40edf: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
-'''40EDF''' is the [[EDF|equal division of the just perfect fifth]] into 40 parts of 17.5489 [[cent|cents]] each, corresponding to 68.3805 [[edo]]. It is related to the regular temperament which tempers out 2401/2400, 9801/9800, and 9453125/9437184 in the 11-limit, which is supported by [[68edo]], [[274edo]], [[342edo]], [[410edo]], 616edo, and 752edo among others.
+{{Infobox ET}}
+{{ED intro}}
-==Intervals==
+== Theory ==
-{| class="wikitable"
+edf corresponds to 68.3805[[edo]]. It is related to the [[regular temperament]] which [[tempering out|tempers out]] 2401/2400, 9801/9800, and 9453125/9437184 in the [[11-limit]], which is supported by [[68edo]], [[274edo]], [[342edo]], [[410edo]], [[616edo]], and [[752edo]] among others.
+=== Harmonics ===
+{{Harmonics in equal|40|3|2}}
+{{Harmonics in equal|40|3|2|start=12|collapsed=1}}
+== Intervals ==
+{| class="wikitable mw-collapsible"
+|+ Intervals of 40edf
 |-
 ! | degree
@@ Line 422: / Line 431: @@
 POTE generator: ~99/98 = 17.545
-Map: [&lt;2 2 4 5 8|, &lt;0 40 22 21 -37|]
+Mapping: [&lt;2 2 4 5 8|, &lt;0 40 22 21 -37|]
-EDOs: 68, 274, 342, 410, 616, 752
+EDOs: {{EDOs|68, 274, 342, 410, 616, 752}}
 ===2.3.5.7.11.17 subgroup 68&amp;342===
@@ Line 431: / Line 440: @@
 POTE generator: ~99/98 = 17.546
-Map: [&lt;2 2 4 5 8 8|, &lt;0 40 22 21 -37 6|]
+Mapping: [&lt;2 2 4 5 8 8|, &lt;0 40 22 21 -37 6|]
 EDOs: 68, 274, 342, 410, 616, 752
@@ Line 440: / Line 449: @@
 POTE generator: ~96/95 = 17.547
-Map: [&lt;2 2 4 5 8 8 8|, &lt;0 40 22 21 -37 6 17|]
+Mapping: [&lt;2 2 4 5 8 8 8|, &lt;0 40 22 21 -37 6 17|]
 EDOs: 68, 274, 342, 410, 616, 752h
@@ Line 449: / Line 458: @@
 POTE generator: ~96/95 = 17.546
-Map: [&lt;2 2 4 5 8 8 8 7|, &lt;0 40 22 21 -37 6 17 70|]
+Mapping: [&lt;2 2 4 5 8 8 8 7|, &lt;0 40 22 21 -37 6 17 70|]
 EDOs: 68, 274, 342, 410, 616i, 752h
-[[Category:Edf]]
+{{Todo|cleanup|expand}}
-[[Category:Edonoi]]