113edo: Difference between revisions
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'''113edo''' is the [[ | '''113edo''' is the [[EDO|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 supports the 5-limit [[Amity family|amity temperament]], 7-limit [[Breedsmic temperaments|amicable temperament]], 7- and 11-limit [[Gamelismic clan|miracle temperament]], and 13-limit [[Gamelismic clan|manna temperament]]. | ||
113edo is the 30th [[prime EDO]]. | 113edo is the 30th [[prime EDO]]. | ||
Revision as of 08:00, 10 March 2019
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 supports the 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.