My Guitar Notes

G 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
G
Scale
Diminished (whole-half)
Type
symmetric
Notes
G A Bb C Db Eb E F#
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
G major / E minor · F#
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
1G0Perfect unisontonic
2A2Major second
b3Bb3Minor third
4C5Perfect fourth
b5Db6Tritone
b6Eb8Minor sixth
6E9Major sixth
7F#11Major seventh

Positions on the guitar

The five windows below are computed, not copied from a shape chart. The script locates the lowest occurrence of G 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 0. 12 notes of the scale inside this window.

String012
1st (highest) string E4EF#
2nd string B3CC#
3rd string G3GA
4th string D3D#E
5th string A2AA#
6th string E2EF#

Position 2

Root on the 6th string E2 at fret 3. 20 notes of the scale inside this window.

String12345
1st (highest) string E4F#GA
2nd string B3CC#D#E
3rd string G3AA#C
4th string D3D#EF#G
5th string A2A#CC#
6th string E2F#GA

Position 3

Root on the 4th string D3 at fret 5. 19 notes of the scale inside this window.

String34567
1st (highest) string E4GAA#
2nd string B3D#EF#
3rd string G3A#CC#
4th string D3F#GA
5th string A2CC#D#E
6th string E2GAA#

Position 4

Root on the 2nd string B3 at fret 8. 19 notes of the scale inside this window.

String678910
1st (highest) string E4A#CC#
2nd string B3F#GA
3rd string G3C#D#E
4th string D3AA#C
5th string A2D#EF#G
6th string E2A#CC#

Position 5

Root on the 5th string A2 at fret 10. 21 notes of the scale inside this window.

String89101112
1st (highest) string E4CC#D#E
2nd string B3GAA#
3rd string G3D#EF#G
4th string D3A#CC#
5th string A2F#GA
6th string E2CC#D#E

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