Hexatonic Scales The Complete Guide – Muse Eek https://muse-eek.com Bruce Arnold Innovation in Music Education Fri, 27 Mar 2026 03:24:59 +0000 en-US hourly 1 https://muse-eek.com/wp-content/uploads/2020/08/cropped-Muse-eek-logo-512X512-300dpi-32x32.jpg Hexatonic Scales The Complete Guide – Muse Eek https://muse-eek.com 32 32 Muse Eek Links https://muse-eek.com/muse-eek-links/ https://muse-eek.com/muse-eek-links/#respond Fri, 08 Mar 2019 21:53:39 +0000 https://muse-eek.com/?p=9493 Continue reading ]]> Links

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Hexatonic Scales A Complete Guide https://muse-eek.com/hexatonic-scales-a-complete-guide/ https://muse-eek.com/hexatonic-scales-a-complete-guide/#respond Sat, 06 Dec 2014 20:42:43 +0000 http://muse-eek.com/?p=5075 Hexatonic Scales

: A Guide by Bruce Arnold

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Hexatonic Scales: The Complete Guide | Bruce Arnold


Hexatonic Scales: A Complete Guide

A hexatonic scale is a six-note scale. Often referred to as a “hexachord,” it occupies a vital space in modern music theory, sitting between the 5-note pentatonic and the 7-note diatonic (major/minor) scales. This unique structure provides a “signature sound” that is more sophisticated than a pentatonic but more open and transparent than a septatonic scale.

Free Hexatonic Materials: Sign up to receive sample PDF exercises and MIDI files to start your journey. Sign up here.

The Influence of Charlie Banacos

Much of the methodology presented here was developed during five years of study with the legendary music guru Charlie Banacos. Charlie used “Double Mambos”—pivoting between two 3-note groups—to teach students how to create modern, non-tertial sounds instantly.

Whether you are a beginner or a professional at Berklee or NYU, these systems break down complex pitch class theory into manageable “pivoting” movements that define your unique voice as a musician.

The 12 Foundational Trichords

In 20th-century Pitch Class Set Theory, every possible 3-note combination can be reduced to one of these 12 “Trichords.” Mastering these is the key to unlocking the hexatonic universe.

Set Interval Structure Musical Characteristic
012 Three half steps Maximum dissonance; 12-tone clusters
013 Half + Whole step The “Universal” set for all chord types
014 Half + Major 3rd Thelonious Monk sound; Diminished/Minor-Major
015 Half + Perfect 4th Beautiful replacement for Major/Minor chords
016 Half + Tritone Aggressive Dominant 7th or Minor 7b5 sound
024 Two whole steps Open, consonant sound for ballads
025 Whole + Fourth Modern pentatonic sound
026 Whole + Tritone Whole-tone dominant structures
027 Whole + Fifth The quintessential modern “Jazz” Sus4 sound
036 Two minor 3rds Symmetrical diminished triad
037 Minor + Major 3rd The traditional Major/Minor triad
048 Two Major 3rds The traditional Augmented triad

Replacing Your “Tired” Old Chords

Instead of playing a standard C Major (C, E, G), try pivoting between 015, 025, or 027 structures. By leaving out the 3rd or adding specific tensions, you create a fresh musical palette that works in any style—from Heavy Metal to Contemporary Classical.

  • For Major/Minor sounds: Use 015, 024, 025, or 027.
  • For Dominant sounds: Use 012, 013, 014, 016, or 026.
  • For Minor 7b5: Stick with 016 to start.

The Aural Path: Ear Training

As Charlie Banacos taught, your ear is your most important vehicle. To master hexatonics, you must recognize these sounds within a Key Center.

Ear Training & Singing

  • 3-Note Melodic & Harmonic Training
  • 9,240 Hexatonic Key Center Files
  • Trichord Singing Exercises (All Keys)
  • 18 Inversions per Trichord

Explore Ear Training Series

The Physical Path: Technique Books

Technique is about developing the “chops” to play what you hear. Our 2026 curriculum includes thousands of permutations based on the Banacos approach.

Sequencing & Permutations

  • Hexatonic Modal Sequencing (36 Permutations)
  • 9,240 Permutations (Banacos Style)
  • ChopBusters for Hexatonics
  • 924 Scales: Ascending & Descending

View Technique Books

Theory & Composition

  • 924 Aggregates (12-Tone Coverage)
  • 924 Hexatonics Grouped by Prime Form
  • The Sonic Resource Guide
  • Symmetric Difference Analysis

View Theory Library

Historical Context: Jazz & Classical

From McCoy Tyner’s “Passion Dance” (Eb and F triads) to the complex 12-tone rows of Schoenberg and Webern, hexatonics bridge the gap between tradition and the avant-garde. My group “Spooky Actions” has recorded many of these applications to show how a single hexatonic scale can be the foundation for an entire composition.

Listen to original recordings and 50+ CDs of hexatonic applications at the Muse-eek store.

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