My Guitar Notes

F 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
F
Scale
Diminished (whole-half)
Type
symmetric
Notes
F G Ab Bb Cb Db D E
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
F major / D minor · Bb
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
1F0Perfect unisontonic
2G2Major second
b3Ab3Minor third
4Bb5Perfect fourth
b5Cb6Tritone
b6Db8Minor sixth
6D9Major sixth
7E11Major seventh

Positions on the guitar

The five windows below are computed, not copied from a shape chart. The script locates the lowest occurrence of F 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 6th string E2 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 4th string D3 at fret 3. 19 notes of the scale inside this window.

String12345
1st (highest) string E4FGAb
2nd string B3DbDE
3rd string G3AbBbB
4th string D3EFG
5th string A2BbBDbD
6th string E2FGAb

Position 3

Root on the 2nd string B3 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 5th string A2 at fret 8. 21 notes of the scale inside this window.

String678910
1st (highest) string E4BbBDbD
2nd string B3FGAb
3rd string G3DbDEF
4th string D3AbBbB
5th string A2EFG
6th string E2BbBDbD

Position 5

Root on the 3rd string G3 at fret 10. 20 notes of the scale inside this window.

String89101112
1st (highest) string E4DbDE
2nd string B3GAbBbB
3rd string G3EFG
4th string D3BbBDbD
5th string A2FGAb
6th string E2DbDE

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