940edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 244977691 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 274576932 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-12 03:27:54 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>274576932</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<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> | <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. The non-patent val <940 1491 2184 2638 3254 3481| gives a tuning almost identical to the POTE tuning for the 13-limit [[Hemifamity family#Pele|pele temperament]] tempering out 196/195, 352/351 and 364/363.</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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> | <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. The non-patent val &lt;940 1491 2184 2638 3254 3481| gives a tuning almost identical to the POTE tuning for the 13-limit <a class="wiki_link" href="/Hemifamity%20family#Pele">pele temperament</a> tempering out 196/195, 352/351 and 364/363.</body></html></pre></div> | ||