Augmented seventh
| Inverse | diminished second |
|---|---|
| Name | |
| Other names | - |
| Abbreviation | A7 |
| Size | |
| Semitones | 12 |
| Interval class | 0 |
| Just interval | 125:64 |
| Cents | |
| Equal temperament | 1200 |
| 24 equal temperament | 1150 |
| Just intonation | 1159 |
In classical music from Western culture, an augmented seventh is an interval produced by widening a major seventh by a chromatic semitone. For instance, the interval from C to B is a major seventh, eleven semitones wide, and both the intervals from C♭ to B, and from C to B♯ are augmented sevenths, spanning twelve semitones. Being augmented, it is classified as a dissonant interval. However, it is enharmonically equivalent to the perfect octave.
Since an octave can be described as a major seventh augmented by a diatonic semitone, the augmented seventh is the sum of an octave, plus the difference between the chromatic and diatonic semitones, which makes it a highly variable quantity between one meantone tuning and the next. In standard equal temperament, in fact, it is identical to the perfect octave (
Play ), because both semitones have the same size. In 19 equal temperament, on the other hand, the interval is 63 cents short of an octave, i.e. 1137 cents. More typical meantone tunings fall between these extremes, giving it an intermediate size.
...
Wikipedia