940edo

Revision as of 03:27, 12 November 2011 by Wikispaces>genewardsmith (**Imported revision 274576932 - Original comment: **)

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This revision was by author genewardsmith and made on 2011-11-12 03:27:54 UTC.
The original revision id was 274576932.
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Original Wikitext content:

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.

Original HTML content:

<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>