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Acoustics · Tuning & pitch

Harmonic seventh

What is harmonic seventh? A clear definition from the acoustics and tuning & pitch section of our glossary, with 15 related terms, tools to try and further reading.

Definition of 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 about 31.2 cents narrower, with a more stable and consonant sound, than a minor seventh in 12 equal temperament. It is about 49 cents 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).

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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What is 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).

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