183edo

Revision as of 16:58, 23 June 2011 by Wikispaces>xenwolf (**Imported revision 238459661 - Original comment: **)

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This revision was by author xenwolf and made on 2011-06-23 16:58:34 UTC.
The original revision id was 238459661.
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Original Wikitext content:

//183edo// divides the octave into 183 equal parts of 6.557 [[cent]]s 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-limi]]t, 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 and 3025/3024; 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 temperament]]s [[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 <a class="wiki_link" href="/cent">cent</a>s each. It is notable as a higher limit system, especially when 7 is left out of the picture. It tempers out the <a class="wiki_link" href="/schisma">schisma</a>, 32805/32768, in the <a class="wiki_link" href="/5-limit">5-limit</a>. In the <a class="wiki_link" href="/7-limi">7-limi</a>t, 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 <a class="wiki_link" href="/11-limit">11-limit</a> it tempers out 540/539 and 3025/3024; in the <a class="wiki_link" href="/13-limit">13-limit</a>, 351/350 and 676/675; in the <a class="wiki_link" href="/17-limit">17-limit</a> 442/441, 561/560 and 715/714; and in the <a class="wiki_link" href="/19-limit">19-limit</a> 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 <a class="wiki_link" href="/rank-three%20temperament">rank-three temperament</a>s <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>