643edo: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 601730884 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''643 equal division'' divides the octave into 643 equal parts of 1.866 cents each. It is uniquely [[consistent|consistent]] to the 21-limit, with a generally flat tendency. It tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, so that it supports [[Schismatic_family#Sesquiquartififths|sesquiquartififths temperament]]. In the 11-limit it tempers out 3025/3024 and | -1 3 -4 5 -2 &gt;; in the 13-limit 1001/1000, 1716/1715 and 4225/4224; in the 17-limit 1089/1088, 1701/1700, 2431/2430 and 2601/2600; and in the 19-limit 1331/1330, 1521/1520, 1729/1728, 2376/2375 and 2926/2925. It provides the [[Optimal_patent_val|optimal patent val]] for the rank three 13-limit temperament [[Breed_family#Vili|vili temperament]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
[[Category:sesquiquartififths]]
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-08 14:22:20 UTC</tt>.<br>
[[Category:vili]]
: The original revision id was <tt>601730884</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 //643 equal division// divides the octave into 643 equal parts of 1.866 cents each. It is uniquely [[consistent]] to the 21-limit, with a generally flat tendency. It tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, so that it supports [[Schismatic family#Sesquiquartififths|sesquiquartififths temperament]]. In the 11-limit it tempers out 3025/3024 and | -1 3 -4 5 -2 &gt;; in the 13-limit 1001/1000, 1716/1715 and 4225/4224; in the 17-limit 1089/1088, 1701/1700, 2431/2430 and 2601/2600; and in the 19-limit 1331/1330, 1521/1520, 1729/1728, 2376/2375 and 2926/2925. It provides the [[optimal patent val]] for the rank three 13-limit temperament [[Breed family#Vili|vili temperament]].</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;643edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;643 equal division&lt;/em&gt; divides the octave into 643 equal parts of 1.866 cents each. It is uniquely &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt; to the 21-limit, with a generally flat tendency. It tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, so that it supports &lt;a class="wiki_link" href="/Schismatic%20family#Sesquiquartififths"&gt;sesquiquartififths temperament&lt;/a&gt;. In the 11-limit it tempers out 3025/3024 and | -1 3 -4 5 -2 &amp;gt;; in the 13-limit 1001/1000, 1716/1715 and 4225/4224; in the 17-limit 1089/1088, 1701/1700, 2431/2430 and 2601/2600; and in the 19-limit 1331/1330, 1521/1520, 1729/1728, 2376/2375 and 2926/2925. It provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for the rank three 13-limit temperament &lt;a class="wiki_link" href="/Breed%20family#Vili"&gt;vili temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>