566edo: Difference between revisions

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== Theory ==

566edo is [[consistency|distinctly consistent]] in the [[15-odd-limit]]. The equal temperament tempers out the [[schisma]] in the 5-limit; 4375/4374 ([[ragisma]]), 65625/65536 ([[horwell comma]]), and 14348907/14336000 ([[skeetsma]]) in the 7-limit; [[3025/3024]] in the 11-limit; [[1716/1715]] and [[2080/2079]] in the 13-limit. It notably supports [[pontiac]] and [[orga]].

566edo is [[consistency|distinctly consistent]] in the [[15-odd-limit]]. The equal temperament [[tempering out|tempers out]] the [[schisma]] in the 5-limit; 4375/4374 ([[ragisma]]), 65625/65536 ([[horwell comma]]), and 14348907/14336000 ([[skeetsma]]) in the 7-limit; [[3025/3024]] in the 11-limit; [[1716/1715]] and [[2080/2079]] in the 13-limit. It notably supports [[pontiac]] and [[orga]].

The 566g val is interesting in the higher limits, and in the 23-limit in particular it has a great rating in terms of absolute error. It tempers out [[1156/1155]], 1275/1274, 2431/2430, [[2500/2499]] and [[2601/2600]] in the 17-limit; [[1445/1444]], [[1521/1520]] and [[1729/1728]] in the 19-limit; 1105/1104 and 2025/2024 in the 23-limit.

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=== Subsets and supersets ===

Since 566 factors into ~~2 × 283~~, 566edo ~~has~~ [[2edo]] and [[283edo]] as ~~its~~ subsets.

Since 566 factors into {{factorization|566}}, 566edo contains [[2edo]] and [[283edo]] as subsets.

== Regular temperament properties ==

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 == Theory ==
-edo is [[consistency|distinctly consistent]] in the [[15-odd-limit]]. The equal temperament tempers out the [[schisma]] in the 5-limit; 4375/4374 ([[ragisma]]), 65625/65536 ([[horwell comma]]), and 14348907/14336000 ([[skeetsma]]) in the 7-limit; [[3025/3024]] in the 11-limit; [[1716/1715]] and [[2080/2079]] in the 13-limit. It notably supports [[pontiac]] and [[orga]].
+edo is [[consistency|distinctly consistent]] in the [[15-odd-limit]]. The equal temperament [[tempering out|tempers out]] the [[schisma]] in the 5-limit; 4375/4374 ([[ragisma]]), 65625/65536 ([[horwell comma]]), and 14348907/14336000 ([[skeetsma]]) in the 7-limit; [[3025/3024]] in the 11-limit; [[1716/1715]] and [[2080/2079]] in the 13-limit. It notably supports [[pontiac]] and [[orga]].
 The 566g val is interesting in the higher limits, and in the 23-limit in particular it has a great rating in terms of absolute error. It tempers out [[1156/1155]], 1275/1274, 2431/2430, [[2500/2499]] and [[2601/2600]] in the 17-limit; [[1445/1444]], [[1521/1520]] and [[1729/1728]] in the 19-limit; 1105/1104 and 2025/2024 in the 23-limit.
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 === Subsets and supersets ===
-Since 566 factors into 2 × 283, 566edo has [[2edo]] and [[283edo]] as its subsets.
+Since 566 factors into {{factorization|566}}, 566edo contains [[2edo]] and [[283edo]] as subsets.
 == Regular temperament properties ==