814edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''814 equal division'' divides the octave into 814 equal parts of 1.474 cents each.It is uniquely [[consistent|consistent]] to the 17-limit and is a strong 17-limit system. It tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, so that it supports and gives a good tuning for [[Schismatic_family#Sesquiquartififths|sesquiquartififths temperament]]. In the 11-limit it tempers out 9801/9800, in the 13-limit 4224/4224 and 6656/6655, and in the 17-limit 1701/1700, 2058/2057, 2601/2600, 4914/4913 and 5832/5831. The 171&amp;643 temperament gives an extension of sesquiquartififths to the 17-limit for which 814edo provides the [[Optimal_patent_val|optimal patent val]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
[[Category:sesquiquartififths]]
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-08 03:20:12 UTC</tt>.<br>
: The original revision id was <tt>244799071</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 //814 equal division// divides the octave into 814 equal parts of 1.474 cents each.It is uniquely [[consistent]] to the 17-limit and is a strong 17-limit system. It tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, so that it supports and gives a good tuning for [[Schismatic family#Sesquiquartififths|sesquiquartififths temperament]]. In the 11-limit it tempers out 9801/9800, in the 13-limit 4224/4224 and 6656/6655, and in the 17-limit 1701/1700, 2058/2057, 2601/2600, 4914/4913 and 5832/5831. The 171&amp;643 temperament gives an extension of sesquiquartififths to the 17-limit for which 814edo provides the [[optimal patent val]].</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;814edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;814 equal division&lt;/em&gt; divides the octave into 814 equal parts of 1.474 cents each.It is uniquely &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt; to the 17-limit and is a strong 17-limit system. It tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, so that it supports and gives a good tuning for &lt;a class="wiki_link" href="/Schismatic%20family#Sesquiquartififths"&gt;sesquiquartififths temperament&lt;/a&gt;. In the 11-limit it tempers out 9801/9800, in the 13-limit 4224/4224 and 6656/6655, and in the 17-limit 1701/1700, 2058/2057, 2601/2600, 4914/4913 and 5832/5831. The 171&amp;amp;643 temperament gives an extension of sesquiquartififths to the 17-limit for which 814edo provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 814 equal division divides the octave into 814 equal parts of 1.474 cents each.It is uniquely consistent to the 17-limit and is a strong 17-limit system. It tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, so that it supports and gives a good tuning for sesquiquartififths temperament. In the 11-limit it tempers out 9801/9800, in the 13-limit 4224/4224 and 6656/6655, and in the 17-limit 1701/1700, 2058/2057, 2601/2600, 4914/4913 and 5832/5831. The 171&643 temperament gives an extension of sesquiquartififths to the 17-limit for which 814edo provides the optimal patent val.