Construction
| Note | Interval | Degree |
|---|---|---|
| C | Root | 1 |
| E | Major 3rd | 3 |
| G | Perfect 5th | 5 |
| B | Major 7th | 7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| C | white | thumb (1) | little finger (5) |
| E | white | index finger (2) | middle finger (3) |
| G | white | middle finger (3) | index finger (2) |
| B | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on C, index finger (2) on E, middle finger (3) on G, little finger (5) on B.
Left hand: little finger (5) on C, middle finger (3) on E, index finger (2) on G, thumb (1) on B.
C Major 7th Inversions
- Root positionC – E – G – B
- 1st inversion (Cmaj7/E)E – G – B – C
- 2nd inversion (Cmaj7/G)G – B – C – E
- 3rd inversion (Cmaj7/B)B – C – E – G
Key Signature
A chord has no key signature of its own, but the C Major 7th is the tonic (I) chord of C Major, whose key signature has no sharps or flats.
Chords in the Key of C Major
These are the triads built on each degree of C Major:
How C 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 C Major 7th sits diatonically across the common keys:
- In C major, C Major 7th is the I chord — the tonic.
- In E minor, C Major 7th is the VI chord — the tonic.
- In G major, C Major 7th is the IV chord — a predominant.
- In A minor, C Major 7th is the III chord — a mediant / color chord.
Scales That Include the C Major 7th
- C Major (Imaj7)
- G Major (IVmaj7)
- A Minor (♭IIImaj7)
- E Minor (♭VImaj7)
- D Dorian (VII)
- E Phrygian (VI)
- F Lydian (V)
- G Mixolydian (IV)
C Major 7th : Frequently Asked Questions
What is the C Major 7th chord on piano?
What notes are in the C Major 7th chord?
How does C Major 7th differ from C Dominant 7th?
How is C Major 7th used in music?
What genres commonly use Major 7th chords?
What songs use Major 7th chords?
Can I substitute C Major 7th for C Major?
C 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 | C3 E3 G3 B3 | 11 | 151 mm | none | identical | |
| Close, first inversion | E3 G3 B3 C4 | 8 | 110 mm | none | identical | |
| Close, second inversion | G3 B3 C4 E4 | 9 | 124 mm | none | identical | |
| Close, third inversion | B3 C4 E4 G4 | 8 | 110 mm | none | identical | |
| Drop 2 | G2 C3 E3 B3 | 16 | 220 mm | none | identical | |
| Drop 3 | E2 C3 G3 B3 | 19 | 261 mm | none | identical | |
| Drop 2 and 4 | C2 G2 E3 B3 | 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 | C2 B2 E3 | 16 | 220 mm | omits G | subset | |
| Guide tones, 3 and 7 | E3 B3 | 7 | 96 mm | omits C and G | subset | |
| Rootless close | E3 G3 B3 | 7 | 96 mm | omits C | 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 | C | C3, E3, G3, B3 | 7 | 11 | 151 mm |
| First inversion: Cmaj7/E | E | E3, G3, B3, C4 | 6/5 | 8 | 110 mm |
| Second inversion: Cmaj7/G | G | G3, B3, C4, E4 | 4/3 | 9 | 124 mm |
| Third inversion: Cmaj7/B | B | B3, C4, E4, G4 | 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 major | Imaj7 | Dm7 to G7 to Cmaj7 | 2 tones held from G7 |
| IV, I | C major | Imaj7 | Fmaj7 to Cmaj7 | 2 tones held from Fmaj7 |
| I, vi, ii, V | C major | Imaj7 | Cmaj7 to Am7 to Dm7 to G7 | Cmaj7 opens the phrase |
| ♭VI, iv, i, v | E minor | ♭VImaj7 | Cmaj7 to Am7 to Em7 to Bm7 | Cmaj7 opens the phrase |
| i, ♭VI | E minor | ♭VImaj7 | Em7 to Cmaj7 | 3 tones held from Em7 |
| IV, V, I | G major | IVmaj7 | Cmaj7 to D7 to Gmaj7 | Cmaj7 opens the phrase |
| I, IV | G major | IVmaj7 | Gmaj7 to Cmaj7 | 2 tones held from Gmaj7 |
| ♭III, ♭VI, ii, v | A minor | ♭IIImaj7 | Cmaj7 to Fmaj7 to Bm7♭5 to Em7 | Cmaj7 opens the phrase |
| i, ♭III | A minor | ♭IIImaj7 | Am7 to Cmaj7 | 3 tones held from Am7 |
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 major | Imaj7 | Tonic, home |
| E minor | ♭VImaj7 | Pre-dominant color |
| G major | IVmaj7 | Subdominant, away from home |
| A minor | ♭IIImaj7 | Relative-major color |
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 |
|---|---|---|---|
| Cmaj9 | adds D | 1 3 5 7 9 | 4 |
| C | drops B | 1 3 5 | 3 |
| C7 | B becomes B♭ | 1 3 5 ♭7 | 3 |
| CmMaj7 | E becomes E♭ | 1 ♭3 5 7 | 3 |
| C6 | B becomes A | 1 3 5 6 | 3 |
| Cadd9 | B becomes D | 1 3 5 9 | 3 |
| C9 | B becomes B♭, D | 1 3 5 ♭7 9 | 3 |
| Cm | E, B becomes E♭ | 1 ♭3 5 | 2 |
| Caug | G, B becomes G♯ | 1 3 ♯5 | 2 |
| Csus2 | E, B becomes D | 1 2 5 | 2 |
| Csus4 | E, B becomes F | 1 4 5 | 2 |
| Cm7 | E, B becomes E♭, B♭ | 1 ♭3 5 ♭7 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| C3 | 48 | 130.81 Hz |
| E3 | 52 | 164.81 Hz |
| G3 | 55 | 196.00 Hz |
| B3 | 59 | 246.94 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {0, 4, 7, 11}
- Normal order
- [11, 0, 4, 7]
- Prime form
- (0158)
- Forte number
- 4-20
- Interval vector
- <101220>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| C to E | Major third | 4 | 4 |
| C to G | Perfect fifth | 7 | 5 |
| C to B | Major seventh | 11 | 1 |
| E to G | Minor third | 3 | 3 |
| E to B | Perfect fifth | 7 | 5 |
| G to B | 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 C, 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.