23edf: Difference between revisions

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VisualWikitext

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-Twenty-three equal divisions of the perfect fifth (23ed3/2)
+{{Infobox ET}}
+'''23EDF''' is the [[EDF|equal division of the just perfect fifth]] into 23 parts of 30.5198 [[cents]] each, corresponding to 39.3188 [[edo]] (similar to every third step of [[118edo]]).
-Rank 1 scale with step size of 30.52 cents.
+==History==
+A proponent of 23edf is [[Petr Pařízek]]. The first to write about 23edf on this wiki was [[Todd Harrop]] in 2015.
-Close to 39ed2 and/or 62ed3, however, the respective
+==Theory==
+edf is close to [[39edo]] and/or [[62edt]], however, the respective [[octave]] and [[tritave|twelfth]] would need to be nearly 10 cents flat.
-octave and twelfth would need to be nearly 10 cents flat.
+Some intervals in table below, selected on the basis of single-use of [[prime]]s (for most cases):
-A proponent of this scale is Petr Pařízek.
-Some intervals in table below, selected on the basis of
-single-use of primes (for most cases):
 {| class="wikitable"
@@ Line 85: / Line 82: @@
 | style="text-align:center;" | 7/2
 | style="text-align:center;" | –1.9¢
+|}
+=== Harmonics ===
+{{Harmonics in equal|23|3|2}}
+{{Harmonics in equal|23|3|2|start=12|collapsed=1}}
+== Intervals ==
+{| class="wikitable mw-collapsible"
+|+ Intervals of 23edf
+|-
+!Step number
+!Size (cents)
+|-
+|1
+|30.5198
+|-
+|2
+|61.0296
+|-
+|3
+|91.55935
+|-
+|4
+|122.0791
+|-
+|5
+|152.5989
+|-
+|6
+|183.1187
+|-
+|7
+|213.6385
+|-
+|8
+|244.1583
+|-
+|9
+|274.678
+|-
+|10
+|305.1978
+|-
+|11
+|335.7176
+|-
+|12
+|366.2374
+|-
+|13
+|396.7572
+|-
+|14
+|427.277
+|-
+|15
+|457.7967
+|-
+|16
+|488.3165
+|-
+|17
+|518.8363
+|-
+|18
+|549.3561
+|-
+|19
+|579.8759
+|-
+|20
+|610.39565
+|-
+|21
+|640.9154
+|-
+|22
+|671.4352
+|-
+|23
+|701.955
+|-
+|24
+|732.4748
+|-
+|25
+|762.9946
+|-
+|26
+|793.51435
+|-
+|27
+|824.0341
+|-
+|28
+|854.5539
+|-
+|29
+|885.0737
 |-
-| style="text-align:center;" |
+|30
-| style="text-align:center;" |
+|915.5935
-| style="text-align:center;" |
+|-
-| style="text-align:center;" |
+|31
+|946.1133
+|-
+|32
+|976.633
+|-
+|33
+|1007.1529
+|-
+|34
+|1037.6726
+|-
+|35
+|1068.1924
+|-
+|36
+|1098.7122
+|-
+|37
+|1129.232
+|-
+|38
+|1159.7517
+|-
+|39
+|1190.2715
+|-
+|40
+|1220.7913
+|-
+|41
+|1251.3111
+|-
+|42
+|1281.8309
+|-
+|43
+|1312.35065
+|-
+|44
+|1342.8704
+|-
+|45
+|1373.3902
+|-
+|46
+|1403.91
 |}
-–Todd Harrop (June 2015)
+{{todo|inline=1|complete table|text=Add at least one more column, showing what the notes are named, what JI they approximate, or anything else interesting about them individually.}}
-[[Category:31edo]]
-[[Category:edf]]
+{{todo|expand}}
 [[Category:nonoctave]]
-[[Category:what_is]]
-[[Category:wiki]]