186edo: Difference between revisions
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186edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. The equal temperament [[tempering out|tempers out]] 67108864/66430125 ([[misty comma]]) and 390625000/387420489 ([[quartonic comma]]) in the 5-limit, as well as 6115295232/6103515625 ([[vishnuzma]]); [[3136/3125]], [[5120/5103]] and 117649/116640 in the 7-limit. Using the patent val, it tempers out [[385/384]], 1331/1323, [[2200/2187]], and 3773/3750 in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1573/1568]] in the 13-limit. | 186edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1|3]]. The equal temperament [[tempering out|tempers out]] 67108864/66430125 ([[misty comma]]) and 390625000/387420489 ([[quartonic comma]]) in the 5-limit, as well as 6115295232/6103515625 ([[vishnuzma]]); [[3136/3125]], [[5120/5103]] and 117649/116640 in the 7-limit. Using the patent val, it tempers out [[385/384]], 1331/1323, [[2200/2187]], and 3773/3750 in the 11-limit; [[325/324]], [[352/351]], [[847/845]], and [[1573/1568]] in the 13-limit. | ||
=== | === Prime harmonics === | ||
{{Harmonics in equal|186}} | {{Harmonics in equal|186}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 186 factors into {{factorization|186}}, 186edo has subset edos {{EDOs| 2, 3, 6, 31, 62, and 93 }}. | Since 186 factors into {{factorization|186}}, 186edo has subset edos {{EDOs| 2, 3, 6, 31, 62, and 93 }}. | ||