music-glossary: syntonic comma
1.300 syntonic comma
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ES: coma sintónica, coma de DÃdimo, 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 Ptolemyâs syntonic diatonic genus. Originally, the
difference by which the ditone exceeds the pure major third obtained by
Pythagorean tuning â (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