Using Non-Diatonic Scales as Compositional Tools

theorycompositionimprovisationguest

Brett Stine

Guest author: Brett Stine

In this lesson we will discuss 8-note and 9-note non-diatonic scales and how to use them as compositional tools rather than just scales for improvisation. I will show examples that use the diminished scale (Messiaen’s second mode) and Messiaen’s third and fourth modes.

Why compose with these scales?

One reason to investigate and use these scales in a compositional context is to break out of the more traditional chord progressions such as I-IV-V, ii-V-I, iii-VI-ii-V-I, and so on. These are tried and true, used by countless composers in thousands of songs, but other options exist.

One of the fascinating things about non-diatonic scales is that you will often find chord progressions that most traditionalists would consider non-functional harmony, when in fact those progressions are functional to the non-diatonic scale.

For example, if you saw this chord progression:

Cmaj7#11 | Abmaj7#11 | Emaj7#11

You would probably assume each chord was coming from three different major scales, with the keys cycling in major thirds. That is true, but all three chords also exist in C Mode 3 (Messiaen’s third mode). So this progression is in fact functional to C Mode 3 and can be viewed that way when improvising over it.

Things to do

When composing with these scales, look for and think about:

Unusual root movements. Move in cycles of half-steps, whole-steps, minor thirds or major thirds rather than the more traditional fourths and fifths. The intervallic cycles will be dictated by the non-diatonic scale you work with.

A particular voicing, like maj7#11, moved through a cycle of minor thirds or major thirds, as in the example above.

Symmetrical melodic ideas: melodic ideas repeated in cycles of half-steps, minor thirds, major thirds and so on, that stay within a given non-diatonic or symmetrical scale. The intro in Example 1 is a good example of this.

Unique voicings, clusters and intervallic structures rather than the common voicings found in most diatonic scales. For example, in C Mode 3 you can find the voicing C, B, Eb, E, which can be seen as a Cm(maj7) with an added major third, or a Cmaj7 with an added minor third (a #9). Not the most unusual voicing, but not your everyday one either. Experiment and see what you find.

Do not worry about naming voicings or using chord symbols. Many of these will be intervallic structures and clusters, and naming them can be difficult. Often no commonly used chord symbol will effectively represent the sound. Instead, much like Holdsworth, I have started writing the scale I am working with above the staff. For example, my symbols for Messiaen’s seven modes are MM1, MM2, MM3, and so on.

Scale 1 of 4Using Non-Diatonic Scales as Compositional Tools
Switch scales with the pills, the arrows, or when the console is focused.

No 1 G Half-Whole Diminished (Messiaen M2)

Notes: G Ab Bb B C# D E F 1 – b2 – b3 – 3 – #4 – 5 – 6 – b7

G Half-Whole Diminished (Messiaen M2) scale, full-neck fretboard diagram, Fretly rendering

Used in Example 1: symmetrical melodic ideas, clusters and intervallic structures found within the diminished scale, along with more common compositional tools such as counterpoint.

Explore G Half-Whole Diminished (Messiaen M2) in Fretly

Backing tracks

Jam this scale over these. They open on the track page.

G Half-Whole Diminished (Messiaen M2) scale circle diagram, Fretly rendering

Triads

GG, B, D GmG, Bb, D GdimG, Bb, Db AbdimAb, B, D BbBb, D, F BbmBb, Db, F BbdimBb, Db, E BdimB, D, F DbDb, F, Ab DbmDb, E, Ab DbdimDb, E, G DdimD, F, Ab EE, G#, B EmE, G, B EdimE, G, Bb FdimF, Ab, B

Seventh chords

G7G, B, D, F Gm7G, Bb, D, F Gm7b5G, Bb, Db, F Gdim7G, Bb, Db, E G7b5G, B, Db, F G6G, B, D, E Gm6G, Bb, D, E Abdim7Ab, B, D, F Bb7Bb, D, F, Ab Bbm7Bb, Db, F, Ab Bbm7b5Bb, Db, E, Ab Bbdim7Bb, Db, E, G Bb7b5Bb, D, E, Ab Bb6Bb, D, F, G Bbm6Bb, Db, F, G Bdim7B, D, F, Ab Db7Db, F, Ab, B Dbm7Db, E, Ab, B

14 more

This scale holds many more chords than these, with extensions, inversions and every voicing on the neck. Find them all in Fretly

No 2 C Mode 3 (Messiaen M3)

Notes: C D Eb E F# G Ab Bb B 1 – 2 – b3 – 3 – #4 – 5 – b6 – b7 – 7

C Mode 3 (Messiaen M3) scale, full-neck fretboard diagram, Fretly rendering

Used in Example 2: the whole progression is functional to C Mode 3 and can be viewed that way when improvising over it. In C Mode 3 you can find the voicing C–B–Eb–E: a Cm(maj7) with an added major third, or a Cmaj7 with an added minor third (a #9).

Explore C Mode 3 (Messiaen M3) in Fretly

Backing tracks

Jam this scale over these. They open on the track page.

C Mode 3 (Messiaen M3) scale circle diagram, Fretly rendering

Triads

CC, E, G CmC, Eb, G CdimC, Eb, Gb C+C, E, G# Csus2C, D, G D+D, F#, A# EbEb, G, Bb EbmEb, Gb, Bb Eb+Eb, G, B Ebsus4Eb, Ab, Bb EE, G#, B EmE, G, B EdimE, G, Bb E+E, G#, C Esus2E, F#, B Gb+Gb, Bb, D GG, B, D GmG, Bb, D

12 more

Seventh chords

Cmaj7C, E, G, B C7C, E, G, Bb Cm7C, Eb, G, Bb Cm7b5C, Eb, Gb, Bb CmMaj7C, Eb, G, B C7#5C, E, G#, Bb Cmaj7#5C, E, G#, B C7b5C, E, Gb, Bb Cmaj7b5C, E, Gb, B D7#5D, F#, A#, C D7b5D, F#, Ab, C Ebmaj7Eb, G, Bb, D EbmMaj7Eb, Gb, Bb, D Ebmaj7#5Eb, G, B, D Eb6Eb, G, Bb, C Ebm6Eb, Gb, Bb, C Ebmaj7sus4Eb, Ab, Bb, D Emaj7E, G#, B, D#

33 more

This scale holds many more chords than these, with extensions, inversions and every voicing on the neck. Find them all in Fretly

No 3 C Mode 4 (Messiaen M4)

Notes: C Db D F F# G Ab B 1 – b2 – 2 – 4 – #4 – 5 – b6 – 7

C Mode 4 (Messiaen M4) scale, full-neck fretboard diagram, Fretly rendering

Used in Example 3: intervallic structure and unusual voicings found in C Mode 3 and C and Eb Mode 4, and an example of using various scales to create modulations.

Explore C Mode 4 (Messiaen M4) in Fretly

Backing tracks

Jam this scale over these. They open on the track page.

C Mode 4 (Messiaen M4) scale circle diagram, Fretly rendering

Triads

Csus2C, D, G Csus4C, F, G DbDb, F, Ab Dbsus4Db, Gb, Ab DdimD, F, Ab FmF, Ab, C FdimF, Ab, B Fsus2F, G, C Gbsus2Gb, Ab, Db Gbsus4Gb, B, Db GG, B, D Gsus4G, C, D AbdimAb, B, D BmB, D, F# BdimB, D, F Bsus2B, C#, F#

Seventh chords

Cmaj7sus4C, F, G, B Dbmaj7Db, F, Ab, C Db7Db, F, Ab, B Db7b5Db, F, G, B Dbmaj7b5Db, F, G, C Db7sus4Db, Gb, Ab, B Dbmaj7sus4Db, Gb, Ab, C Dm7b5D, F, Ab, C Ddim7D, F, Ab, B D7b5D, F#, Ab, C Dmaj7b5D, F#, Ab, C# Fdim7F, Ab, B, D Fm6F, Ab, C, D Gbmaj7sus4Gb, B, Db, F Gmaj7G, B, D, F# G7G, B, D, F G7b5G, B, Db, F Gmaj7b5G, B, Db, F#

8 more

This scale holds many more chords than these, with extensions, inversions and every voicing on the neck. Find them all in Fretly

No 4 Eb Mode 4 (Messiaen M4)

Notes: Eb Fb F Ab A Bb Cb D 1 – b2 – 2 – 4 – #4 – 5 – b6 – 7

Eb Mode 4 (Messiaen M4) scale, full-neck fretboard diagram, Fretly rendering

The same Mode 4 structure transposed to Eb, paired with C Mode 4 in Example 3 to create the modulation.

Explore Eb Mode 4 (Messiaen M4) in Fretly

Backing tracks

Jam this scale over these. They open on the track page.

Eb Mode 4 (Messiaen M4) scale circle diagram, Fretly rendering

Triads

Ebsus2Eb, F, Bb Ebsus4Eb, Ab, Bb EE, G#, B Esus4E, A, B FdimF, Ab, B AbmAb, B, Eb AbdimAb, B, D Absus2Ab, Bb, Eb Asus2A, B, E Asus4A, D, E BbBb, D, F Bbsus4Bb, Eb, F BdimB, D, F DmD, F, A DdimD, F, Ab Dsus2D, E, A

Seventh chords

Ebmaj7sus4Eb, Ab, Bb, D Emaj7E, G#, B, D# E7E, G#, B, D E7b5E, G#, Bb, D Emaj7b5E, G#, Bb, D# E7sus4E, A, B, D Emaj7sus4E, A, B, D# Fm7b5F, Ab, B, Eb Fdim7F, Ab, B, D F7b5F, A, B, Eb Fmaj7b5F, A, B, E Abdim7Ab, B, D, F Abm6Ab, B, Eb, F Amaj7sus4A, D, E, G# Bbmaj7Bb, D, F, A Bb7Bb, D, F, Ab Bb7b5Bb, D, E, Ab Bbmaj7b5Bb, D, E, A

8 more

This scale holds many more chords than these, with extensions, inversions and every voicing on the neck. Find them all in Fretly

Examples

Below are examples of tunes or sections of tunes I have written using these approaches.

Example 1: “G H.W. Diminished”

A tune I dedicated to Allan after he passed away. I had written it days before, and his music very much inspired it. In it I tried to use symmetrical melodic ideas, clusters and intervallic structures found within the diminished scale, along with more common compositional tools such as counterpoint.

Brett Stine, Example 1

Watch Example 1 on YouTube →

Example 2: “C Mode 3”

A solo section of a tune that uses C Mode 3. The first half of the section uses much modulation until this point. Here I wanted to give the illusion of a lot of chordal movement while staying in one specific scale for six to eight bars, using unusual voicings and root movements. Again I was not concerned with naming the voicings; I simply put “C Mode 3” above the staff.

Brett Stine, Example 2

Example 3: “C Mode 3 and 4”

The head of a tune, using intervallic structure and unusual voicings found in C Mode 3 and C and Eb Mode 4. It is also an example of how you can use various scales to create modulations.

Brett Stine, Example 3

A few other things to keep in mind: songs written this way tend to be more like classical pieces, with much less room for interpretation in the head of the tune, unlike a jazz standard where you might use completely different voicings and rhythms each time. Holdsworth composed very much this way. The heads of his songs are played very close to the same every time, while the solo sections are more open.

These scales also tend to lead you in unexpected directions, so composing this way enables movements, modulations and voicings you otherwise would not have found. I have thought to myself many times: if I had not been thinking about this scale, I do not think I would ever have thought to do that.

Well, that is all for now. I hope you got something out of it. Until next time.


Guest author Brett Stine is a prolific guitarist and teacher, and the author of “In the Mystery”, a definitive and authorised work on the style and approach of Allan Holdsworth. Visit Brett’s website and his YouTube channel, and check out his cover of Allan’s solo on “The Drums Were Yellow”.

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