Construction
| Note | Interval | Degree |
|---|---|---|
| D♭ | Root | 1 |
| F♭ | Minor 3rd | ♭3 |
| A♭♭ | Diminished 5th | ♭5 |
| C♭♭ | Major 6th | 6 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| D♭ | black | index finger (2) | little finger (5) |
| F♭ | white | middle finger (3) | ring finger (4) |
| A♭♭ | white | ring finger (4) | middle finger (3) |
| C♭♭ | black | little finger (5) | index finger (2) |
Right hand: index finger (2) on D♭, middle finger (3) on F♭, ring finger (4) on A♭♭, little finger (5) on C♭♭.
Left hand: little finger (5) on D♭, ring finger (4) on F♭, middle finger (3) on A♭♭, index finger (2) on C♭♭.
D♭ Diminished 7th Inversions
- Root positionD♭ – F♭ – A♭♭ – C♭♭
- 1st inversion (D♭dim7/F♭)F♭ – A♭♭ – C♭♭ – D♭
- 2nd inversion (D♭dim7/A♭♭)A♭♭ – C♭♭ – D♭ – F♭
- 3rd inversion (D♭dim7/C♭♭)C♭♭ – D♭ – F♭ – A♭♭
Key Signature
A Diminished 7th chord is built from symmetrical or ambiguous intervals, so it doesn't belong to a single key and has no key signature of its own.
Chords in the Key of D♭ Major
These are the triads built on each degree of D♭ Major:
Same Notes, Other Names
The notes D♭ – F♭ – A♭♭ – C♭♭ aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell the following:
D♭ Diminished 7th : Frequently Asked Questions
What is the D♭ Diminished 7th chord on piano?
What notes are in the Db Diminished 7th chord?
How does Db Diminished 7th differ from Db Diminished?
Why is the Diminished 7th chord symmetrical?
How is Db Diminished 7th used in music?
What songs use Diminished 7th chords?
How many unique Diminished 7th chords exist?
D♭ Diminished 7th in detail
Exact
Every pitch class is present and nothing outside the chord is added.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Close, root position | D♭3 F♭3 A♭♭3 C♭♭3 | 9 | 124 mm | none | identical | |
| Close, first inversion | F♭3 A♭♭3 C♭♭3 D♭4 | 9 | 124 mm | none | identical | |
| Close, second inversion | A♭♭3 C♭♭3 D♭4 F♭4 | 9 | 124 mm | none | identical | |
| Close, third inversion | C♭♭3 D♭4 F♭4 A♭♭4 | 9 | 124 mm | none | identical | |
| Drop 2 | A♭♭2 D♭3 F♭3 C♭♭3 | 15 | 206 mm | none | identical | |
| Drop 3 | F♭2 D♭3 A♭♭3 C♭♭3 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | D♭2 A♭♭2 F♭3 C♭♭3 | 21 | 289 mm | none | identical |
Reduced
A subset of the pitch classes: the identity is incomplete rather than altered.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Shell, root ♭♭7 ♭3 | D♭2 C♭♭2 F♭3 | 15 | 206 mm | omits A♭♭ | subset | |
| Guide tones, ♭3 and ♭♭7 | F♭3 C♭♭3 | 6 | 83 mm | omits D♭ and A♭♭ | subset | |
| Rootless close | F♭3 A♭♭3 C♭♭3 | 6 | 83 mm | omits D♭ | subset |
Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).
| Position | Bass note | Notes in order | Figured bass | Semitones | Span |
|---|---|---|---|---|---|
| Root position | D♭ | D♭3, F♭3, A♭♭3, C♭♭3 | 7 | 9 | 124 mm |
| First inversion: D♭dim7/F♭ | F♭ | F♭3, A♭♭3, C♭♭3, D♭4 | 6/5 | 9 | 124 mm |
| Second inversion: D♭dim7/A♭♭ | A♭♭ | A♭♭3, C♭♭3, D♭4, F♭4 | 4/3 | 9 | 124 mm |
| Third inversion: D♭dim7/C♭♭ | C♭♭ | C♭♭3, D♭4, F♭4, A♭♭4 | 4/2 | 9 | 124 mm |
One position per chord tone in the bass. Spans are for close position: voiced inversions appear under Voicings.
| Progression | Key | Role | Sequence | Voice leading |
|---|
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Change one note
Chords a single note away, and what moving that note does.
| Chord | Change | Formula | Common tones |
|---|---|---|---|
| D♭dim | drops C♭♭ | 1 ♭3 ♭5 | 3 |
| D♭m7♭5 | C♭♭ becomes C♭ | 1 ♭3 ♭5 ♭7 | 3 |
| D♭m6 | A♭♭ becomes A♭ | 1 ♭3 5 6 | 3 |
| D♭m | A♭♭, C♭♭ becomes A♭ | 1 ♭3 5 | 2 |
| D♭m7 | A♭♭, C♭♭ becomes A♭, C♭ | 1 ♭3 5 ♭7 | 2 |
| D♭mMaj7 | A♭♭, C♭♭ becomes A♭, C | 1 ♭3 5 7 | 2 |
| D♭6 | F♭, A♭♭ becomes F, A♭ | 1 3 5 6 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| D♭3 | 49 | 138.59 Hz |
| F♭3 | 52 | 164.81 Hz |
| A♭♭3 | 55 | 196.00 Hz |
| C♭♭3 | 58 | 233.08 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {1, 4, 7, 10}
- Normal order
- [1, 4, 7, 10]
- Prime form
- (0369)
- Forte number
- 4-28
- Interval vector
- <004002>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| D♭ to F♭ | Minor third | 3 | 3 |
| D♭ to A♭♭ | Tritone | 6 | 6 |
| D♭ to C♭♭ | Major sixth | 9 | 3 |
| F♭ to A♭♭ | Minor third | 3 | 3 |
| F♭ to C♭♭ | Tritone | 6 | 6 |
| A♭♭ to C♭♭ | Minor third | 3 | 3 |
Where these facts come from
Every value on this page is derived from the note formula for a diminished 7th applied to the root D♭, using standard music theory. Nothing here is hand-entered per chord, so the notes, intervals, inversions and frequencies cannot drift out of agreement with each other. Pitches assume 12-TET at A440.