269edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 274505592 - Original comment: **
m I think we can keep this one
Tag: Manual revert
 
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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>2011-11-11 17:05:58 UTC</tt>.<br>
 
: The original revision id was <tt>274505592</tt>.<br>
269edo is in[[consistent]] in the [[5-odd-limit]] and the errors of both [[harmonic]]s [[3/1|3]] and [[5/1|5]] are quite large. The [[patent val]] [[tempering out|tempers out]] [[6144/6125]] in the 7-limit, [[540/539]] and [[5632/5625]] in the 11-limit and [[364/363]] and [[676/675]] in the 13-limit. The 269c val tempers out [[225/224]] and [[4375/4374]] in the 7-limit, and 269ce [[385/384]] in the 11-limit, so that it [[support]]s and provides an excellent tuning for [[catakleismic]] and [[marvel]] temperaments.
: 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|269}}
<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 //269 equal division// divides the octave into 269 equal parts of 4.461 cents each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it supports and provides an excellent tuning for [[Kleismic family#Catakleismic|catakleismic]] and [[Marvel family|marvel]] temperaments.</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;269edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;269 equal division&lt;/em&gt; divides the octave into 269 equal parts of 4.461 cents each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and  and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it supports and provides an excellent tuning for &lt;a class="wiki_link" href="/Kleismic%20family#Catakleismic"&gt;catakleismic&lt;/a&gt; and &lt;a class="wiki_link" href="/Marvel%20family"&gt;marvel&lt;/a&gt; temperaments.&lt;/body&gt;&lt;/html&gt;</pre></div>
269edo is the 57th [[prime edo]].