8736edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
8736edo is an excellent 2.7.13.17 [[subgroup]] tuning. It also excellently represents such intervals as [[53/49]], [[47/38]]. | 8736edo is an excellent 2.7.13.17 [[subgroup]] tuning. It also excellently represents such intervals as [[53/49]], [[47/38]]. | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 8736 factors as {{factorization|8736}}, 8736edo has subset edos {{EDOs| 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368 }}. | Since 8736 factors as {{factorization|8736}}, 8736edo has subset edos {{EDOs| 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368 }}. | ||
Its abundancy index is 2.23, which means 8736edo has strong potential with regards to [[polymicrotonality]]. Some notable divisors are {{EDOs| 12, 84, 91, 224, 364, 624 }}. | Its abundancy index is 2.23, which means 8736edo has strong potential with regards to [[polymicrotonality]]. Some notable divisors are {{EDOs| 12, 84, 91, 224, 364, 624 }}. | ||