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'''Amity''' is a temperament for the 5, 7, 11, and 13 [[Harmonic limit|prime limits]]. EDOs that support amity include [[46edo]], [[53edo]], [[99edo]], [[152edo]], and [[205edo]]. | '''Amity''' is a temperament for the 5, 7, 11, and 13 [[Harmonic limit|prime limits]]. EDOs that support amity include [[46edo]], [[53edo]], [[99edo]], [[152edo]], and [[205edo]]. | ||
In the 7-limit, amity tempers out 4375/4374 and 5120/5103, as well as 5-limit [[amity comma]], 1600000/1594323. But extending it from the 7-limit to the 11-limit is not so simple. There are two mappings that are comparable in complexity and error: 11-limit amity (53&205) and hitchcock (46&53). | |||
Tempering out 540/539 leads 11-limit amity, supported by 53, 152, and 205 edos. Tempering out 176/175 leads 11-limit hitchcock, supported by 46, 53, and 99 edos. They can be extended to the 13-limit by the 352/351 comma, and results in 625/624 and 729/728 being tempered out in 13-limit amity; 169/168 and 325/324 being tempered out in 13-limit hitchcock. In the 17-limit, 46&53 tempers out 154/153, 256/255, and 273/272. | |||
See [[Amity family]] or [[Ragismic microtemperaments #Amity]] for more information. | See [[Amity family]] or [[Ragismic microtemperaments #Amity]] for more information. | ||