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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The 49 equal division divides the octave into 49 equal parts of 24.490 [[cent|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|optimal patent val]] for [[Superpyth|superpyth temperament]] in the 7 and 11 limits, archytas ([[7-limit|7-limit]]) and [[Archytas_clan|ares]] ([[11-limit|11-limit]]) planar temperaments and almost identical to the e-based analog of [[LucyTuning|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. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | [[Category:edo]] |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-04 21:02:00 UTC</tt>.<br>
| | [[Category:superpyth]] |
| : The original revision id was <tt>591048934</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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>
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| <h4>Original HTML content:</h4>
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| <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>
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Revision as of 00:00, 17 July 2018
The 49 equal division divides the octave into 49 equal parts of 24.490 cents 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 temperament in the 7 and 11 limits, archytas (7-limit) and ares (11-limit) planar temperaments and almost identical to the e-based analog of LucyTuning. It tempers out 64/63, 245/243 and 3125/3087 in the 7-limit, and 100/99 and 1375/1372 in the 11-limit.