Construction
| Note | Interval | Degree |
|---|---|---|
| D♯ | Root | 1 |
| F♯ | Minor 3rd | ♭3 |
| A | Diminished 5th | ♭5 |
| C♯ | Minor 7th | ♭7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| D♯ | black | index finger (2) | little finger (5) |
| F♯ | black | 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♯ Half Diminished Inversions
- Root positionD♯ – F♯ – A – C♯
- 1st inversion (D♯m7♭5/F♯)F♯ – A – C♯ – D♯
- 2nd inversion (D♯m7♭5/A)A – C♯ – D♯ – F♯
- 3rd inversion (D♯m7♭5/C♯)C♯ – D♯ – F♯ – A
Key Signature
A Half Diminished 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:
How D♯ Half Diminished functions in a key
The same chord takes on a different harmonic role depending on the key it appears in. Here is where D♯ Half Diminished sits diatonically across the common keys:
- In E major, D♯ Half Diminished is the vii° chord — the dominant.
- In C♯ minor, D♯ Half Diminished is the ii° chord — a predominant.
Scales That Include the D♯ Half Diminished
- E Major (vii⦰7)
- C# Minor (ii⦰7)
- F# Dorian (vi°)
- G# Phrygian (v°)
- A Lydian (#iv°)
- B Mixolydian (iii°)
- C# Aeolian (ii°)
- D# Locrian (i°)
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♯ Half Diminished : Frequently Asked Questions
What is the D♯ Half Diminished chord on piano?
What is the D# piano chord?
What notes are in the D# Half Diminished chord?
How is the D# Half Diminished chord used in music?
What is the fingering for D# Half Diminished?
What are the inversions of D# Half Diminished?
What is the ii-V-i progression with D# Half Diminished?
D♯ Half 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 A3 C♯4 | 10 | 138 mm | none | identical | |
| Close, first inversion | F♯3 A3 C♯4 D♯4 | 9 | 124 mm | none | identical | |
| Close, second inversion | A3 C♯4 D♯4 F♯4 | 9 | 124 mm | none | identical | |
| Close, third inversion | C♯4 D♯4 F♯4 A4 | 8 | 110 mm | none | identical | |
| Drop 2 | A2 D♯3 F♯3 C♯4 | 16 | 220 mm | none | identical | |
| Drop 3 | F♯2 D♯3 A3 C♯4 | 19 | 261 mm | none | identical | |
| Drop 2 and 4 | D♯2 A2 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 | 15 | 206 mm | omits A | subset | |
| Guide tones, ♭3 and ♭7 | F♯3 C♯4 | 7 | 96 mm | omits D♯ and A | subset | |
| Rootless close | F♯3 A3 C♯4 | 7 | 96 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, A3, C♯4 | 7 | 10 | 138 mm |
| First inversion: D♯m7♭5/F♯ | F♯ | F♯3, A3, C♯4, D♯4 | 6/5 | 9 | 124 mm |
| Second inversion: D♯m7♭5/A | A | A3, C♯4, D♯4, F♯4 | 4/3 | 9 | 124 mm |
| Third inversion: D♯m7♭5/C♯ | C♯ | C♯4, D♯4, F♯4, A4 | 4/2 | 8 | 110 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 |
|---|---|---|---|---|
| ii, v, i | C♯ minor | iim7♭5 | D♯m7♭5 to G♯m7 to C♯m7 | D♯m7♭5 opens the phrase |
| vii, I | E major | viim7♭5 | D♯m7♭5 to Emaj7 | D♯m7♭5 opens the phrase |
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Which keys it belongs to
| Key | Roman numeral | Function |
|---|---|---|
| C♯ minor | iim7♭5 | Predominant |
| E major | viim7♭5 | Dominant function |
Classification system: 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 | A becomes A♯ | 1 ♭3 5 ♭7 | 3 |
| D♯dim7 | C♯ becomes C | 1 ♭3 ♭5 ♭♭7 | 3 |
| D♯m9 | A becomes A♯, E♯ | 1 ♭3 5 ♭7 9 | 3 |
| D♯m | A, C♯ becomes A♯ | 1 ♭3 5 | 2 |
| D♯7 | F♯, A becomes F×, A♯ | 1 3 5 ♭7 | 2 |
| D♯mMaj7 | A, C♯ becomes A♯, C× | 1 ♭3 5 7 | 2 |
| D♯aug7 | F♯, A becomes F×, A× | 1 3 ♯5 ♭7 | 2 |
| D♯7sus4 | F♯, A becomes G♯, A♯ | 1 4 5 ♭7 | 2 |
| D♯m6 | A, C♯ becomes A♯, B♯ | 1 ♭3 5 6 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| D♯3 | 51 | 155.56 Hz |
| F♯3 | 54 | 185.00 Hz |
| A3 | 57 | 220.00 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, 6, 9, 1}
- Normal order
- [1, 3, 6, 9]
- Prime form
- (0258)
- Forte number
- 4-27
- Interval vector
- <012111>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| D♯ to F♯ | Minor third | 3 | 3 |
| D♯ to A | Tritone | 6 | 6 |
| D♯ to C♯ | Minor seventh | 10 | 2 |
| F♯ to A | Minor third | 3 | 3 |
| F♯ to C♯ | Perfect fifth | 7 | 5 |
| A to C♯ | Major third | 4 | 4 |
Where these facts come from
Every value on this page is derived from the note formula for a half 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.