Construction
| Note | Interval | Degree |
|---|---|---|
| B | Root | 1 |
| D♯ | Major 3rd | 3 |
| F♯♯ | Minor 6th | ♯5 |
| A | Minor 7th | ♭7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| B | white | thumb (1) | little finger (5) |
| D♯ | black | index finger (2) | middle finger (3) |
| F♯♯ | white | middle finger (3) | index finger (2) |
| A | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on B, index finger (2) on D♯, middle finger (3) on F♯♯, little finger (5) on A.
Left hand: little finger (5) on B, middle finger (3) on D♯, index finger (2) on F♯♯, thumb (1) on A.
B Augmented 7th Inversions
- Root positionB – D♯ – F♯♯ – A
- 1st inversion (Baug7/D♯)D♯ – F♯♯ – A – B
- 2nd inversion (Baug7/F♯♯)F♯♯ – A – B – D♯
- 3rd inversion (Baug7/A)A – B – D♯ – F♯♯
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 B Major
These are the triads built on each degree of B Major:
Same Notes, Other Names
The notes B – D♯ – F♯♯ – A aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell:
B Augmented 7th : Frequently Asked Questions
What is the B Augmented 7th chord on piano?
What notes are in the B Augmented 7th chord?
How does B Augmented 7th differ from B Dominant 7th?
How is B 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?
B 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 | B3 D♯4 F×4 A4 | 10 | 138 mm | none | identical | |
| Close, first inversion | D♯4 F×4 A4 B4 | 8 | 110 mm | none | identical | |
| Close, second inversion | F×4 A4 B4 D♯5 | 8 | 110 mm | none | identical | |
| Close, third inversion | A4 B4 D♯5 F×5 | 10 | 138 mm | none | identical | |
| Drop 2 | F×3 B3 D♯4 A4 | 14 | 193 mm | none | identical | |
| Drop 3 | D♯3 B3 F×4 A4 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | B2 F×3 D♯4 A4 | 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 | B2 A3 D♯4 | 16 | 220 mm | omits F× | subset | |
| Guide tones, 3 and ♭7 | D♯4 A4 | 6 | 83 mm | omits B and F× | subset | |
| Rootless close | D♯4 F×4 A4 | 6 | 83 mm | omits B | 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 | B | B3, D♯4, F×4, A4 | 7 | 10 | 138 mm |
| First inversion: Baug7/D♯ | D♯ | D♯4, F×4, A4, B4 | 6/5 | 8 | 110 mm |
| Second inversion: Baug7/F× | F× | F×4, A4, B4, D♯5 | 4/3 | 8 | 110 mm |
| Third inversion: Baug7/A | A | A4, B4, D♯5, F×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 |
|---|---|---|---|
| Baug | drops A | 1 3 ♯5 | 3 |
| B7 | F× becomes F♯ | 1 3 5 ♭7 | 3 |
| B9 | F× becomes F♯, C♯ | 1 3 5 ♭7 9 | 3 |
| B | F×, A becomes F♯ | 1 3 5 | 2 |
| Bmaj7 | F×, A becomes F♯, A♯ | 1 3 5 7 | 2 |
| Bm7 | D♯, F× becomes D, F♯ | 1 ♭3 5 ♭7 | 2 |
| Bm7♭5 | D♯, F× becomes D, F | 1 ♭3 ♭5 ♭7 | 2 |
| B7sus4 | D♯, F× becomes E, F♯ | 1 4 5 ♭7 | 2 |
| B6 | F×, A becomes F♯, G♯ | 1 3 5 6 | 2 |
| Badd9 | F×, A becomes F♯, C♯ | 1 3 5 9 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| B3 | 59 | 246.94 Hz |
| D♯4 | 63 | 311.13 Hz |
| F×4 | 67 | 392.00 Hz |
| A4 | 69 | 440.00 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {11, 3, 7, 9}
- Normal order
- [7, 9, 11, 3]
- Prime form
- (0248)
- Forte number
- 4-24
- Interval vector
- <020301>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| B to D♯ | Major third | 4 | 4 |
| B to F× | Minor sixth | 8 | 4 |
| B to A | Minor seventh | 10 | 2 |
| D♯ to F× | Major third | 4 | 4 |
| D♯ to A | Tritone | 6 | 6 |
| F× to A | 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 B, 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.