217edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 244585205 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''217 equal division'' divides the octave into 217 equal parts of 5.530 cents each. It is a strong 19-limit system, the smallest uniquely [[consistent|consistent]] in the 19-limit and consistent to the 21-limit. In the 5-limit it tempers out the parakleisma, |8 14 -13&gt;, and the escapade comma, |32 -7 -9&gt;; in the 7-limit 10976/10935, 3136/3125 and 4375/4374; in the 11-limit 441/440, 4000/3993 and 5632/5625; in the 13-limit 364/363, 676/675, 1001/1000, 1575/1573 and 2080/2079; in 17-limit 595/594, 833/832, 936/935, 1156/1155, 1225/1224, 1701/1700; in the 19-limit 343/342, 476/475, 969/968, 1216/1215, 1445/1444, 1521/1520 and 1540/1539.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-06 03:41:26 UTC</tt>.<br>
: The original revision id was <tt>244585205</tt>.<br>
: 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>
<h4>Original Wikitext content:</h4>
<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 //217 equal division// divides the octave into 217 equal parts of 5.530 cents each. It is a strong 19-limit system, the smallest uniquely [[consistent]] in the 19-limit and consistent to the 21-limit. In the 5-limit it tempers out the parakleisma, |8 14 -13&gt;, and the escapade comma, |32 -7 -9&gt;; in the 7-limit 10976/10935, 3136/3125 and 4375/4374; in the 11-limit 441/440, 4000/3993 and 5632/5625; in the 13-limit 364/363, 676/675, 1001/1000, 1575/1573 and 2080/2079; in 17-limit 595/594, 833/832, 936/935, 1156/1155, 1225/1224, 1701/1700; in the 19-limit 343/342, 476/475, 969/968, 1216/1215, 1445/1444, 1521/1520 and 1540/1539.</pre></div>
<h4>Original HTML content:</h4>
<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;217edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;217 equal division&lt;/em&gt; divides the octave into 217 equal parts of 5.530 cents each. It is a strong 19-limit system, the smallest uniquely &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt; in the 19-limit and consistent to the 21-limit. In the 5-limit it tempers out the parakleisma, |8 14 -13&amp;gt;, and the escapade comma, |32 -7 -9&amp;gt;; in the 7-limit 10976/10935, 3136/3125 and 4375/4374; in the 11-limit 441/440, 4000/3993 and 5632/5625; in the 13-limit 364/363, 676/675, 1001/1000, 1575/1573 and 2080/2079; in 17-limit 595/594, 833/832, 936/935, 1156/1155, 1225/1224, 1701/1700; in the 19-limit 343/342, 476/475, 969/968, 1216/1215, 1445/1444, 1521/1520 and 1540/1539.&lt;/body&gt;&lt;/html&gt;</pre></div>