Half-Whole Diminished Scale aka Dominant Diminished
The half-whole diminished scale or dominant diminished scale is symmetric.
As its name implies, it is built by alternating half-steps and whole-steps.
It is simply the opposite of the diminished scale (whole half) shown before in this web page.
The formula is 1 - b9 -#9 -3 - #11 (or b5) - 5 - 13 (6) - b7.
The half-whole diminished scale is widely used by jazz musicians to solo over dominant 7th chords, particularly 7b9 chords.
It can bring interesting tensions in your playing by highlighting the b9, #9 and #11.
It sounds great on the V of a major or minor II-V-I progression or the VIb9 of a I-VI-II-V progression that can be found into rhythm changes or jazz-blues tunes.
Here are the three main scales :
| C dominant diminished scale |
C |
Db |
Eb |
E |
F# |
G |
A |
Bb |
| C# dominant diminished scale |
C# |
D |
E |
F |
G |
Ab |
Bb |
B |
| D dominant diminished scale |
D |
Eb |
F |
Gb |
Ab |
A |
B |
C |
| Formula |
1 |
b9 |
#9 |
3 |
#11 or b5 |
5 |
13 (6) |
b7 |
The C dominant diminished scale is made up of the same notes as the Eb, F# and A dominant diminished scales, as the C# contains the same notes as E, G and Bb.
The D dominant diminished scale has the same notes as the F, Ab and B half-whole scale. That's the symmetry.
To understand the symmetry, it is interesting to compare the two modes of the diminished scale:
| C diminished scale |
C |
Db |
Eb |
E |
F# |
G |
A |
Bb |
|
| Intervals |
H |
W |
H |
W |
H |
W |
H |
W |
H |
| Db dominant diminished scale |
|
Db |
Eb |
E |
F# |
G |
A |
Bb |
C |
H = Half step - W = whole step
As it is shown in the previous chart, these two modes have the same notes.