388edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 388 equal division divides the octave into 388 equal parts of 3.0928 cents each. 388edo is the first edo that is uniquely [[consistent|consistent]] through to the [[27-limit|27-limit]]; it is also consistent through the 37-limit.
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>2011-08-07 12:43:43 UTC</tt>.<br>
: The original revision id was <tt>244707915</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 388 equal division divides the octave into 388 equal parts of 3.0928 cents each. 388edo is the first edo that is uniquely [[consistent]] through to the [[27-limit]]; it is also consistent through the 37-limit.


388 tempers out the vishnuzma, |23 6 -14&gt;, in the 5-limit, 4375/4374 and 235298/234375 in the 7-limit, and 5632/5625, 3025/3024 and 9801/9800 in the 11-limit and 847/845, 1001/1000 and 4096/4095 in the 13-limit. It is the [[optimal patent val]] for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, eg 198&amp;388. By tempering out cuthbert it supports the [[cuthbert triad]].</pre></div>
388 tempers out the vishnuzma, |23 6 -14&gt;, in the 5-limit, 4375/4374 and 235298/234375 in the 7-limit, and 5632/5625, 3025/3024 and 9801/9800 in the 11-limit and 847/845, 1001/1000 and 4096/4095 in the 13-limit. It is the [[Optimal_patent_val|optimal patent val]] for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, eg 198&amp;388. By tempering out cuthbert it supports the [[cuthbert_triad|cuthbert triad]].
<h4>Original HTML content:</h4>
[[Category:consistent]]
<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;388edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 388 equal division divides the octave into 388 equal parts of 3.0928 cents each. 388edo is the first edo that is uniquely &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt; through to the &lt;a class="wiki_link" href="/27-limit"&gt;27-limit&lt;/a&gt;; it is also consistent through the 37-limit.&lt;br /&gt;
[[Category:cuthbert]]
&lt;br /&gt;
388 tempers out the vishnuzma, |23 6 -14&amp;gt;, in the 5-limit, 4375/4374 and 235298/234375 in the 7-limit, and 5632/5625, 3025/3024 and 9801/9800 in the 11-limit and 847/845, 1001/1000 and 4096/4095 in the 13-limit. It is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, eg 198&amp;amp;388. By tempering out cuthbert it supports the &lt;a class="wiki_link" href="/cuthbert%20triad"&gt;cuthbert triad&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 388 equal division divides the octave into 388 equal parts of 3.0928 cents each. 388edo is the first edo that is uniquely consistent through to the 27-limit; it is also consistent through the 37-limit.

388 tempers out the vishnuzma, |23 6 -14>, in the 5-limit, 4375/4374 and 235298/234375 in the 7-limit, and 5632/5625, 3025/3024 and 9801/9800 in the 11-limit and 847/845, 1001/1000 and 4096/4095 in the 13-limit. It is the optimal patent val for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, eg 198&388. By tempering out cuthbert it supports the cuthbert triad.