185edo: Difference between revisions

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== Theory ==

The ~~equal temperament~~ [[tempering out|tempers out]] ~~the [[comma]]s~~ [[126/125]], [[1029/1024]], [[6144/6125]] and [[243/242]], 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. With ~~185cff,~~ the val {{val| 185 293 '''429''' 519 640 '''~~686~~''' }}, it makes for a first-class tuning of ~~the~~ 13-limit [[miraculous]] ~~temperament~~.

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 ===

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=== Subsets and supersets ===

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

== Scales ==

* [[nova]]

* [[novadene]]

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 {{Infobox ET}}
-{{EDO intro}}
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 == Theory ==
-The equal temperament [[tempering out|tempers out]] the [[comma]]s [[126/125]], [[1029/1024]], [[6144/6125]] and [[243/242]], 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. With 185cff, the val {{val| 185 293 '''429''' 519 640 '''686''' }}, it makes for a first-class tuning of the 13-limit [[miraculous]] temperament.
+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 ===
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 === Subsets and supersets ===
 Since 185 factors into {{factorization|185}}, 185edo contains [[5edo]] and [[37edo]] as its subsets.
 == Scales ==
 * [[nova]]
 * [[novadene]]