346edo: Difference between revisions

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**Imported revision 155492901 - 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>2010-08-06 19:37:19 UTC</tt>.<br>
 
: The original revision id was <tt>155492901</tt>.<br>
346edo is [[consistent]] to the [[7-odd-limit]], but the errors of [[harmonic]]s [[3/1|3]], [[5/1|5]], and [[7/1|7]] are all quite large, commending itself as a 2.9.15.21.11 [[subgroup]] temperament. Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is an excellent tuning for the 11-limit version of [[harry]], the 72 &amp; 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440.
: 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|346}}
<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">//346edo// divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&amp;130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.</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;346edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;346edo&lt;/em&gt; divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&amp;amp;130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.&lt;/body&gt;&lt;/html&gt;</pre></div>
Since 346 factors into {{factorization|346}}, 346edo contains [[2edo]] and [[173edo]] as subsets.  
 
[[Category:Nano]]