11edt: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
11edt means the division of 3, the tritave, into 11 equal parts of 175.905 cents each, corresponding to 6.940 edo. It can therefore be seen as a very stretched version of [[7edo|7edo]], with octaves sharpened by ten and a third cents. The octave stretching makes the fifth in better tune, and of course the twelfth is the pure 3/1 tritave.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:vaisvil|vaisvil]] and made on <tt>2011-11-28 23:15:17 UTC</tt>.<br>
: The original revision id was <tt>279979454</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">[[media type="custom" key="10763046"]]
 
11edt means the division of 3, the tritave, into 11 equal parts of 175.905 cents each, corresponding to 6.940 edo. It can therefore be seen as a very stretched version of [[7edo]], with octaves sharpened by ten and a third cents. The octave stretching makes the fifth in better tune, and of course the twelfth is the pure 3/1 tritave.


From a no-two point of view, it tempers out 49/45 and 15625/15309 in the 7-limit and 35/33 and 77/75 in the 11-limit.
From a no-two point of view, it tempers out 49/45 and 15625/15309 in the 7-limit and 35/33 and 77/75 in the 11-limit.
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! E:\cakewalk\scales\11_of_tritave.scl
! E:\cakewalk\scales\11_of_tritave.scl
!
!
11 in tritave
11 in tritave
!
!
172.90500
172.90500
345.81000
345.81000
518.71500
518.71500
691.62000
691.62000
864.52500
864.52500
1037.43000
1037.43000
1210.33500
1210.33500
1383.24000
1383.24000
1556.14500
1556.14500
1729.05000
1729.05000
3/1
3/1


Mozart's [http://micro.soonlabel.com/6th-comma-meantone/K331-period/k331-walter-piano-11edt.mp3 sonata #11 in A Major K331 in 11 EDT] (using a 11 =&gt; 12 key mapping so octaves become tritaves)


[http://micro.soonlabel.com/tritave_in_11/11of_tritave_improv.mp3 Frozen Time Occupies Wall Street] by [http://www.chrisvaisvil.com Chris Vaisvil] =&gt;[http://chrisvaisvil.com/?p=1392  information about the piece]


 
[http://micro.soonlabel.com/11edt/daily20111118-3-11of-edt-mollys-playground.mp3 Molly's Playground] by [http://www.chrisvaisvil.com Chris Vaisvil] =&gt; [http://chrisvaisvil.com/?p=1716 information about the piece]
Mozart's [[http://micro.soonlabel.com/6th-comma-meantone/K331-period/k331-walter-piano-11edt.mp3|sonata #11 in A Major K331 in 11 EDT]] (using a 11 =&gt; 12 key mapping so octaves become tritaves)
[[http://micro.soonlabel.com/tritave_in_11/11of_tritave_improv.mp3|Frozen Time Occupies Wall Street]] by [[@http://www.chrisvaisvil.com|Chris Vaisvil]] =&gt;[[@http://chrisvaisvil.com/?p=1392| information about the piece]]
[[http://micro.soonlabel.com/11edt/daily20111118-3-11of-edt-mollys-playground.mp3|Molly's Playground]] by [[@http://www.chrisvaisvil.com|Chris Vaisvil]] =&gt; [[http://chrisvaisvil.com/?p=1716| information about the piece]]</pre></div>
<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;11edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/10763046?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;10763046&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://mediaplayer.yahoo.com/js"&gt;
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
&lt;br /&gt;
11edt means the division of 3, the tritave, into 11 equal parts of 175.905 cents each, corresponding to 6.940 edo. It can therefore be seen as a very stretched version of &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;, with octaves sharpened by ten and a third cents. The octave stretching makes the fifth in better tune, and of course the twelfth is the pure 3/1 tritave.&lt;br /&gt;
&lt;br /&gt;
From a no-two point of view, it tempers out 49/45 and 15625/15309 in the 7-limit and 35/33 and 77/75 in the 11-limit.&lt;br /&gt;
&lt;br /&gt;
Tuning in scala format is as follows:&lt;br /&gt;
&lt;br /&gt;
! E:\cakewalk\scales\11_of_tritave.scl&lt;br /&gt;
!&lt;br /&gt;
11 in tritave&lt;br /&gt;
!&lt;br /&gt;
172.90500&lt;br /&gt;
345.81000&lt;br /&gt;
518.71500&lt;br /&gt;
691.62000&lt;br /&gt;
864.52500&lt;br /&gt;
1037.43000&lt;br /&gt;
1210.33500&lt;br /&gt;
1383.24000&lt;br /&gt;
1556.14500&lt;br /&gt;
1729.05000&lt;br /&gt;
3/1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Mozart's &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/6th-comma-meantone/K331-period/k331-walter-piano-11edt.mp3" rel="nofollow"&gt;sonata #11 in A Major K331 in 11 EDT&lt;/a&gt; (using a 11 =&amp;gt; 12 key mapping so octaves become tritaves)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tritave_in_11/11of_tritave_improv.mp3" rel="nofollow"&gt;Frozen Time Occupies Wall Street&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; =&amp;gt;&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1392" rel="nofollow" target="_blank"&gt; information about the piece&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/11edt/daily20111118-3-11of-edt-mollys-playground.mp3" rel="nofollow"&gt;Molly's Playground&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; =&amp;gt; &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1716" rel="nofollow"&gt; information about the piece&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>