576edo: Difference between revisions
nope, amity family is for temps not edos |
what did i press to make the code pan right, hold on |
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{{Infobox ET | |||
| Prime factorization = 2<sup>6</sup> × 3<sup>2</sup> | |||
| Step size = 2.08333¢ | |||
| Fifth = 337\576 (702.08333¢) | |||
| )Major 2nd = 98\576 (204.16666¢ | |||
}} | |||
{{EDO intro|576}} | {{EDO intro|576}} | ||
==Theory== | ==Theory== | ||
{{Harmonics in equal|576 | {{Harmonics in equal|576}} | ||
576 is a near-highly composite number which is equal to 24 squared, which in itself is double the world-predominant [[12edo]]. It's xenharmonic divisors (that is, besides 12edo and its subsets) are {{EDOs|8, 9, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, and 288}}. Some of these have been put into practical use. 72edo has been used in [[Wikipedia:Byzantine music|Byzantine chanting]], has been theoreticized by [[wikipedia:Alois Hába|Alois Haba]] and [[Ivan Wyschnegradsky]], and has been used by jazz musician [[Joe Maneri]]. 96edo has been used by [[Julian Carrillo]]. Because of composition, it may be preferrable to make references to smaller EDOs instead of using the best approximation, that is the patent val. In fact, this approach may be preferrable since the patent val will create sequences that fall aside by 1\576 of each other, which may not "live up to the spirit" of a composite number like 576. | 576 is a near-highly composite number which is equal to 24 squared, which in itself is double the world-predominant [[12edo]]. It's xenharmonic divisors (that is, besides 12edo and its subsets) are {{EDOs|8, 9, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, and 288}}. Some of these have been put into practical use. 72edo has been used in [[Wikipedia:Byzantine music|Byzantine chanting]], has been theoreticized by [[wikipedia:Alois Hába|Alois Haba]] and [[Ivan Wyschnegradsky]], and has been used by jazz musician [[Joe Maneri]]. 96edo has been used by [[Julian Carrillo]]. Because of composition, it may be preferrable to make references to smaller EDOs instead of using the best approximation, that is the patent val. In fact, this approach may be preferrable since the patent val will create sequences that fall aside by 1\576 of each other, which may not "live up to the spirit" of a composite number like 576. | ||