91edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author vaisvil and made on 2014-01-03 21:43:18 UTC.
- The original revision id was 480488710.
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Original Wikitext content:
The //91 equal division// divides the octave into 91 parts of 13.187 cents each. The 3, 5 and 7 for 91 are on the flat side, making this a mostly flat system. It provides the [[optimal patent val]] for 7- and 11-limit [[Marvel temperaments|septimin]] temperament, and the 13-limit rank three [[Marvel family#Tripod|tripod]] temperament, as well as the 11-limit rank four temperament tempering out 245/242 and the 13-limit rank five temperament tempering out 105/104, or rank four tempering out 144/143, or else 196/195 and hence 225/224 also. It also gives the optimal patent val for the marvel extension tripod, which adds 105/104 to 225/224 and 385/384, and so also tempers out 144/143 and 196/195. It tempers out 15625/15552 in the 5-limit, 225/224 and 4375/4374 in the 7-limit, 245/242, 385/384 in the 11-limit, and 105/104, 144/143, 196/195 in the 13-limit. 91 is the smallest composite number whose composite character is not immediately evident; it is, in fact, the product of 7 and 13. [[http://chrisvaisvil.com/dprk-ison-chase-12-of-91-edo-ambient/|DPRK ISON CHASE ]]
Original HTML content:
<html><head><title>91edo</title></head><body>The <em>91 equal division</em> divides the octave into 91 parts of 13.187 cents each. The 3, 5 and 7 for 91 are on the flat side, making this a mostly flat system. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 7- and 11-limit <a class="wiki_link" href="/Marvel%20temperaments">septimin</a> temperament, and the 13-limit rank three <a class="wiki_link" href="/Marvel%20family#Tripod">tripod</a> temperament, as well as the 11-limit rank four temperament tempering out 245/242 and the 13-limit rank five temperament tempering out 105/104, or rank four tempering out 144/143, or else 196/195 and hence 225/224 also. It also gives the optimal patent val for the marvel extension tripod, which adds 105/104 to 225/224 and 385/384, and so also tempers out 144/143 and 196/195. It tempers out 15625/15552 in the 5-limit, 225/224 and 4375/4374 in the 7-limit, 245/242, 385/384 in the 11-limit, and 105/104, 144/143, 196/195 in the 13-limit.<br /> <br /> 91 is the smallest composite number whose composite character is not immediately evident; it is, in fact, the product of 7 and 13.<br /> <br /> <br /> <a class="wiki_link_ext" href="http://chrisvaisvil.com/dprk-ison-chase-12-of-91-edo-ambient/" rel="nofollow">DPRK ISON CHASE </a></body></html>