113edo: Difference between revisions

'''113edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 113 parts of 10.6195 [[cent]]s each. It [[tempering_out|tempers out]] 1600000/1594323 and 34171875/33554432 in the [[5-limit]]; 225/224, 1029/1024 and 1071875/1062882 in the [[7-limit]]; 243/242, 385/384, and 441/440 in the [[11-limit]]; 325/324, 364/363, 729/728, and 1625/1617 in the [[13-limit]]. It provides the [[Optimal_patent_val|optimal patent val]] for 5-limit [[Amity family|amity temperament]], 7- and 11-limit [[Gamelismic clan|miracle temperament]], and 13-limit [[Gamelismic clan|manna temperament]].