581edo: Difference between revisions
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== Theory == | == Theory == | ||
581edo is a very strong 19- and 23-limit system, [[consistency|distinctly consistent]] to the [[25-odd-limit]]. | 581edo is a very strong 19- and 23-limit system, [[consistency|distinctly consistent]] to the [[25-odd-limit]]. As an equal temperament, it [[tempering out|tempers out]] [[2401/2400]] in the 7-limit, [[3025/3024]], [[19712/19683]], 151263/151250 in the 11-limit, and [[2080/2079]], [[4096/4095]], [[4225/4224]], [[6656/6655]] and [[10648/10647]] in the 13-limit. It [[support]]s and gives a good tuning for [[newt]], the {{nowrap|270 & 311}} microtemperament, which features a neutral-third generator. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|581 | {{Harmonics in equal|581}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 581 factors into | Since 581 factors into 7 × 83, 581edo contains [[7edo]] and [[83edo]] as subsets. | ||
== Regular temperament properties == | == Regular temperament properties == | ||