457edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|457}}
{{ED intro}}


== Theory ==
== Theory ==
457edo is [[consistent]] to the [[7-odd-limit]], but the error of [[harmonic]] [[3/1|3]] is quite large. It [[tempers out]] [[19683/19600]] and [[65625/65536]] in the 7-limit; [[540/539]], [[8019/8000]], and 43923/43904 in the 11-limit.
457edo is [[consistent]] to the [[7-odd-limit]], but the error of [[harmonic]] [[3/1|3]] is quite large. As an equal temperament, it [[tempering out|tempers out]] [[19683/19600]] and [[65625/65536]] in the [[7-limit]]; [[540/539]], [[8019/8000]], and 43923/43904 in the [[11-limit]].


=== Odd harmonics ===
=== Odd harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
457edo is the 88th [[prime edo]].  
457edo is the 88th [[prime edo]].


== Regular temperament properties ==
== Regular temperament properties ==