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# (also written Gb)
Scale
Diminished (whole-half)
Type
symmetric
Notes
F# G# A B C D 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 · F# C# G# D# A# E#
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
1F#0Perfect unisontonic
2G#2Major second
b3A3Minor third
4B5Perfect fourth
b5C6Tritone
b6D8Minor sixth
6D#9Major sixth
7E#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 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 2. 20 notes of the scale inside this window.

String01234
1st (highest) string E4FF#G#
2nd string B3BCDD#
3rd string G3G#AB
4th string D3DD#FF#
5th string A2ABC
6th string E2FF#G#

Position 2

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

String23456
1st (highest) string E4F#G#A
2nd string B3DD#F
3rd string G3ABC
4th string D3FF#G#
5th string A2BCDD#
6th string E2F#G#A

Position 3

Root on the 2nd string B3 at fret 7. 19 notes of the scale inside this window.

String56789
1st (highest) string E4ABC
2nd string B3FF#G#
3rd string G3CDD#
4th string D3G#AB
5th string A2DD#FF#
6th string E2ABC

Position 4

Root on the 5th string A2 at fret 9. 21 notes of the scale inside this window.

String7891011
1st (highest) string E4BCDD#
2nd string B3F#G#A
3rd string G3DD#FF#
4th string D3ABC
5th string A2FF#G#
6th string E2BCDD#

Position 5

Root on the 3rd string G3 at fret 11. 20 notes of the scale inside this window.

String910111213
1st (highest) string E4DD#F
2nd string B3G#ABC
3rd string G3FF#G#
4th string D3BCDD#
5th string A2F#G#A
6th string E2DD#F

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

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