91edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author vaisvil and made on 2014-01-03 21:47:30 UTC.
- The original revision id was 480489276.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
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 ]]by [[@xenharmonic/Chris Vaisvil|Chris Vaisvil]] [[media type="custom" key="24798222"]]
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>by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil" target="_blank">Chris Vaisvil</a><br /> <br /> <!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/custom/24798222?h=0&w=0" class="WikiMedia WikiMediaCustom" id="wikitext@@media@@type=&quot;custom&quot; key=&quot;24798222&quot;" title="Custom Media"/> --><iframe width="500" height="375" src="//www.youtube.com/embed/StCR6hcm5tM?rel=0" frameborder="0" allowfullscreen=""></iframe><!-- ws:end:WikiTextMediaRule:0 --></body></html>