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192edo is the equal division of the octave into 192 parts of 6.25 cents each exactly. Its adjacent step is known as Tetramu (fourth MIDI-resolution unit, 4mu, 24 = 16 equal divisions of the 12edo semitone). It is closely related to 96edo, but the patent vals differ on the mapping for 7. Using the patent val, it tempers out the pythagorean comma, 531441/524288 in the 3-limit; the Würschmidt comma, 393216/390625 and the unicorn comma, 1594323/1562500 in the 5-limit; 2401/2400, 3136/3125, and 1594323/1568000 in the 7-limit; 243/242, 441/440, 5632/5625, and 131769/131072 in the 11-limit; 676/675, 1287/1280, 1573/1568, and 2704/2695 in the 13-limit. Using the alternative 192f val, 351/350, 1001/1000, 1575/1573, 3584/3575, and 5445/5408 are tempered out in the 13-limit.

See also