125edo

The 125 equal temperament divides the octave into 125 equal parts of exactly 9.6 cents each. It defines the optimal patent val for 7- and 11-limit slender temperament. It tempers out 15625/15552 in the 5-limit; 225/224 and 4375/4374 in the 7-limit; 385/384 in the 11-limit; and 275/273 in the 13-limit. It is notorious for a very accurate 10/9, being 0.0037121340600743 cents flat, and a very accurate 9/5, being 0.0037121340598745 cents sharp. Because the 9/5 maps to an even 106\125, it can split into a half-comma 4/3, approximating half-comma meantone.