113edo: Difference between revisions

+infobox
Expansion
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| Major 2nd = 19\113 (202¢)
| Major 2nd = 19\113 (202¢)
| Minor 2nd = 9\113 (96¢)
| Minor 2nd = 9\113 (96¢)
| Augmented 1sn = 10\113 (106¢)
| Augmented 1sn = 10\113 (106¢)
}}
}}


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== 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 distinctly [[consistent]] in the [[13-odd-limit]] with a flat tendency. As a temperament, it [[tempers out]] the [[amity comma]] and the [[ampersand]] in the [[5-limit]]; [[225/224]], [[1029/1024]] and 1071875/1062882 in the [[7-limit]]; [[243/242]], [[385/384]], [[441/440]] and [[540/539]] in the [[11-limit]]; [[325/324]], [[364/363]], [[729/728]], and 1625/1617 in the [[13-limit]]. It notably 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]].