106edo: Difference between revisions

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**Imported revision 571231689 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 106 equal division divides the octave into 106 equal parts of 11.321 cents each. Since 106 = 2*53 it is closely related to [[53edo|53edo]], and is [[Saturation|contorted]] through the 7-limit, tempering out the same commas (32805/32768, 15625/15552, 1600000/1594323, 2109375/2097152 in the 5-limit, 3125/3097, 225/224, 4000/3969, 1728/1715, 2430/2401, 4375/4374 in the 7-limit) as the patent val for 53edo. In the 11-limit it also tempers out 243/242, 3025/3024 and 9801/9800, so that it supports [[Marvel_family#Spectacle|spectacle temperament]] and [[Semicomma_family#Borwell|borwell temperament]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-01-06 05:07:10 UTC</tt>.<br>
: The original revision id was <tt>571231689</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 106 equal division divides the octave into 106 equal parts of 11.321 cents each. Since 106 = 2*53 it is closely related to [[53edo]], and is [[Saturation|contorted]] through the 7-limit, tempering out the same commas (32805/32768, 15625/15552, 1600000/1594323, 2109375/2097152 in the 5-limit, 3125/3097, 225/224, 4000/3969, 1728/1715, 2430/2401, 4375/4374 in the 7-limit) as the patent val for 53edo. In the 11-limit it also tempers out 243/242, 3025/3024 and 9801/9800, so that it supports [[Marvel family#Spectacle|spectacle temperament]] and [[Semicomma family#Borwell|borwell temperament]].


The division is notable for the fact that it is related to the [[turkish cent]], ot türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the [[relative cent]] division for 106edo.
The division is notable for the fact that it is related to the [[turkish_cent|turkish cent]], ot türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the [[Relative_cent|relative cent]] division for 106edo.


Artists using 106 et:
Artists using 106 et:
* [[Dolores Catherino]] -- [[http://dolorescatherino.com|her website]], [[https://www.youtube.com/user/dolomuse|YouTube profile: dolomuse]]
 
* [[http://chrisvaisvil.com/still-life-in-106-notes-per-octave/|Still Life in 106 Notes Per Octave « Music &amp; Techniques by Chris Vaisvil]]</pre></div>
<ul><li>[[Dolores_Catherino|Dolores Catherino]] -- [http://dolorescatherino.com her website], [https://www.youtube.com/user/dolomuse YouTube profile: dolomuse]</li><li>[http://chrisvaisvil.com/still-life-in-106-notes-per-octave/ Still Life in 106 Notes Per Octave « Music &amp; Techniques by Chris Vaisvil]</li></ul>     [[Category:53edo]]
<h4>Original HTML content:</h4>
[[Category:polychromatic]]
<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;106edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 106 equal division divides the octave into 106 equal parts of 11.321 cents each. Since 106 = 2*53 it is closely related to &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, and is &lt;a class="wiki_link" href="/Saturation"&gt;contorted&lt;/a&gt; through the 7-limit, tempering out the same commas (32805/32768, 15625/15552, 1600000/1594323, 2109375/2097152 in the 5-limit, 3125/3097, 225/224, 4000/3969, 1728/1715, 2430/2401, 4375/4374 in the 7-limit) as the patent val for 53edo. In the 11-limit it also tempers out 243/242, 3025/3024 and 9801/9800, so that it supports &lt;a class="wiki_link" href="/Marvel%20family#Spectacle"&gt;spectacle temperament&lt;/a&gt; and &lt;a class="wiki_link" href="/Semicomma%20family#Borwell"&gt;borwell temperament&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
The division is notable for the fact that it is related to the &lt;a class="wiki_link" href="/turkish%20cent"&gt;turkish cent&lt;/a&gt;, ot türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the &lt;a class="wiki_link" href="/relative%20cent"&gt;relative cent&lt;/a&gt; division for 106edo.&lt;br /&gt;
&lt;br /&gt;
Artists using 106 et:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Dolores%20Catherino"&gt;Dolores Catherino&lt;/a&gt; -- &lt;a class="wiki_link_ext" href="http://dolorescatherino.com" rel="nofollow"&gt;her website&lt;/a&gt;, &lt;a class="wiki_link_ext" href="https://www.youtube.com/user/dolomuse" rel="nofollow"&gt;YouTube profile: dolomuse&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/still-life-in-106-notes-per-octave/" rel="nofollow"&gt;Still Life in 106 Notes Per Octave « Music &amp;amp; Techniques by Chris Vaisvil&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>