My Guitar Notes

Ab diminished (whole-half) scale

Eight notes alternating whole steps and half steps, beginning with a whole step. It is a rotation of the half-whole form, and there are likewise only three distinct forms.

Root
Ab (also written G#)
Scale
Diminished (whole-half)
Type
symmetric
Notes
Ab Bb Cb Db Ebb Fb F G
Notes in the scale
8
Degree formula
1 2 b3 4 b5 b6 6 7
Semitones from the root
0 2 3 5 6 8 9 11
Step pattern
W H W H W H W H
Aliases
Octatonic W-H, Whole-half diminished
Key signature of this root
Ab major / F minor · Bb Eb Ab Db
Written use
Named 1 2 b3 4 b5 b6 6 7. The natural scale over a diminished seventh chord, and a source of tension over a dominant chord with altered upper extensions.

Notes and degrees

Each degree of the scale, its note name in this key, and its distance from the root in semitones.

DegreeNoteSemitonesInterval from the root
1Ab0Perfect unisontonic
2Bb2Major second
b3Cb3Minor third
4Db5Perfect fourth
b5Ebb6Tritone
b6Fb8Minor sixth
6F9Major sixth
7G11Major seventh

Positions on the guitar

The five windows below are computed, not copied from a shape chart. The script locates the lowest occurrence of Ab on each of the five upper strings within the first twelve frets and takes a five-fret window centred on it. Because a scale repeats every twelve frets, these five windows cover the whole neck; the same sequence returns an octave higher. The positions are numbered from the lowest fret upwards, so position 1 is always the window nearest the nut and position 5 the window nearest the twelfth fret.

Position 1

Root on the 3rd string G3 at fret 1. 17 notes of the scale inside this window.

String0123
1st (highest) string E4EFG
2nd string B3BDbD
3rd string G3GAbBb
4th string D3DEF
5th string A2BbB
6th string E2EFG

Position 2

Root on the 6th string E2 at fret 4. 20 notes of the scale inside this window.

String23456
1st (highest) string E4GAbBb
2nd string B3DbDEF
3rd string G3BbBDb
4th string D3EFGAb
5th string A2BDbD
6th string E2GAbBb

Position 3

Root on the 4th string D3 at fret 6. 19 notes of the scale inside this window.

String45678
1st (highest) string E4AbBbB
2nd string B3EFG
3rd string G3BDbD
4th string D3GAbBb
5th string A2DbDEF
6th string E2AbBbB

Position 4

Root on the 2nd string B3 at fret 9. 19 notes of the scale inside this window.

String7891011
1st (highest) string E4BDbD
2nd string B3GAbBb
3rd string G3DEF
4th string D3BbBDb
5th string A2EFGAb
6th string E2BDbD

Position 5

Root on the 5th string A2 at fret 11. 21 notes of the scale inside this window.

String910111213
1st (highest) string E4DbDEF
2nd string B3AbBbB
3rd string G3EFGAb
4th string D3BDbD
5th string A2GAbBb
6th string E2DbDEF

Read the grid as a chord diagram: the top row is the first string. Degrees appear in the notes and degrees table above; a filled cell is a note of the scale, and the shaded cell is the tonic.

Related keys and modes

Related