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Db Diminished (Half-Whole) · Displayed in: Db · 8-note symmetric diminished scale starting with half step · Tones: Db, Ebb, E, F, G, Ab · Aliases: Diminished (Half–Whole), Octatonic (Half–Whole)
Db Diminished (Half-Whole) · Displayed in: Db · 8-note symmetric diminished scale starting with half step · Tones: Db, Ebb, E, F, G, Ab · Aliases: Diminished (Half–Whole), Octatonic (Half–Whole)
Db Diminished (Half-Whole) · Displayed in: Db · 8-note symmetric diminished scale starting with half step · Tones: Db, Ebb, E, F, G, Ab · Aliases: Diminished (Half–Whole), Octatonic (Half–Whole)
Chord and Scale
Type key + scale (e.g. C Major, F Dorian)
Db Diminished (Half-Whole): Db, Ebb, E, F, G, Ab, Bb, Cb
Db Diminished (Half-Whole) · Scale · Db · 8 Tones
Network of this chord or scale with contain / contained-in relations.
Type key + scale (e.g. C Major, F Dorian)
Diatonic triads and seventh chords built by stacking every other degree of this scale.
| Degree |
Triad
|
Seventh
|
Tones | Interval |
|---|---|---|---|---|
| I |
i° · Db dim
dim
|
i°7 · Db dim7
dim7
|
Db, E, G
Db, E, G, Bb
|
3, 6
3, 6, 9
|
| II |
ii° · Ebb dim
dim
|
ii°7 · Ebb dim7
dim7
|
Ebb, F, Ab
Ebb, F, Ab, Cb
|
3, 6
3, 6, 9
|
| III |
iii° · E dim
dim
|
iii°7 · E dim7
dim7
|
E, G, Bb
E, G, Bb, Db
|
3, 6
3, 6, 9
|
| IV |
iv° · F dim
dim
|
iv°7 · F dim7
dim7
|
F, Ab, Cb
F, Ab, Cb, Ebb
|
3, 6
3, 6, 9
|
| V |
v° · G dim
dim
|
v°7 · G dim7
dim7
|
G, Bb, Db
G, Bb, Db, E
|
3, 6
3, 6, 9
|
| VI |
vi° · Ab dim
dim
|
vi°7 · Ab dim7
dim7
|
Ab, Cb, Ebb
Ab, Cb, Ebb, F
|
3, 6
3, 6, 9
|
| VII |
vii° · Bb dim
dim
|
vii°7 · Bb dim7
dim7
|
Bb, Db, E
Bb, Db, E, G
|
3, 6
3, 6, 9
|
| VIII |
viii° · Cb dim
dim
|
viii°7 · Cb dim7
dim7
|
Cb, Ebb, F
Cb, Ebb, F, Ab
|
3, 6
3, 6, 9
|
This set has 8 pitch classes, 8 close/tritone pressure points and 16 consonant-support intervals; average heuristic score: -0.29.
| Interval | Count | Weight | Contribution |
|---|---|---|---|
| m2 / M7 | 4 | -5 | -20 |
| M2 / m7 | 4 | -2 | -8 |
| m3 / M6 | 8 | +2 | +16 |
| M3 / m6 | 4 | +2 | +8 |
| P4 / P5 | 4 | +3 | +12 |
| Tritone | 4 | -4 | -16 |
| Target | Shared tones | Pivot | Voice-leading | Δ consonance | Bridge score |
|---|---|---|---|---|---|
|
Db 13#9#11
Chord
Smooth pivot
|
Ebb, F, 5, Ab, 8, Cb, 11 | Ebb, F, 5, Ab | 0.06 | 0.00 | 4.72 |
|
Db 13b9#11
Chord
Smooth pivot
|
Ebb, 2, 5, Ab, 8, Cb, 11 | Ebb, 2, 5, Ab | 0.06 | 0.00 | 4.72 |
|
E 13#9#11
Chord
Smooth pivot
|
Ebb, 2, F, Ab, 8, Cb, 11 | Ebb, 2, F, Ab | 0.06 | 0.00 | 4.72 |
|
E 13b9#11
Chord
Smooth pivot
|
Ebb, 2, F, 5, 8, Cb, 11 | Ebb, 2, F, 5 | 0.06 | 0.00 | 4.72 |
|
G 13#9#11
Chord
Smooth pivot
|
Ebb, 2, F, 5, Ab, Cb, 11 | Ebb, 2, F, 5 | 0.06 | 0.00 | 4.72 |
|
G 13b9#11
Chord
Smooth pivot
|
Ebb, 2, F, 5, Ab, 8, 11 | Ebb, 2, F, 5 | 0.06 | 0.00 | 4.72 |
|
Bb 13#9#11
Chord
Smooth pivot
|
Ebb, 2, F, 5, Ab, 8, Cb | Ebb, 2, F, 5 | 0.06 | 0.00 | 4.72 |
|
Bb 13b9#11
Chord
Smooth pivot
|
2, F, 5, Ab, 8, Cb, 11 | 2, F, 5, Ab | 0.06 | 0.00 | 4.72 |
|
C Spanish 8-tone
Scale
Smooth pivot
|
Ebb, 2, F, 5, Ab, 8, Cb | Ebb, 2, F, 5 | 0.13 | 0.11 | 4.55 |
|
D Barry Harris Minor 6 Diminished
Scale
Smooth pivot
|
Ebb, 2, F, 5, Ab, 8, 11 | Ebb, 2, F, 5 | 0.13 | 0.11 | 4.55 |
|
Eb Spanish 8-tone
Scale
Smooth pivot
|
Ebb, F, 5, Ab, 8, Cb, 11 | Ebb, F, 5, Ab | 0.13 | 0.11 | 4.55 |
|
F Barry Harris Minor 6 Diminished
Scale
Smooth pivot
|
2, F, 5, Ab, 8, Cb, 11 | 2, F, 5, Ab | 0.13 | 0.11 | 4.55 |
Records chord/scale plays and global output tone groups (tones + intervals only).
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