49edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 590256146 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 591048934 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016- | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-04 21:02:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>591048934</tt>.<br> | ||
: The revision comment was: <tt></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> | 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> | <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 49 equal | <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 49 equal division divides the octave into 49 equal parts of 24.490 [[cent]]s each. It is very much on the sharp side of things, with sharp tunings of 3 (it is the first square equal division with a "real" 3 of size coprime to its cardinality), 5, 7, and 11. It is the [[optimal patent val]] for [[Superpyth|superpyth temperament]] in the 7 and 11 limits, archytas ([[7-limit]]) and [[Archytas clan|ares]] ([[11-limit]]) planar temperaments and almost identical to the e-based analog of [[LucyTuning]]. It [[tempering out|tempers out]] 64/63, 245/243 and 3125/3087 in the 7-limit, and 100/99 and 1375/1372 in the 11-limit.</pre></div> | ||
<h4>Original HTML content:</h4> | <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"><html><head><title>49edo</title></head><body>The 49 equal | <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"><html><head><title>49edo</title></head><body>The 49 equal division divides the octave into 49 equal parts of 24.490 <a class="wiki_link" href="/cent">cent</a>s each. It is very much on the sharp side of things, with sharp tunings of 3 (it is the first square equal division with a &quot;real&quot; 3 of size coprime to its cardinality), 5, 7, and 11. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Superpyth">superpyth temperament</a> in the 7 and 11 limits, archytas (<a class="wiki_link" href="/7-limit">7-limit</a>) and <a class="wiki_link" href="/Archytas%20clan">ares</a> (<a class="wiki_link" href="/11-limit">11-limit</a>) planar temperaments and almost identical to the e-based analog of <a class="wiki_link" href="/LucyTuning">LucyTuning</a>. It <a class="wiki_link" href="/tempering%20out">tempers out</a> 64/63, 245/243 and 3125/3087 in the 7-limit, and 100/99 and 1375/1372 in the 11-limit.</body></html></pre></div> | ||