Symmetric Scales for Guitar — Whole Tone, Diminished & Messiaen

Most scales in Western music are asymmetric — their interval pattern does not divide the octave evenly, which is why you get 12 unique transpositions of the Major scale. Symmetric scales are fundamentally different. Their repeating interval structures create sounds that float outside traditional tonality, and on guitar they produce remarkably efficient fretboard patterns.

1. What Makes a Scale Symmetric

A symmetric scale is built from a short interval pattern that repeats until it fills the octave. Because the pattern divides 12 semitones into equal segments, transposing the scale does not always produce a new set of notes — after a certain number of transpositions, you get the same pitch collection again. This property is called limited transposition.

The Major scale has 12 unique transpositions because its interval pattern (W-W-H-W-W-W-H) does not divide the octave symmetrically. A symmetric scale like the Whole Tone scale, built entirely from whole steps, divides the octave into 6 equal parts — so only 2 transpositions produce unique note sets. The remaining 10 are duplicates.

2. Whole Tone Scale (Messiaen Mode 1)

The simplest symmetric scale: six notes separated entirely by whole steps. Formula: 1, 2, 3, #4, #5, b7. Because every interval is identical, there is no leading tone, no dominant pull, no resolution — just pure floating ambiguity.

Claude Debussy made the Whole Tone scale famous in pieces like Voiles, using it to evoke fog, water, and dreamlike states. In jazz, it appears over augmented chords (like Cmaj7#5) where the #5 needs to be reflected in the scale. On guitar, the symmetry means every fingering pattern repeats every 2 frets — once you learn one position, you can slide it up a whole step and play the same shape.

3. Diminished Scales

The diminished scale alternates between whole steps and half steps, producing an 8-note (octatonic) scale with extraordinary harmonic density. There are two versions, and understanding the difference between them is critical for any jazz or fusion guitarist.

Whole-Half Diminished

Formula: 1, 2, b3, 4, b5, b6, 6, 7 (pattern: W-H-W-H-W-H-W-H)

This is the scale you play over diminished 7th chords. It starts with a whole step and contains all four notes of the dim7 chord plus four additional passing tones. Because it divides the octave into 4 equal minor-third segments, only 3 unique transpositions exist — C, Db, and D whole-half diminished cover all 12 keys.

Half-Whole Diminished

Formula: 1, b2, b3, 3, #4, 5, 6, b7 (pattern: H-W-H-W-H-W-H-W)

This is the jazz musician's dominant scale — used over dominant 7th chords to create tension before resolution. It starts with a half step and contains both the 3rd and b7 of a dominant chord, plus the b9, #9, #11, and 13 — giving you every important altered extension in one scale. This is the sound of bebop tension.

The crucial distinction: if you see a Cdim7 chord, reach for C whole-half diminished. If you see a C7 chord and want maximum tension, reach for C half-whole diminished. Mixing them up is one of the most common mistakes in jazz improvisation.

4. Augmented Scale

Formula: 1, b3, 3, 5, #5, 7 (pattern: m3-H-m3-H-m3-H)

The augmented scale is built from two interlocking augmented triads a half step apart — for example, C augmented (C-E-G#) and Db augmented (Db-F-A). This gives you 6 notes that divide the octave into 3 equal major-third segments, yielding only 4 unique transpositions.

John Coltrane explored this sound extensively, using the augmented scale's ability to shift between major and minor thirds to create his signature "sheets of sound." The scale has a surreal, kaleidoscopic quality — it sounds simultaneously major and minor, stable and unstable. On guitar, the three-fret repeating pattern makes it surprisingly manageable once you see the geometry.

5. Six Tone Symmetric

Formula: 1, b2, 3, 4, #5, 6 (pattern: H-m3-H-m3-H-m3)

The six tone symmetric scale alternates half steps and minor thirds, creating a hexatonic structure that divides the octave into 3 equal segments. With only 4 unique transpositions, it sits at the intersection of tonal and atonal music — too symmetric to sound traditionally "in key," but too structured to sound random.

This scale is primarily a tool for composers working in atonal or serial contexts. Its interval content produces stark, angular melodies that resist conventional harmonic analysis. For the guitarist, it offers an alternative to the whole tone scale when you want a floating, centerless sound but with more intervallic variety (the minor thirds break up the uniformity).

6. Messiaen's Modes of Limited Transposition

Olivier Messiaen, the French composer and organist, systematically cataloged symmetric scales in his treatise The Technique of My Musical Language (1944). He called them "modes of limited transposition" and described their appeal as the "charm of impossibilities" — the fact that these scales cannot be transposed through all 12 keys creates a closed, self-referencing harmonic world that Messiaen associated with spiritual transcendence and the infinite.

Modes 1 and 2 are the Whole Tone and Diminished scales already covered above. Here are the remaining modes:

Messiaen used these modes to depict birdsong, stained glass light, and theological concepts in works like Quartet for the End of Time and Turangalila-Symphonie. For guitarists, Mode 3 is the most immediately useful — its 9-note structure is rich enough for extended improvisation while maintaining a distinctive "neither major nor minor" quality that sounds unlike anything in conventional Western harmony.

7. Prometheus and Scriabin Scales

Prometheus (Mystic Scale)

Formula: 1, 2, 3, #4, 6, b7

Alexander Scriabin developed this six-note scale as the harmonic foundation for his tone poem Prometheus: The Poem of Fire (1910). Scriabin was deeply influenced by theosophy — the mystical belief system that saw correspondences between sound, color, and spiritual evolution. He designed the Prometheus scale to embody these metaphysical ideas, creating a harmonic language that exists between major and dominant, between earthly and transcendent.

The scale combines the brightness of the Lydian #4 with the unresolved tension of the b7, producing what Scriabin called a "mystic chord" when harmonized vertically (C-F#-Bb-E-A-D). On guitar, the closest practical match is the Lydian Dominant scale, which adds the 5th to Scriabin's six-note formula. Explore the Lydian Dominant harmonizer to hear how these chords interact.

Prometheus Neapolitan

Formula: 1, b2, 3, #4, 6, b7

A darker variant that replaces the major 2nd with a flat 2nd, introducing the Neapolitan interval. This creates an even more dissonant, otherworldly quality — the b2 clashing against the major 3rd produces a pungent minor-ninth interval that Scriabin used in his later, increasingly abstract works. The scale is rarely used in popular music but offers a powerful tool for composers seeking extreme harmonic tension.

8. Guitar Fingering Advantage

Symmetric scales offer a unique advantage on guitar that does not exist on piano or most other instruments. Because the guitar fretboard is laid out in half steps along each string, a scale with a repeating interval pattern produces repeating fingering shapes across the neck.

For the Whole Tone scale, the pattern repeats every 2 frets. For the diminished scales, it repeats every 3 frets. For the augmented scale, every 4 frets. This means that instead of learning 5 or 7 different positions (as you would for a major scale), you learn one shape and shift it. The entire fretboard becomes a series of identical windows.

This geometric regularity is why many guitarists find symmetric scales easier to play at speed than conventional scales — once the pattern is internalized, the entire neck opens up without positional shifts. Combine this with the arpeggio tool to connect symmetric scale runs with chord tones for fluid, harmonically aware soloing.

Tools to Explore Symmetric Scales

• Guitar Scales — interactive fretboard diagrams for every scale
• Whole Tone Scale — fretboard diagram and positions
• Diminished Scale — fretboard diagram and positions
• Scale Harmonizer — find chords that fit symmetric scales
• Guitar Arpeggios — connect scales with chord tones
• Scales Beyond Major — modes, exotic and symmetrical overview