Construction
| Note | Interval | Degree |
|---|---|---|
| D | Root | 1 |
| F♯ | Major 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♯ | black | 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 Major 7th Inversions
- Root positionD – F♯ – A – C♯
- 1st inversion (Dmaj7/F♯)F♯ – A – C♯ – D
- 2nd inversion (Dmaj7/A)A – C♯ – D – F♯
- 3rd inversion (Dmaj7/C♯)C♯ – D – F♯ – A
Key Signature
A chord has no key signature of its own, but the D Major 7th is the tonic (I) chord of D Major, whose key signature has 2 sharps (F♯, C♯).
Order of sharps
Sharps are added to a key signature in a fixed order. Each new sharp key adds the next sharp on the list.
Mnemonic: Father Charles Goes Down And Ends Battle
Chords in the Key of D Major
These are the triads built on each degree of D Major:
How D Major 7th functions in a key
The same chord takes on a different harmonic role depending on the key it appears in. Here is where D Major 7th sits diatonically across the common keys:
- In D major, D Major 7th is the I chord — the tonic.
- In F♯ minor, D Major 7th is the VI chord — the tonic.
- In A major, D Major 7th is the IV chord — a predominant.
- In B minor, D Major 7th is the III chord — a mediant / color chord.
Scales That Include the D Major 7th
- D Major (Imaj7)
- A Major (IVmaj7)
- B Minor (♭IIImaj7)
- F# Minor (♭VImaj7)
- E Dorian (VII)
- F# Phrygian (VI)
- G Lydian (V)
- A Mixolydian (IV)
D Major 7th : Frequently Asked Questions
What is the D Major 7th chord on piano?
What notes are in the D Major 7th chord?
How does D Major 7th differ from D Dominant 7th?
How is D Major 7th used in music?
What genres commonly use Major 7th chords?
What songs use Major 7th chords?
Can I substitute D Major 7th for D Major?
D 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 F♯3 A3 C♯4 | 11 | 151 mm | none | identical | |
| Close, first inversion | F♯3 A3 C♯4 D4 | 8 | 110 mm | none | identical | |
| Close, second inversion | A3 C♯4 D4 F♯4 | 9 | 124 mm | none | identical | |
| Close, third inversion | C♯4 D4 F♯4 A4 | 8 | 110 mm | none | identical | |
| Drop 2 | A2 D3 F♯3 C♯4 | 16 | 220 mm | none | identical | |
| Drop 3 | F♯2 D3 A3 C♯4 | 19 | 261 mm | none | identical | |
| Drop 2 and 4 | D2 A2 F♯3 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 F♯3 | 16 | 220 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 | D3, F♯3, A3, C♯4 | 7 | 11 | 151 mm |
| First inversion: Dmaj7/F♯ | F♯ | F♯3, A3, C♯4, D4 | 6/5 | 8 | 110 mm |
| Second inversion: Dmaj7/A | A | A3, C♯4, D4, F♯4 | 4/3 | 9 | 124 mm |
| Third inversion: Dmaj7/C♯ | C♯ | C♯4, D4, 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 | D major | Imaj7 | Em7 to A7 to Dmaj7 | 2 tones held from A7 |
| IV, I | D major | Imaj7 | Gmaj7 to Dmaj7 | 2 tones held from Gmaj7 |
| I, vi, ii, V | D major | Imaj7 | Dmaj7 to Bm7 to Em7 to A7 | Dmaj7 opens the phrase |
| ♭VI, iv, i, v | F♯ minor | ♭VImaj7 | Dmaj7 to Bm7 to F♯m7 to C♯m7 | Dmaj7 opens the phrase |
| i, ♭VI | F♯ minor | ♭VImaj7 | F♯m7 to Dmaj7 | 3 tones held from F♯m7 |
| IV, V, I | A major | IVmaj7 | Dmaj7 to E7 to Amaj7 | Dmaj7 opens the phrase |
| I, IV | A major | IVmaj7 | Amaj7 to Dmaj7 | 2 tones held from Amaj7 |
| ♭III, ♭VI, ii, v | B minor | ♭IIImaj7 | Dmaj7 to Gmaj7 to C♯m7♭5 to F♯m7 | Dmaj7 opens the phrase |
| i, ♭III | B minor | ♭IIImaj7 | Bm7 to Dmaj7 | 3 tones held from Bm7 |
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 |
|---|---|---|
| D major | Imaj7 | Tonic, home |
| F♯ minor | ♭VImaj7 | Pre-dominant colour |
| A major | IVmaj7 | Subdominant, away from home |
| B minor | ♭IIImaj7 | Relative-major colour |
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 |
|---|---|---|---|
| Dmaj9 | adds E | 1 3 5 7 9 | 4 |
| D | drops C♯ | 1 3 5 | 3 |
| D7 | C♯ becomes C | 1 3 5 ♭7 | 3 |
| DmMaj7 | F♯ becomes F | 1 ♭3 5 7 | 3 |
| D6 | C♯ becomes B | 1 3 5 6 | 3 |
| Dadd9 | C♯ becomes E | 1 3 5 9 | 3 |
| D9 | C♯ becomes C, E | 1 3 5 ♭7 9 | 3 |
| Dm | F♯, C♯ becomes F | 1 ♭3 5 | 2 |
| Daug | 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 |
| Dm7 | F♯, C♯ becomes F, C | 1 ♭3 5 ♭7 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| D3 | 50 | 146.83 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
- {2, 6, 9, 1}
- Normal order
- [1, 2, 6, 9]
- Prime form
- (0158)
- Forte number
- 4-20
- Interval vector
- <101220>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| D to F♯ | Major third | 4 | 4 |
| D to A | Perfect fifth | 7 | 5 |
| D to C♯ | Major seventh | 11 | 1 |
| 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 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.