Microtonal, just intonation, electronic music software Microtonal, just intonation, electronic music software

Encyclopedia of Microtonal Music Theory

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11/12-tone, eleven-twelfth-tone

[Joe Monzo]

Calculated as the 72nd root of 211 -- 72√211, or 2(11/72) -- an irrational proportion with the approximate ratio of 1 : 1.111707905, and an interval size of exactly 183 1/3 cents. It is the size of 11 degrees in the 72-edo (or 72-tET) scale, and gives a good approximation to both the just intonation minor-tone (ratio 10:9 = 2,3,5-monzo [1 -2, 1>) and the pythagorean diminished-3rd (ratio 65536:59049 = 2,3-monzo [16 -10,>).

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