Guitarists – Muse Eek https://muse-eek.com Bruce Arnold Innovation in Music Education Sat, 31 Oct 2026 14:40:19 +0000 en-US hourly 1 https://muse-eek.com/wp-content/uploads/2020/08/cropped-Muse-eek-logo-512X512-300dpi-32x32.jpg Guitarists – Muse Eek https://muse-eek.com 32 32 Penthouse Chords https://muse-eek.com/penthouse-chords/ Sat, 31 Oct 2026 14:40:19 +0000 https://muse-eek.com/?page_id=1432789 Continue reading →]]>  

Penthouse_Chords book cover by Bruce Arnold for Muse Eek Publishing Inc.

Penthouse Chords

Tetrachord Superimposition Over Common Chord Progressions

By Bruce Arnold — Muse Eek Publishing Inc. — ISBN 978-1-59489-182-3

29 tetrachords. 13 progressions. Every key.

Penthouse Chords takes superimposition beyond triads and trichords to four-note structures — the complete set of 29 tetrachord prime forms, systematically applied over every common chord type across all twelve keys. The next frontier in harmonic vocabulary.

Recommended prerequisite: Sonic Single
Penthouse Chords builds directly on trichord superimposition. Comfort with several trichords over common chord progressions will make the four-note material significantly more accessible. The ear training path is the same — SerialEar trichord fluency transfers directly to tetrachord work.

What’s included with the book

🎹
Melodic Études
All 29 tetrachords × 13 progressions × 12 keys. PDF + MIDI.

🎵
Arpeggios
All 4 inversions, 6/8 time, all 12 keys. PDF + MIDI.

🎶
Chord Études
Drop-2 voicings, jazz comping rhythm. PDF + MIDI.

🎼
Chord Voicings
All 4 inversions, S1 and S2, all 12 keys. PDF.

♫
Diminished Blues
Melodic, with rests, and chord versions. All 12 keys.


Penthouse Chords — Complete Book + Downloads

The full book in PDF, with access to all downloadable files: melodic études, études with rests, chord études, guitar chord études, chord voicings, guitar chord voicings, arpeggios, and the complete Diminished Blues set — all 29 tetrachords across all thirteen progressions and all twelve keys.

$29.95

Add to cart — $29.95


The Concept

Upper-structure triads give you three notes above the chord. Trichord superimposition (Sonic Single) extends that to any three-note structure from the chromatic scale. Penthouse Chords takes the next step: four-note structures — tetrachords — superimposed over every common chord type.

In pitch-class set theory, four-note structures reduce to 29 distinct prime forms. Each prime form is an interval shape — a specific arrangement of four pitches that sounds the same regardless of transposition. When you practice a tetrachord in all twelve keys, you internalize one shape that works across many harmonic contexts, not twelve separate things.

Why 29?

The 29 tetrachord prime forms divide into three groups based on how they relate to diatonic harmony:

  • Five come from stacking thirds through the major, melodic minor, harmonic minor, and harmonic major scales — these are the Penthouse Chords themselves. Every dominant 7th, minor 7th, major 7th, minor-major 7th, and diminished 7th chord you have ever played reduces to one of these five prime forms.
  • Seven come from stacking diatonic fourths through the same scales — the quartal structures that define modern jazz comping.
  • Seventeen are unreachable by either method. They only appear through chromatic superimposition. These are the frontier.

This book covers all twenty-nine equally, with étude files, chord voicings, and arpeggios for every tetrachord across every chord type and key.


Where to Begin: Three Groups That Bear the Most Fruit

Not all 29 tetrachords are equally accessible as starting points. The book organizes the material into three groups, each with immediately usable results:

The Five Most Important Four-Note Structures

Of the 29 possible tetrachords, five account for every diatonic 7th chord built by stacking thirds through any common scale — major, melodic minor, harmonic minor, and harmonic major. These five are the harmonic skeleton of tonal music. Every dominant 7th, minor 7th, major 7th, and the other common chord types you already play every day reduce to one of them. They are sounds you have been absorbing your whole musical life, now made conscious and systematic. This is where the book begins — and where most players will spend the most productive early practice time.

One of the most useful discoveries the prime form system reveals: several familiar chord types share the same four-note structure. Dominant 7, half-diminished, and minor 6 are all the same tetrachord. Minor-major 7 and augmented major 7 are the same tetrachord. Any superimposition that works over one automatically works over the others — instantly doubling or tripling your harmonic coverage.

The Four-Note Structures That Build Quartal Harmony

A second, smaller group of tetrachords emerges when you stack diatonic fourths rather than thirds through the same scales. These are the structures behind the open, modern sound of McCoy Tyner, Bill Evans’s left hand, and post-bop jazz comping generally. The book covers all of them, including those that require the diminished fourth — an interval that sounds like a major third but is spelled as a fourth, and that gives certain quartal voicings their distinctive edge over altered dominants and harmonic minor contexts.

The Diminished Scale Tetrachord

Before moving into the 17 non-diatonic tetrachords, the book devotes a full chapter and a dedicated étude set to the single tetrachord produced by the diminished scale. Used across its three transpositions, this one structure covers an entire 12-bar blues progression with three different octatonic scales. The Diminished Blues étude is self-contained, immediately musical, and one of the most practical tools in the book.


Structure 1 and Structure 2

Almost every tetrachord appears in the étude files in two versions: S1 and S2. This is because 28 of the 29 prime forms are asymmetric — reading the interval sequence in reverse produces a different set of notes, a different sound, and different harmonic applications.

The best example is Major 7 (0158). S1 is C, Db, F, Ab — tight, chromatic, works over DbΔ7 and Eb-7. S2 is C, E, G, B — the familiar close-position C major 7th voicing. Same prime form. Completely different sounds, working over completely different chord roots.

Getting the structure wrong means the notes clash with the harmony. Getting it right means the superimposition is seamless. The S1/S2 distinction is not a technicality — it is the difference between a tetrachord that fits and one that doesn’t.

The one exception is Diminished 7 (0369): three equal minor thirds produce a palindrome, so S1 = S2. This is also why the diminished 7th chord has only three distinct transpositions in the entire twelve-tone system.

The S1/S2 inversion operation is the same mathematical operation that underlies negative harmony. If you already work with axis reflection and chord mirroring, the S2 of each tetrachord gives you a practiced, systematic vocabulary for the mirror side.


Example Files

Each example below shows one page from a representative étude file, with the first few bars audible as MP3. The complete library — all 29 tetrachords across all 13 progressions and all 12 keys — is included with the book.

Arpeggios — Tetrachord 0127, Structure S1 · 6/8 · All 12 Keys

All four inversions ascending then descending through all twelve keys, in 6/8 time. The arpeggio files build physical command of each tetrachord before applying it to chord progressions. Structure S1 and S2 are in separate files for all asymmetric tetrachords.

Melodic Étude With Rests — Minor-Major 7 (0148), Progression 10 · bⅩ7 bⅦ7 Ⅱ7 Ⅴ7

The Minor-Major 7 tetrachord (0148) over a descending chromatic dominant progression. Random rests break up the constant eighth-note stream, creating a more conversational phrase shape — and revealing whether the material has been truly internalized or just memorized mechanically.

Guitar Chord Étude — Tetrachord 0138, Progression 08 (Drop-2) · Ⅱ7 bⅡ7 ⅠⅠ7 bⅠⅠ7

Drop-2 voicings on the upper four strings over a chromatic descending dominant progression — one of the most common cadential sequences in jazz. All twelve keys. The drop-2 format places all four notes within a four-fret position.

Chord Voicings — Minor 7 (0259), Structure S1 · All 4 Inversions · All 12 Keys

Three bars per key: ascending inversions as quarter notes, peak voicing plus descending, root position whole note. One of the five Penthouse Chords and one of the most common voicings in jazz — here made systematic across all positions and keys.

Diminished Blues — Chord Étude, Key of C · Drop-2 · 36 Bars

Three transpositions of the diminished tetrachord as drop-2 chord voicings over a 12-bar blues, three choruses. Moving between C7, F7, and G7 requires only a half-step shift — a direct consequence of the diminished tetrachord’s unique symmetry. The most immediately usable étude in the book.


Blue Eleven — The 23rd Chord in Practice

Blue Eleven is a composition by Bruce Arnold in the key of G, eleven measures long — a traditional blues with one bar removed. The guitar melody is built entirely from the 23rd chord concept developed by jazz educator Charlie Banacos: three seventh-chord arpeggios stacked in ascending thirds, covering all twelve chromatic pitches.

Each of those three arpeggios is a tetrachord. Together they form a twelve-tone aggregate — three tetrachords that partition all twelve pitch classes with no overlaps. This is the principle at the heart of Chapter 11 of the book, shown here in a real compositional context.

Blue Eleven — Score and Recording

Follow the score and notice how the three seventh-chord arpeggios rotate through their positions as the harmony moves through G7 → C7 → G7 → Bb7 → A7 → Ab7. The complete twelve-note aggregate sits naturally inside a straight-ahead jazz blues.


Recommended Practice Sequence

The book recommends this order — starting with sounds your ear already knows, then moving to increasingly unfamiliar territory:

  1. This course teaches you the five most important Penthouse Chords first — the five tetrachords that account for all diatonic 7th chords. Your ear already knows these sounds. The work is making the superimposition conscious and systematic, in all twelve keys.
  2. Next, The seven quartal tetrachords — These are the open more modern sound of McCoy Tyner and post-bop harmony. Some require the diminished fourth — an interval that sounds like a major third but is spelled as a fourth. The book covers this distinction in detail.
  3. The diminished tetrachord in all three transpositions — the Diminished Blues étude before moving to the other seventeen tetrachords. This establishes the octatonic system as a practical, playable tool.
  4. The remaining seventeen tetrachords — the frontier. These only appear through chromatic superimposition; no diatonic stacking method ever produces them. SerialEar ear training is the recommended companion for this stage.

Ear Training Path

Level Resource What It Builds
1 Ear Training One Note Complete Identify any of the twelve chromatic pitches against a key center — by ear, not by counting intervals.
2 Contextual Ear Training Hear pitches in context of moving chord progressions — how function changes what a note sounds like.
3 — Critical SerialEar Hear all twelve trichords in every inversion and transposition. Every tetrachord contains four overlapping trichords — SerialEar fluency makes the tetrachord étude material audible rather than mechanical.

Not sure where to start? The free Ear Training Guided Tour maps the full curriculum.


Recommended Companion Volumes

Book How It Relates
Sonic Single The natural predecessor. Where Penthouse Chords works with four-note structures, Sonic Single covers all twelve trichord prime forms. Complete or familiar with Sonic Single before starting this book.
SerialEar The critical ear training companion. Trichord fluency from SerialEar transfers directly to tetrachord work — every tetrachord contains four overlapping trichords.
Chord Workbook Volume 2 (CW2) The source of the 775 guitar voicing analysis referenced throughout this book. Drop-2 voicings on the upper four strings across all chord types and keys — the harmonic foundation the Penthouse Chords system is built on.
My Music The theoretical and compositional foundation. Documents the pitch class set system and harmonic rhythm principle that underlies the Penthouse Chords approach.
MetroDrone® Combined drone and metronome. Every étude file in this book is designed to be practiced against a drone in a single key center — MetroDrone is the tool for that.

$29.95

Add to cart — $29.95

Frequently Asked Questions

Do I need to complete Sonic Single before starting Penthouse Chords?

A solid foundation with trichord superimposition will make the material significantly more accessible, but it is not a strict prerequisite. If you are comfortable with your seventh chord arpeggios and have done some ear training work, you can start with the five Penthouse Chords directly. The frontier material — the seventeen non-diatonic tetrachords — will require more ear training work regardless of background.

What is the difference between S1 and S2?

S1 uses the prime form as written — the most compact interval arrangement reading upward. S2 is the inversion: reading the interval sequence in reverse produces a genuinely different set of notes that works over different chord roots. For the Major 7 tetrachord, S1 is the tight chromatic voicing and works over different chord roots than S2 — the familiar close-position major 7th voicing. Both are practiced separately throughout the étude files, and the book includes full compatibility tables for each structure.

Why does the Diminished 7 tetrachord (0369) only have three transpositions?

Because all three of its intervals are equal minor thirds. That perfect symmetry means every fourth semitone returns to an equivalent structure — there are only three distinct diminished 7th chords in the entire twelve-tone system. It is also the only tetrachord where S1 = S2, for the same reason: reversing the interval sequence produces the same sequence. This symmetry is what makes the Diminished Blues étude work so efficiently — one tetrachord covers the whole progression.

What instrument is this written for?

The melodic études and arpeggios are instrument-agnostic, notated in treble clef. The chord études and voicings are most directly useful for guitarists and pianists. Guitar-specific drop-2 voicings on the upper four strings are provided separately from the standard voicings. All MIDI files work with any DAW or MIDI player.

How does the 23rd chord system relate to this book?

The 23rd chord, developed by Charlie Banacos, stacks three seventh-chord arpeggios in ascending thirds to cover all twelve chromatic pitches. Each arpeggio is a tetrachord. Together they form a three-tetrachord aggregate — one of 293 possible ways to partition all twelve pitch classes into three non-overlapping four-note sets. Chapter 11 covers this system in full, with exercises for all eight chord types.

What is the Diminished Blues étude?

A 12-bar blues using three transpositions of the diminished tetrachord — one for each dominant chord in the progression. Because of its unique symmetry, moving between C7, F7, and G7 requires only a half-step shift of the same voicing. Available in melodic, melodic-with-rests, and drop-2 chord versions, in all twelve keys. It is the most immediately usable étude in the book and a good place to start.

A Three-Century Pedagogical Lineage

The principle of hearing music from a tonal center was passed forward through three centuries of teaching. The core chain: Scarlatti → Porpora → Haydn → Beethoven → Czerny → Liszt → Siloti → Vengerova → Graffman → Banacos → Bruce Arnold.

Bruce Arnold studied with Charlie Banacos and Jerry Bergonzi. Banacos’s insistence on hearing every note in relationship to a single key center — and his development of the 23rd chord system at the heart of Chapter 11 — runs through every page of this book.

  • Alessandro Scarlatti (1660–1725)
  • Nicola Porpora (1686–1768)
  • Joseph Haydn (1732–1809)
  • Ludwig van Beethoven (1770–1827)
  • Carl Czerny (1791–1857)
  • Franz Liszt (1811–1886)
  • Alexander Siloti (1863–1945)
  • Isabelle Vengerova (1877–1956)
  • Gary Graffman (1928–)
  • Charlie Banacos (1946–2009)
  • Bruce Arnold (1955–present)

View Full Genealogy Chart


Questions? sales@muse-eek.com — muse-eek.com

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Sonic Twins https://muse-eek.com/sonic-twins/ Mon, 19 Oct 2026 14:06:21 +0000 https://muse-eek.com/?page_id=1432765 Continue reading →]]>  

Sonic Twins Book Cover by Bruce Arnold for Muse Eek Publishing Inc.

Sonic Twins

Symmetric and Asymmetric Trichord Pairs Over Common Chord Progressions

By Bruce Arnold — Muse Eek Publishing Inc. — ISBN 978-1-59489-180-9

Two trichords. One hexachord. Every key.

Sonic Twins takes trichord superimposition to the next level — pairing two trichords that together cover six notes of the chromatic scale, forming a hexachord with specific harmonic properties over each chord type. Systematic, audible, and immediately musical. This course contains all usable triad pairs but expands to include all 3 note combination that are not built in 3rds.

Recommended Prerequisite: Sonic Single
Sonic Twins assumes some fluency with individual trichord superimposition or triad pairs combinations. Completing Sonic Single is a good idea but not required. This course will develop a solid foundation with all relevant trichords across multiple progressions — so if you want to take a deep dive into the modern concept of moving back and forth between to groups of three notes. This course is exactly what you need.

What’s included with the book

🎹
Chord Voicings
All 328 pairs, all 12 keys, PDF + MIDI

🎵
Scale Runs
Hexachord 2-octave runs, all pairs, all keys

🎶
Étude Melodies
32-bar trombone melodies, all pairs, all keys

🎼
Vamp Tracks
Drums + bass + chords, loopable jam tracks

♫
Dyad Sequencing
All 9 dyad combinations per pair, 3 octaves


Sonic Twins — Complete Book + Downloads

The full book in PDF, with access to all downloadable files: chord voicings, arpeggios, scale runs, étude melodies, étude melodies with rests, vamp accompaniments, vamp étude files, and dyad sequencing — for all 328 trichord pairs, across all twelve keys.

$29.95

Add to cart — $29.95


The Concept

In Sonic Single, you work with one trichord at a time — learning to hear and execute each three-note structure over each chord type in every key. Sonic Twins takes the next step: instead of one trichord at a time, you work with pairs.

A trichord pair is two trichords chosen so that together they cover six distinct pitch classes — a hexachord. It is the same concept as two triad pairs but expands to include any 3 note combination. The two trichords share no notes. When you alternate between them over a chord progression, you produce a six-note sound world that is harmonically complete, intervalically rich, and recognizably different from any single trichord.

Symmetric and Asymmetric Pairs

Symmetric pairs use two transpositions of the same trichord prime form. The two trichords share no notes but have identical interval structures. Their combined hexachord is inversionally symmetric — it maps onto itself under inversion. Sonic Twins covers 69 symmetric pairs across all twelve trichord types.

Asymmetric pairs combine two different trichord prime forms. The hexachord produced may or may not be inversionally symmetric. Sonic Twins covers 259 asymmetric pairs. Together the 328 pairs represent the complete curated set of musically useful trichord pairings across all eight chord types.

The 249 Symmetric Hexatonic Pairs

Within the symmetric pairs, 249 produce inversionally symmetric hexatonic scales when considered over specific chord types. The table below shows the count of symmetric hexatonic pairs available for each trichord type over each chord type:

Trichord Maj7 min7 dom7 7sus4 minMaj7 min7b5 dim7 Maj7#5 Total
012 — — 9 9 — — — — 18
013 1 1 7 7 2 — 2 — 20
014 — — 7 5 1 — 2 — 15
015 — — 5 8 — — — — 13
016 — — 12 8 — — 4 — 24
024 2 2 1 9 — — — — 14
025 — — 7 6 — — 2 1 16
026 — — 12 9 3 — 4 — 28
027 3 3 9 15 — — — 1 31
036 — — 16 9 4 1 16 — 46
037 1 1 7 8 2 1 2 — 22
048 — — 1 1 — — — — 2
Total 7 7 93 94 12 2 32 2 249

Trichord Pairs in Practice: Compositions

The fastest way into the sound of a trichord pair is to listen to music built from it. The compositions below use specific trichord pairs consistently throughout — the melodies and harmonies derive from the two trichords moving through the chord changes.

015 — Entanglement

Trichord 015 over Rhythm Changes (I Got Rhythm). The available tones for each chord determine which 015 pair positions appear — watch how the pair shifts as the harmony moves through the A and B sections.

015 — SpiderWeb

Trichord 015 over the changes to Back Home in Indiana. A contrafact built entirely from 015 pair positions — the trichord pair is the sole pitch source throughout.

015 — Tangible

Trichord 015 over Rhythm Changes with a bass groove feel. Three compositions using the same trichord over the same progressions — each one demonstrates a different approach to deploying the pair.


Example Files

Each file type in the Sonic Twins library is shown below with a representative example. The complete library contains files for all 328 trichord pairs across all twelve keys — these examples show the format and sound of each type.

Chord Voicings — Symmetric 015+015: C Db F / Eb E Ab

Hexachord: C Db Eb E F Ab  |  Works over: dom7, 7sus4

Six closed-position voicings of the trichord pair cycle through ascending and descending inversions across all twelve keys. Learn the shapes first, then transpose. The goal is automatic recognition of each voicing by ear and by touch.

Trichord Pair Arpeggios — Symmetric 015+015: C Db F / Eb E Ab

Same 6 inversions as chord voicings — arpeggiated in 6/8, all 12 keys

The same six inversions as the chord voicings, presented as flowing 6/8 melodic lines. The shapes are identical — but your ear now hears them as melody rather than harmony. This is the bridge between chordal and linear use of the pair.

Hexachord Scale Run — Asymmetric 026+037: C D Gb / E G B

Hexachord: C D E Gb G B  |  2 octaves up + down, all 12 keys

The six-note hexachord as a two-octave ascending and descending scale, starting from middle C. Each key occupies one line. Final note is a dotted half. This is the most direct way to hear the hexachord as a single pitch collection before breaking it into its component trichords.

Vamp Accompaniment — Asymmetric 026+048: C D Gb / Eb G B

Drums + bass + chords  |  12 bars loopable  |  Key of C

A loopable drum, bass, and chord track — the backing groove for practicing the étude material. Twelve bars, six ascending inversions and six descending, loops cleanly. Use this as your practice backing track while working through the étude files.

Étude Melody — Symmetric 036+036: C Eb Gb / E G Bb

Hexachord: C Eb E Gb G Bb  |  Works over: dom7, dim7  |  Key of C

A 32-bar trombone melody using the trichord pair as its pitch source — quarters, eighths, and eighth triplets. The melody alternates freely between the two trichords. Available as melody only, or merged with the vamp accompaniment for full band context.

Étude With Rests — Asymmetric 027+027: C D G / Db Gb Ab

30% quarter rests on beats  |  Key of C

The same 32-bar melody with approximately 30% of the quarter-note beats replaced by quarter rests. The rests create phrasing and breathing room. Use this version after the standard étude feels automatic — the rests reveal whether you are truly hearing the material or just executing it mechanically.

Étude Melody — Asymmetric 015+027: C Db F / E A B

Hexachord: C Db E F A B  |  Key of C

An asymmetric pair combining trichords 015 (C Db F) and 027 (E A B). The hexachord C Db E F A B has a wide interval range — both a half step (C–Db) and a major seventh (Db–C at the octave) — giving the melody a dramatic, wide-ranging character.

Dyad Sequencing — Symmetric 037+037: C Eb G / D F A

Works over: min7  |  Dyad pair: C-Eb / D-F  |  All 12 keys

Each trichord has three dyads; a pair has nine combinations. Dyad sequencing works one combination through three octaves ascending and back down, across all twelve keys. This is the microscope of the Sonic Twins system — isolating each two-note subset to make the pair’s interval content fully transparent.


Download Complete Sets

Every file type is available as a complete zip download from right inside the PDF. These downloads are extensive and covering all 328 trichord pairs across all twelve keys. Various types of exercises are presented. Below is a list:

File Set Contents
Chord Voicings — Symmetric 69 pairs × all 12 keys. PDF + MIDI.
Chord Voicings — Asymmetric 259 pairs × all 12 keys. PDF + MIDI.
Trichord Pair Arpeggios — Symmetric 69 pairs × all 12 keys. PDF + MIDI.
Trichord Pair Arpeggios — Asymmetric 259 pairs × all 12 keys. PDF + MIDI.
Hexachord Scale Runs All 328 pairs. PDF + MIDI.
Étude Melodies All 328 pairs × 12 keys. PDF + MIDI.
Études With Rests All 328 pairs × 12 keys. PDF + MIDI.
Vamp Accompaniments All 328 pairs × 12 keys. MIDI.
Vamp Études with Melody All 328 pairs × 12 keys. MIDI.
Vamp Études with Melody + Rests All 328 pairs × 12 keys. MIDI.
Dyad Sequencing All 249 symmetric pairs, 9 combinations each, all 12 keys. PDF + MIDI.

Recommended Practice Sequence

  1. Listen to the vamp accompaniment to establish harmonic context.
  2. Study the chord voicings — learn the shapes, then transpose through all twelve keys.
  3. Play the trichord pair arpeggios — hear the voicings as lines.
  4. Run the hexachord scale — hear the full six-note pitch collection linearly.
  5. Practice the étude without rests — slow enough to hear each note against the drone.
  6. Practice the étude with rests — let the rests create phrasing.
  7. Listen to the vamp étude — hear the result in full musical context.
  8. Practice dyad sequencing — isolate each two-note subset across registers.

Ear Training Path

Level Resource What It Builds
1 Ear Training One Note Complete Identify any of the twelve chromatic pitches against a key center — by ear, not by counting intervals.
2 Contextual Ear Training Hear pitches in context of moving chord progressions — how function changes what a note sounds like.
3 — Critical SerialEar Hear all twelve trichords in every inversion and transposition against a drone. Without this, the Sonic Twins étude material is mechanical rather than audible.

Not sure where to start? The free Ear Training Guided Tour maps the full curriculum.


Recommended Companion Volumes

Book How It Relates
Sonic Single Recommended by not required. Complete Sonic Single before starting Sonic Twins especially if you are new to using trichords or pivoting between two groups of three notes.
Sonic Resource Guide The complete theoretical reference for every possible use of every three-note combination across every chord type. Plus a lot more. Think of this book as your Thesaurus Of Scales which shows you every chord that works over every scale. Massive 800 page book.
SerialEar Trains the ear to hear all possible three-note structures in every inversion and transposition. Essential for making the Sonic Twins material audible. This course is a life changing method to develop your ability to hear all three note structures instantly. A must for anyone who wants to truly play by ear!
The Sound Cells Series 78 volumes covering all possible trichord pair combinations with compositions, étude files, and reference material. A profound collection of exercises that give you the big picture and a deep dive into hexatonics and trichord pairs.
MetroDrone® Combined drone and metronome essential for key-center ear training. Every file in this book is designed to be practiced against a drone. MetroDrone can be used for ear training but also to develop the ability to “feel time not count time.”

$29.95

Add to cart — $29.95

Frequently Asked Questions

Do I need to complete all of Sonic SingleSonic Single before starting Sonic Twins?

You need a solid foundation — comfortable with several trichords across multiple chord types in all twelve keys. You do not need to have completed all twelve trichords. The minimum is a genuine ear-level fluency with the trichords you plan to work with in pairs.

How many trichord pairs does Sonic Twins cover?

328 pairs in total — 69 symmetric and 259 asymmetric. Each pair has files for all twelve keys across all applicable chord types.

What is the difference between symmetric and asymmetric pairs?

A symmetric pair uses two transpositions of the same trichord prime form whose combined hexachord is inversionally symmetric. An asymmetric pair combines two different trichord prime forms. Both are fully covered in Sonic Twins.

What instrument is this written for?

The book and étude files are instrument-agnostic. The étude melodies are notated in treble clef for trombone range but can be played on any pitched instrument. The chord voicings are most directly useful for pianists and guitarists. All MIDI files work with any DAW or MIDI player.

How does Sonic Twins relate to the Sound Cells series?

The Sound Cells series covers all 78 possible trichord pair combinations in individual volumes with compositions and recordings. Sonic Twins is the comprehensive systematic course — étude files, position references, and reference tables for all 328 pairs across all chord types and keys.

A Three-Century Pedagogical Lineage

The principle of hearing music from a tonal center was passed forward through three centuries of teaching. The core chain: Scarlatti → Porpora → Haydn → Beethoven → Czerny → Vengerova → Madame Chaloff → Banacos → Bruce Arnold.

Bruce Arnold studied with Charlie Banacos and Jerry Bergonzi. That insistence on hearing every note in relationship to a single key center is the foundation on which the entire Sonic Twins system is built.

  • Alessandro Scarlatti (1660–1725)
  • Nicola Porpora (1686–1768)
  • Joseph Haydn (1732–1809)
  • Ludwig van Beethoven (1770–1827)
  • Carl Czerny (1791–1857)
  • Isabelle Vengerova (1877–1956)
  • Madame Chaloff (1900–1977)
  • Charlie Banacos (1946–2009)
  • Bruce Arnold (1955–present)

View Full Genealogy Chart


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Sonic Single https://muse-eek.com/sonic-single/ Mon, 05 Oct 2026 03:03:44 +0000 https://muse-eek.com/?page_id=1432738 Continue reading →]]>  

Sonic_Single_Cover by bruce arnold for muse eek publishing inc.

Sonic Single

Trichord Superimposition Over Common Chord Progressions

By Bruce Arnold — Muse Eek Publishing Inc. — ISBN 978-1-59489-181-6

Every trichord. Every chord type. Every key.

Sonic Single is an upper structure triad course on steroids. If covers every three note possibility that can be used over 8 common chord types! Also, Sonic Single is the complete systematic method for superimposing the twelve trichord prime forms over the most common chord progressions in jazz and modern music — across all twelve keys, with full étude files for every combination.

What’s included with the book

🎶
Melodic Études
34 progressions × 12 trichords × 12 keys — constant eighth-note lines

🎹
Chord Études
Voiced three-note chords for pianists and guitarists, all progressions and keys

🎼
Études With Rests
Same material with rests — tests internalization, develops phrasing

🎵
Position Files
All valid trichord positions per chord type, all keys — the complete reference


Sonic Single — Complete Book + Downloads

The full book in PDF, with access to all downloadable files: melodic études, chord études, études with rests, and individual position files — for all twelve trichords, all 34 progressions, all twelve keys. Everything linked directly from inside the text.

$29.95

Add to cart — $29.95


What Is a Trichord?

A trichord is any combination of three notes considered as a pitch-class set — defined by the intervals between the notes rather than by the specific pitches used. There are twelve trichord types, called prime forms, that cover all possible three-note interval structures. Every three-note group you have ever played belongs to one of these twelve families.

In standard pitch-class set theory, each prime form is labeled by its interval content in integer notation. The twelve trichords are:

Prime Form Notes from C Interval Structure Common Name
012 C Db D half step + half step Chromatic cluster
013 C Db Eb half step + whole step —
014 C Db E half step + minor third —
015 C Db F half step + major third —
016 C Db Gb half step + tritone —
024 C D E whole step + whole step Whole-tone fragment
025 C D F whole step + minor third —
026 C D Gb whole step + tritone —
027 C D G whole step + perfect fifth Sus2 fragment
036 C Eb Gb minor third + minor third Diminished trichord
037 C Eb G minor third + major third Minor triad
048 C E Ab major third + major third Augmented triad

Each trichord has two structures: Structure 1 (S1) is the prime form as shown; Structure 2 (S2) is its inversion — the same interval content read bottom to top in reverse. For trichords where S1 and S2 produce the same interval content (like 036 and 048), there is effectively one structure. For all others, S1 and S2 are distinct and both are covered in the étude files.


The Sonic Single System

Sonic Single is built on one question: for a given trichord, which positions of that trichord are available over a given chord type, and how do you develop the speed and ear to use them at performance tempo?

The answer requires three things: knowing which positions are available (the reference material), hearing what they sound like against the chord (the listening practice), and training the fingers to execute them automatically (the étude practice). Sonic Single provides all three for every trichord over every chord type in every key.

Eight Chord Types

The available positions for each trichord are determined by which notes of the trichord qualify as available tones over the chord — chord tones and recognized tensions that sound consonant rather than wrong. Sonic Single covers eight chord types:

Chord Type Symbol Available Degrees
Major 7 Δ7 1, 2, 3, #11, 5, 6, 7
Minor 7 -7 1, 2, b3, 4, 5, 6, b7
Dominant 7 7 1, b2, 2, b3, 3, #11, 5, b6, 6, b7
7sus4 7sus4 1, b2, 2, b3, 3, 4, 5, b6, 6, b7
Minor/Major 7 -Δ7 1, 2, b3, 4, #11, 5, 6, 7
Minor 7b5 -7b5 1, 2, b3, 4, b5, b6, b7
Diminished 7 °7 1, 2, b3, 4, b5, b6, bb7, 7
Major 7#5 Δ7#5 1, 2, 3, #11, 5, #5, 7

34 Progressions

The étude files cover 34 chord progressions drawn from the most common harmonic sequences in jazz and modern music — ii-V-I, blues, Rhythm Changes, modal vamps, and more. Each progression is notated at the top of the score with Roman numeral analysis and chord symbols. The progressions increase in complexity, from single-chord vamps (progressions 1–8) through two-chord alternations and finally through multi-chord sequences that require the ear to track position changes across the bar line.


Trichords in Practice: Compositions

The fastest way to hear a trichord is to listen to music built from it. The compositions below were written using specific trichords as their primary pitch source. Follow the score while you listen — notice how the same three-note shapes appear in different inversions and transpositions throughout the piece. This is the sound you are working toward in the étude practice.

012 — Chromatic Reasoning

Trichord 012 is the most chromatic of all twelve prime forms — three consecutive half steps. Over the available tones of a dominant 7 or 7sus4 it finds six positions; over most other chord types it has none. Chromatic Reasoning shows what a composition built entirely from this concentrated, half-step-saturated structure sounds like over a moving progression.

013 — 013 Blues in B

Trichord 013 is one of the most versatile in the system — it works over all eight chord types. 013 Blues in B places both structures over a blues progression. Art of the Blues contains twelve versions of a blues progression using the 013 trichord with different approaches on each.

014 — Numbers

Trichord 014 spans a half step and a major third — an interval combination that sits slightly outside familiar triadic shapes while remaining firmly inside the available tones of the chord. Numbers uses both structures of 014 over a standard jazz progression.

015 — Entanglement, SpiderWeb, and Tangible

Three compositions using trichord 015 are included because 015 is the central example throughout this book. Entanglement and Tangible use Rhythm Changes; SpiderWeb uses the changes to “Back Home in Indiana.” In all three, available chord tones and tensions determine which 015 positions appear.

016 — Smoke

Trichord 016 contains a tritone — a half step and a tritone in either order. This gives it an edgy, suspended quality that sits particularly well over dominant 7 chords, where it yields eight valid positions. Smoke makes full use of that range.

024 — Grey and Brown

Trichord 024 is built from two whole steps — the most symmetric of the non-symmetric-feeling trichords, immediately connected to pentatonic and major scale sounds. Grey and Brown isolates that sound and makes it the entire language of the piece.

025 — Beauty Queen

Trichord 025 spans a whole step and a perfect fourth — a combination that gives it a spacious, open quality. It works over all eight chord types. Beauty Queen shows 025 in a context where that openness is foregrounded.

026 — Derivative

Trichord 026 combines a whole step and a tritone. Like 016 it yields eight positions over the dominant 7 chord. Derivative works through both structures across a progression that highlights the different colors each structure brings.

027 — A Day in the Badlands

Trichord 027 — a whole step and a perfect fifth — is the most naturally resonant of all twelve trichords. It appears in every diatonic scale family and both pentatonic scales. A Day in the Badlands shows what that accessibility sounds like when developed into a complete musical statement.


Example Files

Each file below is a representative example of one of the four étude types included with Sonic Single. The score shows the first page of the notation; the audio plays a rendered version of the file. The full library contains 34 progressions per trichord across all twelve keys — these examples show the format so you know what to expect when you open the files.

Note for media library upload: The PDF and MP3 files below need to be uploaded to your WordPress media library. The filenames and suggested upload folders are noted with each entry.

Melodic Étude — Trichord 013, Progression 28

E-7   Eb°7   D-7   G7   (III-7  bIII°7  II-7  V7)

The melodic étude is the foundation of Sonic Single practice. Constant eighth notes cycle through all valid positions of the trichord over the chord progression, transposed through all twelve keys. Structure S1 appears first, then S2. The goal is even, automatic execution — drilling the trichord positions into muscle memory and ear simultaneously.

This example uses trichord 013 over a minor turnaround (III-7 bIII°7 II-7 V7), Progression 28. The two structures of 013 — a half step plus a minor third (S1) and a minor third plus a half step (S2) — appear in all their valid positions over the minor 7, diminished 7, minor 7, and dominant 7 chords. The audio plays the first key; the full file covers all twelve.

Chord Étude — Trichord 027, Progression 16

C-7   EbΔ7   AbΔ7   G7   (I-7  bIIIΔ7  bVIΔ7  V7)

The chord étude presents each trichord position as a voiced three-note chord rather than a melodic line — for pianists, guitarists, and anyone working with harmony. The rhythm is a characteristic jazz comping figure. This example uses trichord 027 — a whole step and a perfect fifth — over a minor progression with major 7 substitutions. The open, resonant quality of 027 is especially effective in a chordal context.

Étude With Rests — Trichord 037, Progression 10

CΔ7   Eb7   Ab7   Db7   (IΔ7  bII7  bVI7  bII7)

The étude with rests uses the same trichord positions as the melodic étude but breaks up the constant eighth-note stream with rests. This creates more conversational phrasing — and reveals whether you have truly internalized the material. If the rests feel like interruptions you are fighting against, the underlying étude needs more practice. This example uses trichord 037 (the minor triad) over a descending whole-step progression.

Individual Positions — Trichord 025, Structure S1

All valid positions of 025 S1 over each chord type — keys of C and F shown

The positions file is a reference document as much as a practice file. Rather than running the trichord over a progression, it isolates each valid position of one structure over one chord type at a time, in all twelve keys. This gives you a direct view of the available tones — exactly which notes of the trichord align with which scale degrees over each chord. Where a chord type shows no positions, the trichord has no available placement over that chord.

Sonic Twins Preview Examples

The following two examples are from Sonic Twins — the companion course to Sonic Single. Where Sonic Single works with one trichord at a time, Sonic Twins works with pairs: two trichords that share a symmetric or asymmetric relationship, used together over a chord progression.

Sonic Twins — Trichord 026, Symmetric Pairs, Structure S2

026 [0,4,6] — all valid symmetric pairs over each chord type

A symmetric pair is two transpositions of the same trichord that together produce a symmetrical pitch-class set. For trichord 026 S2 — a major third plus a whole step — the symmetric pairs are transpositions where the two 026 trichords share a tritone relationship. The file works through all valid symmetric pairs of 026 S2 over each chord type, in all twelve keys.

Sonic Twins — Trichord 037, Asymmetric Pairs

037 [0,3,7] — all valid asymmetric pairs over each chord type

An asymmetric pair uses two different transpositions of the trichord that do not form a symmetrical set. For trichord 037 — the minor triad — the asymmetric pairs produce a wider range of harmonic colors. 037 is one of the most harmonically active trichords in the Sonic Twins system because the minor triad appears in so many chord types and scale families.


What’s Included With Purchase

Every downloadable file is linked directly from inside the book — no login, no download portal. Purchase the book and every link below becomes available from the page where it is discussed.

File Type What You Get Format
Melodic Études All 12 trichords × 34 progressions × 12 keys. Constant eighth notes through all valid positions, S1 then S2. PDF + MIDI
Chord Études All 12 trichords × 34 progressions × 12 keys. Voiced three-note chords with jazz comping rhythm. PDF + MIDI
Études With Rests All 12 trichords × 34 progressions × 12 keys. Same as melodic étude with rests added. PDF + MIDI
Individual Position Files All valid positions of each trichord structure over each chord type, all 12 keys. Reference and practice. PDF + MIDI
Sonic Twins Preview Symmetric and asymmetric pair files for selected trichords — a preview of the companion course. PDF + MIDI

Recommended Practice Path

  1. Listen first. Before playing a file, listen to the audio version while following the score. Let the ear hear the pattern before the hands play it.
  2. Sing it. Use solfeggio syllables and sing the melody against a drone before touching your instrument.
  3. Play slowly. Work through the first key at a tempo where every note is deliberate and in tune. Speed comes from accuracy, not from pushing tempo.
  4. Transpose in circle-of-fourths order. C, F, Bb, Eb, Ab, Db, Gb, B, E, A, D, G — each new key is a fourth away from the last. This is the most musically natural transposition order.
  5. Use a drone. Every étude is designed to be practiced against a drone on the key center. Without a drone you are training fingers without training ears.
  6. One trichord at a time. Complete one trichord across all 34 progressions before moving to the next. The system is cumulative — the later trichords will make more sense once the earlier ones are in your ear.

Ear Training Path

Everything in this book depends on one ability: hearing pitches in relationship to a key center. This is a trained skill, not a natural one. Three levels of training are recommended, practiced concurrently:

Level Resource What It Builds
1 Ear Training One Note Complete Identify any of the twelve chromatic pitches against a key center — by ear, not by counting intervals.
2 Contextual Ear Training Hear pitches in context of real chord progressions — how harmonic function changes what a note sounds like.
3 — Critical SerialEar Hear all twelve trichords — every inversion, every transposition — against a drone. This is what makes the étude material audible rather than mechanical.

Not sure where to start? The free Ear Training Guided Tour maps the full curriculum.


Recommended Companion Volumes

Book How It Relates
Sonic Twins The direct sequel. Where Sonic Single works one trichord at a time, Sonic Twins works with pairs — two trichords combined into a six-note hexachord, used together over a chord progression. Complete Sonic Single first.
Sonic Resource Guide The complete reference: every possible use of every three-note combination across every chord type and musical context. The theoretical foundation behind the Sonic Single system.
SerialEar Trains the ear to hear all possible three-note structures in every inversion and transposition against a drone. Essential for making the Sonic Single étude material truly audible.
Ear Training One Note Complete The foundational ear training course. Work through this before or alongside Sonic Single.
My Music The theoretical and historical foundation for working with trichords in jazz — compositional lineage, twelve-tone techniques, and the harmonic rhythm principle.
MetroDrone® Combined drone and metronome essential for key-center ear training. Every étude in this book is designed to be practiced against a drone.

Sonic Single — Complete Book + Downloads

The full book in PDF, with access to all downloadable files linked directly from inside the text.

$29.95

Add to cart — $29.95

Frequently Asked Questions

Do I need to know music theory to use this book?

You need to be able to read standard music notation and understand basic chord symbols (Maj7, -7, 7, etc.). The book explains pitch-class set theory from scratch in the introduction, so no prior knowledge of that is required. A working understanding of chord tones and tensions for the eight chord types covered is helpful; Chapter 5 of the book documents all of them.

How long does it take to complete the system?

This is entirely dependent on how much you practice and at what depth. Some students spend a year on a single trichord, going deep on all 34 progressions in all twelve keys. Others move faster through more material at shallower depth. The honest answer is that the system is large enough to support years of serious practice — and the ear training that makes the material meaningful takes as long as it takes.

What instrument is this written for?

The book is instrument-agnostic. All études are notated in treble clef in standard notation. The chord étude files are most directly useful for pianists and guitarists, but any pitched instrument can use all the files. The MIDI files work with any DAW or MIDI playback setup.

Is this related to Sonic Twins?

Yes. Sonic Single is the prerequisite to Sonic Twins. Complete Sonic Single — or at least develop a solid foundation with several trichords across multiple progressions — before starting Sonic Twins. The Sonic Twins examples in Chapter 4 of this book give you a preview of where the system goes.

Do the MIDI files require a specific software setup?

Any MIDI player or DAW will open the files. The files are standard General MIDI, so any soundfont or software instrument will play them back. For the best results, use a high-quality piano or instrument sound that responds to velocity, so the musical phrasing of the étude is clear.

A Three-Century Pedagogical Lineage

The principle of hearing music from a tonal center was passed forward through three centuries of teaching. The core chain runs: Scarlatti → Porpora → Haydn → Beethoven → Czerny → Vengerova → Madame Chaloff → Banacos → Bruce Arnold.

Bruce Arnold studied with Charlie Banacos and Jerry Bergonzi. That training — the insistence on hearing every note in relationship to a single key center — is the foundation on which the entire Sonic Single system is built.

  • Alessandro Scarlatti (1660–1725)
  • Nicola Porpora (1686–1768)
  • Joseph Haydn (1732–1809)
  • Ludwig van Beethoven (1770–1827)
  • Carl Czerny (1791–1857)
  • Isabelle Vengerova (1877–1956)
  • Madame Chaloff (1900–1977)
  • Charlie Banacos (1946–2009)
  • Bruce Arnold (1955–present)

View Full Genealogy Chart


Questions? sales@muse-eek.com — muse-eek.com

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Superscales https://muse-eek.com/superscales/ Tue, 22 Sep 2026 16:28:29 +0000 https://muse-eek.com/?page_id=1432666 Continue reading →]]>  

SuperScales

Symmetrical Harmony, Subsets, and Modular Scale Applications for Modern Improvisation

By Bruce Arnold — Muse Eek Publishing Inc. — ISBN 978-1-59489-178-6

A discovery with no precedent in the chord-scale literature.

Of all possible seven-note scales, exactly one has all twelve of its chromatic transpositions functioning over real chords in real chord progressions. That scale is Melodic Minor Ascending — and this book is the complete system built on that finding.

Every resource links directly from inside the book.

No download portal. No login. No hunting through folders. Click a link and get exactly what you need.

🎶
MMA Chord Charts
All 12 transpositions in all 12 keys — download as zips, practice immediately

🎹
Subset Exercises
4-, 5-, and 6-note subsets in PDF — 21 files linked from Chapter 5

🎼
MIDI Practice Files
Drone and accompaniment MIDIs in all 12 keys — 864 files total

🎵
Trichord Pair Études
2,521 étude files covering every MMA trichord pair combination


SuperScales — Complete Book + Downloads

The full book in PDF, with access to all downloadable files: chord charts, subset PDFs, MIDI études, modal sequencing files, and trichord pair exercises — linked directly from inside the text. Everything you need to work through the complete MMA system in all twelve keys.

$29.95

Add to cart — $29.95


Why Learn MMA? The Argument Most Students Never Hear

Most students who encounter Melodic Minor Ascending hit the same wall. They look at the seven diatonic chords of the scale and see three chord qualities that don’t show up in their everyday playing:

MMA Mode Chord Quality Common reaction
Mode I — MMA itself C-Δ7 (minor-major 7) “I use this sometimes”
Mode II — Dorian ♭2 D7sus4♭9 “I almost never see this”
Mode III — Lydian ♯5 E♭Δ7♯5 “When would I use this?”
Mode IV — Lydian Dominant F7♯11 “Yes, this I know”
Mode V — Mixolydian ♭13 G7♭13 “Yes, this too”
Mode VI — Locrian ♮2 A-7♭5add9 “Half-diminished add 9? Skip.”
Mode VII — Altered B7alt “This I definitely need”

The conclusion most students reach: “I only need Lydian Dominant, Mixolydian ♭13, and the Altered scale. I can skip the rest — and maybe skip MMA altogether.”

This is the single most common reason students abandon MMA before it has a chance to work. And it is based on a fundamental misreading of what the system is showing.

The misunderstanding: those “rare” chord qualities aren’t home chords. They’re keys to secondary dominants.

When you learn the MMA transposition rooted on E♭ — whose home chord is E♭Δ7♯5 — you are not learning a scale for E♭Δ7♯5 chords specifically. You are learning a transposition whose seven diatonic chords include a Lydian Dominant, an Altered dominant, a Mixolydian ♭13, and a half-diminished — all the sounds you already use, now available from one new key center.

Secondary Dominants: Where This System Actually Lives

Secondary dominants — dominant-function chords borrowed to tonicize scale degrees other than the tonic — appear in roughly 90% of Western tonal music. Jazz standards, blues, pop, country, classical harmony: the secondary dominant is everywhere. In any key, there are twelve dominant-function chords: the V7 of the key, plus the secondary dominant of every other scale degree.

Before knowing about the SuperScale property, the practical case for MMA was already strong: all seven MMA modes function over secondary dominants. That includes Dorian ♭2, Lydian ♯5, and Locrian ♮2 — the three modes students assume are too rare to bother with. Every one of those transpositions is the scale you need over a secondary dominant that appears constantly in real repertoire.

A concrete example: In the key of C, the chord E7 is V/vi — the secondary dominant of A minor. The correct MMA transposition is B MMA (starting from the fifth of E). That transposition’s home chord is B-Δ7 — another “rare” chord quality. But B MMA over E7 gives you the Altered sound, one of the most useful colors in jazz. You weren’t learning a scale for B-Δ7 chords. You were learning what to play over E7 — a chord that shows up in hundreds of standard tunes.

The SuperScale discovery takes this further: not just “all seven modes are useful” but “all twelve chromatic transpositions cover all twelve dominant-function chords in a single key center, verified computationally.” That is the deeper reason to learn every MMA transposition — including the ones whose home chord you think you’ll never encounter. You’re not learning it for the home chord. You’re learning it for the six other chords inside that transposition, several of which you use every time you play a standard.

If you skip this transposition… You lose access to these secondary dominants in C
E♭ MMA (home: E♭Δ7♯5) A♭7♯11, B♭7♭13, C-7♭5, D7alt — all common in jazz standards
D MMA (home: D-Δ7) G7♯11, A7♭13, B-7♭5, D♭7alt — V7 of G, V7 of A, and more
A♭ MMA (home: A♭-Δ7) D♭7♯11, E♭7♭13, F-7♭5, G7alt — tritone subs and secondary dominants throughout

This is why the book covers all twelve transpositions, and why the practice materials are organized to build fluency in each one from a single key center. Skipping the “unfamiliar” home chords means skipping the secondary dominant vocabulary that appears in almost every song you will ever play.


What Is a SuperScale?

Music theory classifies scales by their internal interval structure — the pattern of whole steps and half steps that gives a scale its characteristic sound. This book is concerned with a different property entirely: not how a scale sounds in isolation, but how its twelve chromatic transpositions relate to the harmonic world around them.

A SuperScale is a pitch-class collection meeting two conditions simultaneously:

  1. All twelve of its chromatic transpositions must each form a recognized, musically usable scale.
  2. Each of those twelve transpositions must function over a real chord in an actual chord progression — confirmed computationally, not assumed theoretically.

Both conditions must be met. The bar is high. That is precisely why the catalog of SuperScales is small — and why the seven-note result is so striking.

Why this matters for improvisation: Jazz harmony, as most commonly taught, is organized chord by chord. Each chord generates its own scale universe. The improviser follows the changes, switching scale thinking with each new chord symbol. The SuperScale property offers an alternative: a single scale family that covers all twelve dominant-function chords in a key — reducing cognitive load and keeping the ear anchored while the harmony moves underneath.

The Melodic Minor Ascending System

Of all possible seven-note scales, exactly one — Melodic Minor Ascending (set class 7-34, interval pattern W-H-W-W-W-W-H) — passes both SuperScale conditions for all twelve transpositions. Every other seven-note scale fails at least one condition for at least one transposition.

In the key of C, all twelve dominant-function chords — the tonic dominant plus all eleven secondary dominants — map precisely onto the twelve chromatic transpositions of MMA. The book includes the complete reference table for this mapping, with every chord, its corresponding MMA transposition, and its relationship to the key center. It is the core reference of the entire system, and it is immediately playable: every entry is a real chord from real repertoire paired with the MMA transposition that serves it.

There is a simple interval relationship that locates the correct transposition for any dominant chord, and it is explained in full in Chapter 2. But as the book makes clear, knowing the relationship and hearing the relationship are two different things — and only one of them works at performance tempo.

12 transpositions × 7 diatonic chords each = 84 distinct chord–scale relationships covered by one scale family, from one key center, without switching harmonic frameworks. That is before counting the subset scales within each transposition or the trichord pair applications.

The Banacos connection: Charlie Banacos taught that you should hear as much as possible from one tonal center — reduce cognitive load, let the ear stay anchored while the harmony moves. The MMA discovery is a Banacos question: it could only have been asked by someone trained to hear that way. His influence runs through every chapter of this book.

The MMA Subsets — Three Tools, Three Sounds

The full seven-note MMA scale is the Rosetta Stone of the system. But the subsets drawn from it — the 4-, 5-, and 6-note collections that live inside MMA — are where many players will spend most of their time. Each size has a distinct musical character and a distinct set of applications. They are not simplified versions of the full system. They are different tools.

6-Note Subsets — Hexatonics
10 confirmed SuperScales • Chapter 5

The six-note subsets of MMA are the sound of modern jazz harmony. Six notes leave six chromatic pitches unplayed — enough open space to avoid sounding scale-like, enough density to imply clear harmonic color. This is the sweet spot for sophisticated jazz improvisation: the hexatonics give you a contemporary, intervallic sound that sits comfortably over dominant and altered dominant chords without telegraphing every note of the underlying scale.

If you have worked through any of the Sound Cells series, you already know the hexatonic world. The MMA hexatonics are the subset of that world that maps directly onto the MMA key-center system — the same interval structures, now organized by transposition and confirmed computationally to function over real harmonic situations.

Best for: Jazz improvisation • Modern harmony • Post-bop and contemporary styles • Players already familiar with hexatonic superimposition who want a systematic key-center framework

5-Note Subsets — Pentatonics
12 confirmed SuperScales • Chapter 5

Pentatonics are universal. Every player knows the minor pentatonic. Most know the major pentatonic. The MMA system gives you 21 five-note subsets — all the pentatonic scales that live inside Melodic Minor Ascending, organized by key center and confirmed to function over real chords.

For rock and metal players especially, this is the most immediately actionable part of the book. You already think in pentatonics. The MMA pentatonic subsets hand you a systematic way to move beyond the minor and major boxes into sounds that are fresh without being foreign — still pentatonic in feel, but with interval structures you have not heard from your fingers before. Over a static dominant chord or a drone, these are immediately striking. They do not require a jazz context to work.

The full reference for all 38 pentatonic prime forms and their modes is documented in the Sonic Resource Guide (available separately). The MMA pentatonic subsets are the subset of that catalog confirmed to function within the MMA key-center system.

Best for: Rock and metal players • Any style where pentatonics are already the primary vocabulary • Players who want fresh sounds without abandoning the pentatonic feel • Immediate application over drones and static harmony

4-Note Subsets — Arpeggios & Chords
16 confirmed SuperScales • Highest richness in the catalog • Chapter 5

Four notes leave eight chromatic pitches unplayed. That open space is not emptiness — it is harmonic freedom. The four-note subsets have the highest average richness values in the entire SuperScale catalog, meaning they fit over the widest range of chords with the fewest conflicts. They are the most harmonically flexible material in the system.

In practice, four-note collections are the natural language of arpeggios and chord voicings. Every four-note subset in Chapter 5 is directly applicable as an arpeggio pattern — a complete melodic gesture that implies harmony without spelling it out note by note. For chord-melody players, composers, and anyone working with voicing-based improvisation, the four-note subsets give you a systematic library of arpeggio shapes drawn from the MMA system, each confirmed to function over real chord changes.

They are also the easiest entry point into the system. Fewer notes means less to track mentally, and the high richness means even a beginner with the MMA system will hear these land correctly over the MIDI drone files from the first practice session.

Best for: Arpeggio-based playing • Chord voicing and chord-melody • Composers working with intervallic harmony • Beginning the MMA system • Highest harmonic richness of any subset size

The complete SuperScale catalog by size — trichords through octatonics, with richness values and prime forms for every confirmed SuperScale — is documented in Appendix B of the book. The octatonic SuperScales are referenced there; the full octatonic practice framework is the subject of SuperScales III (forthcoming).


What’s Included With Purchase

Every downloadable file is linked directly from inside the book — no login, no download portal, no hunting through folders. Purchase the book and every link below becomes available to you from the page it is discussed on.

Category What You Get Chapter
MMA Chord Charts All 12 MMA transpositions in all 12 keys, with diatonic chord labels and scale degree numbers. Standard notation and Roman numeral versions. 4 chart packages. 4
Subset PDFs 4-, 5-, and 6-note subsets of MMA in standard notation and Roman numerals, plus subset comparison charts. 21 PDF files total. Includes pentatonics (rock and metal), hexatonics (modern jazz), and 4-note collections (arpeggios and chord voicings). 5
Trichord Pair Études 2,521 étude files covering every MMA trichord pair combination in all 12 keys. 6
Progression Études & Accompaniment MIDIs 864 accompaniment MIDI drone files and 2,521 étude files with rests — complete practice materials for all MMA transpositions over real chord progressions in all 12 keys. 7
Modal Sequencing Files Modal sequencing files for 4-, 5-, and 6-note subsets and full MMA in all 12 keys. 7

Recommended Practice Path

Read Chapters 8–10 before beginning the exercises. They give you the mental, physical, and rhythmic tools that make every exercise more efficient and less likely to result in injury or wasted repetition.
  1. MMA Chord Charts in C — Begin with the twelve MMA transpositions in the key of C. Work slowly, singing each scale against the drone in the MIDI file. One transposition at a time, until the sound is in your ear before moving to the next key.
  2. 4-Note Subsets — Move to the subset exercises only after the full MMA transpositions feel secure. Start with four-note subsets, which offer the highest harmonic density. The five- and six-note subsets build on that foundation.
  3. Trichord Pair Études — The advanced layer. Work these only after the chord charts and subset exercises feel solid. Start with pairs that use familiar trichord types — 027 pairs are a natural entry point — and build toward less common prime form combinations.
  4. Modal Sequencing — Use the modal sequencing files to develop fluency in hearing each transposition as a continuous melodic gesture across all twelve keys.

The most common mistake: practicing without a drone. Every exercise in this book is designed to be practiced against a drone. Without one, you are training your fingers without training your ear. The MIDI drones are included in every download package for exactly this reason.


Ear Training Path

Everything in this book depends on one ability: hearing pitches in relationship to a key center rather than as isolated notes or intervals. This is a trained skill, not a natural one. The recommended path is sequential — each level makes the next possible — but all three levels should be practiced concurrently once begun.

Level Resource What It Builds
1 Ear Training One Note Complete Hear a single pitch against a key center and identify which of the twelve chromatic degrees it is — not by counting intervals but by recognizing the specific sound of that degree.
2 Contextual Ear Training Hear pitches in the context of real chord progressions — understanding not just what a note is, but how it functions given what is happening harmonically around it.
3 — Critical SerialEar Hear all possible three-note structures (every trichord, every inversion, every transposition) against a drone in a key-center context. This is the step that makes the twelve MMA transpositions audible as twelve different colorings of one key center rather than twelve separate things to memorize.

Not yet sure where to start? The free Ear Training Guided Tour explains the difference between interval-based and key-center hearing and maps the full curriculum.


Recommended Companion Volumes

Book How It Relates
Scale Analysis
ISBN 978-1-59489-431-2
The practical companion to SuperScales. Applies the key-center approach to real chord progressions — twelve-bar blues, minor blues, and Rhythm Changes — across all 12 keys. Covers 28 prime forms including all seven MMA modes. If SuperScales is “why it works,” Scale Analysis is “how to hear it.”
My Music
ISBN 1-890944-11-4
The theoretical and historical foundation for the MMA Trichord Pairs system in Chapter 6. Traces the compositional lineage from Stravinsky and Banacos through McCoy Tyner, and presents the harmonic rhythm principle — pivoting between two trichords in groups of 2, 3, or 4 eighth notes — that underlies the pivot exercises in the download package.
Sound Cells, Vols. 1–78 (forthcoming) Covers all 78 possible trichord pair combinations, one per volume. Students who want to extend the trichord pair work in Chapter 6 beyond MMA — applying it to other hexatonic collections and harmonic contexts — will find the Sound Cells series the natural next step.
SuperScales II (forthcoming) Takes the 84 diatonic chords across the 12 MMA transpositions as harmonic destinations in their own right. The compositional language of Wayne Shorter, Herbie Hancock, Bartók, and the broader post-functional harmony tradition — built on the aural foundation developed in this book.
SuperScales III (forthcoming) Covers the eight-note SuperScale catalog in full — a complete practice framework parallel to the one in this volume, centered on the octatonic candidate C, D♭, E♭, E, G♭, G, A, B♭.

SuperScales — Complete Book + Downloads

The full book in PDF, with access to all downloadable files: chord charts, subset PDFs, MIDI études, modal sequencing files, and trichord pair exercises — linked directly from inside the text.

$29.95

Add to cart — $29.95

Frequently Asked Questions

Do I need to know all 12 MMA transpositions before the system is useful?

No. The system is modular. Begin with the key of C, work through each transposition until the sound is in your ear, then move to one adjacent key. Even a partial command of the system — two or three keys — expands the harmonic vocabulary available from a single tonal center.

Is there a formula for finding the right MMA transposition over a dominant chord?

Yes, there are a few ways to formulate a reference to the correct MMA transposition, and they are shown in the book. But understand what this is: a crutch. At performance tempo, any calculation disappears. The goal is direct recognition — you know where you are in the key, you know the degree, and you hear the MMA sound that belongs there. The formula tells you where to go. Ear training is what makes you stop needing directions.

Can I use this system over non-dominant chords?

This volume concentrates on the twelve-transposition property specifically for dominant-function chords. There are also sections where each MMA transposition’s seven diatonic chords are covered — several of which are non-dominant qualities (minor-major 7, major 7 sharp 5, half-diminished add 9) — as part of each transposition’s harmonic universe. Overall the book concentrates on the use of the 12 dominant chords via the transpositions of the MMA scale. The subset exercises in Chapter 5 further extend the system’s reach into non-dominant territory.

Does the system require abandoning chord-by-chord scale thinking?

No — it offers an alternative, not a replacement. The chord-by-chord approach is powerful and widely used. The MMA system works best where music gives it room: on dominant chords held long enough to be heard, or on fast-moving changes where the ear stays in one key naturally. Learning to sense when the ear is staying and when it is moving is itself a musical skill that develops through the same practice as everything else in this book.

What instrument is this book written for?

The book is pitch-based and instrument-agnostic. The chord charts and subset exercises are written in treble clef in standard notation and apply equally to any pitched instrument. The MIDI practice files work with any DAW or MIDI playback setup. The trichord pair études are notated in standard treble clef notation. There are no bass clef notation examples in this book.

A Three-Century Pedagogical Lineage

The principle of hearing music from a tonal center was not invented by Charlie Banacos. It was passed forward through three centuries of teaching. The core chain runs: Scarlatti → Porpora → Haydn → Beethoven → Czerny → Vengerova → Madame Chaloff → Banacos → Bruce Arnold.

Bruce Arnold studied with Banacos for five years. That training made the MMA discovery musically meaningful rather than merely mathematical. By working through the material in this book, you join that lineage.

  • Alessandro Scarlatti (1660–1725)
  • Nicola Porpora (1686–1768)
  • Joseph Haydn (1732–1809)
  • Ludwig van Beethoven (1770–1827)
  • Carl Czerny (1791–1857)
  • Isabelle Vengerova (1877–1956)
  • Madame Chaloff (1900–1977)
  • Charlie Banacos (1946–2009)
  • Bruce Arnold (1955–present)

View Full Genealogy Chart


Questions? Contact us below

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Trichord_Pair_Series by Bruce Arnold for Muse Eek Publishing Inc.

The Trichord Pairs Series

Unlock a modern, fluid improvisational sound with this comprehensive three-book series on trichord pairs. Designed to help you break free from standard scales and predictable chord shapes, this step-by-step system shows you how to split six-note structures into powerful three-note groups (trichords) to create fresh melodic and harmonic substitutes. Across the series, you’ll master modes of the Major, Melodic Minor Ascending, Harmonic Major, and Harmonic Minor scales, along with three essential Symmetrical scales. By incorporating dynamic sweeps and cascading patterns, you’ll transform complex scale theory into a seamless, distinctive modern technique.
Book Scales Covered Combinations Price
Trichord Pairs Major (all 7 modes), Melodic Minor Ascending (all 7 modes) 70 total (28 + 42) $24.95
Trichord Pairs 2

Harmonic Minor, Harmonic Major, Whole-Half Diminished, Half-Whole
Diminished, Whole Tone
47 total (2 + 7 + 16 + 16 + 6) $24.95
Trichord Sequencing Major (all 7 modes), Melodic Minor (all 7 modes) 70 total (28 + 42) $24.95
SAVE $24.86

Get All Three — The Complete Trichord Pairs Bundle

All three books, 187 combinations across every scale family in the series —
Major, Melodic Minor, Harmonic Minor, Harmonic Major, and the three symmetric scales
— plus seven different practice-file formats across the series, from the Overview
and Sequence formats every book shares, to the Sweeps and Pair Sweeps unique to
Trichord Pairs 2, to the Six-Sweep and Cascade Sweep sequencing formats unique to
Trichord Sequencing.

$74.85 separately $49.99 bundled

Add
bundle to cart — $49.99




book 
cover for Trichord Pairs by Bruce Arnold for Muse Eek Publishing Inc.

Trichord Pairs (also known as Triad Pairs)

Status: In stock. Digital book, PDF, and MIDI practice files available
for immediate download.

Trichord Pairs — A Scientific Approach to
Melodic and Harmonic Mastery

This course covers a specific group of trichord pairs (also known as triad pairs) that
get used often when improvising. They are very useful as chords and melodic
replacements for the modes of major and melodic minor ascending. This course lists all
the possible 027-016 and 027-026 trichord pair combinations. What that means is you
have easy-to-play structures that will sound super modern but are also very harmonious
in any musical situation. These aren’t abstract strange sounds — they are core
structures used when playing a jazz standard or even rock, metal, and blues.

You also don’t need knowledge of pitch class sets or other special music theory
constructs. You just have a very useful sound laid out for you either as a scale, two triad
pairs, or awesome sequences that give you head-turning attention when you play them!
But if you do want to dig deeper there is an Appendix that covers in-depth the music
theory concepts found in this book. That material is from the Sonic Resource
Guide
, a go-to reference used often.

Why a whole step and fifth (027) matched against either a half step and a tritone
(016) or a whole step and tritone (026)? The 027 is often used as a fourth voicing, and
melodies moving in fourths or dominant chords are often voiced with an 016 or 026 in
the upper three notes. So these combinations play sounds that aren’t going to upset
more conservative musicians, but moving between them creates a pretty unique sound
that tends to land well with most listeners. These combinations are also not difficult to
play, voice-lead well, and are easier to get into your playing fast — as opposed to
012, 013, 014, and similar sets, which are awesome sounds but take a while to get used
to.

For as long as musicians have had scales, most reach for the same handful of them
over every mode of major and melodic minor — and the same handful of chords
underneath. Trichord Pairs identifies something more specific: the exact
combinations of a 027 trichord matched against a 026 or 016 trichord that sound
genuinely striking as replacements for that default vocabulary, worked out
independently for every mode of both scales, in every key.

Naming the harmony is the easy part. This book pairs that system
with the mental practice method, physical technique, and rhythmic tool you need to
actually get it into your ear and your hands — without the repetitive-strain grind
that ends so many promising technical projects.

What This System Gives You:

  • Every Valid Combination, Both Scales: All 28 valid 027-016
    combinations across the seven modes of major, and all 42 valid 027-026 combinations
    across the seven modes of melodic minor ascending — each independently
    verified, not just relabeled from mode to mode.
  • A Synopsis of the Mental Practice Method:
    Build a stable virtual instrument, fire the same motor pathways as live performance
    below the threshold of movement, and use the ten minutes before sleep to hardwire a
    combination into permanent memory.
  • Long Line Rhythm™ Applied Directly: The macro-pulse, anchor-point method that keeps an eighteen-bar sequence or
    a two-octave scale run from turning into a note-by-note grind. Read about the MetroDrone and Long Line Rhythm for more
    information.
  • Technique That Won’t Cost You Your Hands: The Home
    Base principle, forearm-driven mechanics, and the specific hand position that lets you
    practice this material for years without injury. See the Guitar Physiology
    and Technique Course
    for the full treatment with video.
  • Full PDF and MIDI Practice Files: Every combination,
    voiced eighteen ways, run through all twelve keys — plus a two-octave
    ascending-and-descending scale run for every combination, ready to read and to
    hear.

Table of Contents for Trichord Pairs:

  1. Front Matter: Acknowledgments, About the Author,
    Foreword, Preface: How to Use This Book.
  2. Chapter 1: Introduction — What Are Trichord Pairs?
  3. Chapter 2: Mental Practice
    • The Virtual Instrument: Building the Internal Map.
    • Sub-Threshold Motor Firing and the Both-Hands Rule.
    • Cognitive Endurance: Managing Mental Fatigue.
    • Aural Proofing: The Key Center Prerequisite.
    • The Pre-Sleep Routine and Neurological Consolidation.
  4. Chapter 3: Technique and Physiology
    • Home Base — The Core Principle.
    • Let the Big Muscles Do the Heavy Lifting.
    • The Middle Radius Constraint.
    • Left Hand Basics; Right Hand and Picking.
    • No Pain Is Gain.
  5. Chapter 4: Long Line Rhythm
    • Locating the Anchor Points.
    • Building Tiers.
    • Applying This to the Trichord Pair Material.
  6. Chapter 5: The Trichord Pairs System
    • Understanding the Trichords; How These Combinations Were
      Found.
    • Melodic Minor — 027-026 Combinations (All 7 Modes).
    • Major — 027-016 Combinations (All 7 Modes).
  7. Chapter 6: Practice Materials and Application
    • What’s Included with This Book.
    • How to Practice; Practicing as Chords.
    • Frequently Asked Questions.
  8. Chapter 7: Troubleshooting, Context, and Consistency
  9. Conclusion
  10. Appendix A: The Muse Eek Ear Training Curriculum
  11. Appendix B: Pitch Class Sets, Chord Tones, and Available
    Tensions

Examples of Exercises Found in Trichord Pairs

There are three types of files found in this course: hexatonic scales played
ascending and descending through 2 octaves, a simple listing of the trichord pairs in
every key center for quick lookup, and 18 permutations of each trichord pair through all
12 keys — with MIDI files for all of these exercises so you can check your
accuracy.

 

 

This first example shows a Lydian scale (minus the 7th) played two octaves
ascending and descending. Guitarists should play these scales in all 6 positions.

  • Example from Trichord Pairs book: Two_Octave_Hexatonic_Scale_Lydian.1
  • Slow Tempo:
  • Faster Tempo:

 

 

The example below shows the 4 trichord pairs using 027-016 that can be used for a
Locrian scale.

  • Trichord Pairs Book example: 
TrichordPairsLocrian.1
  • Trumpet Example:
  • Rock Guitar Example:

 

 

The example below shows a trichord sequencing pattern using a Phrygian scale. 18
different patterns are presented for every trichord pair combination!

  • Example from Trichord Pairs Book: 
PhrygianSequencing.1
  • Piano Example:
  • Rock Guitar Example:

 

 

ISBN: 978-1-59489-297-4



book cover for Trichord Pairs 2 for Muse Eek Publishing Inc.

Trichord Pairs 2 (Harmonic Minor, Harmonic Major & the Symmetric Scales)

Status: In stock. Digital book, PDF, and MIDI practice files available
for immediate download.

Trichord Pairs 2 — Harmonic Minor,
Harmonic Major, and the Symmetric Scales

Trichord Pairs covered major and melodic minor ascending —
the two scales where the 027-016 and 027-026 pairing system produces the richest set
of combinations, four to six per mode. Trichord Pairs 2 takes the same
method into different territory: harmonic minor, harmonic major, and the three symmetric
scales, where the underlying interval structure changes the math entirely.

Harmonic minor and harmonic major both contain an augmented second —
and that interval narrows the valid 027-026 pairing down to exactly one combination per
mode, rather than several. This book includes both of harmonic minor’s most commonly
used modes (the tonic harmonic minor sound, and the fifth mode’s Phrygian Dominant
— the classic altered-V7 sound), and all seven modes of harmonic major.

The symmetric scales — Whole-Half Diminished, Half-Whole Diminished,
and Whole Tone — work differently again. These scales repeat their own interval
pattern around the octave, so there’s no single 027 trichord anchoring every
combination the way there is in major or melodic minor. Instead, every combination in
this section pairs two 026 trichords against each other, and because the diminished
scales are eight notes rather than seven or six, there’s substantially more valid
combinations to work through — sixteen each for the two diminished scales, six
for whole tone, where every note of the scale is used with nothing left over.

Beyond the reference charts, this edition adds two new practice formats built for
taking a single trichord to the instrument. Sweeps takes each individual
trichord in the book through its three inversions, each swept up two octaves and back
down in a register built specifically to be playable on guitar. Pair Sweeps
links a combination’s two trichords into one continuous gesture — one trichord
sweeping up, the other sweeping back down — cycling through all three
inversions of both.

The complete mental practice, technique, and Long Line Rhythm system from
Trichord Pairs carries over unchanged — this book assumes you’re
either working through it alongside the original or have been through that material once
already.

What This System Gives You:

  • Harmonic Minor, Fully Covered: The tonic Harmonic Minor
    sound and the Phrygian Dominant (mode 5) — the two modes of harmonic minor
    musicians reach for most.
  • Harmonic Major, All 7 Modes: One verified 027-026
    combination per mode — the single valid pairing this scale’s own interval
    structure allows.
  • All Three Symmetric Scales: 16 combinations from WholeHalf Diminished, 16 from Half-Whole Diminished, and 6 from Whole Tone — 38
    combinations total from scales most trichord-pair material never touches.
  • Sweeps and Pair Sweeps: Every individual trichord in the
    book taken through its three inversions in a guitar-practical register, plus every
    combination linked into a continuous ascending-and-descending Pair Sweep.
  • The Same Complete Practice System: Mental practice,
    Home Base technique, and Long Line Rhythm, applied directly to this new material.
  • Full PDF and MIDI Practice Files: Five kinds of files
    — Overview, Sequence, Scale-Run, Sweep, and Pair Sweep — every
    combination voiced eighteen ways and run through all twelve keys.

Table of Contents for Trichord Pairs 2:

  1. Front Matter: Acknowledgments, About the Author,
    Foreword, Preface: How to Use This Book.
  2. Chapter 1: Introduction — What’s In This Volume.
  3. Chapter 2: Mental Practice (full method, as in
    Trichord Pairs)
  4. Chapter 3: Technique and Physiology (full method,
    as in Trichord Pairs)
  5. Chapter 4: Long Line Rhythm (full method, as in
    Trichord Pairs)
  6. Chapter 5: The Trichord Pairs System
    • Harmonic Minor — 027-026 Combinations (2 Modes).
    • Harmonic Major — 027-026 Combinations (All 7 Modes).
    • The Symmetric Scales — 026-026 Combinations.
    • Whole-Half Diminished — 16 Combinations.
    • Half-Whole Diminished — 16 Combinations.
    • Whole Tone — 6 Combinations.
  7. Chapter 6: Sweeps — Individual trichords, three
    inversions, two-octave sweeps in a guitar-practical register.
  8. Chapter 7: Pair Sweeps — Linking a combination’s
    two trichords into one continuous ascending-and-descending gesture.
  9. Chapter 8: Practice Materials and Application
  10. Chapter 9: Troubleshooting, Context, and Consistency
  11. Conclusion
  12. Appendix A: The Muse Eek Ear Training Curriculum
  13. Appendix B: Pitch Class Sets, Chord Tones, and Available
    Tensions
    — including a Trichord Usability Reference showing every chord
    each trichord shape can be played over.
  14. Harmonic and Melodic Equivalence Volume 11B is Included in this book a 19.99 value that gives indepth information on a Harmonic Major Scale Trichord

Examples of Exercises Found in Trichord Pairs 2

There are four types of exercise found in Trichord Pairs 2 Course. There are PDFs and MIDI files for all exercises. Below is a list of the exercise types:

1. Overview Exercises show you the all possible trichords for a given scale type.
2. Scale Run Exercises in all Harmonic Major, 2 modes of Harmonic Minor and 3 Symmetrical Scales.
3. Sweep Exercise in all Modes of Major, Melodic Minor Ascending, Harmonic Major, 2 modes of Harmonic Minor and 3 Symmetrical Scales Ascendig and Descending
4. Sweep Pairs Exercise shows you two trichords played ascending and descending.

This first example shows Overview Exercise for a Mixolydian b2b6 (5th Mode of Harmonic Minor) in All Keys

 

Overview Mixolydian b2b6 in All Keys:

 

 

This is the 2nd example shows Overview Exercise for a Symmetrical Diminished Scale (half step/whole step scale) in Key of C only.

 

HalfWholeDiminished_Overview-1 from Trichord Pairs 2 Course by Bruce Arnold for Muse Eek Publishing Inc.

Overview Example Symmetrical Diminished:

 

 

This example shows Scale Run Exercise using a Harmonic Major Scale in the Key of C only.

 

Scale Run Harmonic Major Scale:

 

 

This example shows Sweep Exercise using a Major Scale in All Keys

 

Sweep Pattern Major Scale All Keys:

 

 

This example shows Sweep Pairs Exercise using a Melodic Minor Scale in All Keys

Sweep Pairs Melodic Minor Scale All Keys:

 

 

ISBN: 978-1-59489-296-7



book cover for Trichord Sequencing for Muse Eek 
Publishing Inc.

Trichord Sequencing (Major and Melodic Minor, with Six-Sweep and
Cascade Sweep)

Status: In stock. Digital book, PDF, and MIDI practice files available
for immediate download.

Trichord Sequencing — The Major Scale and
Melodic Minor, with Six-Sweep and Cascade Sweep

Trichord Sequencing takes the same major and melodic minor material as
Trichord Pairs — all seven modes of each — and adds two
brand-new sequencing formats built specifically around linking a pair’s two trichords
into a single continuous line.

The harmonic groundwork is identical to Trichord Pairs: major keeps its
full seven-mode, twenty-eight combination treatment, and melodic minor keeps its own
full seven-mode treatment too — forty-two combinations, the same complete
dataset as Trichord Pairs, not a narrower root-form-only version.

What’s new here is Six-Sweep and Cascade Sweep
— two ways of linking a combination’s two trichords into one unbroken line. Six-
Sweep draws on all three inversions of both trichords — six sweeps in total
— and links them into a single, continuous, ever-climbing line that alternates
ascending and descending until every inversion of both trichords has been played.
Cascade Sweep takes a different approach: it merges a pair’s two trichords into the six-
note scale their combined pitches form, then walks up that scale a step at a time,
adding the next note of whichever trichord that scale degree belongs to as a second
note at every step.

Seventy combinations in total, all provided across all twelve keys, in four practice
file formats — and the same complete mental practice, technique, and Long Line
Rhythm system as the rest of the series.

What This System Gives You:

  • The Complete Major Scale System: All 28 valid 027-016
    combinations across all seven modes — identical to Trichord Pairs.
  • The Complete Melodic Minor System: All 42 valid 027-026
    combinations across all seven modes — identical to Trichord Pairs, not a
    narrower root-form-only treatment.
  • Six-Sweep: Every combination’s two trichords swept through
    all three inversions each, chained into one continuous, ever-climbing line —
    found only in this volume.
  • Cascade Sweep: Every combination’s two trichords woven
    together, one note at a time, into a single ascending-and-descending line —
    found only in this volume.
  • The Same Complete Practice System: Mental practice,
    Home Base technique, and Long Line Rhythm, unchanged from Trichord Pairs.
  • Full PDF and MIDI Practice Files: Four kinds of files
    — Overview, Sequence, Six-Sweep, and Cascade Sweep — all
    70 combinations, voiced across all 12 keys.

Table of Contents for Trichord Sequencing:

  1. Front Matter: Acknowledgments, About the Author,
    Foreword, Preface: How to Use This Book.
  2. Chapter 1: Introduction — What’s In This Volume.
  3. Chapter 2: Mental Practice (full method, as in
    Trichord Pairs)
  4. Chapter 3: Technique and Physiology (full method,
    as in Trichord Pairs)
  5. Chapter 4: Long Line Rhythm (full method, as in
    Trichord Pairs)
  6. Chapter 5: The Trichord Pairs System
    • Major — 027-016 Combinations (All 7 Modes).
    • Melodic Minor — 027-026 Combinations (All 7 Modes).
  7. Chapter 6: Six-Sweep — Linking all six inversions of
    a pair’s two trichords into one continuous, ever-climbing line.
  8. Chapter 7: Cascade Sweep — Weaving a pair’s two
    trichords together two notes at a time up their combined six-note scale.
  9. Chapter 8: Practice Materials and Application
  10. Chapter 9: Troubleshooting, Context, and Consistency
  11. Conclusion
  12. Appendix A: The Muse Eek Ear Training Curriculum
  13. Appendix B: Pitch Class Sets, Chord Tones, and Available
    Tensions

Examples of Exercises Found in Trichord Sequencing

There are four types of exercise found in Trichord Pairs Sequencing Course. There are PDFs and MIDI files for all exercises. Below is a list of the exercise types:

1. Overview Exercises in all Modes of Major, Melodic Minor Ascending, Harmonic Major, 2 modes of Harmonic Minor and 3 Symmetrical Scales.
2. Sequencing Exercises for all Modes of Major and Melodic Minor Ascending.
3. Extended Trichord Sweep Patterns which shows all six patterns in all modes of Major and Melodic Minor Ascending.
4. Cascade Sweep Patterns in all modes of Major and Melodic Minor Ascending.

This first example shows Overview Exercise for a Dorian in Key of C Only

 

Mode2_Dorian_Overview For Trichord Sequencing book by Bruce Arnold for Muse Eek Publishing Inc.

Overview Dorian Key of C Only:

 

 

Sequencing Exercise for a Major Scale in Key of C only.

 

Mode1_Ionian_(Major)_Pair1_1_2_5_-_3_4_7-1 For Trichord Sequencing book by Bruce Arnold for Muse Eek Publishing Inc.

Sequencing Exercise for a Major Scale:

 

 

Sweep Exercise using a Melodic Minor Ascending Scale in Key of C Only

 

Mode1_Melodic_Minor_Ascending_Pair2_1_2_5_-_b3_4_7_SixSweep-1 For Trichord Sequencing book by Bruce Arnold for Muse Eek Publishing Inc.

Sweep in Three Inversions:

 

 

This example shows Sweep Cascade Exercise using a C Dorian Scale Only

Mode2_Dorian_Pair1_1_2_5_-_b3_6_b7_CascadeSweep-1 For Trichord Sequencing book by Bruce Arnold for Muse Eek Publishing Inc.

Sweep Cascade Key Of C Dorian:

 

 

ISBN: 978-1-59489-298-1




Course Prerequisites & Recommendations:
You don’t need good ear training skills for any book in this series, but a foundation in
contextual, key-center-based hearing is highly recommended — Appendix A in
every book lays out the ear-training curriculum this material depends on. For optimum
results, work through the combinations alongside a key-center-producing device like the
MetroDrone® app.

Chapter 3 in every book gives you enough physical technique to
work safely through this material, but it isn’t a complete guitar method — pair it
with Guitar Technique and Physiology for the full treatment, and see The Sonic Resource Guide for the deepest treatment of pitch class set theory.

book cover for Trichord Sequencing for Muse Eek 
Publishing Inc.

SAVE $24.86

Still Deciding? Get All Three Together

$74.85 separately $49.99 bundled

Add
bundle to cart — $49.99

Frequently Asked Questions

There are a lot of technical exercises in this book. How do I make music out of them?

Trichord Pairs Series has a lot of technical exercises in it and my recommendation is to take each new technical idea and apply it to static chord progressions and then expand into whole chord progressions. I would also highly recommend writing song based on these technical patterns. That way you can see and hear them used in real music and get away from the technique side of things. Getting any new sound into your playing is a task. Be patient with this part of the work. It takes a long time for these ideas to become second nature to you but steady practicing and application to real music will get your there over time.

What’s the difference between the three books?

Trichord Pairs covers all seven modes of major and all
seven modes of melodic minor — the widest coverage of the two richest scales
for this system. Trichord Pairs 2 covers different territory entirely: harmonic
minor, harmonic major, and the three symmetric scales, plus two practice formats built
around a single trichord’s own inversions — Sweeps and Pair Sweeps, which draw
on trichords from across the whole series. Trichord Sequencing takes the
same major and melodic minor material as Trichord Pairs and works it into two
sequencing formats found nowhere else in the series, Six-Sweep and Cascade Sweep,
which link a pair’s two trichords into one continuous line rather than treating them as
separate practice units.

Do I need to buy them in order, or own Trichord Pairs before
the others?

No. Each book stands completely on its own and includes the full
mental practice, technique, and rhythm system in Chapters 2 through 4, so you don’t
need any of the other books to use any one of them. If you already own one and know
that method well, you can move through those chapters quickly in the others.

Is the bundle a one-time purchase or a subscription?

One-time purchase. The bundle unlocks all three digital books, along
with their full PDF and MIDI practice file sets, for immediate download — no
subscription or recurring charge.

What other books do you recommend using alongside this
series?

A few that pair naturally with the material in these books: Mental Practice for Musicians for a deeper treatment of the mental practice method used throughout, Guitar Technique and Physiology for the full hand-position and picking curriculum, The Sonic Resource Guide for the complete pitch class set theory behind each book’s Appendix B, and Ear Training One Note Complete and Contextual Ear Training to build the key-center hearing this whole system depends on.

What should I use to improvise over these combinations?

Get a looper if you can, and build loops using the two trichords as a
scale to solo over. If a looper isn’t an option, Jam Tracks Volume One, available on the Muse
Eek Publishing website, works well for this.

How much should I practice these trichord pairs each day?

As a starting point, spend about 30 minutes playing and memorizing a
single combination through one key. Then spend another 15 minutes improvising with
the scale, and with the chords if you play a chordal instrument. That’s a good baseline
— build up from there as it becomes comfortable.

Do I need to already know pitch class set theory to use these
books?

No. Appendix B in every book is a complete primer — prime
form, integer notation, and chord tones, tensions, and avoid notes worked out for every
common chord type — written for musicians with ordinary theory background and
no prior exposure to post-tonal thinking.

Any advice on how to make these examples actually sound
good?

Be very conscious of keeping the velocity even across each example
— very little change in loudness or attack from note to note. This isn’t easy to do
but will really help make them sound good. Chapter 7 in Trichord Pairs, and Chapter 9 in
Trichord Pairs 2 and Trichord Sequencing, cover this in more depth.

How do you recommend getting these sweeps and cascades into my
playing?

First I would highly recommend writing music that incorporates these
ideas and writing out solos to play over the music. Not that you want to verbatim play
the solos, but they will help you develop a style with these sounds and give you the
chops you need to execute these ideas in real time.

Could you point me to any examples of you using these sweeps
and cascades?

Yes, I would check out some of my latest recordings. The Cancelwood
Sessions is a good place to start, but I’ve been using these ideas for quite some time so
you will hear them every once and awhile in many recordings and live gigs. Check
youtube.com under my name for more examples.

Could you give me some idea on how to practice sweeps and
cascades?

I would start slow, because you can really hurt yourself if you do too
much too early in your development. If you are a guitarist, be very conscious of your
little finger on your fretting hand — that can get inflamed quite easily from the
stretches used in the sweeps and cascades.

Where is a good place to start with this book?

You can really start anywhere, but my recommendation is to work through each book in order that way you are slowly adding on more material and mastering parts of it as you go.”

A Proven Educational Lineage

The methods found on muse-eek.com are part of a historical musical
lineage
stretching back to the 18th-century masters.

By using Muse-Eek books and courses, you are now a part of this
lineage
—a tradition of excellence passing through legends like Charlie
Banacos and Jerry Bergonzi.

    • Historically Validated
    • University-Level Pedagogy
    • Professionally Proven

VIEW THE LINEAGE CHART

Still not sure where to start? Feel free to contact us for a personalized recommendation based on your goals.

© 2026 Muse Eek Publishing Inc. All
Rights Reserved | Dedicated to the pedagogical insights of Charlie Banacos.
]]>
Blues Outside The Box https://muse-eek.com/blues-outside-the-box/ Wed, 12 Aug 2026 12:14:46 +0000 https://muse-eek.com/?page_id=1430492 Continue reading →]]>  

 

book cover for Blues Outside the Box by [Author Name] for Muse Eek Publishing Inc.

Blues Outside the Box

Status: In stock. Digital book, PDF, and MIDI practice files available for immediate download.

Blues Outside the Box — A Trichord-Pair Approach to Superimposing the Blues Scale

Most improvisers meet the blues scale the same way: as one fixed six-note shape, dropped over a dominant chord and left there. Blues Outside the Box starts from a different question — if a six-note scale is really just two three-note cells stacked together, how many genuinely different ways can the blues scale be split? The answer is a clean, closed number: ten. Not a curated subset — every single way to divide its six notes into two trichords, worked out in full and verified against real chord tones and tensions rather than assumed by habit.

Naming the harmony is the easy part. This book pairs that system with a complete mental practice method, physical technique, and macro-pulse rhythmic approach — the same complete-system philosophy behind the trichord-pair approach to major and melodic minor — so the material actually gets into your ear and your hands instead of sitting on the page.

Blues Outside the Box also tackles a question most blues-scale material never addresses directly: the scale’s built-in run of three consecutive half steps. This book shows you exactly when that run should be heard as a chromatic approach-note pattern — the same device bebop scales are built around — rather than three notes each needing to individually justify itself against the chord underneath.

10Trichord pairs — every possible split of the blues scale, no leftover note
4Practice file types — Overview, Sequencing, Scale-Run, and Exercise files
12Keys — every combination fully transposed and ready to read and hear
8Chord types checked note-for-note against every blues transposition

What This System Gives You:

  • Every Valid Combination — All Ten: Because the blues scale has no leftover note, this isn’t a curated selection — it’s the complete, closed set of every way to split its six notes into two trichords, each with its own contour and color.
  • A Full Superimposition Analysis: A working appendix checks all twelve transpositions of the blues scale against the chord tones and available tensions of eight common chord types — CMaj7, Cm7, C7, Cm7b5, C7sus4, C-Maj7, Cdim7, and CMaj7#5 — so you know exactly which key to borrow from, and exactly which single note to treat as a passing tone when you don’t get a perfect fit.
  • The Chromatic-Run Reframe: A clear, practical explanation of why the blues scale’s built-in half-step run is an approach-note pattern rather than a liability, with the bebop-scale connection that makes the idea click.
  • A Complete Mental Practice Method: Build a stable virtual instrument, fire the same motor pathways as live performance below the threshold of movement, and use the minutes before sleep to hardwire a combination into permanent memory.
  • Macro-Pulse Rhythm Applied Directly: The anchor-point method that keeps an eighteen-bar sequence, a twenty-four-bar exercise line, or a two-octave scale run from turning into a note-by-note grind.
  • Technique That Won’t Cost You Your Hands: A resting reference position, forearm-driven mechanics, and the specific hand position that lets you practice this material for years without injury.
  • Full PDF and MIDI Practice Files: All ten combinations run through all twelve keys, in four different formats — ready to read and to hear.
What’s different from a standard blues-scale resource: most blues-scale material gives you one shape and a handful of licks. This book gives you the complete, closed set of every way that shape can be split into two smaller melodic cells, plus the exact chord-by-chord, key-by-key data on where each transposition actually belongs — not general advice, but a checked-and-verified reference you can act on immediately.

Table of Contents for Blues Outside the Box:

  1. Front Matter: Acknowledgments, About the Author, Foreword, Preface: How to Use This Book.
  2. Chapter 1: Introduction — What Is Blues Outside the Box?
  3. Chapter 2: Mental Practice
    • Building an Internal Map of the Instrument.
    • Engaging Both Hands, Not Just Your Inner Ear.
    • Working Within Your Mental Fatigue Limit.
    • Hearing Before You Practice: The Key-Center Test.
    • Practicing in the Minutes Before Sleep.
  4. Chapter 3: Technique and Physiology
    • A Resting Reference Position.
    • Let the Larger Muscles Do the Work.
    • Staying Within a Comfortable Range of Motion.
    • Fretting-Hand and Picking-Hand Basics.
    • Stop at the First Sign of Pain.
  5. Chapter 4: Macro-Pulse Rhythm
    • Finding Anchor Points.
    • Building Tiers.
    • Applying This to the Blues Outside the Box Material.
  6. Chapter 5: The Blues Outside the Box System
    • Why the Blues Scale Is Different.
    • The Ten Trichord Pairs.
    • The Chromatic Run: An Approach-Note Pattern, Not a Liability.
    • Bebop Scales: The Same Idea, Built Into the Parent Scale.
  7. Chapter 6: Practice Materials and Application
    • What’s Included: Four File Types.
    • How to Practice; Practicing as Chords.
    • Frequently Asked Questions.
  8. Chapter 7: Troubleshooting, Context, and Consistency
    • Common Pitfalls in Mental Practice.
    • Understanding Context.
    • Consistent Note Production.
  9. Conclusion
  10. Appendix A: Contextual Ear Training
  11. Appendix B: Pitch Class Sets, Chord Tones, and the Blues Scale Superimposition Analysis
  12. Appendix C: Original Compositions using Blues scale divided in Trichord Pairs

Superimposing the Blues

Really the core of this course is superimposing the blues scale in various ways. One being the use of trichord pairs (triad pairs) to split the blues scale in half and the other is using the blues scale and superimposing it over other key centers.

Advanced Blues Scale

You could think of the melodies found in this course more like SRV meets John Scofield or Mike Stern for tea. Also reminds me Robbin Fords playing. All these great players were pushing the limits and you can too with the melodies contained in this course.

Examples of Exercises Found in Blues Outside The Box

There are four types of files found in the Blues Outside The Box

  • Blues Scale Runs
  • Simple List of 10 Trichords Pairs in All Keys
  • Blues Trichord Pair Exercises
  • Trichord Sequencing for Blues Scale
  • Other Exercises found in Harmonic and Melodic Equivalence 21A Course. The whole course is included in this course.

Rather than show you PDFs of the exercises I thought it might be of more value to hear what these exercises sound like in real music. This first example you can hear three of type of exercises presented found in this course. You will hear these lines played by guitar over a bass vamp. I highly recommend you permutate the rhythm within these examples when you add them to your vocabulary.

The 2nd example let’s you hear what all 12 blues scales sound like over an F bass vamp. I only give you the first page of the example because it’s quite long. I think you can hear from this example that blues scales in any key can work over a one key vamp. By using some of the additional techniques recommended in the book. i.e. Approach Notes in particular allows you to resolve the melodies in awesome ways.

Course Prerequisites & Recommendations:
You don’t need a strong understanding of contextual ear training to start this course, but a foundation in contextual, key-center-based hearing is highly recommended — Appendix A lays out the ear-training approach this book depends on. For optimum results, work through the combinations in Chapter 5 alongside a key-center-producing drone tool. Chapter 3 gives you enough physical technique to work safely through this material, but it isn’t a complete method — pair it with Guitar Technique and Physiology for the full treatment, and see The Sonic Resource Guide for the deepest treatment of pitch class set theory. If you already own Trichord Pairs, this book stands on its own but shares the same underlying practice method, so the two reinforce each other directly.

ISBN: 978-1-59489-299-8

Status: In stock. Digital book available for immediate download.

Frequently Asked Questions

Do I need to already own Trichord Pairs to use this book?

No. Blues Outside the Box is a complete, standalone system built specifically around the blues scale. It uses the same mental practice, technique, and rhythm approach as Trichord Pairs, so if you already know that method, Chapters 2 through 4 will feel familiar — but nothing in this book assumes you own or have read the other title.

What other books do you recommend using alongside this one?

Guitar Technique and Physiology for the full hand-position and picking curriculum, The Sonic Resource Guide for the complete pitch class set theory behind Appendix B, and Ear Training One Note Complete and Contextual Ear Training to build the key-center hearing this whole system depends on.

What should I use to improvise over these combinations?

Get a looper if you can, and build loops using one of the ten trichord pairs as a scale to solo over. If a looper isn’t an option, Jam Tracks Volume One, available on the Muse Eek Publishing website, works well for this — the pairs in Chapter 5 sit especially naturally over static or slow-moving dominant vamps.

How much should I practice these trichord pairs each day?

As a starting point, spend about 30 minutes playing and memorizing a single pair through one key. Then spend another 15 minutes improvising with it — melodically, and with the chords if you play a chordal instrument. That’s a good baseline — build up from there as it becomes comfortable.

Do I need to know pitch class set theory to use this book?

No. Appendix B is a complete primer — prime form, integer notation, and a full chord-tone-and-tension breakdown for eight common chord types — written for musicians with ordinary theory background and no prior exposure to post-tonal thinking.

How is the superimposition analysis in Appendix B actually useful in practice?

It tells you, chord by chord, exactly which key’s blues scale sits entirely inside that chord’s tones and tensions (four such matches exist), and for every chord where no perfect match exists, exactly which single note is the outlier — almost always the b5 — so you know precisely what to treat as a passing tone rather than guessing.

Any advice on how to make these examples actually sound good?

Be very conscious of keeping the velocity even across each example — very little change in loudness or attack from note to note. This isn’t easy to do but will really help make them sound good. Chapter 7 covers this in more depth.

A Proven Educational Lineage

The methods found on muse-eek.com are part of a historical musical lineage stretching back to the 18th-century masters.

By using Muse-Eek books and courses, you are now a part of this lineage—a tradition of excellence passing through legends like Charlie Banacos and Jerry Bergonzi.

    • Historically Validated
    • University-Level Pedagogy
    • Professionally Proven

VIEW THE LINEAGE CHART

Still not sure where to start? Feel free to contact us for a personalized recommendation based on your goals.

© 2026 Muse Eek Publishing Inc. All Rights Reserved | Dedicated to the pedagogical insights of Charlie Banacos.
]]>
Mental Practice for Musicians https://muse-eek.com/mental-practice-for-musicians/ Tue, 28 Jul 2026 13:51:33 +0000 https://muse-eek.com/?page_id=1430277 Continue reading →]]>  

 

book cover for Mental-Practice for Musicians by Bruce Arnold for Muse Eek Publishing Inc.

Mental Practice for Musicians

Status: In stock. Digital book and automated asset blocks available for immediate download.

Mental Practice — The Ultimate Operational Manual for Mind-Only Rehearsal

For decades, the dominant music pedagogy has pushed a destructive myth: that mastery requires physical suffering. Musicians lock themselves away for six to eight hours a day, mindlessly repeating scales until their joints inflame. This high-tension physical grinding causes an unspoken epidemic of career-ending repetitive stress injuries.

Your instrument is completely incapable of initiating music on its own. It is a passive interface. It can only execute the precise neurological blueprints sent to it by your brain. If the blueprint in your mind is fuzzy, hesitant, or rooted in straining, your live performance will replicate that chaos.

Mental Practice shifts the bulk of your technical development straight into your mind. By firing your exact motor paths below the threshold of physical movement, you completely eliminate physical wear and tear. This is a highly disciplined, systematic program designed to clean your internal blueprints of all hesitation, allowing your hands and feet to execute music with absolute lightness and ease.

What This Systematic Mental Practice Accomplishes:

  • Builds the Virtual Instrument: Clear instructions to stabilize a blurry internal canvas into a razor-sharp, hyper-realistic internal map of your specific instrument geometry.
  • Activates Sub-Threshold Motor Firing: Teaches you to seamlessly coordinate the mechanics of both hands simultaneously using micro-gestures beneath the threshold of physical muscle contraction.
  • Leverages the Sleep Consolidation Window: Explains how to use strategic 10-to-15 minute pre-sleep rehearsal sessions to force your brain to hardwire complex phrases into long-term memory overnight.
  • Integrates Essential Prerequisite Filters: Seamlessly combines your mental workouts with Bruce Arnold’s signature Long Line Rhythm™ macro-pulse feel and core laws of musculoskeletal instrument physiology.
  • NEW – 4-Limb Drum Set Framework: A dedicated technical module built specifically to help percussionists map four-way coordination and independence entirely in the mind without a drum kit present.

Table of Contents for Mental Practice for Musicians:

  1. Introduction: The Alternative to the Grind & The Epidemic of Repetitive Stress Injuries.
  2. Chapter 1: The Mechanics of the Mental Engine
    • The Virtual Instrument: Building the Internal Map.
    • Sub-Threshold Motor Firing and Hand Synchronization (The Both-Hands Rule).
    • The Execution Sequence: Fingerings First, Rhythm Second.
    • Cognitive Endurance: Managing Mental Fatigue (The 15-Minute Ceiling).
    • Aural Proofing: The Key Center Prerequisite.
  3. Chapter 2: The Pre-Sleep Routine and Neurological Consolidation
    • The Overnight Optimization Window & REM Memory Replay.
    • Navigating the Sleep Barrier: Treating Insomnia with Focus.
    • Step-by-Step Pre-Sleep Execution Guide.
    • The 7-Day Mental Experiment: Visualizing Speed.
  4. Chapter 3: The Supporting Pillars – Rhythm Feel and Instrument Physiology
    • Pillar I: Long Line Rhythm™ – Feeling Macro Pulses vs. Counting Micro Notes.
    • The Law of Anchor Points (9-Beat & 17-Beat Trajectories).
    • Pillar II: Universal Instrument Physiology (The Home Base Technique).
    • The Forearm Law & The Middle Radius Constraint (Straight Wrist Axis).
  5. Chapter 4: Troubleshooting, Real-World Application, and Conclusion
    • Resolving the “Ghost Note” Phenomenon & Micro-Movement Freezing.
    • Moving from the Bedroom to the Bandstand: Jam Tracks & Applied Improvisation.
    • The Waking & Bedtime Daily Framework Blueprint.
  6. Chapter 5: The Invisible Filter: Understanding Context
    • The Acoustics Matrix and Sound System Interfacing.
    • The Psychological Shift: Stop Blaming Yourself.
  7. Chapter 6: The Velocity Killer
    • Consistent Note Production.
    • The Professional Approach.
  8. Appendix I: The Muse Eek Ear Training Curriculum Matrix
  9. Appendix II: Mental Practicing for the Drum Set (Four-Way Coordination Mapping)

Course Prerequisites & Recommendations:
While you do not need perfect pitch or a flawless ear to start, a solid foundation in contextual hearing is highly recommended. For optimum results, this text should be used alongside a key-center producing device like the MetroDrone® app or Long Line Rhythm, and matched with the basic aural skills found in Ear Training One Note Complete and Contextual Ear Training.

ISBN: 978-1-59489-399-5

Status: In stock. Digital book available for immediate download.

Frequently Asked Questions

What Books do you recommend that I use with this mental practice book?

There are a lot of different books you could use here is a sampling:

Basically any book that has a lot of technical exercises in it. But really you can use this for any aspect of playing music. Memorizing lyrics, stepping through a sequence of guitar pedals, dance steps literally anything!

Is there any correspondence between how much you practice mentally and physically?

Mental practice is exponentially more effective than physical practice so 10 minutes of mental practice is like an hour of physical practice when done correctly.

I read somewhere that you use to do mental practice as you walked between classes at Berklee?

Yes i certainly did and walking is great especially if you do the exercises in your head to the rhythm of your walking pace. Not something you will be able to do right away but getting your mind to work with a physical rhythm that your body is doing is very good. That’s why drummers have such good rhythm skills!

I’m a beginner at guitar. How can I use mental practicing?

well most likely you won’t be able to do the rhythm side of mental practicing for awhile. But if you are learning a scale or a chord imagine what those notes look like on the guitar will greatly improve your progress!

Can mental practice work for anything not just music?

There was a famous Russian study where they had a group of people shoot free throw baskets with a basketball and then another group that laid down at the free throw line and imagined throwing free throw baskets. The people that laid down and imagined did far better when both groups where tested. Yes mental practicing works for anything you want to learn!

You say in the book that it will take time to master the mental practicing. In your experience how long does it take?

Students notice their ability improves in about a week but to get so you are really productive would be about a month of doing it everyday. As you can see from the book there are many other aspects like ear training, rhythm skills that go along with this so if you are deficient in these areas it could take longer.

Greatly appreciate your section in this book on “Context.” I’ve have beaten myself up for years for some of the things that are just context. I actually feel a lot of relief and wish I would have had this book years ago.

Charlie Banacos use to say that learning to play an instrument is like doing 10 years of psycho therapy :). Many problems we hide and don’t reach out to find answers. I’m glad some of the content of this book has helped you. I was lucky to have great teachers as I developed. Of course, wish I would have had them when I was a kid but better late than never!

A Proven Educational Lineage

The methods found on muse-eek.com are part of a historical musical lineage stretching back to the 18th-century masters.

By using Muse-Eek books and courses, you are now a part of this lineage—a tradition of excellence passing through legends like Charlie Banacos and Jerry Bergonzi.

    • Historically Validated
    • University-Level Pedagogy
    • Professionally Proven

VIEW THE LINEAGE CHART

Still not sure where to start? Feel free to contact us for a personalized recommendation based on your goals.

© 2026 Muse Eek Publishing Inc. All Rights Reserved | Dedicated to the pedagogical insights of Charlie Banacos.

Below is a link to my Blog where you can find out more information about this course and other courses:

Bruce Arnold's BlogRead more at Bruce Arnold’s Blog.

]]>
Speed Demon https://muse-eek.com/speed-demon/ Fri, 24 Jul 2026 18:39:08 +0000 https://muse-eek.com/?page_id=1430191 Continue reading →]]> Speed Demon: Music Patterns for Extreme Technique | Muse Eek Publishing




Book cover for Speed Demon: Music Patterns for Extreme Technique by Bruce Arnold for muse-eek.com

Speed Demon: Music Patterns for Extreme Technique

Status: In stock. Digital book and automated asset blocks available for immediate download.

Speed Demon — Forming New Playing Patterns and Unlocking Intervallic Logic

For years, contemporary instrumentalists have been trapped by visual geometry. Fingers default to the same predictable scale boxes, familiar arpeggio grips, and step-wise linear runs that look neat on the instrument but sound completely uninspired to the listener. Speed Demon changes that by introducing a rigorous, non-linear mathematical permutation system heavily inspired by the legendary jazz educator Charlie Banacos.

By anchoring an unwavering pivot root note (“1”) and relentlessly scrambling the surrounding scale degrees through wide, angular jumps and directional waves, the visual illusions of your instrument dissolve. This course systematically uncovers your technical blind spots and replaces them with an iron-clad, physical map under your fingers.

Seven Levels of Advanced Harmonic and Structural Density

This course spans seven distinct structural layers, systematically pushing your technique through increasing levels of complexity:

  • Level 1: Diatonic Major Core. Grounds your technique inside the universal major scale template, establishing the initial physical grid.
  • Level 2: Melodic Minor Shift. Lowers the 3rd scale step to compress your layout and expand modern jazz options over altered dominants.
  • Level 3: Augmented Second Stretch. Navigates the wide, irregular three-semitone gap of the Harmonic Minor scale at blistering tempos.
  • Level 4: Hybrid Dark Layer. Blends a bright major triad with a dark minor sixth, challenging your muscle-memory adaptability.
  • Level 5: Octatonic Interlock. Symmetrical eight-tone diminished layout that completely shifts traditional numbered scale-degree index assumptions.
  • Level 6: Floating Grid. Symmetrical six-tone Whole Tone profiles that eliminate perfect fourths and fifths, creating smooth, anchorless terrain.
  • Level 7: Blues Grid – Another six note scale with incredible potential because it is based by key not by chord.

The Banacos Legacy: Built-In 3-Note Pickups

True to the pedagogical philosophy of Charlie Banacos, these exercises are built for metric flexibility and real-world improvisation. Every key signature utilizes an intentional 3-note pickup structure (consisting of an eighth-note rest followed by the last three notes of the pattern) leading directly into the core pattern. This layout forces you to navigate off-beat phrasing, maintain rock-solid rhythm, and accent smoothly across the bar line at high velocities.

How to Use This Course

The practice routine demands absolute cognitive engagement. Dedicate 15 minutes, twice a day, to these exercises. This tightly focused 30 minutes is enough to make profound progress without physical burnout. Work through every pattern across all 12 keys following the strict Circle of 5ths order, training your ears to achieve perfect key retention against the unwavering root anchor.

Example of a Blues Scale in Bb

This example uses a Bb Blues scale and repeats the 2nd measure four times. There are midifiles included that play the 2nd measure 2X or just the single 2 measure one time. This gives you a lot of flexibility. Because you can use a DAW such as Garage Band you can change the type of instrument playing the midi file and also the feel. i.e. making it a swing or straight eighth rhythm.

Keep in mind this is one page of 6 because the sequence is started on all notes of the scale. This gives you a massive amount of examples to get your blues chops screaming fast! If your reading skills are not great memorize the pattern A-M. Start slow, there are midi files so you can control the tempo at all times.

Curated PDF Workbooks & Companion MIDI Files Included

Every single level section features autonomous code infrastructure output assets:

  • Pristine Portrait PDFs: Tightly formatted vertical workbook sheets presenting exactly four measures of 2/4 per line (two keys side-by-side) with a professional “4x” or “2x” loop bracket around the core pattern.
  • Native Unfolded MIDI Files: Standard MIDI files (`.mid`) that programmatically unfold the repeat loops, yielding an exact 4x or 2x tracking sequence for every single key center.
  • Centered Publishing Footers: Every printable page includes centered publishing notation metadata matching standard library editions.

Table of Contents:

  • Foreword: The Banacos Legacy of Permutation
  • Preface: Breaking the Fret board Box
  • Introduction: What is a Speed Demon?
  • The Critical Prerequisite: Knowing Your Scales Inward and Out
  • The Practice Routine: Metronome and Improvisational Challenges
  • Level 1 to Level 6 Course Workbooks
  • Frequently Asked Questions

Contents of This Course:

  • Speed Demon Complete Method PDF (Portrait, letter-size)
  • MIDI files for all exercise permutations. 4X or 2X and single files.

Additional Content:

ISBN: 978-1-59489-294-3

Status: In stock. Digital book available for immediate download.


Frequently Asked Questions

I picked up your speed demon course. I am wondering about daily practice routine. I would think to be systematic and cover the entire instrument for phase 1:

  • 1. play through the exercise at a slow tempo with a drone and play along with the midi file. start with ionian. work out the fingerings and picking. Find gaps and problems and fix those in isolation.
  • 2. cycle through the 7 3NPS positions
  • 3. cycle through the 7 modes of the current key
  • 4. cycle keys

Do I have this correct?

Yes that seems like a good approach. I didn’t mention in the book that articulation can also be applied. Like hammer ons, pulloffs or slides on a guitar or tonguing on a wind instrument etc. That said, many people that play fast have very little articulation unless it allows them to play the line faster. Blues guitarists commonly have hammer ons, pulloffs or slides to make a line easier to play.

So take that into consideration but overall start slow figure out how you want to play the line then start speeding it up. One thing you will probably find is as you speed up some of the ways you play something might not work so you will have to adjust along the way

Your productivity always amazes me! Do you think that this course would work well for bass too?

Yes I think it is important for bass players to read treble clef because if you are asked to play the melody to a piece of music it is often given to you in treble clef. I was thinking about making a bass clef version but just short on time right now. If you get the treble clef version I’ll send you the bass clef for free once I make it and of course that is “IF” I make it. Can’t promise right now :)

Why does this course engrave a repeat sign starting at the second bar instead of the first?

This mirrors Charlie Banacos’ exact layout rules. The first measure functions as a 3-note pickup to establish the tempo and physical trajectory off the downbeat. The second measure contains the core four-note speed demon pattern, which repeats exactly 4 times before the double-sided repeat signs move your hands to the next key signature along the wheel.

I don’t know if I have two 15 minutes slots everyday to practice Speed Demon. Do you have any recommendations for someone in my situation?

One of the best things you can do is use my Mental Practice Course. Charlie Banacos always told me to do as much mental practice as I can. You don’t need your instrument you just need to imagine the instrument in your mind and in this case practice the melodies but Mental Practicing can be used for pretty much anything.

So check out the Mental Practicing for Musicians Book, but remember, like anything you practice, it takes time to get good at it. You should find within a week or so you will see progress. I often give this idea to my students where I’d give them a hard melody and have them go home for a week and practice it, but only in their head. Then when they came for their next lesson I’d had them play it for the first time on their instrument. Many reported that they could play the melody faster than anything they had ever played and they could recall it weeks later so it was deeply embedded. Mental practicing is powerful stuff and all the great musicians I know do it everyday!!

I’m a beginner. Can I dive straight into Level 5 Symmetrical Diminished or Level 6 Whole Tone?

It is highly recommended that you master the levels in sequential order. Symmetrical layouts completely alter your finger placement choices because they break away from traditional seven-note major scale spacing. Level 1 Major and Level 2 Melodic Minor build the foundational muscle memory and relative pitch strength required to navigate those advanced grids safely. That said, if you are a more advanced player or let’s say just a blues player and that is all you want to play then by all means jump right to what interests you the most or fits into your style.

Why are there no audio mp3 play-alongs included in this version of the book?

By providing high-fidelity, unfolded Type-1 standard MIDI files instead of static audio tracks, you gain total freedom. You can import these custom MIDI patterns directly into any DAW or software sampler (like Kontakt) to instantly pick your own favorite instrument sounds, apply custom swing adjustments, and scale the playback speed to any tempo that fits your immediate practice needs. I should also mention there are a ton of midi to mp3 conversion programs out there so if you prefer an mp3 then they are pretty easy to make. Just remember it will be at one tempo only so you would have to make multiple mp3s to slowly speed up the lines.

Does this book include guitar tablature staves underneath the standard music notation?

No. This course is strictly note and interval-agnostic, using clean treble-clef notation to ensure it functions perfectly for guitarists, pianists, saxophonists, and violinists alike. Removing specific instrument finger-shapes forces you to learn the actual layout of the pitches across your entire instrument, effectively shattering your reliance on visual geometric box patterns. That said, I certainly can understand if you seldom have to sight read on the guitar you will have difficulty getting started with this course. I would still recommend you get the course and take time to figure out and memorize each melody. They are short so it should take too long to get it into your memory. Then start using the 4x midi files and build from there. It will work it just takes a little extra time for you to memorize each melodic line

I’m not sure I understand if you just practice the written parts with metrodrone and gradually speed the exercises up or do you always play with the midi file and speed that up. Also does matter what strings sets you plays on or is ok to play them in random positions the neck, ex. Around 3rd fret area etc. ?

You could approach this in multiple ways:

  • 1. Use only a Metrodrone and speed up the exercise over time
  • 2. Use the midi file and speed that up over time. This is good because it helps you hear if you are making a mistake.
  • 3. For a guitarist there will obviously be many places to play the exercise. I would pick just one and speed that up then move to another position over time.
  • 4. For guitarists I wouldn’t pick a position that is very low on the neck because it is more common to play in higher positions when soloing.
  • 5. Try to play through the entire exercise as a goal.
  • 6. Use the Mental Practice course so that you can also do this in your mind.

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    © 2026 Muse Eek Publishing Inc. All Rights Reserved | Dedicated to the pedagogical insights of Charlie Banacos.

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    Hexatonic-and-Trichord-resource-guide

    Hexatonic and Trichord Resource Guide Index

    Click any title below to jump directly to that course deep-dive.

    Beginning Methods (0 Theory)

    Theory & Reference

    Improvisational Studies

    Technique

    Guitar Studies

    Ear Training

    Composing

    Hextonic and Trichord Resource Guide by Bruce Arnold for Muse-eek.com

    Hexatonic and Trichord Resource Guide

    The Comprehensive Guide to Modern Melodic and Harmonic Mastery

    Welcome to the Hexatonic and Trichord Resource Guide, your definitive portal for mastering the “New Path” to modern improvisation. Whether you are diving deep into pitch class set theory or looking for specialized trichord ear training, this page organizes over 30 years of pedagogy into a clear, actionable roadmap.

    For a deep dive into the underlying theory, please refer to our pillar resources:
    Hexatonic and Pitch Class Set Improvisation | Hexatonics Scales the Complete Guide

    Beginning Methods

    Modern sound doesn’t have to be complicated. These courses are designed for musicians who want to start using exotic colors and contemporary textures immediately, with zero prior knowledge of Pitch Class Set theory required.

    Chord Voicings MP3 Samples Included Midi Files Included

    Applying Chord Voicings to Traditional Harmony

    Applying Chord Voicings to Traditional Harmony

    Applying Chord Voicings to Traditional Harmony

    “Applying Pitch Class Set Chord Voicings to Traditional Harmony” provides a student interested in modernizing their chord playing with four pitch class sets that effective create a new and intriguing sound for playing traditional harmony. Common jazz standards are used to give you a fresh new sound. These voicings of course could be applied to any idiom.

    Course Highlights:

    • Examples of using these pitch class set is shown through common chord progressions.
    • A Direct Application Course spending most of the time directly apply these pitch class set chords.
    • Common re-harmonization principles have been avoided so the student will find this to be a quick method in applying pitch class sets to traditional harmony
    • With marginal practice should find with that their ability to complete this book will only take a few months.

    Midi Files Included MP3 Jam Tracks Included For Piano or Guitar

    Applying 013 Chord Voicings

    Applying 013 Chord Voicings-Application of pitch class sets to traditional harmony by Bruce Arnold for Muse Eek Publishing Company Applying Pitch Class Set Chord Voicings

    Applying 013 Chord Voicings

    Applying 013 Chord Voicings bridges the gap between abstract pitch class sets and practical performance. Through 12 comprehensive études (one in every key), this course demonstrates how to apply 013 voicings to the standard II7–V7–I-7–VI7 progression. Perfect for guitarists, pianists, and composers, these lessons focus on sophisticated voice leading and re-harmonization techniques to create smooth, modern movement within traditional harmonic frameworks.

    Course Highlights:

    • Real-World Application: Master 12 detailed études (one in every key) that apply 013 voicings to the essential II-V-I-VI progression, bridging the gap between theory and performance.
    • Expert Voice Leading & Re-harmonization: Overcome the “013 challenge” with clear examples of smooth voice leading and modern tension combinations that sound professional, not just dissonant.
    • Instrument-Specific Tools: Includes specialized charts with guitar chord diagrams for easy fretting and grand staff notation for pianists, ensuring playability regardless of your primary instrument.
    • Complete Practice Suite: Train with versatile audio assets, including MIDI files for tempo adjustment and MP3s featuring bass and cymbal accompaniment for a full ensemble feel.

    Theory & Reference

    The architecture of the method. These resources provide the mathematical and structural maps for all 924 hexatonic scales and their internal trichord relationships, serving as the definitive reference for the modern improviser.

    Lists All Possible Scales Table to Find Any Scale Chord and Scale Application

    Sonic Resource Guide

    “The Sonic Resource Guide is the definitive roadmap for modern improvisation, distilling all possible pitch combinations into 220 manageable scales. This essential reference empowers musicians to derive every possible chord from any scale and master “outside” playing through advanced concepts like symmetric differences and subset groupings. Whether you are seeking new structural approaches or looking to enrich your harmonic vocabulary, this guide provides the deep technical insights needed to transform your improvisational voice.

    Course Highlights:

    • Comprehensive Scale Encyclopedia: Master all 220 possible pitch class combinations, each detailed with note names, prime forms, scale degrees, and related jazz chords for every key.
    • Advanced Improvisational Tools: Unlock “hidden” relationships within scales, including 3 and 4-note subsets and “Symmetric Difference” sets for sophisticated outside playing.
    • Bridges Theory and Performance: Translates complex mathematical set theory into user-friendly musical concepts, perfect for Jazz, Progressive Rock, and Contemporary Classical musicians.
    • Dynamic Compositional Resource: Easily create and analyze new scales on the fly using the included simplified set list index, allowing for a truly unique and varied harmonic palette.

    All Possible Chords 012 Jam Tracks and Études Chord and Scale Application

    Ultimate 3 Note Chord Lexicon Volume One “012”

    Ultimate 3 Note Chord Lexicon: Volume One, 012

    Ultimate 3 Note Chord Lexicon Volume One “012”

    The Ultimate 3 Note Chord Lexicon series moves beyond traditional chords built in 3rds to explore all 11 alternative ways to construct 3-note structures. These compact voicings are incredibly versatile, offering more substitution possibilities than larger chords across any musical style. Each volume provides specialized piano and guitar voicings, practical application charts, and études to help you master these modern sounds. (Note: Guitarists are encouraged to pair this with our Guitar Technique and Physiology course for optimal execution.)

    Course Highlights:

    • Genre-Defying Études: Master “012” pitch class sets through diverse musical styles, including Funk, Swing, and Shuffle, to see how these modern sounds work in any groove.
    • Multi-Tempo Training: Every exercise includes three progressively faster MP3s and MIDI files, allowing you to develop fluency from a slow crawl to high-speed musicality.
    • Comprehensive Ear Training: Use the included rhythm section tracks to ingrain new sounds into your “inner ear” through sight-singing, transcription, and focused listening.
    • Flexible Study Tools: Includes 12-key chord cycles for piano and guitar, bass charts for most exercises, and count-offs that establish a clear key center for every practice session.

    All Possible Chords 013 Jam Tracks and Études Chord and Scale Application

    Ultimate 3 Note Chord Lexicon Volume Two “013″

    Ultimate 3 Note Chord Lexicon: Volume Two "013"

    Ultimate 3 Note Chord Lexicon Volume Two “013″

    Volume Two: The 013 Chord Lexicon is an essential resource focusing on what is arguably the most versatile structure in modern music. Historically significant and used extensively by John Coltrane, the 013 pitch class set can replace any chord type, functioning as both a consonant and dissonant texture depending on its voicing. Because it is found within Major, Melodic Minor, Harmonic Minor, and Diminished scales, the 013 is an easy-to-play yet powerful substitution tool for every improviser.

    Course Highlights:

    • 18 Powerful Modal Frameworks: Master advanced chromatic combinations (like 027-016 and 026-026) to add modern, sophisticated “color” to any song or progression.
    • The Ultimate Chord Substitute: Learn how the “013” can replace nearly any chord type, serving as a powerful tool to modernize “tired” progressions like the I-vi-ii-V turnaround.
    • Seamless Scale Integration: Discover how to use 013s as natural substitutions for Major, Melodic Minor, and Symmetrical Diminished scales to create sophisticated, Coltrane-inspired textures.
    • Diverse Practice Études: Master seven sets of musical études covering everything from Funk to Symmetrical Diminished dominant harmony, all with included bass charts and transposition options.
    • Complete Audio Mastery: Develop fluency with three-speed MP3s and MIDI files for every exercise, allowing you to focus on ear training, transcription, or high-speed performance at your own pace.

    Midi Files Included MP3 Jam Tracks Included For Piano or Guitar

    Ultimate 3 Note Chord Lexicon Volume Three “014″

    Ultimate 3 Note Chord Lexicon: Volume Two "013"

    Ultimate 3 Note Chord Lexicon Volume Three “014″

    Volume Three: The 014 Chord Lexicon explores one of the most evocative and “edgy” structures in music. Famous for its heavy use in Thelonious Monk’s dissonant textures and Anton Webern’s compositions, the 014 is a powerhouse for modern Jazz and Heavy Metal. While primarily used as a striking dominant 7th substitute, it also functions perfectly as a Diminished 7 or Minor-Major 7 chord, making it an essential tool for creating sophisticated hexatonic scales and Symmetrical Diminished harmonies.

    Course Highlights:

    • Modernize Your Harmony: Use the “014” structure to replace tired dominant chord voicings with a sharp, evocative sound reminiscent of Thelonious Monk and Anton Webern.
    • Versatile Modal Tools: Master five sets of études that demonstrate how 014s function as Diminished 7th or Minor-Major 7th substitutes, perfect for Jazz, Blues, and Heavy Metal.
    • Integrated Skill Building: Beyond standard chord diagrams, these études are designed for ear training, sight-reading, and transcription, helping you internalize these dissonant sounds in any key.
    • Pro Practice Assets: Includes rhythm section MP3s at three different tempos and MIDI files for every exercise, plus specialized bass charts and transposed piano p

    Midi Files Included All Keys Represented Treble and Bass Clef

    COMING SOON: 924 Hexatonic Scales in All 12 Keys

    924-Hexatonic-Scales-in-all-keys

    924 Hexatonic Scales in All 12 Keys

    Finding the specific hexatonic scale you need shouldn’t be a hurdle to your practice. We’ve organized all 924 scales into a streamlined, searchable reference designed for the modern improviser. By focusing on the 50 Prime Forms, you’ll learn to see the underlying architecture behind every scale.

    Course Highlights:

    • Architectural Organization: Simplifies the massive library of 924 hexatonic scales by grouping them into 50 Prime Forms, helping you understand the underlying structure and hidden relationships between scales.
    • Comprehensive Coverage: Includes 720 permutations per scale with all 12 keys fully represented to ensure total fretboard or keyboard mastery.
    • Detailed Theoretical Analysis: Provides a deep dive into each scale with Scale Degrees, Forte numbers, and harmonic possibilities for advanced melodic organization.
    • Practical Subset Mapping: Organizes scales as subsets of common structures—such as Major, Melodic Minor, Harmonic Minor/Major, Diminished, and Whole Tone—for easier integration into your vocabulary.

    < !-- 5th THEORY AND PRACTICE: 5th THEORY AND PRACTICE BOOK-->

    Midi Files Included All Keys Represented Treble and Bass Clef

    COMING SOON: 36 Atomic Scale Permutations

    36 Atomic Scale Permutations by Bruce Arnold for Muse-eek.com

    36 Atomic Scale Permutations

    “Atomic Scales” is the definitive term for Charlie Banacos’ specialized patterns for hexatonic mastery. This course is crucial for internalizing scales by dividing them into two distinct trichords (triad pairs), providing a clear, systematic path to fluid execution.

    Course Highlights:

    • The “Atomic Scales” Method: Master Charlie Banacos’ specialized hexatonic patterns by breaking scales into two distinct trichords (triad pairs) for a systematic approach to fluid execution.
    • Comprehensive Drill Library: Includes 36 permutations per scale, meticulously transposed across every key to ensure total technical internalization.
    • In-Depth Theoretical Analysis: Gain a deeper understanding of your melodic tools with detailed breakdowns of Scale Degrees, Forte numbers, and Harmonic possibilities.
    • Universal Accessibility: Designed for all instrumentalists with complete Treble and Bass clef compatibility for every exercise.

    Midi Files Included All Keys Represented Treble and Bass Clef

    COMING SOON: 9240 Trichord Permutations

    9240 Trichord Permutations by Bruce Arnold for Muse-eek.com

    9240 Trichord Permutations

    Explore the full spectrum of 36 trichord pair permutations derived from all 924 possible hexatonic combinations. Scales are categorized into seven harmonic families (Major, Melodic Minor, Harmonic Minor, etc.) for targeted practice. Available in Treble and Bass clef with full MIDI support.

    Course Highlights:

    • Total Trichord Spectrum: Explore a massive library of 9,240 trichord pairs derived from all 924 possible hexatonic combinations, offering unparalleled melodic variety.
    • Harmonic Categorization: All scales are organized into seven primary harmonic families (including Major, Melodic Minor, and Harmonic Minor) for highly targeted and efficient practice.
    • Systematic Patterns: Features 36 distinct permutations per hexatonic scale, providing a structured path to internalizing complex interval relationships.
    • Modern Digital Integration: Includes full Treble and Bass clef compatibility for all instruments, plus complete MIDI support for seamless integration into your digital workflow.

Midi Files Included All Keys Represented Treble and Bass Clef

COMING SOON: 10 Trichord Pairs for 924 Hexatonic Scales

10-Trichord-Pairs-for-924-Hexatonic-Scales by Bruce Arnold for Muse-eek.com

10 Trichord Pairs for 924 Hexatonic Scales

A streamlined, essential listing of the 10 specific trichord pairs that comprise each of the 924 hexatonic scales. This is a vital resource for players looking to break down complex scales into manageable, “grippable” three-note cells across all keys.

Course Highlights:

  • Modular Scale Breakdown: Master the essential 10 trichord pairs for each of the 924 hexatonic scales, turning complex structures into manageable, three-note “cells.”
  • Precise Pitch Mapping: Includes detailed Pitch Class Designations and Scale Degrees for every combination to ensure exact melodic accuracy.
  • Advanced Structural Insights: Access a comprehensive technical profile for each scale, including Prime Forms and Forte numbers for deeper harmonic analysis.
  • Full Key & Digital Support: Fully transposed across all 12 keys and includes MIDI files, making it easy to practice or integrate into your digital workstation.

Midi Files Included All Keys Represented Treble and Bass Clef

COMING SOON: 924 Hexatonic Scales Grouped by Prime Form

924-Hexatonics-Grouped-by-Prime-Form by Bruce Arnold for muse-eek.com

924 Hexatonic Scales Grouped by Prime Form

Master the internal architecture of melody. By grouping all 924 scales into their 50 parent Prime Forms, this course reveals the hidden relationships between seemingly unrelated scales, allowing you to organize your harmonic vocabulary more efficiently.

Course Highlights:

  • Architectural Mastery: Master the internal structure of melody by grouping all 924 scales into their 50 parent Prime Forms, revealing the hidden relationships between seemingly unrelated sounds.
  • Efficient Vocabulary Organization: Grouping scales by shared Prime Forms allows you to categorize and internalize your harmonic vocabulary more systematically.
  • Comprehensive Technical Profile: Provides deep analytical insights for every scale, including Scale Degrees, Forte numbers, and Prime Form designations.
  • Universal Practice Tools: Every scale is represented in all 12 keys and includes MIDI files for seamless practice and digital integration.

Midi Files Included All Keys Represented Treble and Bass Clef

COMING SOON: Hexatonic Chords: Root, 1st, and 2nd Inversions

Hexatonic-Chords-Root-1st-2nd-Inversions by Bruce Arnold for muse-eek.com

Hexatonic Chords: Root, 1st, and 2nd Inversions

A complete guide to the vertical application of hexatonic scales. Learn to voice and play every possible three-note chord derived from the hexatonic system across all 12 keys and inversions.

Course Highlights:

  • Vertical Harmonic Mastery: A comprehensive guide to the vertical application of hexatonic scales, teaching you to voice and play every three-note chord possible within the system.
  • Complete Inversion Library: Master 9,240 patterns covering Root, 1st, and 2nd inversions for every trichord pair, ensuring total fretboard or keyboard fluency.
  • Structured Chord Groupings: Organizes the 924 hexatonic scales into 10 specific trichord pair groupings per scale, transposed across all 12 keys.
  • Precision Practice Tools: Includes MIDI files for every key to ensure accurate pitch representation and a streamlined practice experience.

Midi Files Included All Keys Represented Treble and Bass Clef

COMING SOON: Hexatonic Modal Sequencing of Trichords

Hexatonic-Modal-Sequencing-of-Trichords by Bruce Arnold for muse-eek.com

Hexatonic Modal Sequencing of Trichords

The first level of Charlie Banacos’ “Double Mambos” concept. This course presents six essential sequencing patterns across all keys and harmonic categories. It is the perfect entry point for musicians seeking to move past simple scale runs into sophisticated modal shapes.

Course Highlights:

  • Intro to “Double Mambos”: Master the first level of Charlie Banacos’ legendary concept, using six essential sequencing patterns to move beyond simple scale runs into sophisticated modal shapes.
  • Comprehensive Modal Permutations: Includes 6 specific modal sequencing patterns per scale, fully transposed across all 12 keys for total technical command.
  • Harmonic Framework: Scales are strategically organized by their relationship to common seven-note scales, making it easier to apply these shapes to familiar chord progressions.
  • Universal Compatibility: Written with complete Treble and Bass clef support, ensuring accessibility for all instrumentalists looking to expand their melodic vocabulary.

Midi Files Included All Keys Represented Treble and Bass Clef

COMING SOON: Hexatonic Modal Sequencing with 2-Note Approach Patterns

Hexatonic-Modal-Sequencing-of-Trichords-with-Approach-Notes by Bruce Arnold for muse-eek.com

Hexatonic Modal Sequencing with 2-Note Approach Patterns

An advanced fusion of two classic Banacos techniques. By adding approach notes to the Level 1 Atomic Scales, this course builds the “Post-Bebop” vocabulary used by icons like John Coltrane and Eric Dolphy. Gain complete control over chromaticism and scale-degree targeting.

Course Highlights:

  • Advanced Technique Fusion: Combines two legendary Banacos methods by adding chromatic approach notes to Level 1 Atomic Scales, creating a sophisticated “Post-Bebop” vocabulary.
  • Iconic Melodic Vocabulary: Master the chromaticism and scale-degree targeting techniques used by jazz icons like John Coltrane and Eric Dolphy.
  • Extensive Pattern Library: Features 12 trichord patterns utilized as approach note figures, with 6 distinct permutations for every scale to build fluid control.
  • Universal Instrumental Support: Provides complete Treble and Bass clef compatibility, making these advanced concepts accessible to all musicians.

Midi Files Included All Keys Represented Treble and Bass Clef

COMING SOON: 924 Hexatonic Triples

924-Hexatonic-Triples by Bruce Arnold for muse-eek.com

924 Hexatonic Triples

This course divides each scale into three distinct 2-note patterns. This unique approach opens up a new melodic universe, offering intervals and contours that standard scale-wise playing cannot achieve. Includes PDF and MIDI for all 12 keys

Course Highlights:

  • New Melodic Horizons: Discover a unique “Triples” approach that divides each hexatonic scale into three distinct two-note patterns, unlocking intervals and contours beyond standard scale-wise playing.
  • Extensive Permutation Library: Master 60 permutations per scale, organized into structured two-note groups to help you navigate a “new melodic universe.”
  • In-Depth Theoretical Breakdown: Includes detailed analysis of Scale Degrees, Forte numbers, and harmonic possibilities for every scale combination.
  • Full Digital & Notation Support: Features complete Treble and Bass clef compatibility, high-quality PDFs, and MIDI files for all 12 keys.

Improvisational Studies

Transform theory into melody. This section features our extensive series of études and application guides, teaching you how to use specific pitch class sets to navigate modern jazz, modal, and chromatic environments.

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

Time Transformation

Time Transformation by Bruce Arnold for Muse Eek Publishing Company

Time Transformation

Time Transformation is designed for students ready to move beyond conventional melodic and rhythmic patterns. This course explores a new frontier of improvisation based on contemporary pitch class sets, asymmetrical phrasing, and time-level superimposition. By utilizing 027 trichords and 12-tone aggregates, students will develop the technical and conceptual tools required for modern performance.

Course Highlights:

  • Contemporary Melodic Theory: Explore hexatonic scales and trichord-based melodic construction.
  • Advanced Rhythmic Concepts: Learn time-level superimposition and improvising across different rhythmic levels.
  • Complex Phrasing: Break away from standard patterns with targeted etudes in 3/4, 4/4, 5/4, 6/4, and 7/4 time signatures.
  • Sight Reading: Develop proficiency with etudes covering all key centers.
  • Interactive Audio Study: Practice with downloadable MP3s featuring modal vamps and superimposed metronome clicks (3 to 7 clicks per measure).

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

Set Theory for Improvisation Ensemble Method: Hexatonic 027 027

Set Theory for Improvisation 027 027 by Bruce Arnold for Muse Eek Publishing Company

Set Theory for Improvisation Ensemble Method: Hexatonic 027 027

The Set Theory Ensemble Book series provides a roadmap for musicians looking to break free from traditional patterns. By focusing on non-tertial melodic lines that weave in and out of tonal centers, this course teaches you the backbone of modern improvisation. Through 12 targeted etudes using 027 027 pitch class sets, you will discover fresh melodic possibilities for Major 7, Minor 7, and Dominant 7th sus4 chords.

Course Highlights:

  • Modern Melodic Construction: Develop hexatonic melodies using contemporary music theory constructs.
  • 12 Key Mastery: Includes 12 etudes (one in every key) that progress from highly diatonic to advanced non-diatonic structures.
  • Versatile Application: Learn to apply these lines over various chord types to control and explore different levels of dissonance.
  • Comprehensive Concept Study: Each etude explores unique combinations of note groupings, rhythmic density, and melodic range.
  • Foundational Learning: Perfect for students seeking a focused deep-dive into the concepts expanded upon in Time Transformation.

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

Set Theory for Improvisation Ensemble Method: Hexatonic 027 016

Set Theory for Improvisation 027016 by Bruce Arnold for Muse Eek Publishing Company

Set Theory for Improvisation Ensemble Method: Hexatonic 027 016

Ready to develop a groundbreaking approach to your solos? The Set Theory Ensemble Book series teaches you to build modern, hexatonic melodies using non-tertial lines that move fluidly in and out of the key center. By focusing on 027 016 pitch class sets, this volume provides the essential tools for creating sophisticated melodic lines over complex chord structures.

Course Highlights:

  • Targeted Chord Mastery: Discover highly effective melodies specifically designed for Dominant 7th, Minor 7b5, and Minor 6th chords.
  • 027 016 Pitch Class Exploration: Master 12 etudes that utilize this specific set theory construct to expand your harmonic vocabulary.
  • Progressive Difficulty: Studies range from diatonic foundations to high-level non-diatonic examples, allowing you to control the level of dissonance.
  • Dynamic Musicality: Every etude explores unique combinations of rhythmic density, metric levels, and melodic range across all 12 keys.
  • Modern Melodic Backbone: Shift away from traditional scales toward the “modern sound” used by contemporary improvisers.

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

Tertial Intervallics Volume One

Tertial Intervallics Volume One by Bruce Arnold for Muse Eek Publishing Company

Set Theory for Improvisation Ensemble Method: Hexatonic 027 016

Tertial Intervallics Volume One teaches you to harness the power of repetitive intervals to create cohesive, modern melodic lines. By utilizing consistent four-note structures (7th chords) over varying harmonic backgrounds, your ear begins to perceive the “pattern” as the primary logic, allowing for sophisticated movement through any key center.

Course Highlights:

  • Comprehensive Chord Coverage: Master intervallic patterns for 13 essential structures, including Δ7, -7, 7sus4, -7b5, °7, Δ7#5, Δ7#11, and more.
  • Pattern-Based Logic: Learn how to use interval repetition to make complex or “outside” melodic lines sound musically sensible to the listener.
  • Multifaceted Application: A versatile resource perfect for improving sight reading, understanding chordal relationships, and developing a contemporary intervallic vocabulary.
  • Ear Training Integration: Optimized for use with drones and vamps to help you internalize the relationship between intervallic lines and tonal centers.

Included Materials:

  • 200-Page PDF: Extensive written exercises and conceptual guides.
  • Audio & MIDI Suite: 18 MP3s and 18 MIDI files to hear patterns at various tempos and harmonic settings.
  • Rhythm Tools: Includes “Long Line Rhythm” PDF and Video to help master phrasing.
  • MetroDrone: Specialized MP3 to facilitate the recommended “drone-based” practice method.

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

013 Hexatonic Études: Pitch Class Set Exercises for Dominant 7th Key Center

Ultimate 3 Note Chord Lexicon

Set Theory for Improvisation Ensemble Method: Hexatonic 027 016

Unlock a modern, sophisticated sound with 013 Hexatonic Études. This course focuses on the “pivot” technique—alternating between two three-note groups (013 pitch class sets) to create fresh, non-traditional melodies. Designed specifically for Dominant 7th chords, these exercises help you break out of common patterns and master one of music’s most essential harmonic structures.

Course Highlights:

  • 336 Comprehensive Études: Explore 28 unique hexatonic scales across all 12 keys, providing a massive library of modern sounds.
  • Advanced Melodic “Pivoting”: Learn to alternate between two 013 pitch class sets (half-step and minor third intervals) for a cutting-edge improvisational feel.
  • Multi-Speed Learning: Each étude is recorded at three different tempos, making the material accessible for everyone from beginners to advanced professionals.
  • Ear Training & Key Recognition: Use these exercises to improve your ability to identify hexatonic intervals and strengthen your dominant key center recognition.
  • Sight Reading Mastery: All études are written at a 16th-note metric level, serving as an excellent daily tool for improving rhythmic reading speed.

Included Materials:

  • Digital PDF: 336 pages of exercises (one page per étude).
  • High-Quality MP3s: Audio examples for every étude at three different speeds.
  • MIDI Files: Total flexibility to practice at any tempo using your favorite software.
  • Pitch Class Set Guide: A clear explanation of how to think in and apply pitch class sets to your playing.

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

Symmetrical Trichord Pairs

Symmetrical-Trichord-Pairs by Bruce Arnold for Muse Eek Publishing Company Symmetrical Trichord Pairs

Symmetrical Trichord Pairs

Symmetrical Trichord Pairs is an 847-page exhaustive reference guide exploring the formation of two three-note groups with identical structures. By focusing on chord tones and available tensions (avoiding “avoid notes”), this book provides a roadmap for “safe” yet highly sophisticated modern improvisation. From the 027 structures favored by modern jazz and metal players to the dissonant 013 sets used in avant-garde rock, this book helps you find your personal sonic identity within 574 possible combinations.

Course Highlights:

  • 847-Page PDF Reference: An immense library exploring 11 different symmetrical structures across all 12 keys.
  • Iconic Sound Analysis: Learn the structures used by legends: 014 and 016 (Thelonious Monk), 013 (John Coltrane), and 037 (McCoy Tyner).
  • Practical Sequencing: Every pair is sequenced up one octave to help you visualize and execute fluid melodic lines immediately.
  • Targeted Chord Application: Focuses strictly on “tension-free” improvisation, ensuring every note you play fits perfectly over your chosen chord type.
  • Strategic Learning Path: Includes guidance on choosing structures that work across multiple chord types to maximize your practice time.

How to Master Symmetrical Pairs:

  • Versatility Training: Identify pairs that function over Major, Minor, and Dominant chords for seamless soloing.
  • Genre Adaptation: Discover which pitch class sets best fit your style, from Blues-based Dominant structures to Heavy Metal quartal (027) sounds.
  • Interval Consistency: Match specific trichords to the internal interval logic of the music you are performing.

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

Trichord Sweep Pairs Guitar Instrumentalist Sweep Arpeggios

Trichord Sweep Pairs Guitar Instrumentalist Sweep Arpeggios by Bruce Arnold for Muse Eek Publishing Company

Trichord Sweep Pairs Guitar Instrumentalist Sweep Arpeggios

Trichord Sweep Pairs is the ultimate resource for guitarists and instrumentalists looking to master modern sweep picking. By stacking two identical 3-note structures (trichords), this course moves past basic triads into 2,440 pages of unique, cutting-edge sweep patterns. Whether you play Jazz, Metal, or Fusion, these patterns provide a logical, mathematical approach to mastering the entire fretboard.

Course Highlights:

  • 2,440 Pages of Patterns: An exhaustive exploration of every possible sweep combination based on 12 essential pitch class sets.
  • Guitar-Specific Diagrams: Includes optimized fretboard diagrams and suggested fingerings to help guitarists implement these sweeps immediately.
  • Pitch Class Set Logic: Organized by “Prime Form” (012 through 048), allowing you to understand the internal interval relationships of every sweep.
  • Video Masterclasses: Includes 80 minutes of video, featuring live performances and demonstrations of 012, 013, 014, 015, and 016 sets.
  • Multi-Genre Application: Master the “027” and “037” sounds common in Metal and Jazz, or explore the “013” sounds used in avant-garde compositions.

What’s Included:

  • Technical PDFs: Divided into “Diagrams” (choice patterns) and “Suggested Fingerings” (all possible structures) for focused study.
  • 12 Études: Musical studies designed to help you read and apply these sweeps in real-world situations.
  • Audio Suite: 6 MP3s of professional recordings demonstrating these concepts in action.
  • Theory Guide: Simple, slow-paced video explanations of Pitch Class Set Theory—no prior theory knowledge required.

Midi Files Included All Keys Represented Treble Clef Études in 3/4,4/4,5/4,6/4,7/4

Tertial Octatonics

Tertial Octatonics by Bruce Arnold for Muse Eek Publishing Company

Tertial Octatonics

Are you ready to move past tired arpeggio patterns? Tertial Octatonics provides a modern alternative by exploring the full potential of eight-note scales. By using two tetrads (4-note chords) as a vehicle, this course teaches you how to create cutting-edge sounds over Dominant 7th and Dominant 7sus4 key centers, expanding your harmonic palette far beyond the standard diminished scales.

Course Highlights:

  • Tetrad Combination Mastery: Learn every possible way to combine two 7th chords to form unique octatonic scales.
  • 29 Octatonic Scales: Explore a vast library of scales that serve as professional alternatives for modern improvisation and composition.
  • Enhanced Chord Knowledge: Use “two tetrad” combinations to master your 7th chords while simultaneously building complex melodic lines.
  • Practical Application: Get specific hints and exercises on applying these structures to real-world chord progressions for a “modern” sound.
  • Comprehensive Reference: Detailed coverage of combinations for 11 common 7th chords, including Major 7th, Minor 7b5, Diminished 7th, and Major 7#11.

What You’ll Receive:

  • Extensive Exercise Library: Over 250 pages of possibilities and targeted exercises across all major chord types.
  • Aural Training: Specialized information on how to hear and internalize these advanced eight-note structures.
  • Practice Strategies: Clear, step-by-step guidance on how to practice and implement these scales into your playing.
  • Theoretical Foundation: Background information on the origin and construction of each octatonic scale.

Midi Files Included All Keys Represented Treble and Bass Clef

COMING SOON: 924 Hexatonics with 24 Aggregate Patterns

924-Hexatonics-with-Aggregate-Patterns by Bruce Arnold for muse-eek.com

924 Hexatonics with 24 Aggregate Patterns

Using the concept of “Symmetrical Difference,” this course presents all hexatonic scales as part of 12-tone aggregate lines. The result is a collection of melodic phrases of immense complexity and modern beauty.

Course Highlights:

  • The Symmetrical Difference Concept: Experience a modern approach that presents all hexatonic scales as part of 12-tone aggregate lines, resulting in melodic phrases of immense complexity and beauty.
  • Extensive Aggregate Library: Master 24 aggregate permutations per scale, fully transposed into every key to build a truly modern melodic vocabulary.
  • Detailed Analytical Profile: Gain deep structural insights with detailed breakdowns of Scale Degrees, Forte numbers, and Set Class listings for every scale.
  • Digital Practice Integration: Includes MIDI files for every exercise, ensuring total pitch accuracy and an efficient workflow for mastering these complex lines.

Technique

Bridging the gap between the mind and the fingers. These technical manuals focus on the physical mechanics required to execute 3-note and 6-note groupings with speed, clarity, and rhythmic precision.

Midi Files Included Technical Studies No book just exercise

ChopBusters

ChopBusters

ChopBusters

The ChopBuster series is a comprehensive collection of 18 specialized volumes designed to bridge the gap between abstract set theory and fluid physical execution. By focusing on specific pitch-class sets (such as 013, 027, and 013679) and structured “Pyramid” or “Rotation” routines, these exercises provide a systematic path to mastering modern improvisational shapes. Whether you are navigating diatonic chords of the major modes, symmetrical diminished structures, or complex trichord sequences, the series offers a rigorous workout for all instrumentalists looking to expand their technical and harmonic range.

Course Highlights:

  • Comprehensive Pitch-Class Mastery: A rigorous 18-volume series dedicated to internalizing advanced structures like 013, 025, 027, and complex hexatonic sets through targeted technical drills.
  • Multi-Dimensional Study Patterns: Features a wide variety of exercise types, including Ascending/Descending sequences, “Pyramid” routines, rotations, and octave displacements for total fretboard and keyboard fluency.
  • Harmonic & Melodic Versatility: Designed for all instrumentalists, these exercises cover everything from closed-position chord voicings for chordal instruments to sophisticated “sweeps” and modal sequences for melodic players.
  • Deep Modal Integration: Systematically explores every key and mode—including Major, Symmetrical Diminished, and more—to ensure you can apply modern intervals naturally in any musical context.
  • Integrated Digital Practice Tools: Every volume is supported by MIDI files and multi-tempo MP3s, allowing students to verify pitch accuracy, develop their ear, and progressively build speed from a crawl to professional tempos.

44 specific two-triad/trichord combinations All (Treble and Bass clef included) MetroDrone® MP3s for all 12 keys

Improvisation, Composition, Ear Training, Sight Singing

Harmonic and Melodic Equivalence

Harmonic-and-Melodic-Equivalence-Series-BUNDLE-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc-Harmonic-and-Melodic-Equivalence-Series-Series

Harmonic and Melodic Equivalence

The Harmonic and Melodic Equivalence Series is a groundbreaking collection of courses dedicated to the art of Pitch Class Set Improvisation. By isolating and exploring 44 unique two-triad and two-trichord pairs, this series provides a systematic bridge between abstract set theory and practical application. These combinations are selected specifically for their modern melodic contours and harmonic depth, reflecting the sophisticated vocabulary used by advanced composers and improvisers.

More than just a technical manual, this series serves as a high-level ear training and sight-singing resource. By working through these exercises against a fixed key center (supported by MetroDrone® technology), musicians learn to internalize complex structures without losing their harmonic anchor. Whether you are a composer looking for new textures or a performer aiming for “Post-Bebop” fluency, this series offers a unique and comprehensive path to mastery that is currently unmatched in contemporary music education.

Course Highlights:

  • Advanced Pitch Class Set Improvisation: A groundbreaking series of books exploring 44 unique two-triad and two-trichord pairs, offering a comprehensive roadmap for modern melodic and harmonic development.
  • Holistic Musical Development: While designed for advanced improvisation, these exercises serve as a powerful tool for sight singing and ear training, specifically engineered to improve key retention and intervallic awareness.
  • Systematic Key Center Mastery: Each course includes 12 MetroDrone® MP3s and specific technical exercises to help you internalize complex structures within a stable key center.
  • Practical Application & Background: Every volume includes a detailed PDF providing theoretical background and clear instructions on applying these shapes to various chord types in all 12 keys.
  • Versatile Learning Formats: Available as individual volumes or a complete bundle, each course features treble and bass clef exercises and MIDI support for all instrumentalists.

Midi Files Included Technical Studies No book just exercise

Trichord Pairs: Scale & Prime Form Reference

Trichord-Pairs-Scale-and-Prime-Form-Reference by Bruce Arnold for muse-eek.com

9240 Trichord Pairs: Scale & Prime Form Reference

This massive resource provides a “birds-eye view” of the entire 12-tone system by organizing a vast collection of trichord pairs under their respective parent scales and Prime Forms. By understanding the “parent” structure of a trichord pair, musicians can better organize their practice and see the hidden connections between different melodic shapes. This course is essential for players who want to simplify complex harmonic relationships and develop a more structured approach to modern improvisation across the entire chromatic spectrum.

Course Highlights:

  • Comprehensive Trichord Mapping: A massive library of trichord pairs systematically grouped by their parent scales and Prime Forms for a structured view of the 12-tone system.
  • Universal Harmonic Relationships: Includes all 12 trichords, meticulously categorized by their specific relationships to eight common 7th chord types to ensure practical application.
  • Detailed Structural Analysis: Features an in-depth breakdown for every combination, including precise Scale Degrees and Prime Form designations for advanced study.
  • Optimized Practice Tools: Every exercise is presented in Treble Clef and includes high-quality MIDI files to help you master these complex shapes with total pitch accuracy.

Midi Files Included Technical Studies No book just exercise

COMING SOON: Trichord Harmonic Analysis

Trichord-Harmonic-Analysis by Bruce Arnold for muse-eek.com

Trichord Harmonic Analysis

This course provides a systematic map of every three-note subset hidden within Charlie Banacos’ legendary chord tone and tension lists. Designed to help musicians “mushroom” their existing vocabulary, the system shows you how to take a simple melodic idea and transpose it onto sophisticated harmonic structures to create cutting-edge colors with ease. By bridging the gap between basic shapes and complex tensions, this resource allows you to navigate modern jazz and contemporary fusion harmonies with total confidence and a refined sonic palette.

Course Highlights:

  • Complete Harmonic Analysis: Gain a deep understanding of all 12 trichords meticulously analyzed in every key for total melodic flexibility.
  • Systematic Chord Categorization: Each of the 12 trichords is categorized by its relationship to eight common 7th chord types, making it easy to apply these shapes to standard progressions.
  • Vocabulary Expansion (Mushrooming): Learn to map simple three-note ideas onto complex tension lists to generate sophisticated, “post-bebop” melodic lines effortlessly.
  • Digital Practice Tools: Includes professional Treble Clef notation and MIDI files for every exercise to ensure absolute pitch accuracy and faster technical mastery.

Midi Files Included Technical Studies No book just exercise

COMING SOON: Turnarounds with Trichords

Turnarounds-with-Trichords by Bruce Arnold for muse-eek.com

Turnarounds with Trichords

This course is designed to bridge the gap between abstract theory and real-world performance. By applying the “mushrooming” concept to standard turnaround progressions, these etudes provide a practical path to mastering modern jazz colors. The curriculum is structured to challenge your fluency, moving from exercises with a full-measure focus to rapid, two-beat changes. This systematic approach ensures that you can navigate common harmonic shifts with the sophisticated, cutting-edge vocabulary used by today’s top improvisers.

Course Highlights:

  • Functional Progression Mastery: Bridge the gap between theory and performance by applying advanced trichord “mushrooming” techniques directly to standard turnaround patterns.
  • Progressive Rhythmic Challenges: Develop fluid execution by moving from full-measure focus to rapid two-beat changes, ensuring you can handle fast-moving harmonic environments.
  • Internalize Modern Colors: Learn to naturally weave sophisticated jazz and post-bebop colors into your improvisations through targeted, musical etudes.
  • Digital Practice Support: Includes MIDI files for every exercise, allowing you to practice at any tempo and verify your pitch accuracy in every key.

Guitar Studies

Fretboard-specific mastery. These resources translate complex hexatonic concepts specifically for the guitar, focusing on unique fingerings, arpeggio shapes, and fretboard visualization techniques.

Midi Files Included Technical Studies No book just exercise

COMING SOON: 013 Hexatonic Études for Dominant 7th

Turnarounds-with-Trichords by Bruce Arnold for muse-eek.com

013 Hexatonic Études for Dominant 7th

Unlock the potential of the most influential pitch class set in modern jazz and contemporary music. This course provides a deep dive into the 013 structure, specifically targeting its application over Dominant 7th chords to create high-level melodic vocabulary. Through a series of specialized études, you will learn to navigate these sophisticated shapes with confidence, gaining the “cutting-edge” sound used by elite modern improvisers to break away from traditional scale-based playing.

Course Highlights:

  • Contextual Application: Master the 013 pitch class set through musical études written over standard vamps and progressions, ensuring immediate real-world usability.
  • High-Level Melodic Vocabulary: Develop sophisticated lines specifically designed for Dominant 7th chords, providing you with modern “post-bebop” colors that cut through any musical mix.
  • Rhythmic Diversity: Move beyond predictable eighth-note patterns with modern phrasing and rhythmic variations that reflect contemporary improvisational styles.
  • Massive Audio Support: Includes an expansive library of over 12,000 MP3s, serving as a powerful tool for both ear training and immersive play-along practice.

Ear Training

If you can’t hear it, you can’t play it. Using the renowned Muse-Eek method, these courses train your ear to recognize modern tonal relationships and internalize the unique “colors” of every trichord and hexatonic scale.

MP3 Files Included Ear Training Studies An Important Ear Training Course

COMING SOON: SerialEar: The Tonal Relationship Method

Turnarounds-with-Trichords by Bruce Arnold for muse-eek.com

SerialEar: The Tonal Relationship Method

Inspired by the legendary Charlie Banacos, SerialEar is a transformative ear training method that moves beyond isolated intervals to teach you how to hear the fundamental three-note “DNA” of modern music. By practicing these sounds against a constant drone, you learn to map the entire 12-tone clock relative to a singular harmonic “Home.” This course functions as a daily meditation on resonance, designed to create total transparency between your ear, your mind, and your instrument. It is an incredibly rich resource that bridges the gap between pure ear training and high-level improvisation, allowing you to master every possible three-note combination found in music.

Course Highlights:

  • Beyond Interval Training: Move past “intervals in a vacuum” to internalize the 3-note DNA that forms the building blocks of modern harmonic structures.
  • Relative Pitch Mastery: Map the 12-tone clock against a fixed drone to develop a deep, visceral understanding of how every note resonates relative to a tonal center.
  • Dual-Purpose Practice: Use these files as a powerful ear training tool or as a play-along resource to improve your ability to improvise around any 3-note combination.
  • Total Musical Transparency: A “daily meditation” on sound designed to remove the barriers between what you hear in your head and what you execute on your instrument.

Advanced Identification 9240 Files

2. COMING SOON: Hexatonic One-Note Ear Training

A high-level challenge for the serious ear. You are presented with a trichord-pair key center—ranging from standard progressions to highly dissonant clusters—and asked to identify a single pitch. This builds the ability to recognize tonal centers in even the most exotic harmonic environments.

 

Composing

Beyond improvisation. Explore how to use these modern tools to craft original music, using symmetrical logic and set theory to develop a unique and sophisticated compositional voice.

MP3 Files of Compositions Composing Studies Scores for Compositions

Tools for Modern Improvisation

cover for Tools for Modern Improvisation by Bruce Arnold exploring hexatonic and pitch class set uses for composition and improvisation

Tools for Modern Improvisation

This course is a comprehensive collection of the advanced methods I’ve employed over the last 25 years to push the boundaries of improvisation. It bridges the gap between high-level theory and practical facility, providing technical exercises, scores from my original compositions, and 20 audio recordings to demonstrate these systems in rock, blues, jazz, and classical idioms.

Course Highlights:

  • 23rd Chords: A 12-tone aggregate technique learned from Charlie Banacos, including 10,368 pages of facility exercises and 12-tone combination PDFs.
  • Extensive Pitch Class Set Analysis: In-depth application and etudes for 013, 014, 015, 016, 025, 026, and 027 sets.
  • Composition Scores & Transcriptions: Full scores for “Blue Eleven,” “12 Tone Boogie,” “Blue Lotus,” and a transcribed guitar solo for “A Few Dozen.”
  • Modern Standards: Solo guitar arrangements for “Stella by Starlight” and “A Child is Born” using modern applications.
  • 12-Tone Boogie: Practical facility exercises with specific fingering included for guitarists.
  • Application Charts: Master guides showing how to apply various pitch class sets to chords in all twelve keys.
  • Advanced Scale Theory: Detailed lessons on Symmetrical Diminished scales, altered dominants, and intervallic applications.

Midi Files Included MP3 Audio of Compositions Scores for Compositions

My Music: Exploration in the Application of 12 Tone Technique to Jazz Composition and Improvisation

book cover for My Music: Explorations in the application of 12 tone techniques to jazz composition by Bruce Arnold for Muse Eek Publishing Company

My Music: Exploration in the Application of 12 Tone Technique to Jazz Composition and Improvisation

Achieve a strikingly original sound by applying late 20th-century 12-tone compositional methods to jazz improvisation. Bruce Arnold explains how to move past traditional tertial harmony using trichords to create fresh, non-standard musical structures. Whether you want to replace traditional chords entirely or find sophisticated substitutes for forms like the 12-bar blues, this book provides a highly organized roadmap for the contemporary composer and improviser.

Course Highlights:

  • Pitch Class Set Application: In-depth use of sets 013, 014, 015, 016, and 027 in live improvisational settings.
  • Trichord Harmony: Methods for using four-trichord arrays and non-symmetrical groupings to replace standard chord voicings.
  • 23rd Chords: Sophisticated 12-tone aggregate techniques applied to modern jazz composition.
  • Serial Improvisation: Techniques for creating “pseudo 12-tone improvisational fields” that move beyond typical chord charts.
  • Reimagined Standards: Applications of trichord structures to classic forms like Giant Steps and the 12-bar blues.
  • Scores & Audio: Includes full scores for all discussed compositions and accompanying audio files (MP3 for digital, CD for physical).
  • Theory Simplified: Clear explanations of Post-Tonal Theory and Integer Notation for the practical musician.

Pitch Classes used in Each Composition MP3 Audio plus some Video Scores for Compositions

Bruce Arnold Composition Compilation 2nd Edition

Book cover for Bruce Arnold Composition Compilation by Bruce Arnold for Muse Eek Publishing

Bruce Arnold Composition Compilation 2nd Edition

Spanning nearly 30 years of creative output (1990–2018), this collection features 90 compositions across a vast landscape of styles, including Jazz, Funk, Rock, Metal, Country, and Blues. This is an essential resource for any musician looking to see the real-world application of Pitch Class Set theory, with many charts including specific set listings and improvisational guides used by Bruce Arnold himself.

Course Highlights:

  • 90 Full Compositions: A massive library of music ranging from trio settings to intricate solo guitar pieces.
  • Pitch Class Integration: Most charts supply the specific sets used for construction, providing a direct roadmap for improvisers.
  • Multi-Genre Application: Demonstrates how 12-tone and serial techniques can be applied to everything from “WoodPecker Blues” to Metal and Modern Jazz.
  • Interactive Audio/Video: The Audio and Video edition includes a full live performance at the Provincetown Playhouse.
  • Cross-Referenced Study: Designed to work alongside Tools for Modern Improvisation and My Music for deep-dive technical study.
  • Comprehensive 013 Blues: Includes a complete series of 013-based Blues compositions in all twelve keys.

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Segmenting Bebop Scales with Approach Notes https://muse-eek.com/segmenting-bebop-scales-with-approach-notes/ https://muse-eek.com/segmenting-bebop-scales-with-approach-notes/#respond Wed, 11 Jun 2025 02:16:53 +0000 https://muse-eek.com/?p=1428435 Continue reading →]]>

Segmenting Bebop Scales with Approach Notes by Bruce Arnold

by Bruce Arnold

124 Eight Note Scales with 12 Diatonic and Chromatic Approaches

is part of the: Octatonics Courses

Add digital copy to cart – $19.99

 

Buy this course at Bruce Arnold’s Patreon Page

Segmenting Bebop Scales with Approach Notes by Bruce Arnold for Muse Eek Publishing Inc. uses the same 124 octatonic (eight note) scales as the “Segmenting Bebop Scales” course. The main difference is the inclusion of 11,904 PDFs and Midi files for the exercises and an explanation of approach notes. “Segmenting Bebop Scales with Approach Notes” will of course get you using approach notes but it will also change your ability to play over chord changes and more importantly, how it will change your phrasing.  This course is part of a series of books on octatonics

The use of approach notes with these segmented Bebop scales requires a whole new set of skills which will become apparent as you read through the course. If you haven’t worked with approach notes previously you will find this will be a pretty step learning curve especially when you start applying these figures within real music.

I spent many years working on the similar rote exercises as found in this book. I also spent a lot of time applying these figures to jazz standards. Most of the chord progressions I used were from the Bebop lexicon; songs such as “Confirmation,” “Donna Lee,” and Rhythm Changes. It is also a great idea to play these progression in all 12 keys.

You will quickly find that not only do these segmented Bebop scales with approaches gives you a strong “Jazz Sound” but they also help your understanding phrasing in a whole new way. By anticipating the segmented Bebop line you create a whole new way to phrase. More on this in the course.

With the addition of this course you now have three method books that you can use to get a deeper understanding of Bebop scales and two different ways to play them, with and without approaches.

It’s also important to do some ear training with these “Segmenting Bebop Scales with Approaches”. My teachers had me play but also sing these segmented Bebop scales with approaches all in one key. So for instance, if you were playing these over “Donna Lee” you would sing all the segmented scales in the key of Ab. This will not be easy for most musicians but will really ingrain the information and help improve your key retention.

Below is an excerpt from the Foreword of “Segmenting Bebop Scales with Approach Notes” 

“Segmenting Bebop Scales with Approach Notes” is very similar in written content to the “Segmenting Bebop Scales” course. The main difference is the inclusion of 11,904 PDFs and Midi files for the exercises and an explanation of approach notes. Although the application of Bebop scales with approaches is very similar to the directions used for the “Segmenting Bebop Scales” course, one of the crucial differences is how this course will change your ability to play over chord changes and more importantly, how it will change your phrasing.

The use of approach notes with these segmented Bebop scales requires a whole new set of skills which will become apparent as you read through the course. If you haven’t worked with approach notes previously you will find this will be a pretty step learning curve especially when you start applying these figures within real music.

I spent many years working on the similar rote exercises as found in this book. I also spent a lot of time applying these figures to jazz standards. Most of the chord progressions I used were from the Bebop lexicon; songs such as “Confirmation,” “Donna Lee,” and Rhythm Changes. It is also a great idea to play these progression in all 12 keys.

You will quickly find that not only do these “Segmenting Bebop Scales with Approach Notes” gives you a strong “Jazz Sound” but they also help your understanding phrasing in a whole new way. By anticipating the segmented Bebop line you create a whole new way to phrase.

With the addition of this course you now have three method books that you can use to get a deeper understanding of Bebop scales and two different ways to play them, with and without approaches.

It’s also important to do some ear training with these segments. My teachers had me play but also sing these segmented Bebop scales with approaches all in one key. So for instance, if you were playing these over “Donna Lee” you would sing all the segmented scales in the key of Ab. This will not be easy for most musicians but will really ingrain the information and help improve your key retention.

This course contains a lifetime of practice. Mastering 124 segmented Bebop scales will take many years. I recommend you use some of the popular Bebop scales first and then branch out over time to some of the more esoteric examples.

You can find out more information on this course at Bruce Arnold Blog

Segmenting Bebop Scales with Approach notes by Bruce Arnold

 

Table of Contents:

Segmenting Bebop Scales with Approach Notes
Common Bebop Scales
Approach Notes
Course Breakdown
124 Bebop Scales
Bebop Scales and Chords They Work Over
How to Practice with this Course
Segmenting Bebop Scales with Approaches
Conclusion

 

List of Contents for Segmenting Bebop Scales with Approach Notes Course:

 
62 Page PDF
 
Ascending Bebop Lines with 12 Different Chromatic Approaches all keys 124 Scales
 
Ascending Bebop Lines with 12 Different Diatonic Approaches all keys 124 Scales
 
Descending Bebop Lines with 12 Different Chromatic Approaches all keys 124 Scales
 
Descending Bebop Lines with 12 Different Diatonic Approaches all keys 124 Scales

Jam Tracks V1 (MP3’s of 10 chord types in all 12 keys)

ISBN: 978-1-59489-290-5

 

What people are saying:

OK I got a sneak preview of this course from Bruce.  This is a heavy weight look at the ultimate way to play Bebop Scales.  Bruce said he learned the concept from the great tenor player Jerry Bergonzi back in the day.  Bruce Arnold also said it really helped him to play over jazz tunes but also totally revolutionized his phrasing.  Highly recommend!. J. Johnson

Totally killing course.  I think this is my favorite in the Bebop Series.  I’ve worked with Bruce’s Approach Note course so this is really great to dig into some more esoteric Bebop Scales.  Love the idea of using these types of scales in a more modern way. T. Barnett

OK this is it.  If you want to get Bebop Scales into your playing this mammoth undertaking will get you there.  The hippest thing for me is taking some of these esoteric Bebop scales and applying them to dominant chords.  Holy Crap that sounds great!  A. Victors

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The methods found on muse-eek.com are part of a historical musical lineage stretching back to the 18th-century masters.

By using Muse-Eek books and courses, you are now a part of this lineage—a tradition of excellence passing through legends like Charlie Banacos and Jerry Bergonzi.

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Segmenting Bebop Scales with Approach Notes by Bruce Arnold for Muse Eek Publishing Inc.

Bruce Arnold Guitarist and Author

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