Construction
| Note | Interval | Degree |
|---|---|---|
| C | Root | 1 |
| E | Major 3rd | 3 |
| G♯ | Minor 6th | ♯5 |
| B♭ | Minor 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♯ | black | middle finger (3) | index finger (2) |
| B♭ | black | 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 Augmented 7th Inversions
- Root positionC – E – G♯ – B♭
- 1st inversion (Caug7/E)E – G♯ – B♭ – C
- 2nd inversion (Caug7/G♯)G♯ – B♭ – C – E
- 3rd inversion (Caug7/B♭)B♭ – C – E – G♯
Key Signature
A Augmented 7th 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 C Major
These are the triads built on each degree of C Major:
Same Notes, Other Names
The notes C – E – G♯ – B♭ aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell:
C Augmented 7th : Frequently Asked Questions
What is the C Augmented 7th chord on piano?
What notes are in the C Augmented 7th chord?
How does C Augmented 7th differ from C Dominant 7th?
How does C Augmented 7th differ from C Augmented?
How is C Augmented 7th used in music?
What songs use Augmented 7th chords?
What is the difference between augmented 7th and 7#5?
C Augmented 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 G♯3 B♭3 | 10 | 138 mm | none | identical | |
| Close, first inversion | E3 G♯3 B♭3 C4 | 8 | 110 mm | none | identical | |
| Close, second inversion | G♯3 B♭3 C4 E4 | 8 | 110 mm | none | identical | |
| Close, third inversion | B♭3 C4 E4 G♯4 | 10 | 138 mm | none | identical | |
| Drop 2 | G♯2 C3 E3 B♭3 | 14 | 193 mm | none | identical | |
| Drop 3 | E2 C3 G♯3 B♭3 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | C2 G♯2 E3 B♭3 | 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 | C2 B♭2 E3 | 16 | 220 mm | omits G♯ | subset | |
| Guide tones, 3 and ♭7 | E3 B♭3 | 6 | 83 mm | omits C and G♯ | subset | |
| Rootless close | E3 G♯3 B♭3 | 6 | 83 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, G♯3, B♭3 | 7 | 10 | 138 mm |
| First inversion: Caug7/E | E | E3, G♯3, B♭3, C4 | 6/5 | 8 | 110 mm |
| Second inversion: Caug7/G♯ | G♯ | G♯3, B♭3, C4, E4 | 4/3 | 8 | 110 mm |
| Third inversion: Caug7/B♭ | B♭ | B♭3, C4, E4, G♯4 | 4/2 | 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 |
|---|---|---|---|
| Caug | drops B♭ | 1 3 ♯5 | 3 |
| C7 | G♯ becomes G | 1 3 5 ♭7 | 3 |
| C9 | G♯ becomes G, D | 1 3 5 ♭7 9 | 3 |
| C | G♯, B♭ becomes G | 1 3 5 | 2 |
| Cmaj7 | G♯, B♭ becomes G, B | 1 3 5 7 | 2 |
| Cm7 | E, G♯ becomes E♭, G | 1 ♭3 5 ♭7 | 2 |
| Cm7♭5 | E, G♯ becomes E♭, G♭ | 1 ♭3 ♭5 ♭7 | 2 |
| C7sus4 | E, G♯ becomes F, G | 1 4 5 ♭7 | 2 |
| C6 | G♯, B♭ becomes G, A | 1 3 5 6 | 2 |
| Cadd9 | G♯, B♭ becomes G, D | 1 3 5 9 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| C3 | 48 | 130.81 Hz |
| E3 | 52 | 164.81 Hz |
| G♯3 | 56 | 207.65 Hz |
| B♭3 | 58 | 233.08 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {0, 4, 8, 10}
- Normal order
- [8, 10, 0, 4]
- Prime form
- (0248)
- Forte number
- 4-24
- Interval vector
- <020301>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| C to E | Major third | 4 | 4 |
| C to G♯ | Minor sixth | 8 | 4 |
| C to B♭ | Minor seventh | 10 | 2 |
| E to G♯ | Major third | 4 | 4 |
| E to B♭ | Tritone | 6 | 6 |
| G♯ to B♭ | Major second | 2 | 2 |
Where these facts come from
Every value on this page is derived from the note formula for a augmented 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.