6691edo: Difference between revisions

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**Imported revision 557120599 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 6691 division divides the octave into 6691 equal parts of 0.17935 cents each. It is a very strong 11-limit division, with a lower 11-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any division until [[40006edo|40006]]. It is also strong in the 7-limit, where only [[3125edo|3125]] is both smaller and with a lesser relative error. A basis for the 11-limit commas is {1771561/1771470, 3294225/3294172, 67110351/67108864, 78125000/78121827} and for the 7-limit commas, {78125000/78121827, 281484423828125/281474976710656, 8936733825332544112/8936247052719140625}.
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>2015-08-21 12:53:35 UTC</tt>.<br>
: The original revision id was <tt>557120599</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 6691 division divides the octave into 6691 equal parts of 0.17935 cents each. It is a very strong 11-limit division, with a lower 11-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any division until [[40006edo|40006]]. It is also strong in the 7-limit, where only [[3125edo|3125]] is both smaller and with a lesser relative error. A basis for the 11-limit commas is {1771561/1771470, 3294225/3294172, 67110351/67108864, 78125000/78121827} and for the 7-limit commas, {78125000/78121827, 281484423828125/281474976710656, 8936733825332544112/8936247052719140625}.</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;6691edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 6691 division divides the octave into 6691 equal parts of 0.17935 cents each. It is a very strong 11-limit division, with a lower 11-limit &lt;a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness"&gt;relative error&lt;/a&gt; than any division until &lt;a class="wiki_link" href="/40006edo"&gt;40006&lt;/a&gt;. It is also strong in the 7-limit, where only &lt;a class="wiki_link" href="/3125edo"&gt;3125&lt;/a&gt; is both smaller and with a lesser relative error. A basis for the 11-limit commas is {1771561/1771470, 3294225/3294172, 67110351/67108864, 78125000/78121827} and for the 7-limit commas, {78125000/78121827, 281484423828125/281474976710656, 8936733825332544112/8936247052719140625}.&lt;/body&gt;&lt;/html&gt;</pre></div>