576edo: Difference between revisions
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{{EDO | {{EDO intro|576}} | ||
==Theory== | ==Theory== | ||
{{ | {{Harmonic in equal|576|columns=14}} | ||
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 are {{EDOs|8, 9, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, and 288}}. Some of these like 72 and 96 have been put into historical use. Its approximation to the perfect fifth is just one step above the 12edo fifth. | 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 are {{EDOs|8, 9, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, and 288}}. Some of these like 72 and 96 have been put into historical use. Its approximation to the perfect fifth is just one step above the 12edo fifth. | ||
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Because of composition, it may be preferrable to make references to smaller EDOs instead of using the best approximation, that is the patent val. For example, using the ⟨576 912 1616 1992] [[val]] for representing the 2.3.7.11 subgroup makes references to 24edo and 36edo: ⟨1\1 7\12 11\24 29\36] when octave reduced. 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 sound like an untempered comma. | Because of composition, it may be preferrable to make references to smaller EDOs instead of using the best approximation, that is the patent val. For example, using the ⟨576 912 1616 1992] [[val]] for representing the 2.3.7.11 subgroup makes references to 24edo and 36edo: ⟨1\1 7\12 11\24 29\36] when octave reduced. 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 sound like an untempered comma. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | |||