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. Being the cube closest to division of the octave by the Germanic long hundred, it has a unit step which is the cubic (fine) relative cent of 1edo.