12/7

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Interval information
Ratio  12/7
Monzo  |-2 -1 0 1>
Size  933.12909 ¢
Name(s)  septimal supermajor sixth
File:Jid 12 7 pluck adu dr220.mp3
[sound info]

In 7-limit Just Intonation, 12/7 is the septimal supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of 5/3 by 36/25 -- the septimal quartertone -- a superparticular interval of about 48.8¢. It differs from the Pythagorean major sixth of 27/16 by 64/63 -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- 7/4, about 968.8¢ -- by 49/48 -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of 7/6.

See: Gallery of Just Intervals]]