49edf: Difference between revisions

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m Add a sentence of description about harmonics. Add {{EDOs}}, harmonics & todo expand.
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{{Infobox ET}}
{{Infobox ET}}
'''49EDF''' is the [[EDF|equal division of the just perfect fifth]] into 49 parts of 14.3256 [[cents]] each, corresponding to 83.7661 [[edo]] (similar to every fourth step of [[335edo]]).
{{ED intro}}


It is related to the [[temperament]] which [[tempers out]] |71 27 -49> in the [[5-limit]], which is supported by {{EDOs|83, 84, 167, 251, 335, 419, 503, and 586}} EDOs.
49edf corresponds to 83.7661[[edo]], similar to every fourth step of [[335edo]]. It is related to the [[temperament]] which [[tempering out|tempers out]] {{monzo| 71 27 -49 }} in the [[5-limit]], which is supported by {{EDOs| 83-, 84-, 167-, 251-, 335-, 419-, 503-, and 586edo }}.


Lookalikes: [[84edo]], [[133edt]]
Lookalikes: [[84edo]], [[133edt]]


== Harmonics ==
=== Harmonics ===
[[Subgroup]]s 49edf performs well on include the no-5s [[31-limit]], the [[Dual-n|dual-5]] 31-limit, and any subsets thereof.
[[Subgroup]]s 49edf performs well on include the no-5s [[31-limit]], the [[Dual-n|dual-5]] 31-limit, and any subsets thereof.
{{Harmonics in equal|49|3|2|intervals=prime|columns=7}}
{{Harmonics in equal|49|3|2|intervals=prime|columns=7}}
{{Harmonics in equal|49|3|2|intervals=prime|columns=7|start=8|title=(contd.)}}
{{Harmonics in equal|49|3|2|intervals=prime|columns=7|start=8|collapsed=true|title=Approximation of prime harmonics in 49edf (continued)}}


{{todo|expand}}
{{Todo|expand}}
[[Category:Edf]]
[[Category:Edonoi]]