135edo

The 135 equal divisions of the octave (135edo), or the 135(-tone) equal temperament (135tet, 135et) when viewed from a regular temperament perspective, is the equal division of the octave into 135 parts of about 8.89 cents each.

Theory

135edo is consistent to the 7-odd-limit, but there is a large relative delta for 5th harmonic. Using the patent val, 135et tempers out 32805/32768 (schisma) and 30517578125/29386561536 (quintriyo comma) in the 5-limit; 225/224, 3125/3087, and 28824005/28697814 in the 7-limit, 385/384, 540/539, 2200/2187, 12005/11979 and the quartisma in the 11-limit; 275/273, 325/324, 352/351, and 729/728 in the 13-limit. Using the 135c val, it tempers out 1594323/1562500 and 50331648/48828125 in the 5-limit; 126/125, 10976/10935, and 589824/588245 in the 7-limit; 176/175, 441/440, 14641/14580 and 16384/16335 in the 11-limit; 196/195, 351/350, 352/351, 676/675, and 6656/6655 in the 13-limit.