My Guitar Notes

G diminished (half-whole) scale

Eight notes alternating half steps and whole steps, beginning with a half step. Because the pattern has a period of three semitones there are only three distinct forms, and any form contains the notes of a diminished seventh chord.

Root
G
Scale
Diminished (half-whole)
Type
symmetric
Notes
G Ab Bb B C# D E F
Notes in the scale
8
Degree formula
1 b2 b3 3 #4 5 6 b7
Semitones from the root
0 1 3 4 6 7 9 10
Step pattern
H W H W H W H W
Aliases
Octatonic H-W, Half-whole diminished
Key signature of this root
G major / E minor · F#
Written use
Named 1 b2 b3 3 #4 5 6 b7. The usual scale over an unaltered dominant seventh chord, especially one that resolves to a minor chord.

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
b2Ab1Minor second
b3Bb3Minor third
3B4Major third
#4C#6Tritone
5D7Perfect fifth
6E9Major sixth
b7F10Minor 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 B3BC#
3rd string G3GG#
4th string D3DE
5th string A2A#B
6th string E2EF

Position 2

Root on the 6th string E2 at fret 3. 19 notes of the scale inside this window.

String12345
1st (highest) string E4FGG#
2nd string B3C#DE
3rd string G3G#A#B
4th string D3EFG
5th string A2A#BC#D
6th string E2FGG#

Position 3

Root on the 4th string D3 at fret 5. 21 notes of the scale inside this window.

String34567
1st (highest) string E4GG#A#B
2nd string B3DEF
3rd string G3A#BC#D
4th string D3FGG#
5th string A2C#DE
6th string E2GG#A#B

Position 4

Root on the 2nd string B3 at fret 8. 21 notes of the scale inside this window.

String678910
1st (highest) string E4A#BC#D
2nd string B3FGG#
3rd string G3C#DEF
4th string D3G#A#B
5th string A2EFG
6th string E2A#BC#D

Position 5

Root on the 5th string A2 at fret 10. 20 notes of the scale inside this window.

String89101112
1st (highest) string E4C#DE
2nd string B3GG#A#B
3rd string G3EFG
4th string D3A#BC#D
5th string A2FGG#
6th string E2C#DE

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