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: | : 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> | : 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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===<span style="background-color: #ffffff;">[[#Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third]]11\31 tritave - approx. 674.89¢ - Supermajor Third</span>=== | ===<span style="background-color: #ffffff;">[[#Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third]]11\31 tritave - approx. 674.89¢ - Supermajor Third</span>=== | ||
<span style="background-color: #ffffff;">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 | <span style="background-color: #ffffff;">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.</span> | ||
====<span style="background-color: #ffffff;">[[#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:</span>==== | ====<span style="background-color: #ffffff;">[[#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:</span>==== | ||
||~ 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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===<span style="background-color: #ffffff;">[[#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</span>=== | ===<span style="background-color: #ffffff;">[[#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</span>=== | ||
<span style="background-color: #ffffff;">In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates | <span style="background-color: #ffffff;">In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates Trans-[[Arcturus]] temperament.</span> | ||
====<span style="background-color: #ffffff;">[[#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:</span>==== | ====<span style="background-color: #ffffff;">[[#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:</span>==== | ||
||~ 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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<!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third"></a><!-- ws:end:WikiTextHeadingRule:40 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:77:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&quot; title=&quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&quot;/&gt; --><a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third"></a><!-- ws:end:WikiTextAnchorRule:77 -->11\31 tritave - approx. 674.89¢ - Supermajor Third</span></h3> | <!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third"></a><!-- ws:end:WikiTextHeadingRule:40 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:77:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&quot; title=&quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third&quot;/&gt; --><a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third"></a><!-- ws:end:WikiTextAnchorRule:77 -->11\31 tritave - approx. 674.89¢ - Supermajor Third</span></h3> | ||
<span style="background-color: #ffffff;">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 | <span style="background-color: #ffffff;">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.</span><br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h4&gt; --><h4 id="toc21"><a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third-MOS Scales generated by 11\31:"></a><!-- ws:end:WikiTextHeadingRule:42 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:78:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&quot; title=&quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&quot;/&gt; --><a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:"></a><!-- ws:end:WikiTextAnchorRule:78 -->MOS Scales generated by 11\31:</span></h4> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h4&gt; --><h4 id="toc21"><a name="Intervals--11\31 tritave - approx. 674.89¢ - Supermajor Third-MOS Scales generated by 11\31:"></a><!-- ws:end:WikiTextHeadingRule:42 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:78:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&quot; title=&quot;Anchor: Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:&quot;/&gt; --><a name="Intervals-Selected just intervals by error-11\31 octave - approx. 425.806¢ - Supermajor Third-MOS Scales generated by 11\31:"></a><!-- ws:end:WikiTextAnchorRule:78 -->MOS Scales generated by 11\31:</span></h4> | ||
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<!-- ws:start:WikiTextHeadingRule:54:&lt;h3&gt; --><h3 id="toc27"><a name="Intervals--15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"></a><!-- ws:end:WikiTextHeadingRule:54 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:84:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&quot; title=&quot;Anchor: Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&quot;/&gt; --><a name="Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"></a><!-- ws:end:WikiTextAnchorRule:84 -->15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth</span></h3> | <!-- ws:start:WikiTextHeadingRule:54:&lt;h3&gt; --><h3 id="toc27"><a name="Intervals--15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"></a><!-- ws:end:WikiTextHeadingRule:54 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:84:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&quot; title=&quot;Anchor: Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth&quot;/&gt; --><a name="Intervals-Selected just intervals by error-15\31 octave - approx. 580.65¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth"></a><!-- ws:end:WikiTextAnchorRule:84 -->15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth</span></h3> | ||
<span style="background-color: #ffffff;">In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates | <span style="background-color: #ffffff;">In 23-limit tonal music, functions quite well as 46:27 (922.41¢). Exactly thrice a whole tone. Generates Trans-<a class="wiki_link" href="/Arcturus">Arcturus</a> temperament.</span><br /> | ||
<!-- ws:start:WikiTextHeadingRule:56:&lt;h4&gt; --><h4 id="toc28"><a name="Intervals--15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:"></a><!-- ws:end:WikiTextHeadingRule:56 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:85:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&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:&quot; title=&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:&quot;/&gt; --><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:"></a><!-- ws:end:WikiTextAnchorRule:85 -->MOS Scales generated by 15\31:</span></h4> | <!-- ws:start:WikiTextHeadingRule:56:&lt;h4&gt; --><h4 id="toc28"><a name="Intervals--15\31 octave - approx. 920.3¢ - Small Tritone or Augmented Fourth or Subdiminished Fifth-MOS Scales generated by 15\31:"></a><!-- ws:end:WikiTextHeadingRule:56 --><span style="background-color: #ffffff;"><!-- ws:start:WikiTextAnchorRule:85:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&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:&quot; title=&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:&quot;/&gt; --><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:"></a><!-- ws:end:WikiTextAnchorRule:85 -->MOS Scales generated by 15\31:</span></h4> | ||