350edo: Difference between revisions

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**Imported revision 240142083 - 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>2011-07-05 22:56:19 UTC</tt>.<br>
 
: The original revision id was <tt>240142083</tt>.<br>
350edo has a sharp tendency, with [[harmonic]]s 3 to 11 all tuned sharp. The equal temperament [[tempering out|tempers out]] 1600000/1594323, the [[amity comma]], in the 5-limit, and [[4375/4374]], [[5120/5103]] and [[6144/6125]] in the 7-limit, and it provides the [[optimal patent val]] for the 7-limit [[amity]] temperament. In the 11-limit it tempers out [[3025/3024]] and [[9801/9800]], and provides the optimal patent val for 11-limit [[hemiamity]], whereas the 350f [[val]] is an excellent tuning for 13-limit hemiamity.  
: 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|350}}
<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 //350 equal division// divides the octave into 350 equal parts of 3.429 cents each. It tempers out 1600000/1594323, the amity comma, in the 5-limit, and 4375/4374, 5120/5103 and 6144/6125 in the 7-limit, and it provides the [[optimal patent val]] for [[Ragismic microtemperaments#Amity|amity temperament]]. In the 11-limit it tempers out 3025/3024 and 9801/9800, and provides the optimal patent val for hemiamity 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;350edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;350 equal division&lt;/em&gt; divides the octave into 350 equal parts of 3.429 cents each. It tempers out 1600000/1594323, the amity comma, in the 5-limit, and 4375/4374, 5120/5103 and 6144/6125 in the 7-limit, and it provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Amity"&gt;amity temperament&lt;/a&gt;. In the 11-limit it tempers out 3025/3024 and 9801/9800, and provides the optimal patent val for hemiamity temperament.&lt;/body&gt;&lt;/html&gt;</pre></div>
Since 350 factors into {{factorization|350}}, 350edo has subset edos {{EDOs| 2, 5, 7, 10, 14, 25, 35, 50, 70 and 175 }}.
 
[[Category:Amity]]
[[Category:Hemiamity]]