91edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 461711236 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 461715482 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-10-21 10: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-10-21 10:59:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>461715482</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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 196/195 | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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 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.</pre></div> | 91 is the smallest composite number whose composite character is not immediately evident; it is, in fact, the product of 7 and 13.</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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 196/195 | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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 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 /> | ||
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91 is the smallest composite number whose composite character is not immediately evident; it is, in fact, the product of 7 and 13.</body></html></pre></div> | 91 is the smallest composite number whose composite character is not immediately evident; it is, in fact, the product of 7 and 13.</body></html></pre></div> | ||