47edf: Difference between revisions

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'''47EDF''' is the [[EDF|equal division of the just perfect fifth]] into 47 parts of 14.9352 [[cent|cents]] each, corresponding to 80.3470 [[edo]] (similar to every third step of [[241edo]]). It is related to the [[microtempering|microtemperament]] which tempers out |39 -39 -47 47> (1.82802 cents) in the 7-limit, which is supported by 482, 643, 1125, 1205, 1848, 2330, 2973, 3053, and 4178 EDOs.

'''47EDF''' is the [[EDF|equal division of the just perfect fifth]] into 47 parts of 14.9352 [[cent|cents]] each, corresponding to 80.3470 [[edo]] (similar to every third step of [[241edo]]).

==Related ~~temperament~~==

It is related to the [[microtempering|microtemperament]] which tempers out |39 -39 -47 47> (1.82802 cents) in the 7-limit, which is supported by [[482edo|482]], [[643edo|643]], [[1125edo|1125]], [[1205edo|1205]], [[1848edo|1848]], [[2330edo|2330]], [[2973edo|2973]], [[3053edo|3053]], and [[4178edo|4178]] EDOs.

==Related regular temperaments==

===7-limit 1205&1848&2330===

Comma: |39 -39 -47 47>

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POTE generators: ~5/4 = 386.3319, ~3796875/3764768 = 14.9354

~~Map~~: [<1 1 0 0|, <0 47 0 39|, <0 0 1 1|]

Mapping: [<1 1 0 0|, <0 47 0 39|, <0 0 1 1|]

EDOs: {{EDOs|80, 161, 482, 562, 643, 723, 1125, 1205, 1366, 1848, 2330, 2973, 3053, 4178, 6026}}

~~EDOs: 80, 161, 482, 562, 643, 723, 1125, 1205, 1366, 1848, 2330, 2973, 3053, 4178, 6026~~

== Harmonics ==

~~[[Category:Edf]]~~

~~[[Category:Edonoi]]~~

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-'''47EDF''' is the [[EDF|equal division of the just perfect fifth]] into 47 parts of 14.9352 [[cent|cents]] each, corresponding to 80.3470 [[edo]] (similar to every third step of [[241edo]]). It is related to the [[microtempering|microtemperament]] which tempers out |39 -39 -47 47&gt; (1.82802 cents) in the 7-limit, which is supported by 482, 643, 1125, 1205, 1848, 2330, 2973, 3053, and 4178 EDOs.
+{{Infobox ET}}
+'''47EDF''' is the [[EDF|equal division of the just perfect fifth]] into 47 parts of 14.9352 [[cent|cents]] each, corresponding to 80.3470 [[edo]] (similar to every third step of [[241edo]]).
-==Related temperament==
+It is related to the [[microtempering|microtemperament]] which tempers out |39 -39 -47 47&gt; (1.82802 cents) in the 7-limit, which is supported by [[482edo|482]], [[643edo|643]], [[1125edo|1125]], [[1205edo|1205]], [[1848edo|1848]], [[2330edo|2330]], [[2973edo|2973]], [[3053edo|3053]], and [[4178edo|4178]] EDOs.
+==Related regular temperaments==
 ===7-limit 1205&amp;1848&amp;2330===
 Comma: |39 -39 -47 47&gt;
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 POTE generators: ~5/4 = 386.3319, ~3796875/3764768 = 14.9354
-Map: [&lt;1 1 0 0|, &lt;0 47 0 39|, &lt;0 0 1 1|]
+Mapping: [&lt;1 1 0 0|, &lt;0 47 0 39|, &lt;0 0 1 1|]
+EDOs: {{EDOs|80, 161, 482, 562, 643, 723, 1125, 1205, 1366, 1848, 2330, 2973, 3053, 4178, 6026}}
-EDOs: 80, 161, 482, 562, 643, 723, 1125, 1205, 1366, 1848, 2330, 2973, 3053, 4178, 6026
+== Harmonics ==
+{{Harmonics in equal|47|3|2}}
+{{Harmonics in equal|47|3|2|title=contd.|start=12}}
-[[Category:Edf]]
+{{todo|expand}}
-[[Category:Edonoi]]