113edo: Difference between revisions
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'''113edo''' is the [[EDO|equal division of the octave]] into 113 parts of 10.6195 [[cent]]s each. | The '''113 equal divisions of the octave''' ('''113edo'''), or the '''113(-tone) equal temperament''' ('''113tet''', '''113et''') when viewed from a [[regular temperament]] perspective, is the [[EDO|equal division of the octave]] into 113 parts of 10.6195 [[cent]]s each. | ||
== Theory == | == Theory == | ||
113et [[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]]. | 113edo is the 30th [[prime EDO]]. | ||