137edo: Difference between revisions
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Wikispaces>Andrew_Heathwaite **Imported revision 288887349 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 289422169 - 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: | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-01-03 23:27:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>289422169</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 //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 | <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 //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\127edo generator: | A diagram of 7-limit Orwell based on the 31\127edo generator: | ||
| Line 12: | Line 12: | ||
[[file:137edo_MOS_031.svg]]</pre></div> | [[file:137edo_MOS_031.svg]]</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>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 | <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>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 /> | <br /> | ||
A diagram of 7-limit Orwell based on the 31\127edo generator:<br /> | A diagram of 7-limit Orwell based on the 31\127edo generator:<br /> | ||
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Revision as of 23:27, 3 January 2012
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 23:27:21 UTC.
- The original revision id was 289422169.
- 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\127edo 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\127edo generator:<br />
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