My Guitar Notes

F 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
F
Scale
Diminished (half-whole)
Type
symmetric
Notes
F Gb Ab A B C D Eb
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
F major / D minor · Bb
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
1F0Perfect unisontonic
b2Gb1Minor second
b3Ab3Minor third
3A4Major third
#4B6Tritone
5C7Perfect fifth
6D9Major sixth
b7Eb10Minor 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. 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 4th string D3 at fret 3. 21 notes of the scale inside this window.

String12345
1st (highest) string E4FGbAbA
2nd string B3CDEb
3rd string G3AbABC
4th string D3EbFGb
5th string A2BCD
6th string E2FGbAbA

Position 3

Root on the 2nd string B3 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 5th string A2 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 3rd string G3 at fret 10. 19 notes of the scale inside this window.

String89101112
1st (highest) string E4CDEb
2nd string B3AbAB
3rd string G3EbFGb
4th string D3BCD
5th string A2FGbAbA
6th string E2CDEb

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