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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{ED intro}} |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-18 12:06:36 UTC</tt>.<br>
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| : The original revision id was <tt>556885495</tt>.<br>
| | 4501edo is a very strong high-limit system, distinctly [[consistent]] through the 39-odd-limit, and has the lowest [[31-limit|31-]] and [[37-limit]] [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] of any equal temperament until [[16808edo|16808]]. The 4501m val likewise performs well in the [[41-limit|41-]] and [[43-limit]], with the lowest relative error of any equal temperament until [[7361edo|7361]]. |
| : 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>
| | Some of the simpler commas it [[tempering out|tempers out]] include [[10648/10647]] and [[140625/140608]] in the 13-limit; [[14400/14399]], [[31213/31212]], and [[37180/37179]] in the 17-limit; 10830/10829, 14080/14079, and 27456/27455 in the 19-limit; 11662/11661, [[12168/12167]], 16929/16928, and 19551/19550 in the 23-limit; 11340/11339, 13312/13311, and 13456/13455 in the 29-limit; 7936/7935, 11935/11934, 15625/15624, [[19344/19343]], 23716/23715, 24025/24024, and 29792/29791 in the 31-limit. |
| <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 4501 division divides the octave into 4501 equal parts of 0.26661 cents each. It is a very strong 37-limit division, distinctly consistent through the 39 limit, and has the lowest 31-limit and 37-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] of any division until [[16808edo|16808]].</pre></div>
| | === Prime harmonics === |
| <h4>Original HTML content:</h4>
| | {{Harmonics in equal|4501|columns=15}} |
| <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>4501edo</title></head><body>The 4501 division divides the octave into 4501 equal parts of 0.26661 cents each. It is a very strong 37-limit division, distinctly consistent through the 39 limit, and has the lowest 31-limit and 37-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> of any division until <a class="wiki_link" href="/16808edo">16808</a>.</body></html></pre></div>
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| | === Subsets and supersets === |
| | Since 4501 factors into 7 × 643, 4501edo has subset edos [[7edo|7]] and [[643edo|643]]. |