Construction
| Note | Interval | Degree |
|---|---|---|
| C | Root | 1 |
| E | Major 3rd | 3 |
| G | Perfect 5th | 5 |
| B | Major 7th | 7 |
| D | Major 2nd | 9 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| C | white | thumb (1) | little finger (5) |
| E | white | index finger (2) | ring finger (4) |
| G | white | middle finger (3) | middle finger (3) |
| B | white | ring finger (4) | index finger (2) |
| D | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on C, index finger (2) on E, middle finger (3) on G, ring finger (4) on B, little finger (5) on D.
Left hand: little finger (5) on C, ring finger (4) on E, middle finger (3) on G, index finger (2) on B, thumb (1) on D.
Key Signature
A chord has no key signature of its own, but the C Major 9th 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:
Scales That Include the C Major 9th
- C Major (I)
- G Major (IV)
- A Minor (III)
- E Minor (VI)
- D Dorian (VII)
- E Phrygian (VI)
- F Lydian (V)
- G Mixolydian (IV)
C Major 9th : Frequently Asked Questions
What is the C Major 9th chord on piano?
What notes are in the C Major 9th chord?
How does Cmaj9 differ from C9?
How does Cmaj9 differ from Cadd9?
How is Cmaj9 used in music?
What songs use Major 9th chords?
Do I need to play all five notes?
C Major 9th 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 D4 | 14 | 193 mm | none | identical | |
| Close, first inversion | E3 G3 B3 C4 D4 | 10 | 138 mm | none | identical | |
| Close, second inversion | G3 B3 C4 D4 E4 | 9 | 124 mm | none | identical | |
| Close, third inversion | B3 C4 D4 E4 G4 | 8 | 110 mm | none | identical | |
| Close, fourth inversion | D3 E3 G3 B3 C4 | 10 | 138 mm | none | identical | |
| Drop 2 | B2 C3 E3 G3 D4 | 15 | 206 mm | none | identical | |
| Drop 3 | G2 C3 E3 B3 D4 | 19 | 261 mm | none | identical | |
| Drop 2 and 4 | E2 B2 C3 G3 D4 | 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 9 3 | C2 D3 E3 | 16 | 220 mm | omits G | subset | |
| Guide tones, 3 and 9 | E3 D4 | 10 | 138 mm | omits C and G | subset | |
| Rootless close | E3 G3 B3 D4 | 10 | 138 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, D4 | 9 | 14 | 193 mm |
| First inversion: Cmaj9/E | E | E3, G3, B3, C4, D4 | 7/6/5 | 10 | 138 mm |
| Second inversion: Cmaj9/G | G | G3, B3, C4, D4, E4 | 7/4/3 | 9 | 124 mm |
| Third inversion: Cmaj9/B | B | B3, C4, D4, E4, G4 | 7/4/2 | 8 | 110 mm |
| Fourth inversion: Cmaj9/D | D | D3, E3, G3, B3, C4 | 9/7/5 | 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 |
|---|---|---|---|
| Cmaj7 | drops D | 1 3 5 7 | 4 |
| Cadd9 | drops B | 1 3 5 9 | 4 |
| C9 | B becomes B♭ | 1 3 5 ♭7 9 | 4 |
| C7 | B, D becomes B♭ | 1 3 5 ♭7 | 3 |
| CmMaj7 | E, D becomes E♭ | 1 ♭3 5 7 | 3 |
| C6 | B, D becomes A | 1 3 5 6 | 3 |
| Cm9 | E, B becomes E♭, B♭ | 1 ♭3 5 ♭7 9 | 3 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| C3 | 48 | 130.81 Hz |
| E3 | 52 | 164.81 Hz |
| G3 | 55 | 196.00 Hz |
| B3 | 59 | 246.94 Hz |
| D4 | 62 | 293.66 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, 2}
- Normal order
- [11, 0, 2, 4, 7]
- Prime form
- (01358)
- Forte number
- not claimed for this cardinality
- Interval vector
- <122230>
| 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 |
| C to D | Major ninth | 14 | 2 |
| E to G | Minor third | 3 | 3 |
| E to B | Perfect fifth | 7 | 5 |
| E to D | Minor seventh | 10 | 2 |
| G to B | Major third | 4 | 4 |
| G to D | Perfect fifth | 7 | 5 |
| B to D | Minor third | 3 | 3 |
Where these facts come from
Every value on this page is derived from the note formula for a major 9th 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.