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Wikispaces>JosephRuhf
**Imported revision 596565222 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 602231472 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-22 22:18:00 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-15 09:42:17 UTC</tt>.<br>
: The original revision id was <tt>596565222</tt>.<br>
: The original revision id was <tt>602231472</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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===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second]]2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second&lt;/span&gt;===  
===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second]]2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second&lt;/span&gt;===  
&lt;span style="background-color: #ffffff;"&gt;The difference between a major and minor third and the thing to a 'half step'; in macromeantone, it is exactly analogus to the &lt;/span&gt;//&lt;span style="background-color: #ffffff;"&gt;chromatic semitone&lt;/span&gt;//&lt;span style="background-color: #ffffff;"&gt;, the interval that distinguishes major and minor intervals of the same generic interval class (eg. thirds).&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;The difference between a major and minor third and the closest thing to a 'half step'; in macromeantone, it is exactly analogus to the &lt;/span&gt;//&lt;span style="background-color: #ffffff;"&gt;chromatic semitone&lt;/span&gt;//&lt;span style="background-color: #ffffff;"&gt;, the interval that distinguishes major and minor intervals of the same generic interval class (eg. thirds).&lt;/span&gt;
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:]]MOS Scales generated by 2\31:&lt;/span&gt;====  
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:]]MOS Scales generated by 2\31:&lt;/span&gt;====  
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
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===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third]]8\31 octave - approx. 490.83¢ - Minor Third&lt;/span&gt;===  
===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third]]8\31 octave - approx. 490.83¢ - Minor Third&lt;/span&gt;===  
&lt;span style="background-color: #ffffff;"&gt;A 4:3 ~1.3 syntonic comma flat. Exactly twice a neutral second, four times a minor semitone, and half of a large tritone. Generates a Fair Sigma scale&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;A 4:3 ~1/3 syntonic comma flat. Exactly twice a neutral second, four times a minor semitone, and half of a large tritone. Generates a Fair Sigma scale&lt;/span&gt;
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:]]MOS Scales generated by 8\31:&lt;/span&gt;====  
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:]]MOS Scales generated by 8\31:&lt;/span&gt;====  
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
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===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third]]10\31 tritave - approx. 613.53¢ - Major Third&lt;/span&gt;===  
===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third]]10\31 tritave - approx. 613.53¢ - Major Third&lt;/span&gt;===  
&lt;span style="background-color: #ffffff;"&gt;A near-enough-just greater septimal (compare with 10:7 = 617.49¢). Generates &lt;/span&gt;[[Wuerschmidt family|wurshmidt/worshmidt temperaments]]&lt;span style="background-color: #ffffff;"&gt;.&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;A near-enough-just greater septimal tritone (compare with 10:7 = 617.49¢). Generates &lt;/span&gt;[[Wuerschmidt family|wurshmidt/worshmidt temperaments]]&lt;span style="background-color: #ffffff;"&gt;.&lt;/span&gt;
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:]]MOS Scales generated by 10\31:&lt;/span&gt;====  
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:]]MOS Scales generated by 10\31:&lt;/span&gt;====  
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
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===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third]]11\31 tritave - approx. 674.89¢ - Supermajor Third&lt;/span&gt;===  
===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third]]11\31 tritave - approx. 674.89¢ - Supermajor Third&lt;/span&gt;===  
&lt;span style="background-color: #ffffff;"&gt;11\31 functions as 126:85 (681.47¢). In metameantone temperament, it is a diminished fourth, eg. C to Fb. It is notable as closely approximating the 9/16edo Armodue sixth. Generates the Unfair Mu scale.&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;11\31 functions as 126:85 (681.47¢). In macromeantone temperament, it is a diminished fourth, eg. C to Fb. It is notable as closely approximating the 9/16edo Armodue sixth. Generates the Unfair Mu scale.&lt;/span&gt;
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:]]MOS Scales generated by 11\31:&lt;/span&gt;====  
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:]]MOS Scales generated by 11\31:&lt;/span&gt;====  
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
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===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth]]12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth&lt;/span&gt;===  
===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth]]12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth&lt;/span&gt;===  
&lt;span style="background-color: #ffffff;"&gt;Exactly twice a supermajor second, thrice a neutral second, or four times a minor second. In the 7-limit, 12\31 functions as 32:21 (729.22¢). It is also quite close to the &lt;/span&gt;[[xenharmonic/17-limit|17-limit]] &lt;span style="background-color: #ffffff;"&gt;interval 26/17 (735.57¢) and 19\31edo (735.48¢). However, although 31edt offers up a reasonable approximation of the 17th harmonic (18\31), no such approximation of the 13th comes with it to help make this identity clear. Generates &lt;/span&gt;[[xenharmonic/semisept|f]]alse Father&lt;span style="background-color: #ffffff;"&gt; temperament.&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;Exactly twice a supermajor second, thrice a neutral second, or four times a minor second. In the 7-limit, 12\31 functions as 32:21 (729.22¢). It is also quite close to the &lt;/span&gt;[[xenharmonic/17-limit|17-limit]] &lt;span style="background-color: #ffffff;"&gt;interval 26/17 (735.57¢) and 19\31edo (735.48¢). However, although 31edt offers up a reasonable approximation of the 17th harmonic (18\31), no such approximation of the 13th comes with it to help make this identity clear. Generates f&lt;/span&gt;alse Father&lt;span style="background-color: #ffffff;"&gt; temperament.&lt;/span&gt;
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:]]MOS Scales generated by 12\31:&lt;/span&gt;====  
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:]]MOS Scales generated by 12\31:&lt;/span&gt;====  
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
||~ number of tones ||~ MOS class ||~ 0 ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||~ 12 ||~ 13 ||~ 14 ||~ 15 ||~ 16 ||~ 17 ||~ 18 ||~ 19 ||~ 20 ||~ 21 ||~ 22 ||~ 23 ||~ 24 ||~ 25 ||~ 26 ||~ 27 ||~ 28 ||~ 29 ||~ 30 ||
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|| 20-tone || [[xenharmonic/11L 9s|11L 9s]] || 2 ||  || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 ||
|| 20-tone || [[xenharmonic/11L 9s|11L 9s]] || 2 ||  || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 || 2 ||  || 1 ||


===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth]]15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&lt;/span&gt;===  
===&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth]]15\31 tritave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&lt;/span&gt;===  
&lt;span style="background-color: #ffffff;"&gt;In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates Trans-[[Arcturus]] temperament.&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates Trans-[[Arcturus]] temperament.&lt;/span&gt;
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:]]MOS Scales generated by 15\31:&lt;/span&gt;====  
====&lt;span style="background-color: #ffffff;"&gt;[[#Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:]]MOS Scales generated by 15\31:&lt;/span&gt;====  
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&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="Intervals--2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:59:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:59 --&gt;2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second&lt;/span&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="Intervals--2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:59:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:59 --&gt;2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second&lt;/span&gt;&lt;/h3&gt;
  &lt;span style="background-color: #ffffff;"&gt;The difference between a major and minor third and the thing to a 'half step'; in macromeantone, it is exactly analogus to the &lt;/span&gt;&lt;em&gt;&lt;span style="background-color: #ffffff;"&gt;chromatic semitone&lt;/span&gt;&lt;/em&gt;&lt;span style="background-color: #ffffff;"&gt;, the interval that distinguishes major and minor intervals of the same generic interval class (eg. thirds).&lt;/span&gt;&lt;br /&gt;
  &lt;span style="background-color: #ffffff;"&gt;The difference between a major and minor third and the closest thing to a 'half step'; in macromeantone, it is exactly analogus to the &lt;/span&gt;&lt;em&gt;&lt;span style="background-color: #ffffff;"&gt;chromatic semitone&lt;/span&gt;&lt;/em&gt;&lt;span style="background-color: #ffffff;"&gt;, the interval that distinguishes major and minor intervals of the same generic interval class (eg. thirds).&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="Intervals--2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second-MOS Scales generated by 2\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:60:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:60 --&gt;MOS Scales generated by 2\31:&lt;/span&gt;&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="Intervals--2\31 tritave - approx. 122.71¢ - Two-third tone or Small Minor Second-MOS Scales generated by 2\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:60:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-2\31 octave - approx. 77.42¢ - Minor Semitone or Chromatic Semitone or Small Minor Second-MOS Scales generated by 2\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:60 --&gt;MOS Scales generated by 2\31:&lt;/span&gt;&lt;/h4&gt;
   
   
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&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Intervals--8\31 octave - approx. 490.83¢ - Minor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:71:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:71 --&gt;8\31 octave - approx. 490.83¢ - Minor Third&lt;/span&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Intervals--8\31 octave - approx. 490.83¢ - Minor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:71:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:71 --&gt;8\31 octave - approx. 490.83¢ - Minor Third&lt;/span&gt;&lt;/h3&gt;
  &lt;span style="background-color: #ffffff;"&gt;A 4:3 ~1.3 syntonic comma flat. Exactly twice a neutral second, four times a minor semitone, and half of a large tritone. Generates a Fair Sigma scale&lt;/span&gt;&lt;br /&gt;
  &lt;span style="background-color: #ffffff;"&gt;A 4:3 ~1/3 syntonic comma flat. Exactly twice a neutral second, four times a minor semitone, and half of a large tritone. Generates a Fair Sigma scale&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc15"&gt;&lt;a name="Intervals--8\31 octave - approx. 490.83¢ - Minor Third-MOS Scales generated by 8\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:72:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:72 --&gt;MOS Scales generated by 8\31:&lt;/span&gt;&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc15"&gt;&lt;a name="Intervals--8\31 octave - approx. 490.83¢ - Minor Third-MOS Scales generated by 8\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:72:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-8\31 octave - approx. 309.68¢ - Minor Third-MOS Scales generated by 8\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:72 --&gt;MOS Scales generated by 8\31:&lt;/span&gt;&lt;/h4&gt;
   
   
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&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="Intervals--10\31 tritave - approx. 613.53¢ - Major Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:75:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:75 --&gt;10\31 tritave - approx. 613.53¢ - Major Third&lt;/span&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="Intervals--10\31 tritave - approx. 613.53¢ - Major Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:75:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:75 --&gt;10\31 tritave - approx. 613.53¢ - Major Third&lt;/span&gt;&lt;/h3&gt;
  &lt;span style="background-color: #ffffff;"&gt;A near-enough-just greater septimal (compare with 10:7 = 617.49¢). Generates &lt;/span&gt;&lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;wurshmidt/worshmidt temperaments&lt;/a&gt;&lt;span style="background-color: #ffffff;"&gt;.&lt;/span&gt;&lt;br /&gt;
  &lt;span style="background-color: #ffffff;"&gt;A near-enough-just greater septimal tritone (compare with 10:7 = 617.49¢). Generates &lt;/span&gt;&lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;wurshmidt/worshmidt temperaments&lt;/a&gt;&lt;span style="background-color: #ffffff;"&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc19"&gt;&lt;a name="Intervals--10\31 tritave - approx. 613.53¢ - Major Third-MOS Scales generated by 10\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:76:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:76 --&gt;MOS Scales generated by 10\31:&lt;/span&gt;&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc19"&gt;&lt;a name="Intervals--10\31 tritave - approx. 613.53¢ - Major Third-MOS Scales generated by 10\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:76:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-10\31 octave - approx. 387.10¢ - Major Third-MOS Scales generated by 10\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:76 --&gt;MOS Scales generated by 10\31:&lt;/span&gt;&lt;/h4&gt;
   
   
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&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:77:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:77 --&gt;11\31 tritave - approx. 674.89¢ - Supermajor Third&lt;/span&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:77:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:77 --&gt;11\31 tritave - approx. 674.89¢ - Supermajor Third&lt;/span&gt;&lt;/h3&gt;
  &lt;span style="background-color: #ffffff;"&gt;11\31 functions as 126:85 (681.47¢). In metameantone temperament, it is a diminished fourth, eg. C to Fb. It is notable as closely approximating the 9/16edo Armodue sixth. Generates the Unfair Mu scale.&lt;/span&gt;&lt;br /&gt;
  &lt;span style="background-color: #ffffff;"&gt;11\31 functions as 126:85 (681.47¢). In macromeantone temperament, it is a diminished fourth, eg. C to Fb. It is notable as closely approximating the 9/16edo Armodue sixth. Generates the Unfair Mu scale.&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc21"&gt;&lt;a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third-MOS Scales generated by 11\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:78:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:78 --&gt;MOS Scales generated by 11\31:&lt;/span&gt;&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc21"&gt;&lt;a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third-MOS Scales generated by 11\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:78:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:78 --&gt;MOS Scales generated by 11\31:&lt;/span&gt;&lt;/h4&gt;
   
   
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&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc22"&gt;&lt;a name="Intervals--12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:79:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:79 --&gt;12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth&lt;/span&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc22"&gt;&lt;a name="Intervals--12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:79:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:79 --&gt;12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth&lt;/span&gt;&lt;/h3&gt;
  &lt;span style="background-color: #ffffff;"&gt;Exactly twice a supermajor second, thrice a neutral second, or four times a minor second. In the 7-limit, 12\31 functions as 32:21 (729.22¢). It is also quite close to the &lt;/span&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17-limit"&gt;17-limit&lt;/a&gt; &lt;span style="background-color: #ffffff;"&gt;interval 26/17 (735.57¢) and 19\31edo (735.48¢). However, although 31edt offers up a reasonable approximation of the 17th harmonic (18\31), no such approximation of the 13th comes with it to help make this identity clear. Generates &lt;/span&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semisept"&gt;f&lt;/a&gt;alse Father&lt;span style="background-color: #ffffff;"&gt; temperament.&lt;/span&gt;&lt;br /&gt;
  &lt;span style="background-color: #ffffff;"&gt;Exactly twice a supermajor second, thrice a neutral second, or four times a minor second. In the 7-limit, 12\31 functions as 32:21 (729.22¢). It is also quite close to the &lt;/span&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17-limit"&gt;17-limit&lt;/a&gt; &lt;span style="background-color: #ffffff;"&gt;interval 26/17 (735.57¢) and 19\31edo (735.48¢). However, although 31edt offers up a reasonable approximation of the 17th harmonic (18\31), no such approximation of the 13th comes with it to help make this identity clear. Generates f&lt;/span&gt;alse Father&lt;span style="background-color: #ffffff;"&gt; temperament.&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc23"&gt;&lt;a name="Intervals--12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:80:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:80 --&gt;MOS Scales generated by 12\31:&lt;/span&gt;&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc23"&gt;&lt;a name="Intervals--12\31 tritave - approx. 736.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:80:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-12\31 octave - approx. 464.52¢ - Narrow Fourth or Subfourth-MOS Scales generated by 12\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:80 --&gt;MOS Scales generated by 12\31:&lt;/span&gt;&lt;/h4&gt;
   
   
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&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc27"&gt;&lt;a name="Intervals--15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:84:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:84 --&gt;15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&lt;/span&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc27"&gt;&lt;a name="Intervals--15\31 tritave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:84:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:84 --&gt;15\31 tritave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&lt;/span&gt;&lt;/h3&gt;
  &lt;span style="background-color: #ffffff;"&gt;In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates Trans-&lt;a class="wiki_link" href="/Arcturus"&gt;Arcturus&lt;/a&gt; temperament.&lt;/span&gt;&lt;br /&gt;
  &lt;span style="background-color: #ffffff;"&gt;In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates Trans-&lt;a class="wiki_link" href="/Arcturus"&gt;Arcturus&lt;/a&gt; temperament.&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc28"&gt;&lt;a name="Intervals--15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:85:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:85 --&gt;MOS Scales generated by 15\31:&lt;/span&gt;&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc28"&gt;&lt;a name="Intervals--15\31 tritave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;!-- ws:start:WikiTextAnchorRule:85:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:&amp;quot; title=&amp;quot;Anchor: Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:&amp;quot;/&amp;gt; --&gt;&lt;a name="Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:85 --&gt;MOS Scales generated by 15\31:&lt;/span&gt;&lt;/h4&gt;
   
   


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