127edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-07-03 15:04:44 UTC.
- The original revision id was 239839467.
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Original Wikitext content:
**127edo**, which divides the [[octave]] into 127 parts of 9.45 [[cents]] each, is another equal division interesting because of its approximations, defined by the [[comma]]s it [[tempering out|tempers out]]. In the [[5-limit]], it tempers out the wuerschmidt comma, 393216/390625 and hence supports [[Wuerschmidt family|wuerschmidt temperament]]. In the [[7-limit]], it also tempers out 225/224, and is an excellent tuning for the 7-limit extension ("wurschmidt") of wuerschmidt which tempers this out also. In the [[11-limit]], it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the [[optimal patent val]] and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.Original HTML content:
<html><head><title>127edo</title></head><body><strong>127edo</strong>, which divides the <a class="wiki_link" href="/octave">octave</a> into 127 parts of 9.45 <a class="wiki_link" href="/cents">cents</a> each, is another equal division interesting because of its approximations, defined by the <a class="wiki_link" href="/comma">comma</a>s it <a class="wiki_link" href="/tempering%20out">tempers out</a>. In the <a class="wiki_link" href="/5-limit">5-limit</a>, it tempers out the wuerschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/Wuerschmidt%20family">wuerschmidt temperament</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it also tempers out 225/224, and is an excellent tuning for the 7-limit extension ("wurschmidt") of wuerschmidt which tempers this out also. In the <a class="wiki_link" href="/11-limit">11-limit</a>, it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.</body></html>