31edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 160462127 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 160462393 - 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:genewardsmith|genewardsmith]] and made on <tt>2010-09-05 08:42:32 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-05 08:46:46 UTC</tt>.<br>
: The original revision id was <tt>160462127</tt>.<br>
: The original revision id was <tt>160462393</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>
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=Modes=  
=Modes=  


|||| ====31 tone equal modes:==== ||
A large open list of modes (subsets) from 31edo that people have named: [[31edo modes]]. [[http://en.wikipedia.org/wiki/Rothenberg_propriety|Strictly proper]] [[Strictly proper 7-note 31edo scales|7-note 31edo scales]] in the sense of [[David Rothenberg]].  See also [[31edo MOS scales]]. Some of the popular ones:
 
* 31-tone major: 5 5 3 5 5 5 3
* Meantone[12] (Eb-G#): 2 3 3 2 3 2 3 2 3 3 2 3
* Harmonic scale 8: 5 5 4 4 4 4 3 3
* the [[Euler-Fokker genera]] (technically [[JI]] but representable in 31)
 
|||| ====Some 31 tone equal modes:==== ||
|| {{**2 3 3 2 3 2 3 2 3 3 2 3**}} || Meantone Chromatic (53/220-comma) ||
|| {{**2 3 3 2 3 2 3 2 3 3 2 3**}} || Meantone Chromatic (53/220-comma) ||
|| {{**5 5 3 5 5 5 3**}} || Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian ||
|| {{**5 5 3 5 5 5 3**}} || Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian ||
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|| {{**4 3 4 3 4 3 4 3 3**}} || Thirty-one tone Orwell ||
|| {{**4 3 4 3 4 3 4 3 3**}} || Thirty-one tone Orwell ||
|| {{**2 5 2 2 5 2 2 2 5 2 2**}} || Secor Sentinel ||
|| {{**2 5 2 2 5 2 2 2 5 2 2**}} || Secor Sentinel ||
A large open list of modes (subsets) from 31edo that people have named: [[31edo modes]]. [[http://en.wikipedia.org/wiki/Rothenberg_propriety|Strictly proper]] [[Strictly proper 7-note 31edo scales|7-note 31edo scales]] in the sense of [[David Rothenberg]].  See also [[31edo MOS scales]]. Some of the popular ones:
* 31-tone major: 5 5 3 5 5 5 3
* 1/4-comma meantone (Eb-G#): 2 3 3 2 3 2 3 2 3 3 2 3
* Harmonic scale 8: 5 5 4 4 4 4 3 3
* the [[Euler-fokker genera]] (technically [[JI]] but representable in 31)


=Music in 31-edo=  
=Music in 31-edo=  
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&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Modes&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Modes&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
A large open list of modes (subsets) from 31edo that people have named: &lt;a class="wiki_link" href="/31edo%20modes"&gt;31edo modes&lt;/a&gt;. &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Rothenberg_propriety" rel="nofollow"&gt;Strictly proper&lt;/a&gt; &lt;a class="wiki_link" href="/Strictly%20proper%207-note%2031edo%20scales"&gt;7-note 31edo scales&lt;/a&gt; in the sense of &lt;a class="wiki_link" href="/David%20Rothenberg"&gt;David Rothenberg&lt;/a&gt;.  See also &lt;a class="wiki_link" href="/31edo%20MOS%20scales"&gt;31edo MOS scales&lt;/a&gt;. Some of the popular ones:&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;31-tone major: 5 5 3 5 5 5 3&lt;/li&gt;&lt;li&gt;Meantone[12] (Eb-G#): 2 3 3 2 3 2 3 2 3 3 2 3&lt;/li&gt;&lt;li&gt;Harmonic scale 8: 5 5 4 4 4 4 3 3&lt;/li&gt;&lt;li&gt;the &lt;a class="wiki_link" href="/Euler-Fokker%20genera"&gt;Euler-Fokker genera&lt;/a&gt; (technically &lt;a class="wiki_link" href="/JI"&gt;JI&lt;/a&gt; but representable in 31)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;




&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td colspan="2"&gt;&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc18"&gt;&lt;a name="Modes---31 tone equal modes:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;31 tone equal modes:&lt;/h4&gt;
         &lt;td colspan="2"&gt;&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc18"&gt;&lt;a name="Modes---Some 31 tone equal modes:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Some 31 tone equal modes:&lt;/h4&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;br /&gt;
&lt;br /&gt;
A large open list of modes (subsets) from 31edo that people have named: &lt;a class="wiki_link" href="/31edo%20modes"&gt;31edo modes&lt;/a&gt;. &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Rothenberg_propriety" rel="nofollow"&gt;Strictly proper&lt;/a&gt; &lt;a class="wiki_link" href="/Strictly%20proper%207-note%2031edo%20scales"&gt;7-note 31edo scales&lt;/a&gt; in the sense of &lt;a class="wiki_link" href="/David%20Rothenberg"&gt;David Rothenberg&lt;/a&gt;.  See also &lt;a class="wiki_link" href="/31edo%20MOS%20scales"&gt;31edo MOS scales&lt;/a&gt;. Some of the popular ones:&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;31-tone major: 5 5 3 5 5 5 3&lt;/li&gt;&lt;li&gt;1/4-comma meantone (Eb-G#): 2 3 3 2 3 2 3 2 3 3 2 3&lt;/li&gt;&lt;li&gt;Harmonic scale 8: 5 5 4 4 4 4 3 3&lt;/li&gt;&lt;li&gt;the &lt;a class="wiki_link" href="/Euler-fokker%20genera"&gt;Euler-fokker genera&lt;/a&gt; (technically &lt;a class="wiki_link" href="/JI"&gt;JI&lt;/a&gt; but representable in 31)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Music in 31-edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Music in 31-edo&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Music in 31-edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Music in 31-edo&lt;/h1&gt;
  &lt;a class="wiki_link" href="/31-edo%20compositions"&gt;An alphabetical list of Tricesimoprimal Compositions&lt;/a&gt;.&lt;br /&gt;
  &lt;a class="wiki_link" href="/31-edo%20compositions"&gt;An alphabetical list of Tricesimoprimal Compositions&lt;/a&gt;.&lt;br /&gt;