LilyPond Music Glossary: 1.298 syntonic comma

## 1.298 syntonic comma

ES: coma sintónica, coma de Dídimo, I: comma sintonico (o didimico), F: comma syntonique, D: syntonisches Komma, NL: syntonische komma, DK: syntonisk komma, S: syntoniskt komma, FI: syntoninen komma, terssien taajuusero luonnollisessa ja Pytagorisessa viritysjärjestelmässä.

Named after Ptolemy’s syntonic diatonic genus. Originally, the difference by which the ditone exceeds the pure major third obtained by Pythagorean tuning – (9:8)^2 - 5:4 = 81:80, or 21.5 cents.

Modern acoustical theory defines it as the interval by which four fifths exceed the sum of two octaves plus a major third. (3:2)^4 - (2:1)^2 + (5:4)

This comma is also known as the comma of Didymus, or didymic comma.

#### See also

Pythagorean comma

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