43edf: Difference between revisions

(2 intermediate revisions by 2 users not shown)

Line 1:

'''43EDF''' is the [[EDF|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]). It is related to the [[microtempering|microtemperament]] which tempers out |-135 135 -86 43> (0.45970 cents) in the 7-limit, which is supported by 441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466 EDOs.

==Related temperament==

== Theory ==

===7-limit 441&4631&12276===

43edf corresponds to 73.5090 [[edo]], similar to every second step of [[147edo]]. It is related to the [[microtemperament]] which [[tempering out|tempers out]] {{monzo| -135 135 -86 43 }} (0.45970 cents) in the [[7-limit]], which is supported by {{EDOs| 441-, 4190-, 4631-, 5072-, 7204-, 11394-, 11835-, 12276-, and 16466edo }}.

=== Harmonics ===

{{Harmonics in equal|43|3|2|start=12|collapsed=true|title=Approximation of harmonics in 43edf (continued)}}

== Related temperament ==

===7-limit 441 & 4631 & 12276===

Comma: |-135 135 -86 43>

Line 21:

Line 28:

EDOs: {{EDOs|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742}}

===13-limit 441&4631&12276===

===13-limit 441 & 4631 & 12276===

Commas: 33792000/33787663, 703096443/703040000, 33319272448/33317578125

Line 30:

Line 37:

EDOs: {{EDOs|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276}}

~~[[Category:Edf]]~~

~~[[Category:Edonoi]]~~

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''43EDF''' is the [[EDF|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]). It is related to the [[microtempering|microtemperament]] which tempers out |-135 135 -86 43&gt; (0.45970 cents) in the 7-limit, which is supported by 441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466 EDOs.
+{{ED intro}}
-==Related temperament==
+== Theory ==
-===7-limit 441&amp;4631&amp;12276===
+edf corresponds to 73.5090 [[edo]], similar to every second step of [[147edo]]. It is related to the [[microtemperament]] which [[tempering out|tempers out]] {{monzo| -135 135 -86 43 }} (0.45970 cents) in the [[7-limit]], which is supported by {{EDOs| 441-, 4190-, 4631-, 5072-, 7204-, 11394-, 11835-, 12276-, and 16466edo }}.
+=== Harmonics ===
+{{Harmonics in equal|43|3|2}}
+{{Harmonics in equal|43|3|2|start=12|collapsed=true|title=Approximation of harmonics in 43edf (continued)}}
+== Related temperament ==
+===7-limit 441 &amp; 4631 &amp; 12276===
 Comma: |-135 135 -86 43&gt;
@@ Line 21: / Line 28: @@
 EDOs: {{EDOs|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742}}
-===13-limit 441&amp;4631&amp;12276===
+===13-limit 441 &amp; 4631 &amp; 12276===
 Commas: 33792000/33787663, 703096443/703040000, 33319272448/33317578125
@@ Line 30: / Line 37: @@
 EDOs: {{EDOs|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276}}
-[[Category:Edf]]
+{{Todo|cleanup|expand}}
-[[Category:Edonoi]]