369edo

The 369 equal divisions of the octave divides the octave into 369 equal parts of 3.252 cents each.

Theory

369edo tempers out 2401/2400 and 4375/4374 in the 7-limit, so that it supports the ennealimmal temperament; in the 11-limit, 4000/3993, 5632/5625 and 16384/16335. It provides the optimal patent val for the 11-limit 21&109 temperament, the 65&152 temperament, and the rank-4 temperament tempering out 16384/16335, the semiporwellisma, as well as the no-7 subgroup version of it.

369 factors as 3² × 41, with subset edos 3, 9, 41, and 123.