My Guitar Notes

Eb 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
Eb (also written D#)
Scale
Diminished (whole-half)
Type
symmetric
Notes
Eb F Gb Ab Bbb Cb C D
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
Eb major / C minor · Bb Eb Ab
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
1Eb0Perfect unisontonic
2F2Major second
b3Gb3Minor third
4Ab5Perfect fourth
b5Bbb6Tritone
b6Cb8Minor sixth
6C9Major sixth
7D11Major seventh

Positions on the guitar

The five windows below are computed, not copied from a shape chart. The script locates the lowest occurrence of Eb 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 4th string D3 at fret 1. 15 notes of the scale inside this window.

String0123
1st (highest) string E4FGb
2nd string B3BCD
3rd string G3AbA
4th string D3DEbF
5th string A2ABC
6th string E2FGb

Position 2

Root on the 2nd string B3 at fret 4. 19 notes of the scale inside this window.

String23456
1st (highest) string E4GbAbA
2nd string B3DEbF
3rd string G3ABC
4th string D3FGbAb
5th string A2BCDEb
6th string E2GbAbA

Position 3

Root on the 5th string A2 at fret 6. 21 notes of the scale inside this window.

String45678
1st (highest) string E4AbABC
2nd string B3EbFGb
3rd string G3BCDEb
4th string D3GbAbA
5th string A2DEbF
6th string E2AbABC

Position 4

Root on the 3rd string G3 at fret 8. 20 notes of the scale inside this window.

String678910
1st (highest) string E4BCD
2nd string B3FGbAbA
3rd string G3DEbF
4th string D3AbABC
5th string A2EbFGb
6th string E2BCD

Position 5

Root on the 6th string E2 at fret 11. 20 notes of the scale inside this window.

String910111213
1st (highest) string E4DEbF
2nd string B3AbABC
3rd string G3FGbAb
4th string D3BCDEb
5th string A2GbAbA
6th string E2DEbF

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