57edf: Difference between revisions

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 {{Infobox ET}}
-'''57EDF''' is the [[EDF|equal division of the just perfect fifth]] into 57 parts of 12.3150 [[cent|cents]] each, corresponding to 97.4421 [[edo]]. It is related to the regular temperament which tempers out {{monzo| -32 33 0 -6 -1 }} and {{monzo| 76 -8 0 -9 -11 }} in the 11-limit, which is supported by [[877edo|877]], [[3313edo|3313]], [[4190edo|4190]], [[5067edo|5067]], [[5944edo|5944]], [[6821edo|6821]], [[7698edo|7698]], and [[11011edo|11011]] EDOs.
+{{ED intro}}
+== Theory ==
+edf corresponds to 97.4421[[edo]]. It is related to the [[regular temperament]] which [[tempering out|tempers out]] {{monzo| -32 33 0 -6 -1 }} and {{monzo| 76 -8 0 -9 -11 }} in the [[11-limit]], which is supported by {{EDOs| 877-, 3313-, 4190-, 5067-, 5944-, 6821-, 7698-, and 11011edo }}.
+=== Harmonics ===
+{{Harmonics in equal|57|3|2}}
+{{Harmonics in equal|57|3|2|start=12|collapsed=true|title=Approximation of harmonics in 57edf (continued)}}
 == Related regular temperaments ==
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 {{Interval table}}
-== Harmonics ==
+{{Todo|cleanup}}
-{{Harmonics in equal
-| steps = 57
-| num = 3
-| denom = 2
-}}
-{{Harmonics in equal
-| steps = 57
-| num = 3
-| denom = 2
-| start = 12
-| collapsed = 1
-}}
-[[Category:Edf]]
-[[Category:Edonoi]]