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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>2011-03-24 00:11:44 UTC</tt>.<br>
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| : The original revision id was <tt>213464736</tt>.<br>
| | == Theory == |
| : The revision comment was: <tt></tt><br>
| | 102edo is [[enfactoring|enfactored]] in the [[5-limit]], where it [[tempering out|tempers out]] the same [[comma]]s ([[2048/2025]], [[15625/15552]], [[20000/19683]]) as [[34edo]]. In the [[7-limit]] it tempers out [[686/675]] and [[1029/1024]]; in the [[11-limit]] [[385/384]], [[441/440]] and [[4000/3993]]; in the [[13-limit]] [[91/90]] and [[169/168]]; in the [[17-limit]] [[136/135]] and [[154/153]]; and in the [[19-limit]] [[133/132]] and [[190/189]]. It is the [[optimal patent val]] for 13-limit [[Diaschismic family #Echidnic|echidnic]] temperament, and the rank-5 temperament tempering out 91/90. |
| 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>
| | === Odd harmonics === |
| <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 102 equal temperament divides the octave into 102 equal steps of size 11.765 cents each. It tempers out the same commas (2048/2025, 15625/15552, 20000/19683) as [[34edo]]. In the 7-limit it tempers out 686/675 and 1029/1024; in the 11-limit 385/384, 441/440 and 4000/3993; in the 13-limit 91/90 and 169/168; in the 17-limit 136/135 and 154/153; and in the 19-limit 133/132 and 190/189. It is the [[optimal patent val]] for 13-limit [[Diaschismic family|echidnic temperament]].</pre></div>
| | {{Harmonics in equal|102}} |
| <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>102edo</title></head><body>The 102 equal temperament divides the octave into 102 equal steps of size 11.765 cents each. It tempers out the same commas (2048/2025, 15625/15552, 20000/19683) as <a class="wiki_link" href="/34edo">34edo</a>. In the 7-limit it tempers out 686/675 and 1029/1024; in the 11-limit 385/384, 441/440 and 4000/3993; in the 13-limit 91/90 and 169/168; in the 17-limit 136/135 and 154/153; and in the 19-limit 133/132 and 190/189. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-limit <a class="wiki_link" href="/Diaschismic%20family">echidnic temperament</a>.</body></html></pre></div>
| | == Intervals == |
| | {{Interval table}} |
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| | [[Category:Echidnic]] |