137edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Osmiorisbendi and made on 2012-01-03 23:27:59 UTC.
- The original revision id was 289422273.
- 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 //137 equal division// divides the octave into 137 equal parts of 8.759 cents each. It is the [[optimal patent val]] for 7-limit [[Semicomma family|orwell temperament]] and for the planar temperament tempering out 2430/2401. It tempers out 2109375/2097152 (the semicomma) in the 5-limit; 225/224 and 1728/1715 in the 7-limit; 243/242 in the 11-limit; 351/350 in the 13-limit; 375/374 and 442/441 in the 17-limit; and 324/323 and 495/494 in the 19-limit. Since it is the 33rd [[prime numbers|prime number]], 137edo has no proper divisors aside from 1. A diagram of 7-limit Orwell based on the 31\137edo generator: [[image:137edo_MOS_031_demo_correction.png]] [[file:137edo_MOS_031.svg]]
Original HTML content:
<html><head><title>137edo</title></head><body>The <em>137 equal division</em> divides the octave into 137 equal parts of 8.759 cents each. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 7-limit <a class="wiki_link" href="/Semicomma%20family">orwell temperament</a> and for the planar temperament tempering out 2430/2401. It tempers out 2109375/2097152 (the semicomma) in the 5-limit; 225/224 and 1728/1715 in the 7-limit; 243/242 in the 11-limit; 351/350 in the 13-limit; 375/374 and 442/441 in the 17-limit; and 324/323 and 495/494 in the 19-limit. Since it is the 33rd <a class="wiki_link" href="/prime%20numbers">prime number</a>, 137edo has no proper divisors aside from 1.<br />
<br />
A diagram of 7-limit Orwell based on the 31\137edo generator:<br />
<!-- ws:start:WikiTextLocalImageRule:0:<img src="/file/view/137edo_MOS_031_demo_correction.png/285785730/137edo_MOS_031_demo_correction.png" alt="" title="" /> --><img src="/file/view/137edo_MOS_031_demo_correction.png/285785730/137edo_MOS_031_demo_correction.png" alt="137edo_MOS_031_demo_correction.png" title="137edo_MOS_031_demo_correction.png" /><!-- ws:end:WikiTextLocalImageRule:0 --><br />
<!-- ws:start:WikiTextFileRule:1:<img src="http://www.wikispaces.com/site/embedthumbnail/file/137edo_MOS_031.svg?h=52&w=320" class="WikiFile" id="wikitext@@file@@137edo_MOS_031.svg" title="File: 137edo_MOS_031.svg" width="320" height="52" /> --><div class="objectEmbed"><a href="/file/view/137edo_MOS_031.svg/285785200/137edo_MOS_031.svg" onclick="ws.common.trackFileLink('/file/view/137edo_MOS_031.svg/285785200/137edo_MOS_031.svg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="137edo_MOS_031.svg" /></a><div><a href="/file/view/137edo_MOS_031.svg/285785200/137edo_MOS_031.svg" onclick="ws.common.trackFileLink('/file/view/137edo_MOS_031.svg/285785200/137edo_MOS_031.svg');" class="filename" title="137edo_MOS_031.svg">137edo_MOS_031.svg</a><br /><ul><li><a href="/file/detail/137edo_MOS_031.svg">Details</a></li><li><a href="/file/view/137edo_MOS_031.svg/285785200/137edo_MOS_031.svg">Download</a></li><li style="color: #666">46 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:1 --></body></html>