53edf: Difference between revisions

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m Add {{EDOs}}, {{todo|expand}} and harmonics table
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{{Infobox ET}}
{{Infobox ET}}
'''53EDF''' is the [[EDF|equal division of the just perfect fifth]] into 53 parts of 13.2444 [[cents]] each, corresponding to 90.6041 [[edo]] (similar to every fifth step of [[453edo]]).
{{ED intro|53}}


It is related to the [[regular temperament]] which [[tempers out]] |-44 44 53 -53> in the [[7-limit]], which is supported by {{EDOs|90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178}} EDOs.
== Theory ==
53edf corresponds to 90.6041[[edo]], similar to every fifth step of [[453edo]]. It is related to the [[regular temperament]] which [[tempering out|tempers out]] {{monzo| -44 44 53 -53 }} in the [[7-limit]], which is supported by {{EDOs| 90-, 91-, 181-, 453-, 544-, 634-, 725-, 997-, 1087-, and 1178edo }}.


==Related temperament==
=== Harmonics ===
{{Harmonics in equal|53|3|2|intervals=prime}}
{{Harmonics in equal|53|3|2|intervals=prime|collapsed=1|start=12|Approximation of prime harmonics in 53edf (continued)}}
 
== Related temperament ==
===7-limit 453&544&634===
===7-limit 453&544&634===
Comma: |-44 44 53 -53>
Comma: |-44 44 53 -53>
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EDOs: {{EDOs|453, 725, 1178, 1631, 2084, 2809}}
EDOs: {{EDOs|453, 725, 1178, 1631, 2084, 2809}}


== Harmonics ==
{{Todo|cleanup|expand}}
{{Harmonics in equal|53|3|2|intervals=prime}}
{{Harmonics in equal|53|3|2|intervals=prime|collapsed=1|start=12}}
 
{{todo|expand}}
[[Category:Edf]]
[[Category:Edonoi]]