473edo: Difference between revisions

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**Imported revision 241223639 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
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>2011-07-13 16:38:33 UTC</tt>.<br>
 
: The original revision id was <tt>241223639</tt>.<br>
473edo is in[[consistent]] to the [[5-odd-limit]] with large errors on both [[harmonic]]s [[3/1|3]] and [[5/1|5]]. It is most notable for [[tempering out]] the kleisma, [[15625/15552]], in the 5-limit and [[5120/5103]] in the 7-limit, providing the [[optimal patent val]] for the 7-limit [[countercata]] temperament.
: The revision comment was: <tt></tt><br>
 
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
=== Odd harmonics ===
<h4>Original Wikitext content:</h4>
{{Harmonics in equal|473}}
<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">The //473 equal division// divides the octave into 473 equal parts of 2.537 cents each. It tempers out the kleisma, 15625/15552, in the 5-limit and 5120/5103 in the 7-limit, providing the [[optimal patent val]] for 7-limit [[Kleismic family#Countercata|countercata temperament]]. </pre></div>
 
<h4>Original HTML content:</h4>
=== Subsets and supersets ===
<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;473edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;473 equal division&lt;/em&gt; divides the octave into 473 equal parts of 2.537 cents each. It tempers out the kleisma, 15625/15552, in the 5-limit and 5120/5103 in the 7-limit, providing the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 7-limit &lt;a class="wiki_link" href="/Kleismic%20family#Countercata"&gt;countercata temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
Since 473 factors into {{factorization|473}}, 473edo contains [[11edo]] and [[43edo]] as subsets.
 
[[Category:Countercata]]
[[Category:Kleismic]]