Harmonic seventh
The harmonic seventh interval, also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratio (about 969 cents). This is somewhat narrower than and is, "particularly sweet", "sweeter in quality" than an "ordinary" just minor seventh, which has an intonation ratio of 9:5 (about 1018 cents).
| Inverse | Septimal major second |
|---|---|
| Name | |
| Other names | septimal minor seventh, subminor seventh, acute diminished just seventh, quarter comma augmented sixth |
| Abbreviation | m 7, H 7, min 7, accdim 7, Aug 6 |
| Size | |
| Semitones | ~9.7 |
| Interval class | ~2.3 |
| Just interval | 7:4 |
| Cents | |
| Just intonation | 968.826 |
The harmonic seventh arises from the harmonic series as the interval between the fourth harmonic (second octave of the fundamental) and the seventh harmonic; in that octave, harmonics 4, 5, 6, and 7 constitute the four notes (in order) of a purely consonant major chord (root position) with an added minor seventh (or augmented sixth, depending on the tuning system used).
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