Harmonic and Melodic Equivalence V9 Trichord Pair -by-bruce-arnold-for-muse-eek-publishing-inc-Harmonic and Melodic Equivalence Series

Harmonic and Melodic Equivalence V9 Trichord Pair

This course works with a trichord pair consisting of a two 024 pitch class sets. Two trichords, unlike a two triad pair, are not build in thirds. Two 024 trichords give you are very modern sound and are a particularly beautiful sound that is very useful as a replacement for a major or minor chord. You can pivot back and forth between these trichords in various ways and this course gives you 328 pages of exercises in all keys with MP3 and Midi files to do just that. Harmonic and Melodic Equivalence V9 Trichord Pair also contains examples of how you could use these two trichords in extended harmonic reharmonizations. These aspects make this the definitive study of this two trichord pair.

Harmonic and Melodic Equivalence V9 Two Triad Pair

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Background Information on a Two Triad Pair or Two Trichords

“Harmonic and Melodic Equivalence Trichord Pair” is a series of books that will help you to develop many different musical skills simultaneously. The source materials for this book are exercises that contain two 3 note groupings which are not built in thirds. First a little background, “two triad pairs” consist of two 3 note groupings that are built in 3rds. These combinations typically use a major, minor, diminished or augmented triad and when grouped into a collection of two are called a “two triad pair.”

A trichord pair on the other hand takes any of the 9 other possible 3 note combinations and builds pairs using these pitch class sets. These include 012, 013, 014, 015, 016, 024, 025, 026 and 027. Any three note group can be referred to as a “trichord” but is more commonly used when speaking of a three note grouping not built in thirds.  Trichords can also be referred to as non-tertial two triad pairs.

The exercises found in this course use many different types of harmonic and melodic ideas that can be superimposed over common chord progressions, scales and other musical situations. This course concentrates on using a two 024 pitch class sets. An example of that would be C, D, E and G, A, B. There are many ways to think about this six note grouping but one of the common ways is to think of it as six notes from a C Major scale minus the 4th. This makes this combination a great resource for applying to any scale or chord found within the Ionian modes. Charts are included to show you how these notes function in all 12 keys as well as many other charts showing other distinctions found within this two triad combination.

Unique Aspect of These Two Trichord Books

The two trichord books are pretty unique to the Muse Eek Publishing Inc. catalog. The various non-tertial two triad pairs found in this collection are both beautiful and highly applicable to modern improvisation. They work well as a melodic and harmonic device and Mr. Arnold has written a body of work through both recordings, videos and books dedicated to these non-tertial combinations. As with all of Mr. Arnold’s books there is a sharp focus on the ear training and the “Harmonic and Melodic Equivalence Two Trichord” Series is no different. Each exercise or chart is always relating back to the idea of how you would hear these notes within a key center. This book includes a section where the two trichord pair are put into common chord progressions but more importantly shows you how these progressions relate to the overall key center. Learning music based on how your hear it rather than relating everything to a chord by chord approach is the rosetta stone of music. This is the secret to the previously undecipherable mystery of understanding music from an aural perspective.

Harmonic and Melodic Equivalence Series

This course is part of the Harmonic and Melodic Equivalence Series which explores over 50 different either trichord pairs or two triad pairs. To see all volumes follow the link above to explore each volume and hear examples from each course as well as finding links to compositions that I’ve written using each combination.

Harmonic and Melodic Equivalence Exercises

This course is divided up into two sets of exercises written in treble and bass clef. The 1st set of exercises gets gradually harder but also more musical. Depending upon your musical skills you can start anywhere you want but for beginners I would recommend starting from the 1st exercise of the five. The 2nd set of exercises are called “Atomic Scales.” These exercises are a technical exercise that really helps you to learn these ideas but also sound great as a melody right off the bat. There are 6 different types of “Atomic Scales” exercises in this course. You don’t have to play every exercise in every key. But doing this will greatly increase the likelihood of you using it in real music in the future. Below is a listing of the exercises found in this course:

  • Closed position studies.
  • 1st inversion studies.
  • 2nd inversion studies.
  • Random combinations of closed position along with 1st and 2nd inversion.
  • Random combinations of closed position along with 1st and 2nd inversion with rhythmic displacement.
  • Atomic Scales Exercise 1
  • Atomic Scales Exercise 2
  • Atomic Scales Exercise 3
  • Atomic Scales Exercise 4
  • Atomic Scales Exercise 5
  • Atomic Scales Exercise 6

Explanation of 2nd Set of Exercises in Harmonic and Melodic Equivalence V9 Trichord Pair Course

Below is an explanation for each set of the 6 different atomic scale exercises found in this course. Three octave sequences that move back and forth between the two 3 note groups are presented in six different configurations. These exercises are highly melodic and can be used verbatim as melodies when soloing. If we thought of the three notes as A,B,C then there would be six different ways to combine these notes. i.e. ABC, ACB, BAC, BCA, CAB and CBA. All exercises include MP3s as well as midi files so that you can hear and play these exercises at any tempo as well as versions in all 12 keys.

  • Three octave sequences that move back and forth between the two 3 note groups in the ABC sequence
  • Three octave sequences that move back and forth between the two 3 note groups in the ACB sequence
  • Three octave sequences that move back and forth between the two 3 note groups in the BAC sequence
  • Three octave sequences that move back and forth between the two 3 note groups in the BCA sequence
  • Three octave sequences that move back and forth between the two 3 note groups in the CAB sequence
  • Three octave sequences that move back and forth between the two 3 note groups in the CBA sequence

1st Set of Exercises in Harmonic and Melodic Equivalence V9 Trichord Pair Course

Here are a few examples from the 1st set of exercises. A complete list of the different types of exercises can also be found below.

Closed Position Exercise

  • 01-024-024-Degree-1-2-3-5-6-7-Closed-Position-Key-C-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

1st Inversion Exercise

  • 02-024-024-Degree-1-2-3-5-6-7-1st-Inversion-Key-F-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

2nd Inversion Exercise

  • 03-024-024-Degree-1-2-3-5-6-7-2nd-Inversion-Key-Bb-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

Random combinations of closed position along with 1st and 2nd inversion.

  • 04-024-024-Degree-1-2-3-5-6-7-Random-Inversions-Key-Eb-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

Random combinations of closed position along with 1st and 2nd inversion and rhythm permutation

  • 05-024-024-Degree-1-2-3-5-6-7-Random-Inv-Rhy-Key-Ab-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

2nd Set of Exercises in Harmonic and Melodic Equivalence V9 Course

Here are a few examples from the 2nd set of exercises.

Atomic Scales 1st Rotation

  • 01-024-024-Degree-1-2-3-5-6-7-Atomic-Scale-Ex-1-Key-C-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

Atomic Scales 2nd Rotation

  • 02-024-024-Degree-1-2-3-5-6-7-Atomic-Scale-Ex-2-Key-F-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

Atomic Scales 3rd Rotation

  • 03-024-024-Degree-1-2-3-5-6-7-Atomic-Scale-Ex-3-Key-Bb-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

Atomic Scales 4th Rotation

  • 04-024-024-Degree-1-2-3-5-6-7-Atomic-Scale-Ex-4-Key-Eb-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

Atomic Scales 5th Rotation

  • 05-024-024-Degree-1-2-3-5-6-7-Atomic-Scale-Ex-5-Key-Ab-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

Atomic Scales 6th Rotation

  • 06-024-024-Degree-1-2-3-5-6-7-Atomic-Scale-Ex-6-Key-Db-Harmonic-and-Melodic-Equivalence-V9-Trichord-Pair-by-Bruce-Arnold-for-Muse-Eek-Publishing-Inc.-024-024

MP3 example

TOC in the Harmonic and Melodic Equivalence V9 Trichord Pair Course:

  • How to Use This Course
  • Harmonic/Melodic Possibilities of an 024 and 024 combination.
  • Chord Possibilities of this 024 and 024 combination
  • Two triad pairs rotations Starting on Every Eighth Note
  • How to think of these an 024 and 024 combinations that are used in this course
  • The 024 and 024 combination Daily Exercise-Atomic Scales
  • Thinking of these two triad pairs as applications to Modes
  • Thinking of these two triad pairs as One Scale
  • C, D, E and G, A, B as One Scale in All Keys
  • Forming chord progressions with two triad pairs
  • Forming extended chord progressions with two triad pairs
  • Choosing chord progressions from two triad pairs
  • Additional practice ideas

Get Harmonic and Melodic Equivalence V9 Trichord Pair Today!

Status: In stock, Digital book is available for immediate access.

Additional Information for Harmonic and Melodic Equivalence V9 Trichord Pair:

  • Digital Edition 978-1-59489-251-6
  • One 14 page PDF explaining exercises, 5 different types of exercises, 328 pages of exercises in PDF format in treble and bass clef.
  • Information and examples of forming extended chord progressions with this two triad pair.
  • MP3’s and Midi files for all exercises.
  • 12 MP3s from Tuba MetroDrone®

What people are saying:

Hey Bruce, just got to tell you that these two 024s are such a beautiful and simple combination! I’ve been playing them as as chords and melodies and they are simply gorgeous. The idea of superimposing the two 024s as a bII∆7 chord is something I’m using immediately and quickly realizing that this is a sound that many advanced improvisers use. Thanks again for opening my eyes to a new world of sound. By the way, I really enjoy the 024 Alap Video from the “Cloudwalking” CD. A great of example of the beauty of this combination. J. Ogland

Hey Museekers, Really digging this 024 stuff. Never dealt with the pitch class set side of things but you make it so easy to just work with the material and don’t just concentrate on the theory side of things. Appreciate that because I’m not big on theory I’m more into getting different sounds into my playing. I think Bruce is coming from the same place from reading through his practice recommendations. I’m pretty much just reading a few measure of the exercises and then I’m off to applying that to real music. Thanks for sharing all your knowledge and patiently answering all my pesky emails :) J. Lawrence

Just wanted to let you know that I greatly appreciate all these two trichord books. It is very hard to find information on the web about these combinations and man are they cool! It is odd that there is so little coverage of this on the net. But I guess it’s like what you said in your email, Your Approach Note Course is another example of an improvisational concept that no one but yourself has written a full blown course to cover this important subject. Anyway, keep’em coming, I really cherish your insights on these subjects. A. Connelly

These 024s are the bomb! What I dig about trichords is I can put them directly into my rock music writing and they sound fresh and interesting. 024 are best for ballads with an acoustic guitar where I’m playing the 024s as chords. Sweet stuff! Thanks J. Edwards

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About Muse Eek

Muse-Eek Publishing Company is a publishing house with a broad focus on music education. Muse-Eek also publishes fine art and poetry books, and has its own record label, Muse-Eek Records. Our online presence, Muse-Eek.com specializes in the publication of music workbooks, video courses and sound and video recordings that teach the foundation of good musicianship through groundbreaking and innovative methods along with traditional methods that have been taught for centuries. These historic methods date back through centuries of great musicians and educators. To see these interesting relationship please see Bruce Arnold's Music Education Genealogy Chart which tells you a lot about the where many of his educational ideas took root and some of the educational pillars that are evident throughout the books you find on this website. The Muse-Eek Records catalogue contains a diverse selection of music much of it by Bruce Arnold in collaboration with some of today's best players in classical, jazz, rock and avant-garde music. These are available in CD, DVD and mp3 formats. We believe in a working relationship with our music education customers; they are free to interact with the author after purchasing a book to help them through any material they don’t understand or which they need further clarification. We also have a member's area which contains a wealth of free information to help a student understand music at a deeper level and access additional files for our books. Many of our books offer cutting edge ideas regarding ear training, guitar technique, rhythm and time. These methods have a proven track record. Our main author Bruce Arnold has taught at some of the most prestigious music schools in the world, including Princeton, Dartmouth, Berklee College of Music, New England Conservatory, The New School and NYU. Along with Mr. Arnold's publications on the Muse-eek.com website he has also written books and appeared in educational DVDs for MelBay and Truefire. Over the years Mr Arnold has used his experiences with his students to develop a program that can elevate a musician's ability to world class caliber. If you have questions about any of our books or recordings please send us an email. Along with general questions about either our record label or our publishing company we also welcome questions to help a student choose the proper materials to reach their goals. We have over 300 products to help you learn any style of music and to develop your musicianship to its peak. We also make recommendations for practice schedules for students who use our methods to get the most out of their study time. This, along with personal interaction with Bruce through email, nurtures the student's ability through a closely monitored situation, ensuring there is no wasted time or misunderstanding.