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113edo is the equal division of the octave into 113 parts of 10.6195 cents each. It 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 for 5-limit amity temperament, 7-limit amicable temperament, 7- and 11-limit miracle temperament, and 13-limit manna temperament.

113edo is the 30th prime EDO.