Construction
| Note | Interval | Degree |
|---|---|---|
| E | Root | 1 |
| G♯ | Major 3rd | 3 |
| B♯ | Minor 6th | ♯5 |
| D | Minor 7th | ♭7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| E | white | thumb (1) | little finger (5) |
| G♯ | black | index finger (2) | middle finger (3) |
| B♯ | white | middle finger (3) | index finger (2) |
| D | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on E, index finger (2) on G♯, middle finger (3) on B♯, little finger (5) on D.
Left hand: little finger (5) on E, middle finger (3) on G♯, index finger (2) on B♯, thumb (1) on D.
E Augmented 7th Inversions
- Root positionE – G♯ – B♯ – D
- 1st inversion (Eaug7/G♯)G♯ – B♯ – D – E
- 2nd inversion (Eaug7/B♯)B♯ – D – E – G♯
- 3rd inversion (Eaug7/D)D – E – G♯ – B♯
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 E Major
These are the triads built on each degree of E Major:
Same Notes, Other Names
The notes E – G♯ – B♯ – D aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell:
E Augmented 7th : Frequently Asked Questions
What is the E Augmented 7th chord on piano?
What notes are in the E Augmented 7th chord?
How does E Augmented 7th differ from E Dominant 7th?
How is E Augmented 7th used in music?
What genres use Augmented 7th chords?
What songs use Augmented 7th chords?
What is the difference between +7 and 7#5?
E 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 | E3 G♯3 B♯4 D4 | 10 | 138 mm | none | identical | |
| Close, first inversion | G♯3 B♯4 D4 E4 | 8 | 110 mm | none | identical | |
| Close, second inversion | B♯4 D4 E4 G♯4 | 8 | 110 mm | none | identical | |
| Close, third inversion | D4 E4 G♯4 B♯5 | 10 | 138 mm | none | identical | |
| Drop 2 | B♯3 E3 G♯3 D4 | 14 | 193 mm | none | identical | |
| Drop 3 | G♯2 E3 B♯4 D4 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | E2 B♯3 G♯3 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 ♭7 3 | E2 D3 G♯3 | 16 | 220 mm | omits B♯ | subset | |
| Guide tones, 3 and ♭7 | G♯3 D4 | 6 | 83 mm | omits E and B♯ | subset | |
| Rootless close | G♯3 B♯4 D4 | 6 | 83 mm | omits E | 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 | E | E3, G♯3, B♯4, D4 | 7 | 10 | 138 mm |
| First inversion: Eaug7/G♯ | G♯ | G♯3, B♯4, D4, E4 | 6/5 | 8 | 110 mm |
| Second inversion: Eaug7/B♯ | B♯ | B♯4, D4, E4, G♯4 | 4/3 | 8 | 110 mm |
| Third inversion: Eaug7/D | D | D4, E4, G♯4, B♯5 | 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 |
|---|---|---|---|
| Eaug | drops D | 1 3 ♯5 | 3 |
| E7 | B♯ becomes B | 1 3 5 ♭7 | 3 |
| E9 | B♯ becomes B, F♯ | 1 3 5 ♭7 9 | 3 |
| E | B♯, D becomes B | 1 3 5 | 2 |
| Emaj7 | B♯, D becomes B, D♯ | 1 3 5 7 | 2 |
| Em7 | G♯, B♯ becomes G, B | 1 ♭3 5 ♭7 | 2 |
| Em7♭5 | G♯, B♯ becomes G, B♭ | 1 ♭3 ♭5 ♭7 | 2 |
| E7sus4 | G♯, B♯ becomes A, B | 1 4 5 ♭7 | 2 |
| E6 | B♯, D becomes B, C♯ | 1 3 5 6 | 2 |
| Eadd9 | B♯, D becomes B, F♯ | 1 3 5 9 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| E3 | 52 | 164.81 Hz |
| G♯3 | 56 | 207.65 Hz |
| B♯4 | 60 | 261.63 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
- {4, 8, 0, 2}
- Normal order
- [0, 2, 4, 8]
- Prime form
- (0248)
- Forte number
- 4-24
- Interval vector
- <020301>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| E to G♯ | Major third | 4 | 4 |
| E to B♯ | Minor sixth | 8 | 4 |
| E to D | Minor seventh | 10 | 2 |
| G♯ to B♯ | Major third | 4 | 4 |
| G♯ to D | Tritone | 6 | 6 |
| B♯ to D | 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 E, 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.