185edo: Difference between revisions

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~~'''185edo''' divides the~~ [[~~Octave|octave~~]] ~~into 185 equal steps~~ of ~~size 6.4865~~ [[~~cent|cent]]s each. It [[tempering_out~~|tempers out]] ~~the~~ [[~~Comma|comma]]s~~ 126/125, 1029/1024, 6144/6125 and 243/242, making it useful for various purposes. It is an excellent tuning for [[~~Starling_family|~~starling ~~temperament~~]], the [[~~7-limit|~~7-limit]] [[~~Planar_Temperament|~~planar temperament]] tempering out 126/125; [[~~Starling_family#Valentine temperament|~~valentine ~~temperament~~]], which also tempers out 1029/1024; and ~~the rank three 89&154&185 temperament~~ tempering out 126/125 and 243/242. With ~~185dff,~~ the val ~~<~~185 293 429 519 640 ~~686|~~, it makes for a first-class tuning of ~~the~~ 13-limit [[~~Gamelismic_clan#Miracle-Miraculous~~|~~miraculous temperament~~]].

== Theory ==

The [[patent val]] of 185edo [[tempering out|tempers out]] [[126/125]], [[1029/1024]], [[6144/6125]] in the 7-limit, and [[243/242]] in the 11-limit, making it useful for various purposes. It is an excellent tuning for [[starling]], the [[7-limit]] [[planar temperament]] tempering out 126/125; [[valentine]], which also tempers out 1029/1024; and [[cuckoo]], tempering out 126/125 and 243/242.

Using the 185c val, it tempers out [[225/224]] and 1029/1024 in the 7-limit, 243/242, [[385/384]], [[441/440]], and [[540/539]] in the 11-limit, providing a great alternative to [[72edo]] for [[miracle]]. With the 185cf val {{val| 185 293 '''429''' 519 640 '''684''' }}, it makes for an excellent tuning of 13-limit [[manna]]. Meanwhile the 185cff val {{val| 185 293 '''429''' 519 640 '''686''' }} is a first-class tuning of 13-limit [[miraculous]].

=== Odd harmonics ===

=== Subsets and supersets ===

Since 185 factors into {{factorization|185}}, 185edo contains [[5edo]] and [[37edo]] as its subsets.

== Scales ==

~~<ul><li>~~[[~~nova|~~nova]]~~</li><li>~~[[novadene~~|novadene]]</li></ul> [[Category:185edo]]~~

* [[nova]]

~~[[Category:edo]]~~

* [[novadene]]

~~[[Category:theory~~]]

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-'''185edo''' divides the [[Octave|octave]] into 185 equal steps of size 6.4865 [[cent|cent]]s each. It [[tempering_out|tempers out]] the [[Comma|comma]]s 126/125, 1029/1024, 6144/6125 and 243/242, making it useful for various purposes. It is an excellent tuning for [[Starling_family|starling temperament]], the [[7-limit|7-limit]] [[Planar_Temperament|planar temperament]] tempering out 126/125; [[Starling_family#Valentine temperament|valentine temperament]], which also tempers out 1029/1024; and the rank three 89&amp;154&amp;185 temperament tempering out 126/125 and 243/242. With 185dff, the val &lt;185 293 429 519 640 686|, it makes for a first-class tuning of the 13-limit [[Gamelismic_clan#Miracle-Miraculous|miraculous temperament]].
+{{Infobox ET}}
+{{ED intro}}
+== Theory ==
+The [[patent val]] of 185edo [[tempering out|tempers out]] [[126/125]], [[1029/1024]], [[6144/6125]] in the 7-limit, and [[243/242]] in the 11-limit, making it useful for various purposes. It is an excellent tuning for [[starling]], the [[7-limit]] [[planar temperament]] tempering out 126/125; [[valentine]], which also tempers out 1029/1024; and [[cuckoo]], tempering out 126/125 and 243/242.
+Using the 185c val, it tempers out [[225/224]] and 1029/1024 in the 7-limit, 243/242, [[385/384]], [[441/440]], and [[540/539]] in the 11-limit, providing a great alternative to [[72edo]] for [[miracle]]. With the 185cf val {{val| 185 293 '''429''' 519 640 '''684''' }}, it makes for an excellent tuning of 13-limit [[manna]]. Meanwhile the 185cff val {{val| 185 293 '''429''' 519 640 '''686''' }} is a first-class tuning of 13-limit [[miraculous]].
+=== Odd harmonics ===
+{{Harmonics in equal|185}}
+=== Subsets and supersets ===
+Since 185 factors into {{factorization|185}}, 185edo contains [[5edo]] and [[37edo]] as its subsets.
 == Scales ==
-<ul><li>[[nova|nova]]</li><li>[[novadene|novadene]]</li></ul>      [[Category:185edo]]
+* [[nova]]
-[[Category:edo]]
+* [[novadene]]
-[[Category:theory]]