31edt: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 596565200 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 596565222 - 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 22:17:18 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-22 22:18:00 UTC</tt>.<br>
: The original revision id was <tt>596565200</tt>.<br>
: The original revision id was <tt>596565222</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-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;.&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;[[#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-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 octave - 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 Super-[[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;====  
||~ 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;!-- 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;span style="background-color: #ffffff;"&gt;.&lt;/span&gt;&lt;br /&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;!-- 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: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 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;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 Super-&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 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;