37edf: Difference between revisions

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-'''37EDF''' is the [[EDF|equal division of the just perfect fifth]] into 37 parts of 18.9718 [[cent|cents]] each, corresponding to 63.2519 [[edo]] (similar to every fourth step of [[253edo]]). It is related to the regular temperament which tempers out 385/384, 12005/11979, and 820125/819896 in the 11-limit, which is supported by [[63edo]], [[190edo]], and [[253edo]] among others.
+{{Infobox ET}}
+{{ED intro}}
-==Intervals==
+== Theory ==
-{| class="wikitable"
+edf corresponds to 63.2519[[edo]], similar to every fourth step of [[253edo]]. It is related to the [[regular temperament]] which [[tempering out|tempers out]] 385/384, 12005/11979, and 820125/819896 in the [[11-limit]], which is supported by [[63edo]], [[190edo]], and [[253edo]] among others.
+=== Harmonics ===
+{{Harmonics in equal|37|3|2}}
+{{Harmonics in equal|37|3|2|start=12|collapsed=1}}
+== Intervals ==
+{| class="wikitable mw-collapsible"
+|+ Intervals of 37edf
 |-
 ! | degree
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 POTE generator: ~1728/1715 = 18.957
-Map: [&lt;1 1 3 2|, &lt;0 37 -43 51|]
+Mapping: [&lt;1 1 3 2|, &lt;0 37 -43 51|]
 EDOs: 63, 190, 253
@@ Line 399: / Line 408: @@
 POTE generator: ~99/98 = 18.957
-Map: [&lt;1 1 3 2 3|, &lt;0 37 -43 51 29|]
+Mapping: [&lt;1 1 3 2 3|, &lt;0 37 -43 51 29|]
 EDOs: 63, 190, 253
@@ Line 408: / Line 417: @@
 POTE generator: ~99/98 = 18.959
-Map: [&lt;1 1 3 2 3 4|, &lt;0 37 -43 51 29 -19|]
+Mapping: [&lt;1 1 3 2 3 4|, &lt;0 37 -43 51 29 -19|]
 EDOs: 63, 190, 253
-[[Category:Edf]]
+{{Todo|cleanup|expand}}
-[[Category:Edonoi]]