183edo

Revision as of 19:52, 13 June 2011 by Wikispaces>genewardsmith (**Imported revision 236408090 - Original comment: **)

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This revision was by author genewardsmith and made on 2011-06-13 19:52:52 UTC.
The original revision id was 236408090.
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Original Wikitext content:

//183edo// divides the octave into 183 equal parts of 6.557 cents each. It is notable as a higher limit system, especially when 7 is left out of the picture. It tempers out the schisma, 32805/32768, in the 5-limit. In the 7-limit, it tempers out 6144/6125, 19683/19600 and the no-twos comma defining the [[Mirkwai clan]], 16875/16807. In the 11-limit it tempers out 540/539; in the 13-limit, 351/350 and 676/675; in the 17-limit 442/441, 561/560 and 715/714; and in the 19-limit 456/455. It is the [[optimal patent val]] for 13-, 17- and 19-limit [[Mirkwai clan|mirkat temperament]], the 72&183 temperament, and an excellent tuning for the rank-three temperaments [[The Archipelago|madagascar and borneo]].

As a no-sevens temperament, it tempers out 32805/32768, 5632/5625, 8019/8000, 676/675, 4425/4424, 6656/6655, 936/935, 1089/1088, and 1377/1375.

Original HTML content:

<html><head><title>183edo</title></head><body><em>183edo</em> divides the octave into 183 equal parts of 6.557 cents each. It is notable as a higher limit system, especially when 7 is left out of the picture. It tempers out the schisma, 32805/32768, in the 5-limit. In the 7-limit, it tempers out 6144/6125, 19683/19600 and the no-twos comma defining the <a class="wiki_link" href="/Mirkwai%20clan">Mirkwai clan</a>, 16875/16807. In the 11-limit it tempers out 540/539; in the 13-limit, 351/350 and 676/675; in the 17-limit 442/441, 561/560 and 715/714; and in the 19-limit 456/455. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-, 17- and 19-limit <a class="wiki_link" href="/Mirkwai%20clan">mirkat temperament</a>, the 72&amp;183 temperament, and an excellent tuning for the rank-three temperaments <a class="wiki_link" href="/The%20Archipelago">madagascar and borneo</a>.<br />
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As a no-sevens temperament, it tempers out 32805/32768, 5632/5625, 8019/8000, 676/675, 4425/4424, 6656/6655, 936/935, 1089/1088, and 1377/1375.</body></html>