313edo: Difference between revisions

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VisualWikitext

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|313}}
+{{ED intro}}
 == Theory ==
@@ Line 12: / Line 12: @@
 == Regular temperament properties ==
-{{comma basis begin}}
+{| class="wikitable center-4 center-5 center-6"
+|-
+! rowspan="2" | [[Subgroup]]
+! rowspan="2" | [[Comma list]]
+! rowspan="2" | [[Mapping]]
+! rowspan="2" | Optimal<br />8ve stretch (¢)
+! colspan="2" | Tuning error
+|-
+! [[TE error|Absolute]] (¢)
+! [[TE simple badness|Relative]] (%)
 |-
 | 2.3
@@ Line 24: / Line 33: @@
 | 32805/32768, {{monzo| -1 49 -33 }}
 | {{mapping| 313 496 727 }}
-| &minus;0.055
+| −0.055
 | 0.254
 | 6.64
@@ Line 31: / Line 40: @@
 | 6144/6125, 19683/19600, 40500000/40353607
 | {{mapping| 313 496 727 879 }}
-| &minus;0.143
+| −0.143
 | 0.268
 | 6.99
@@ Line 38: / Line 47: @@
 | 540/539, 5632/5625, 8019/8000, 43923/43904
 | {{mapping| 313 496 727 879 1083 }}
-| &minus;0.158
+| −0.158
 | 0.242
 | 6.30
@@ Line 45: / Line 54: @@
 | 351/350, 540/539, 676/675, 4096/4095, 43923/43904
 | {{mapping| 313 496 727 879 1083 1158 }}
-| &minus;0.091
+| −0.091
 | 0.267
 | 6.97
@@ Line 51: / Line 60: @@
 === Rank-2 temperaments ===
-{{rank-2 begin}}
+{| class="wikitable center-all left-5"
+|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
+|-
+! Periods<br />per 8ve
+! Generator*
+! Cents*
+! Associated<br />ratio*
+! Temperaments
 |-
 | 1
@@ Line 69: / Line 85: @@
 | 498.40
 | 4/3
-| [[Helmholtz]]
+| [[Helmholtz (temperament)|Helmholtz]]
 |-
 | 1
@@ Line 76: / Line 92: @@
 | 847/600
 | [[Vydubychi]]
-{{rank-2 end}}
+|}
-{{orf}}
+<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 == Scales ==
@@ Line 85: / Line 101: @@
 {| class="wikitable right-2"
-|+ style="font-size: 105%;" | Madagascar[9] (or Barbados[9]) scale
+|+ style="font-size: 105%;" | Madagascar[9] (Barbados[9]) scale
 |-
 ! Step
@@ Line 93: / Line 109: @@
 | 53 (53\313)
 | 203.195
-| [[9/8]] (&minus;0.715 ¢)
+| [[9/8]] (−0.715¢)
 |-
 | 12 (65\313)
 | 249.201
-| [[15/13]] (+1.46 ¢)
+| [[15/13]] (+1.46¢)
 |-
 | 53 (118\313)
 | 452.396
-| [[13/10]] (&minus;1,818 ¢)
+| [[13/10]] (−1,818¢)
 |-
 | 12 (130\313)
 | 498.403
-| [[4/3]] (+0.358 ¢)
+| [[4/3]] (+0.358¢)
 |-
 | 53 (183\313)
 | 701.597
-| [[3/2]] (&minus;0.358 ¢)
+| [[3/2]] (−0.358¢)
 |-
 | 12 (195\313)
 | 747.604
-| [[20/13]] (+1.818 ¢)
+| [[20/13]] (+1.818¢)
 |-
 | 53 (248\313)
 | 950.799
-| [[26/15]] (&minus;1.46 ¢)
+| [[26/15]] (−1.46¢)
 |-
 | 12 (260\313)
 | 996.805
-| [[16/9]] (+0.715 ¢)
+| [[16/9]] (+0.715¢)
 |-
 | 53 (313\313)
 | 1200.000
-| [[2/1]] (0 ¢)
+| [[2/1]] (0¢)
 |}
-{{orf}}
+<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 == Music ==
@@ Line 133: / Line 149: @@
 ; [[User:Francium|Francium]]
-* "Calling Voices" from ''HemischisMatic EP'' (2023) &ndash; [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] | [https://francium223.bandcamp.com/track/calling-voices Bandcamp] | [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] &ndash; hemischis in 313edo tuning
+* "Calling Voices" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] | [https://francium223.bandcamp.com/track/calling-voices Bandcamp] | [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] – in Hemischis, 313edo tuning
+* "Fried Rolled Up Trousers With Fish Sauce" from ''Unsuspecting Tyrant Double-Decker Beef Fort'' (2026) – [https://open.spotify.com/track/4Gnz6Dagdkg5C35osK1HXa Spotify] | [https://francium223.bandcamp.com/track/fried-rolled-up-trousers-with-fish-sauce Bandcamp] | [https://www.youtube.com/watch?v=ZSq62yTs3p0 YouTube]
+; [[Sevish]]
+* ''[[Desert Island Rain]]''
+* ''[[Disorient]]''
+* ''[[Never Coming Home]]''
+* ''[[Never Coming Home (Remix)]]''
+* ''[[Septillion Reptilians]]''
 [[Category:Albus]]