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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
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| 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>2011-08-09 01:09:42 UTC</tt>.<br>
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| : The original revision id was <tt>244977691</tt>.<br>
| | 940edo is [[consistency|distinctly consistent]] through the [[11-odd-limit]]. The equal temperament [[tempering out|tempers out]] [[2401/2400]] in the 7-limit and [[5632/5625]] and [[9801/9800]] in the 11-limit, which means it [[support]]s [[decoid]] and in fact gives an excellent tuning for it. In the 13-limit, it tempers out [[676/675]], [[1001/1000]], [[1716/1715]], [[2080/2079]], [[4096/4095]] and [[4225/4224]], so that it supports and gives the [[optimal patent val]] for 13-limit decoid. It also gives the optimal patent val for the [[greenland]] and [[baffin]] temperaments, and for the rank-5 temperament tempering out 676/675. |
| : 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>
| | The non-patent val {{val| 940 1491 2184 2638 3254 3481 }} gives a tuning almost identical to the [[POTE tuning]] for the 13-limit [[pele]] temperament, tempering out 196/195, 352/351 and 364/363. |
| <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 //940 equal division// divides the octave into 940 equal parts of 1.277 cents each. It is uniquely [[consistent]] through the 11-limit, tempering out 2401/2400 in the 7-limit and 5632/5625 and 9801/9800 in the 11-limit, which means it supports [[Breedsmic temperaments#Decoid|decoid temperament]] and in fact gives an excellent tuning for it. In the 13-limit, it tempers out 676/675, 1001/1000, 1716/1715, 2080/2079, 4096/4095 and 4225/4224, so that it supports and gives the [[optimal patent val]] for 13-limit decoid. It also gives the optimal patent val for [[The Archipelago#Rank tree temperaments|greenland]] and [[The Archipelago#Rank tree temperaments|baffin]] temperaments, and for the rank five temperament temperament tempering out 676/675.</pre></div>
| | In higher limits, it is a satisfactory no-13's 23-limit tuning. Another thing to note is that its 15th harmonic is just barely off of the sum of mappings for 3rd and 5th harmonics, which adds a peculiarity to it where it has good 3/2 and 5/4, but 15/8 is one step off from the closest location. |
| <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>940edo</title></head><body>The <em>940 equal division</em> divides the octave into 940 equal parts of 1.277 cents each. It is uniquely <a class="wiki_link" href="/consistent">consistent</a> through the 11-limit, tempering out 2401/2400 in the 7-limit and 5632/5625 and 9801/9800 in the 11-limit, which means it supports <a class="wiki_link" href="/Breedsmic%20temperaments#Decoid">decoid temperament</a> and in fact gives an excellent tuning for it. In the 13-limit, it tempers out 676/675, 1001/1000, 1716/1715, 2080/2079, 4096/4095 and 4225/4224, so that it supports and gives the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-limit decoid. It also gives the optimal patent val for <a class="wiki_link" href="/The%20Archipelago#Rank tree temperaments">greenland</a> and <a class="wiki_link" href="/The%20Archipelago#Rank tree temperaments">baffin</a> temperaments, and for the rank five temperament temperament tempering out 676/675.</body></html></pre></div>
| | === Odd harmonics === |
| | {{Harmonics in equal|940}} |
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| | === Subsets and supersets === |
| | Since 940 factors into {{factorization|940}}, 940edo has subset edos {{EDOs| 2, 4, 5, 10, 20, 47, 94, 188, 235, 470 }}, of which 94edo is notable. |
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| | [[1880edo]], which doubles 940edo, provides good correction for harmonics 5 and 13, though the error of 3 has accumulated to the point of inconsistency in the 9-odd-limit. |