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31edo: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 160282345 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 160284657 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-03 14:24:23 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-03 14:35:34 UTC</tt>.<br>
: The original revision id was <tt>160282345</tt>.<br>
: The original revision id was <tt>160284657</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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===7\31 octave - approx. 270.97¢ - Subminor Third===  
===7\31 octave - approx. 270.97¢ - Subminor Third===  
Exactly one half of a superfourth (11:8 approximation). In 7-limit tonal music, 7\31 stands in for 7:6 (266.87¢).
Exactly one half of a superfourth (11:8 approximation). In 7-limit tonal music, 7\31 stands in for 7:6 (266.87¢). A generator for Orwell temperament (but not as good as 12\53 or 19/84).


===8\31 octave - approx. 309.68¢ - Minor Third===  
===8\31 octave - approx. 309.68¢ - Minor Third===  
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===14/31 octave - approx. 541.94¢ - Superfourth===  
===14/31 octave - approx. 541.94¢ - Superfourth===  
10¢ off from a just 11:8 (551.32¢); barely functional as such.
10¢ off from a just 11:8 (551.32¢); barely functional as such. Exactly twice a subminor third.


===15/31 octave===  
===15/31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth===  
The small tritone.
In 7-limit tonal music, functions as 7:5 (582.51¢). Exactly thrice a whole tone.


===16/31 octave===  
===16/31 octave===  
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="Intervals--7\31 octave - approx. 270.97¢ - Subminor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;7\31 octave - approx. 270.97¢ - Subminor Third&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="Intervals--7\31 octave - approx. 270.97¢ - Subminor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;7\31 octave - approx. 270.97¢ - Subminor Third&lt;/h3&gt;
  Exactly one half of a superfourth (11:8 approximation). In 7-limit tonal music, 7\31 stands in for 7:6 (266.87¢).&lt;br /&gt;
  Exactly one half of a superfourth (11:8 approximation). In 7-limit tonal music, 7\31 stands in for 7:6 (266.87¢). A generator for Orwell temperament (but not as good as 12\53 or 19/84).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="Intervals--8\31 octave - approx. 309.68¢ - Minor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;8\31 octave - approx. 309.68¢ - Minor Third&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="Intervals--8\31 octave - approx. 309.68¢ - Minor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;8\31 octave - approx. 309.68¢ - Minor Third&lt;/h3&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Intervals--14/31 octave - approx. 541.94¢ - Superfourth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;14/31 octave - approx. 541.94¢ - Superfourth&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Intervals--14/31 octave - approx. 541.94¢ - Superfourth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;14/31 octave - approx. 541.94¢ - Superfourth&lt;/h3&gt;
  10¢ off from a just 11:8 (551.32¢); barely functional as such.&lt;br /&gt;
  10¢ off from a just 11:8 (551.32¢); barely functional as such. Exactly twice a subminor third.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="Intervals--15/31 octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;15/31 octave&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="Intervals--15/31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;15/31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&lt;/h3&gt;
  The small tritone.&lt;br /&gt;
  In 7-limit tonal music, functions as 7:5 (582.51¢). Exactly thrice a whole tone.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="Intervals--16/31 octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;16/31 octave&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="Intervals--16/31 octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;16/31 octave&lt;/h3&gt;
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