137edo: Difference between revisions

Line 1:

~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

The ''137 equal division'' divides the octave into 137 equal parts of 8.759 cents each. It is the [[Optimal_patent_val|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.

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

~~: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-01-03 23:27:59 UTC</tt>.<br>~~

: The ~~original revision id was <tt>289422273</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>~~

~~<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 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]]</pre></div>~~

[[File:137edo_MOS_031_demo_correction.png|alt=137edo_MOS_031_demo_correction.png|137edo_MOS_031_demo_correction.png]]

~~<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 the 33rd <a class="wiki_link" href="/prime%20numbers">prime number</a>, 137edo has no proper divisors aside from 1.<br />

[[:File:137edo_MOS_031.svg|137edo_MOS_031.svg]] [[Category:edo]]

~~<br />~~

[[Category:nuwell]]

~~A diagram of 7-limit Orwell based on the 31\137edo generator:<br />~~

[[Category:orwell]]

~~<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" /><br />~~

[[Category:prime_edo]]

~~<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></body></html></pre></div>~~

[[Category:semicomma]]

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+The ''137 equal division'' divides the octave into 137 equal parts of 8.759 cents each. It is the [[Optimal_patent_val|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.
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-01-03 23:27:59 UTC</tt>.<br>
-: The original revision id was <tt>289422273</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>
-<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 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]]</pre></div>
+[[File:137edo_MOS_031_demo_correction.png|alt=137edo_MOS_031_demo_correction.png|137edo_MOS_031_demo_correction.png]]
-<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;137edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;137 equal division&lt;/em&gt; divides the octave into 137 equal parts of 8.759 cents each. It is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 7-limit &lt;a class="wiki_link" href="/Semicomma%20family"&gt;orwell temperament&lt;/a&gt; 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 &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime number&lt;/a&gt;, 137edo has no proper divisors aside from 1.&lt;br /&gt;
+[[:File:137edo_MOS_031.svg|137edo_MOS_031.svg]]      [[Category:edo]]
-&lt;br /&gt;
+[[Category:nuwell]]
-A diagram of 7-limit Orwell based on the 31\137edo generator:&lt;br /&gt;
+[[Category:orwell]]
-&lt;!-- ws:start:WikiTextLocalImageRule:0:&amp;lt;img src=&amp;quot;/file/view/137edo_MOS_031_demo_correction.png/285785730/137edo_MOS_031_demo_correction.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;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" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:0 --&gt;&lt;br /&gt;
+[[Category:prime_edo]]
-&lt;!-- ws:start:WikiTextFileRule:1:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/137edo_MOS_031.svg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@137edo_MOS_031.svg&amp;quot; title=&amp;quot;File: 137edo_MOS_031.svg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;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');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="137edo_MOS_031.svg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;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"&gt;137edo_MOS_031.svg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/137edo_MOS_031.svg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/137edo_MOS_031.svg/285785200/137edo_MOS_031.svg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;46 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:1 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+[[Category:semicomma]]