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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The 2684 division divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any division until we reach [[5585edo|5585edo]]. It is distinctly consistent though the 17 limit, and is both a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak and zeta integral edo]]. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2684 = 2^2 * 11 * 61, so that [[22edo|22]] is a divisor. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-18 00:44:35 UTC</tt>.<br>
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| : The original revision id was <tt>556855705</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 2684 division divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any division until we reach [[5585edo]]. It is distinctly consistent though the 17 limit, and is both a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak and zeta integral edo]]. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2684 = 2^2 * 11 * 61, so that [[22edo|22]] is a divisor.</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>2684edo</title></head><body>The 2684 division divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any division until we reach <a class="wiki_link" href="/5585edo">5585edo</a>. It is distinctly consistent though the 17 limit, and is both a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta peak and zeta integral edo</a>. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2684 = 2^2 * 11 * 61, so that <a class="wiki_link" href="/22edo">22</a> is a divisor.</body></html></pre></div>
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Revision as of 00:00, 17 July 2018
The 2684 division divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit relative error than any division until we reach 5585edo. It is distinctly consistent though the 17 limit, and is both a zeta peak and zeta integral edo. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2684 = 2^2 * 11 * 61, so that 22 is a divisor.