215edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 240148957 - Original comment: **
ArrowHead294 (talk | contribs)
mNo edit summary
 
(8 intermediate revisions by 7 users not shown)
Line 1: Line 1:
<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>2011-07-06 00:09:16 UTC</tt>.<br>
 
: The original revision id was <tt>240148957</tt>.<br>
215et [[tempering out|tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].
: 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|215}}
<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 //215 equal temperament// divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[optimal patent val]] for the 3&amp;53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2410/2400, 5120/5103, and supports [[Breedsmic temperaments#Hemififths|hemififths]] 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;215edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;215 equal temperament&lt;/em&gt; divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for the 3&amp;amp;53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2410/2400, 5120/5103, and supports &lt;a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths"&gt;hemififths&lt;/a&gt; temperament.&lt;/body&gt;&lt;/html&gt;</pre></div>
Since 215 factors into 5 × 43, 215edo contains [[5edo]] and [[43edo]] as its subsets.  
 
[[Category:Ditonic]]
[[Category:Octagar]]