Construction
| Note | Interval | Degree |
|---|---|---|
| D | Root | 1 |
| F | Minor 3rd | ♭3 |
| A | Perfect 5th | 5 |
| C♯ | Major 7th | 7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| D | white | thumb (1) | little finger (5) |
| F | white | index finger (2) | middle finger (3) |
| A | white | middle finger (3) | index finger (2) |
| C♯ | black | little finger (5) | thumb (1) |
Right hand: thumb (1) on D, index finger (2) on F, middle finger (3) on A, little finger (5) on C♯.
Left hand: little finger (5) on D, middle finger (3) on F, index finger (2) on A, thumb (1) on C♯.
D Minor Major 7th Inversions
- Root positionD – F – A – C♯
- 1st inversion (Dm(maj7)/F)F – A – C♯ – D
- 2nd inversion (Dm(maj7)/A)A – C♯ – D – F
- 3rd inversion (Dm(maj7)/C♯)C♯ – D – F – A
Key Signature
A chord has no key signature of its own, but the D Minor Major 7th is the tonic (i) chord of D Minor, which shares the signature of its relative major, F Major: 1 flat (B♭).
Order of flats
Flats are added in a fixed order — the reverse of the sharp order. Each new flat key adds the next flat on the list.
Mnemonic: Battle Ends And Down Goes Charles’ Father
Chords in the Key of D Minor
These are the triads built on each degree of D Minor:
Looking for Dm7? See the D minor 7th piano chord.
D Minor Major 7th : Frequently Asked Questions
What notes are in DmMaj7?
How do you play DmMaj7 on piano?
What are the inversions of DmMaj7?
What is the difference between DmMaj7 and Dm?
What is an easy DmMaj7 for small hands?
What are the frequencies of DmMaj7?
What is the set class of DmMaj7?
How do I transpose DmMaj7 to another key?
D Minor Major 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 | D3 F3 A3 C♯4 | 11 | 151 mm | none | identical | |
| Close, first inversion | F3 A3 C♯4 D4 | 9 | 124 mm | none | identical | |
| Close, second inversion | A3 C♯4 D4 F4 | 8 | 110 mm | none | identical | |
| Close, third inversion | C♯4 D4 F4 A4 | 8 | 110 mm | none | identical | |
| Drop 2 | A2 D3 F3 C♯4 | 16 | 220 mm | none | identical | |
| Drop 3 | F2 D3 A3 C♯4 | 20 | 275 mm | none | identical | |
| Drop 2 and 4 | D2 A2 F3 C♯4 | 23 | 316 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 | D2 C♯3 F3 | 15 | 206 mm | omits A | subset | |
| Guide tones, ♭3 and 7 | F3 C♯4 | 8 | 110 mm | omits D and A | subset | |
| Rootless close | F3 A3 C♯4 | 8 | 110 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 | D3, F3, A3, C♯4 | 7 | 11 | 151 mm |
| First inversion: DmMaj7/F | F | F3, A3, C♯4, D4 | 6/5 | 9 | 124 mm |
| Second inversion: DmMaj7/A | A | A3, C♯4, D4, F4 | 4/3 | 8 | 110 mm |
| Third inversion: DmMaj7/C♯ | C♯ | C♯4, D4, F4, 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 |
|---|
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 |
|---|---|---|---|
| Dm | drops C♯ | 1 ♭3 5 | 3 |
| Dmaj7 | F becomes F♯ | 1 3 5 7 | 3 |
| Dm7 | C♯ becomes C | 1 ♭3 5 ♭7 | 3 |
| Dm6 | C♯ becomes B | 1 ♭3 5 6 | 3 |
| Dmaj9 | F becomes F♯, E | 1 3 5 7 9 | 3 |
| Dm9 | C♯ becomes C, E | 1 ♭3 5 ♭7 9 | 3 |
| D | F, C♯ becomes F♯ | 1 3 5 | 2 |
| Ddim | A, C♯ becomes A♭ | 1 ♭3 ♭5 | 2 |
| Dsus2 | F, C♯ becomes E | 1 2 5 | 2 |
| Dsus4 | F, C♯ becomes G | 1 4 5 | 2 |
| D7 | F, C♯ becomes F♯, C | 1 3 5 ♭7 | 2 |
| Dm7♭5 | A, C♯ becomes A♭, C | 1 ♭3 ♭5 ♭7 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| D3 | 50 | 146.83 Hz |
| F3 | 53 | 174.61 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
- {2, 5, 9, 1}
- Normal order
- [1, 2, 5, 9]
- Prime form
- (0148)
- Forte number
- 4-19
- Interval vector
- <101310>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| D to F | Minor third | 3 | 3 |
| D to A | Perfect fifth | 7 | 5 |
| D to C♯ | Major seventh | 11 | 1 |
| F to A | Major third | 4 | 4 |
| F to C♯ | Minor sixth | 8 | 4 |
| 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 minor major 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.