185edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-18 23:57:01 UTC</tt>.<br>
 
: The original revision id was <tt>303065724</tt>.<br>
== Theory ==
: The revision comment was: <tt></tt><br>
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.
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 
<h4>Original Wikitext content:</h4>
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]].
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**185edo** divides the [[octave]] into 185 equal steps of size 6.4865 [[cent]]s each. It [[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 family|starling temperament]], the [[7-limit]] [[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]].
 
=== Odd harmonics ===
{{Harmonics in equal|185}}
 
=== Subsets and supersets ===
Since 185 factors into {{factorization|185}}, 185edo contains [[5edo]] and [[37edo]] as its subsets.


== Scales ==
== Scales ==
* [[stardene]]</pre></div>
* [[nova]]
<h4>Original HTML content:</h4>
* [[novadene]]
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;185edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;185edo&lt;/strong&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 185 equal steps of size 6.4865 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s 126/125, 1029/1024, 6144/6125 and 243/242, making it useful for various purposes. It is an excellent tuning for &lt;a class="wiki_link" href="/Starling%20family"&gt;starling temperament&lt;/a&gt;, the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt; tempering out 126/125; &lt;a class="wiki_link" href="/Starling%20family#Valentine temperament"&gt;valentine temperament&lt;/a&gt;, which also tempers out 1029/1024; and the rank three 89&amp;amp;154&amp;amp;185 temperament tempering out 126/125 and 243/242. With 185dff, the val &amp;lt;185 293 429 519 640 686|, it makes for a first-class tuning of the 13-limit &lt;a class="wiki_link" href="/Gamelismic%20clan#Miracle-Miraculous"&gt;miraculous temperament&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; Scales &lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stardene"&gt;stardene&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>