Construction
| Note | Interval | Degree |
|---|---|---|
| D♯ | Root | 1 |
| F♯♯ | Major 3rd | 3 |
| A♯♯ | Minor 6th | ♯5 |
| C♯ | Minor 7th | ♭7 |
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♯ Augmented 7th Inversions
- Root positionD♯ – F♯♯ – A♯♯ – C♯
- 1st inversion (D♯aug7/F♯♯)F♯♯ – A♯♯ – C♯ – D♯
- 2nd inversion (D♯aug7/A♯♯)A♯♯ – C♯ – D♯ – F♯♯
- 3rd inversion (D♯aug7/C♯)C♯ – D♯ – F♯♯ – A♯♯
Key Signature
A Augmented 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:
D♯ Augmented 7th : Frequently Asked Questions
What is the D♯ Augmented 7th chord on piano?
What is the D# piano chord?
What notes are in the D# Augmented 7th chord?
How is the D# Augmented 7th chord used in music?
What is the fingering for D# Augmented 7th?
What are the inversions of D# Augmented 7th?
D♯ Augmented 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♯4 | 10 | 138 mm | none | identical | |
| Close, first inversion | F×3 A×3 C♯4 D♯4 | 8 | 110 mm | none | identical | |
| Close, second inversion | A×3 C♯4 D♯4 F×4 | 8 | 110 mm | none | identical | |
| Close, third inversion | C♯4 D♯4 F×4 A×4 | 10 | 138 mm | none | identical | |
| Drop 2 | A×2 D♯3 F×3 C♯4 | 14 | 193 mm | none | identical | |
| Drop 3 | F×2 D♯3 A×3 C♯4 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | D♯2 A×2 F×3 C♯4 | 22 | 303 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♯3 F×3 | 16 | 220 mm | omits A× | subset | |
| Guide tones, 3 and ♭7 | F×3 C♯4 | 6 | 83 mm | omits D♯ and A× | subset | |
| Rootless close | F×3 A×3 C♯4 | 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♯4 | 7 | 10 | 138 mm |
| First inversion: D♯aug7/F× | F× | F×3, A×3, C♯4, D♯4 | 6/5 | 8 | 110 mm |
| Second inversion: D♯aug7/A× | A× | A×3, C♯4, D♯4, F×4 | 4/3 | 8 | 110 mm |
| Third inversion: D♯aug7/C♯ | C♯ | C♯4, D♯4, F×4, A×4 | 4/2 | 10 | 138 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♯aug | drops C♯ | 1 3 ♯5 | 3 |
| D♯7 | A× becomes A♯ | 1 3 5 ♭7 | 3 |
| D♯9 | A× becomes A♯, E♯ | 1 3 5 ♭7 9 | 3 |
| D♯ | A×, C♯ becomes A♯ | 1 3 5 | 2 |
| D♯maj7 | A×, C♯ becomes A♯, C× | 1 3 5 7 | 2 |
| D♯m7 | F×, A× becomes F♯, A♯ | 1 ♭3 5 ♭7 | 2 |
| D♯m7♭5 | F×, A× becomes F♯, A | 1 ♭3 ♭5 ♭7 | 2 |
| D♯7sus4 | F×, A× becomes G♯, A♯ | 1 4 5 ♭7 | 2 |
| D♯6 | A×, C♯ becomes A♯, B♯ | 1 3 5 6 | 2 |
| D♯add9 | A×, C♯ becomes A♯, E♯ | 1 3 5 9 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| D♯3 | 51 | 155.56 Hz |
| F×3 | 55 | 196.00 Hz |
| A×3 | 59 | 246.94 Hz |
| C♯4 | 61 | 277.18 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {3, 7, 11, 1}
- Normal order
- [11, 1, 3, 7]
- Prime form
- (0248)
- Forte number
- 4-24
- Interval vector
- <020301>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| D♯ to F× | Major third | 4 | 4 |
| D♯ to A× | Minor sixth | 8 | 4 |
| D♯ to C♯ | Minor seventh | 10 | 2 |
| F× to A× | Major third | 4 | 4 |
| F× to C♯ | Tritone | 6 | 6 |
| A× to C♯ | Major second | 2 | 2 |
Where these facts come from
Every value on this page is derived from the note formula for a augmented 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.