47edf: Difference between revisions

Revision as of 07:35, 7 May 2023

Prime factorization

47 (prime)

Step size

14.9352 ¢

Octave

80\47edf (1194.82 ¢)

Twelfth

127\47edf (1896.77 ¢)

Consistency limit

3

Distinct consistency limit

3

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

Comma: |39 -39 -47 47>

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

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

@@ Line 1: / Line 1: @@
 {{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]]). 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.
+'''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 [[482edo|482]], [[643edo|643]], [[1125edo|1125]], [[1205edo|1205]], [[1848edo|1848]], [[2330edo|2330]], [[2973edo|2973]], [[3053edo|3053]], and [[4178edo|4178]] EDOs.
 ==Related regular temperaments==
@@ Line 10: / Line 10: @@
 Mapping: [&lt;1 1 0 0|, &lt;0 47 0 39|, &lt;0 0 1 1|]
-EDOs: 80, 161, 482, 562, 643, 723, 1125, 1205, 1366, 1848, 2330, 2973, 3053, 4178, 6026
+EDOs: {{EDOs|80, 161, 482, 562, 643, 723, 1125, 1205, 1366, 1848, 2330, 2973, 3053, 4178, 6026}}
 [[Category:Edf]]
 [[Category:Edonoi]]