List of MOS scales in 31edo: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 359981933 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 360121031 - 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>2012-08-26 11:52:21 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-08-27 02:19:38 UTC</tt>.<br>
: The original revision id was <tt>359981933</tt>.<br>
: The original revision id was <tt>360121031</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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Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1
Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1


===14-tone===  
===Tetradecatonic===  


Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18
Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18
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Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3
Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3


===15-tone===  
===Pentadecatonic===  


Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17
Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17
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Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1
Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1


===16-tone===  
===Hexadecatonic===  


Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
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Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1
Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1


===17-tone===  
===Heptadecatonic===  


Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15
Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15
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Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1
Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1


===18-tone===  
===Octadecatonic===  


Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14
Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2


===19-tone===  
===Nonadecatonic===  


Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13
Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13
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Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1
Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1


===20-tone===  
===Icosatonic===  


Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12
Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1


===21-tone===  
===Icosihenatonic===  


Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11
Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11
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Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1
Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1


===22-tone===  
===Icosiditonic===  


Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10
Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10
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Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1
Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1


===23-tone===  
===Icositritonic===  


Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9
Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9
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Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1
Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1


===24-tone===  
===Icositetratonic===  


Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8
Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2


===25-tone===  
===Icosipentatonic===  


Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7
Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7
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Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1
Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1


===26-tone===  
===Icosihexatonic===  


Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6
Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1


===27-tone===  
===Icosiheptatonic===  


Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5
Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5
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Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1


===28-tone===  
===Icosioctatonic===  


Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4
Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1


===29-tone===  
===Icosinonatonic===  


Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1


===30-tone===  
===Tricontatonic===  


Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2</pre></div>
Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2</pre></div>
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Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1&lt;br /&gt;
Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-14-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;14-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tetradecatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Tetradecatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18&lt;br /&gt;
Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18&lt;br /&gt;
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Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3&lt;br /&gt;
Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3&lt;br /&gt;
&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="x31edo MOS Scales-MOS Scales of 31edo by cardinality-15-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;15-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Pentadecatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Pentadecatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17&lt;br /&gt;
Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17&lt;br /&gt;
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Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1&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="x31edo MOS Scales-MOS Scales of 31edo by cardinality-16-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;16-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Hexadecatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Hexadecatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16&lt;br /&gt;
Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16&lt;br /&gt;
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Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1&lt;br /&gt;
Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1&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="x31edo MOS Scales-MOS Scales of 31edo by cardinality-17-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;17-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Heptadecatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Heptadecatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15&lt;br /&gt;
Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15&lt;br /&gt;
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Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc17"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-18-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;18-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc17"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Octadecatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Octadecatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14&lt;br /&gt;
Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14&lt;br /&gt;
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2&lt;br /&gt;
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-19-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;19-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Nonadecatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Nonadecatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13&lt;br /&gt;
Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13&lt;br /&gt;
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Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc19"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-20-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;20-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc19"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Icosatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12&lt;br /&gt;
Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12&lt;br /&gt;
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1&lt;br /&gt;
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-21-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;21-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosihenatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Icosihenatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11&lt;br /&gt;
Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11&lt;br /&gt;
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Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc21"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-22-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;22-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc21"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosiditonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Icosiditonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10&lt;br /&gt;
Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10&lt;br /&gt;
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Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1&lt;br /&gt;
Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc22"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-23-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;23-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc22"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icositritonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Icositritonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9&lt;br /&gt;
Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9&lt;br /&gt;
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Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc23"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-24-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;24-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc23"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icositetratonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;Icositetratonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8&lt;br /&gt;
Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8&lt;br /&gt;
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2&lt;br /&gt;
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc24"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-25-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;25-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc24"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosipentatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Icosipentatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7&lt;br /&gt;
Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7&lt;br /&gt;
Line 457: Line 457:
Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc25"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-26-tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;26-tone&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc25"&gt;&lt;a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosihexatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Icosihexatonic&lt;/h3&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6&lt;br /&gt;
Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6&lt;br /&gt;
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1&lt;br /&gt;
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
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Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5&lt;br /&gt;
Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5&lt;br /&gt;
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Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4&lt;br /&gt;
Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4&lt;br /&gt;
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1&lt;br /&gt;
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3&lt;br /&gt;
Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3&lt;br /&gt;
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
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Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2&lt;/body&gt;&lt;/html&gt;</pre></div>
Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 02:19, 27 August 2012

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This revision was by author Osmiorisbendi and made on 2012-08-27 02:19:38 UTC.
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=31edo MOS Scales= 

Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery. The diagram below shows every generator from 1\31 (one degree of 31edo) to 15\31 (15 degrees of 31edo), and two [[MOSScales|moment of symmetry scales]] that one can produce with that generator. The bold lines outline a scale with ten or fewer tones; the lighter lines add some more tones. The exact stopping-point of the generation process in these examples is, admittedly, somewhat arbitrary. Scales with a greater number of tones can be produced by continuing the generating process, until all 31 tones have been included.

[[image:31edo_mos_families.jpg]]
[[file:31edo mos families.pdf]]
Note that many of the names above are outdated or just plain wrong.

----

==MOS Scales of 31edo by cardinality== 

===Tritonic=== 

Slender[3] 1 1 29
Valentine[3] 2 2 27
Miracle[3] 3 3 25
Nusecond[3] 4 4 23
Hemithirds[3] 5 5 21
Mothra[3] 6 6 19
Orwell[3] 7 7 17
Myna[3] 8 8 15
Mohajira[3] 9 9 13
Würschmidt[3] 10 10 11
Squares[3] 11 11 9
Semisept[3] 12 12 7
Meantone[3] 13 13 5
Casablanca[3] 14 14 3
Tritonic[3] 15 15 1

===Tetratonic=== 

Slender[4] 1 1 1 28
Valentine[4] 2 2 2 25
Miracle[4] 3 3 3 22
Nusecond[4] 4 4 4 19
Hemithirds[4] 5 5 5 16
Mothra[4] 6 6 6 13
Orwell[4] 7 7 7 10
Myna[4] 8 8 8 7
Mohajira[4] 9 9 9 4
Würschmidt[4] 10 10 10 1

===Pentatonic=== 

Slender[5] 1 1 1 1 27
Valentine[5] 2 2 2 2 23
Miracle[5] 3 3 3 3 19
Nusecond[5] 4 4 4 4 15
Hemithirds[5] 5 5 5 5 11
Mothra[5] 6 6 6 6 7
Orwell[5] 7 7 7 7 3
Squares[5] 2 9 2 9 9
Semisept[5] 5 7 5 7 7
Meantone[5] 8 5 8 5 5
Casablanca[5] 11 3 11 3 3
Tritonic[5] 14 1 14 1 1

===Hexatonic=== 

Slender[6] 1 1 1 1 1 26
Valentine[6] 2 2 2 2 2 21
Miracle[6] 3 3 3 3 3 16
Nusecond[6] 4 4 4 4 4 11
Hemithirds[6] 5 5 5 5 5 6
Mothra[6] 6 6 6 6 6 1

===Heptatonic=== 

Slender[7] 1 1 1 1 1 1 25
Valentine[7] 2 2 2 2 2 2 19
Miracle[7] 3 3 3 3 3 3 13
Nusecond[7] 4 4 4 4 4 4 7
Hemithirds[7] 5 5 5 5 5 5 1
Myna[7] 1 7 1 7 1 7 7
Mohajira[7] 5 4 5 4 5 4 4
Würschmidt[7] 9 1 9 1 9 1 1
Meantone[7] 3 5 5 3 5 5 5
Casablanca[7] 8 3 3 8 3 3 3
Tritonic[7] 13 1 1 13 1 1 1

===Octatonic=== 

Slender[8] 1 1 1 1 1 1 1 24
Valentine[8] 2 2 2 2 2 2 2 17
Miracle[8] 3 3 3 3 3 3 3 10
Nusecond[8] 4 4 4 4 4 4 4 3
Squares[8] 2 2 7 2 2 7 2 7
Semisept[8] 5 5 2 5 5 2 5 2

===Nonatonic=== 

Slender[9] 1 1 1 1 1 1 1 1 23
Valentine[9] 2 2 2 2 2 2 2 2 15
Miracle[9] 3 3 3 3 3 3 3 3 7
Orwell[9] 4 3 4 3 4 3 4 3 3
Casablanca[9] 5 3 3 3 5 3 3 3 3
Tritonic[9] 12 1 1 1 12 1 1 1 1

===Decatonic=== 

Slender[10] 1 1 1 1 1 1 1 1 1 22
Valentine[10] 2 2 2 2 2 2 2 2 2 13
Miracle[10] 3 3 3 3 3 3 3 3 3 4
Mohajira[10] 1 4 4 1 4 4 1 4 4 4
Würschmidt[10] 8 1 1 8 1 1 8 1 1 1

===Hendecatonic=== 

Slender[11] 1 1 1 1 1 1 1 1 1 1 21
Valentine[11] 2 2 2 2 2 2 2 2 2 2 11
Miracle[11] 3 3 3 3 3 3 3 3 3 3 1
Mothra[11] 5 1 5 1 5 1 5 1 5 1 1
Myna[11] 1 1 6 1 1 6 1 1 6 1 6
Squares[11] 2 2 2 5 2 2 2 5 2 2 5
Casablanca[11] 2 3 3 3 3 2 3 3 3 3 3
Tritonic[11] 11 1 1 1 1 11 1 1 1 1 1

===Dodecatonic=== 

Slender[12] 1 1 1 1 1 1 1 1 1 1 1 20
Valentine[12] 2 2 2 2 2 2 2 2 2 2 2 9
Meantone[12] 3 3 2 3 2 3 3 2 3 2 3 2

===Tridecatonic=== 

Slender[13] 1 1 1 1 1 1 1 1 1 1 1 1 19
Valentine[13] 2 2 2 2 2 2 2 2 2 2 2 7
Hemithirds[13] 4 1 4 1 4 1 4 1 4 1 4 1 1
Orwell[13] 1 3 3 1 3 3 1 3 3 1 3 3 3
Würschmidt[13] 7 1 1 1 7 1 1 1 7 1 1 1 1
Semisept[13] 3 2 3 2 2 3 2 3 2 2 3 2 2
Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1

===Tetradecatonic=== 

Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18
Valentine[14] 2 2 2 2 2 2 2 2 2 2 2 2 2 5
Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3

===Pentadecatonic=== 

Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17
Valentine[15] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3
Nusecond[15] 1 3 1 3 1 3 1 3 1 3 1 3 1 3 3
Myna[15] 1 1 1 5 1 1 1 5 1 1 1 5 1 1 5
Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1

===Hexadecatonic=== 

Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
Valentine[16] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
Mothra[16] 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1 1
Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1

===Heptadecatonic=== 

Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15
Mohajira[17] 1 1 3 1 3 1 1 3 1 3 1 1 3 1 3 1 3
Squares[17] 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1
Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1

===Octadecatonic=== 

Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2

===Nonadecatonic=== 

Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13
Hemithirds[19] 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1
Myna[19] 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 1 4
Würschmidt[19] 5 1 1 1 1 1 5 1 1 1 1 1 5 1 1 1 1 1 1
Meantone[19] 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2
Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1

===Icosatonic=== 

Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1

===Icosihenatonic=== 

Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11
Miracle[21] 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1
Mothra[21] 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1
Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1

===Icosiditonic=== 

Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10
Orwell[22] 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2
Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1

===Icositritonic=== 

Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9
Nusecond[23] 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 2
Myna[23] 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3
Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1

===Icositetratonic=== 

Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2

===Icosipentatonic=== 

Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7
Hemithirds[25] 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1
Würschmidt[25] 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1
Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1

===Icosihexatonic=== 

Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1

===Icosiheptatonic=== 

Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5
Myna[27] 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 2
Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1

===Icosioctatonic=== 

Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1

===Icosinonatonic=== 

Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1

===Tricontatonic=== 

Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2

Original HTML content:

<html><head><title>31edo MOS scales</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x31edo MOS Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->31edo MOS Scales</h1>
 <br />
Since 31 is a prime number, any interval of a 31-tone equal scale (<a class="wiki_link" href="/31edo">31 equal divisions of the octave</a> or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery. The diagram below shows every generator from 1\31 (one degree of 31edo) to 15\31 (15 degrees of 31edo), and two <a class="wiki_link" href="/MOSScales">moment of symmetry scales</a> that one can produce with that generator. The bold lines outline a scale with ten or fewer tones; the lighter lines add some more tones. The exact stopping-point of the generation process in these examples is, admittedly, somewhat arbitrary. Scales with a greater number of tones can be produced by continuing the generating process, until all 31 tones have been included.<br />
<br />
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Note that many of the names above are outdated or just plain wrong.<br />
<br />
<hr />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality"></a><!-- ws:end:WikiTextHeadingRule:2 -->MOS Scales of 31edo by cardinality</h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tritonic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Tritonic</h3>
 <br />
Slender[3] 1 1 29<br />
Valentine[3] 2 2 27<br />
Miracle[3] 3 3 25<br />
Nusecond[3] 4 4 23<br />
Hemithirds[3] 5 5 21<br />
Mothra[3] 6 6 19<br />
Orwell[3] 7 7 17<br />
Myna[3] 8 8 15<br />
Mohajira[3] 9 9 13<br />
Würschmidt[3] 10 10 11<br />
Squares[3] 11 11 9<br />
Semisept[3] 12 12 7<br />
Meantone[3] 13 13 5<br />
Casablanca[3] 14 14 3<br />
Tritonic[3] 15 15 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tetratonic"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tetratonic</h3>
 <br />
Slender[4] 1 1 1 28<br />
Valentine[4] 2 2 2 25<br />
Miracle[4] 3 3 3 22<br />
Nusecond[4] 4 4 4 19<br />
Hemithirds[4] 5 5 5 16<br />
Mothra[4] 6 6 6 13<br />
Orwell[4] 7 7 7 10<br />
Myna[4] 8 8 8 7<br />
Mohajira[4] 9 9 9 4<br />
Würschmidt[4] 10 10 10 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Pentatonic"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pentatonic</h3>
 <br />
Slender[5] 1 1 1 1 27<br />
Valentine[5] 2 2 2 2 23<br />
Miracle[5] 3 3 3 3 19<br />
Nusecond[5] 4 4 4 4 15<br />
Hemithirds[5] 5 5 5 5 11<br />
Mothra[5] 6 6 6 6 7<br />
Orwell[5] 7 7 7 7 3<br />
Squares[5] 2 9 2 9 9<br />
Semisept[5] 5 7 5 7 7<br />
Meantone[5] 8 5 8 5 5<br />
Casablanca[5] 11 3 11 3 3<br />
Tritonic[5] 14 1 14 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Hexatonic"></a><!-- ws:end:WikiTextHeadingRule:10 -->Hexatonic</h3>
 <br />
Slender[6] 1 1 1 1 1 26<br />
Valentine[6] 2 2 2 2 2 21<br />
Miracle[6] 3 3 3 3 3 16<br />
Nusecond[6] 4 4 4 4 4 11<br />
Hemithirds[6] 5 5 5 5 5 6<br />
Mothra[6] 6 6 6 6 6 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Heptatonic"></a><!-- ws:end:WikiTextHeadingRule:12 -->Heptatonic</h3>
 <br />
Slender[7] 1 1 1 1 1 1 25<br />
Valentine[7] 2 2 2 2 2 2 19<br />
Miracle[7] 3 3 3 3 3 3 13<br />
Nusecond[7] 4 4 4 4 4 4 7<br />
Hemithirds[7] 5 5 5 5 5 5 1<br />
Myna[7] 1 7 1 7 1 7 7<br />
Mohajira[7] 5 4 5 4 5 4 4<br />
Würschmidt[7] 9 1 9 1 9 1 1<br />
Meantone[7] 3 5 5 3 5 5 5<br />
Casablanca[7] 8 3 3 8 3 3 3<br />
Tritonic[7] 13 1 1 13 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Octatonic"></a><!-- ws:end:WikiTextHeadingRule:14 -->Octatonic</h3>
 <br />
Slender[8] 1 1 1 1 1 1 1 24<br />
Valentine[8] 2 2 2 2 2 2 2 17<br />
Miracle[8] 3 3 3 3 3 3 3 10<br />
Nusecond[8] 4 4 4 4 4 4 4 3<br />
Squares[8] 2 2 7 2 2 7 2 7<br />
Semisept[8] 5 5 2 5 5 2 5 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Nonatonic"></a><!-- ws:end:WikiTextHeadingRule:16 -->Nonatonic</h3>
 <br />
Slender[9] 1 1 1 1 1 1 1 1 23<br />
Valentine[9] 2 2 2 2 2 2 2 2 15<br />
Miracle[9] 3 3 3 3 3 3 3 3 7<br />
Orwell[9] 4 3 4 3 4 3 4 3 3<br />
Casablanca[9] 5 3 3 3 5 3 3 3 3<br />
Tritonic[9] 12 1 1 1 12 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Decatonic"></a><!-- ws:end:WikiTextHeadingRule:18 -->Decatonic</h3>
 <br />
Slender[10] 1 1 1 1 1 1 1 1 1 22<br />
Valentine[10] 2 2 2 2 2 2 2 2 2 13<br />
Miracle[10] 3 3 3 3 3 3 3 3 3 4<br />
Mohajira[10] 1 4 4 1 4 4 1 4 4 4<br />
Würschmidt[10] 8 1 1 8 1 1 8 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Hendecatonic"></a><!-- ws:end:WikiTextHeadingRule:20 -->Hendecatonic</h3>
 <br />
Slender[11] 1 1 1 1 1 1 1 1 1 1 21<br />
Valentine[11] 2 2 2 2 2 2 2 2 2 2 11<br />
Miracle[11] 3 3 3 3 3 3 3 3 3 3 1<br />
Mothra[11] 5 1 5 1 5 1 5 1 5 1 1<br />
Myna[11] 1 1 6 1 1 6 1 1 6 1 6<br />
Squares[11] 2 2 2 5 2 2 2 5 2 2 5<br />
Casablanca[11] 2 3 3 3 3 2 3 3 3 3 3<br />
Tritonic[11] 11 1 1 1 1 11 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Dodecatonic"></a><!-- ws:end:WikiTextHeadingRule:22 -->Dodecatonic</h3>
 <br />
Slender[12] 1 1 1 1 1 1 1 1 1 1 1 20<br />
Valentine[12] 2 2 2 2 2 2 2 2 2 2 2 9<br />
Meantone[12] 3 3 2 3 2 3 3 2 3 2 3 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tridecatonic"></a><!-- ws:end:WikiTextHeadingRule:24 -->Tridecatonic</h3>
 <br />
Slender[13] 1 1 1 1 1 1 1 1 1 1 1 1 19<br />
Valentine[13] 2 2 2 2 2 2 2 2 2 2 2 7<br />
Hemithirds[13] 4 1 4 1 4 1 4 1 4 1 4 1 1<br />
Orwell[13] 1 3 3 1 3 3 1 3 3 1 3 3 3<br />
Würschmidt[13] 7 1 1 1 7 1 1 1 7 1 1 1 1<br />
Semisept[13] 3 2 3 2 2 3 2 3 2 2 3 2 2<br />
Tritonic[13] 10 1 1 1 1 1 10 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h3&gt; --><h3 id="toc13"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tetradecatonic"></a><!-- ws:end:WikiTextHeadingRule:26 -->Tetradecatonic</h3>
 <br />
Slender[14] 1 1 1 1 1 1 1 1 1 1 1 1 1 18<br />
Valentine[14] 2 2 2 2 2 2 2 2 2 2 2 2 2 5<br />
Squares[14] 2 2 2 2 3 2 2 2 2 3 2 2 2 3<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Pentadecatonic"></a><!-- ws:end:WikiTextHeadingRule:28 -->Pentadecatonic</h3>
 <br />
Slender[15] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17<br />
Valentine[15] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3<br />
Nusecond[15] 1 3 1 3 1 3 1 3 1 3 1 3 1 3 3<br />
Myna[15] 1 1 1 5 1 1 1 5 1 1 1 5 1 1 5<br />
Tritonic[15] 9 1 1 1 1 1 1 9 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Hexadecatonic"></a><!-- ws:end:WikiTextHeadingRule:30 -->Hexadecatonic</h3>
 <br />
Slender[16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16<br />
Valentine[16] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1<br />
Mothra[16] 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1 1<br />
Würschmidt[16] 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h3&gt; --><h3 id="toc16"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Heptadecatonic"></a><!-- ws:end:WikiTextHeadingRule:32 -->Heptadecatonic</h3>
 <br />
Slender[17] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15<br />
Mohajira[17] 1 1 3 1 3 1 1 3 1 3 1 1 3 1 3 1 3<br />
Squares[17] 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1<br />
Tritonic[17] 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h3&gt; --><h3 id="toc17"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Octadecatonic"></a><!-- ws:end:WikiTextHeadingRule:34 -->Octadecatonic</h3>
 <br />
Slender[18] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14<br />
Semisept[18] 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Nonadecatonic"></a><!-- ws:end:WikiTextHeadingRule:36 -->Nonadecatonic</h3>
 <br />
Slender[19] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 13<br />
Hemithirds[19] 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1<br />
Myna[19] 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 1 4<br />
Würschmidt[19] 5 1 1 1 1 1 5 1 1 1 1 1 5 1 1 1 1 1 1<br />
Meantone[19] 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2<br />
Tritonic[19] 7 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h3&gt; --><h3 id="toc19"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosatonic"></a><!-- ws:end:WikiTextHeadingRule:38 -->Icosatonic</h3>
 <br />
Slender[20] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12<br />
Casablanca[20] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosihenatonic"></a><!-- ws:end:WikiTextHeadingRule:40 -->Icosihenatonic</h3>
 <br />
Slender[21] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11<br />
Miracle[21] 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1<br />
Mothra[21] 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1<br />
Tritonic[21] 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h3&gt; --><h3 id="toc21"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosiditonic"></a><!-- ws:end:WikiTextHeadingRule:42 -->Icosiditonic</h3>
 <br />
Slender[22] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10<br />
Orwell[22] 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2<br />
Würschmidt[22] 4 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h3&gt; --><h3 id="toc22"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icositritonic"></a><!-- ws:end:WikiTextHeadingRule:44 -->Icositritonic</h3>
 <br />
Slender[23] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9<br />
Nusecond[23] 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 2<br />
Myna[23] 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3<br />
Tritonic[23] 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h3&gt; --><h3 id="toc23"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icositetratonic"></a><!-- ws:end:WikiTextHeadingRule:46 -->Icositetratonic</h3>
 <br />
Slender[24] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8<br />
Mohajira[24] 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2<br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h3&gt; --><h3 id="toc24"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosipentatonic"></a><!-- ws:end:WikiTextHeadingRule:48 -->Icosipentatonic</h3>
 <br />
Slender[25] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7<br />
Hemithirds[25] 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1<br />
Würschmidt[25] 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1<br />
Tritonic[25] 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h3&gt; --><h3 id="toc25"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosihexatonic"></a><!-- ws:end:WikiTextHeadingRule:50 -->Icosihexatonic</h3>
 <br />
Slender[26] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6<br />
Mothra[26] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:52:&lt;h3&gt; --><h3 id="toc26"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosiheptatonic"></a><!-- ws:end:WikiTextHeadingRule:52 -->Icosiheptatonic</h3>
 <br />
Slender[27] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5<br />
Myna[27] 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 2<br />
Tritonic[27] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:54:&lt;h3&gt; --><h3 id="toc27"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosioctatonic"></a><!-- ws:end:WikiTextHeadingRule:54 -->Icosioctatonic</h3>
 <br />
Slender[28] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4<br />
Würschmidt[28] 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:56:&lt;h3&gt; --><h3 id="toc28"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Icosinonatonic"></a><!-- ws:end:WikiTextHeadingRule:56 -->Icosinonatonic</h3>
 <br />
Slender[29] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3<br />
Tritonic[29] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:58:&lt;h3&gt; --><h3 id="toc29"><a name="x31edo MOS Scales-MOS Scales of 31edo by cardinality-Tricontatonic"></a><!-- ws:end:WikiTextHeadingRule:58 -->Tricontatonic</h3>
 <br />
Slender[30] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2</body></html>