131edo: Difference between revisions

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== Theory ==

131edo is the next [[~~EDO~~]], after [[81edo]], on the "[[Golden meantone|Golden Tone System]]" ([[Das Goldene Tonsystem]]) of Thorvald Kornerup, using the 131b val. The patent val has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out 81/80 it tempers out the immunity comma, 1638400/1594323. In the 7-limit it tempers out 3125/3087 and 245/243, so that it [[support]]s [[~~Sensamagic clan #Bohpier|~~bophier ~~temperament~~]].

131edo is the next [[edo]] after [[81edo]] on the [[Golden meantone|Golden Tone System]] (''[[Das Goldene Tonsystem]]'') of Thorvald Kornerup, using the 131b [[val]]. The [[patent val]] has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out [[81/80]] it tempers out the [[immunity comma]], 1638400/1594323. In the 7-limit it tempers out [[3125/3087]] and [[245/243]], so that it [[support]]s [[bophier]].

~~131edo is the 32nd [[prime]] EDO.~~

=== Odd harmonics ===

~~<u>'''Some MOS Scales in 131-EDO:'''</u>~~

=== Subsets and supersets ===

131edo is the 32nd [[prime]] edo.

== Scales ==

=== Mos scales ===

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~~[[Category:131edo| ]] ~~

~~[[Category:Equal divisions of the octave|###]] ~~

[[Category:Armodue]]

[[Category:Bohpier]]

~~[[Category:Golden meantone]]~~

[[Category:Immunity]]

[[Category:Meantone]]

[[Category:~~Prime EDO~~]]

[[Category:Golden meantone]]

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 == Theory ==
-edo is the next [[EDO]], after [[81edo]], on the "[[Golden meantone|Golden Tone System]]" ([[Das Goldene Tonsystem]]) of Thorvald Kornerup, using the 131b val. The patent val has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out 81/80 it tempers out the immunity comma, 1638400/1594323. In the 7-limit it tempers out 3125/3087 and 245/243, so that it [[support]]s [[Sensamagic clan #Bohpier|bophier temperament]].
+edo is the next [[edo]] after [[81edo]] on the [[Golden meantone|Golden Tone System]] (''[[Das Goldene Tonsystem]]'') of Thorvald Kornerup, using the 131b [[val]]. The [[patent val]] has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out [[81/80]] it tempers out the [[immunity comma]], 1638400/1594323. In the 7-limit it tempers out [[3125/3087]] and [[245/243]], so that it [[support]]s [[bophier]].
-edo is the 32nd [[prime]] EDO.
+=== Odd harmonics ===
-{{harmonics in equal|131|start=2|intervals=prime}}
+{{Harmonics in equal|131}}
-<u>'''Some MOS Scales in 131-EDO:'''</u>
+=== Subsets and supersets ===
+edo is the 32nd [[prime]] edo.
+== Scales ==
+=== Mos scales ===
 {| class="wikitable"
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 |}
-[[Category:131edo| ]] <!-- main article -->
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Armodue]]
 [[Category:Bohpier]]
-[[Category:Golden meantone]]
 [[Category:Immunity]]
 [[Category:Meantone]]
-[[Category:Prime EDO]]
+[[Category:Golden meantone]]