Quarter-comma meantone: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 232803182 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 232809842 - 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>
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: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-30 00:05:50 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-30 01:01:42 UTC</tt>.<br>
: The original revision id was <tt>232803182</tt>.<br>
: The original revision id was <tt>232809842</tt>.<br>
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=Intervals of quarter-comma meantone=
=Intervals of quarter-comma meantone=
 
Below is a table listing 36 of the notes of quarter-comma meantone, giving the size in cents, the number of fifths up or down on the chain of fifths, the [[http://en.wikipedia.org/wiki/Letter_notation|letter notation]] for the interval relative to C as the tonic, the traditional name for the interval, a shorthand form of the name, and the size of the interval in [[Fractional monzos|fractional monzo]] notation.


|| 0. || 0 || C || Unison || P1 || [0 0 0&gt; ||
|| 0. || 0 || C || Unison || P1 || [0 0 0&gt; ||
|| 41.0590 || -12 || Dbb || Diminished second || d2 || [7 0 -3&gt; ||
|| 41.0590 || -12 || Dbb || Diminished second, diesis || d2 || [7 0 -3&gt; ||
|| 76.0490 || 7 || C# || Augmented unison, chromatic semitone || A1 || [-4 0 7/4&gt; ||
|| 76.0490 || 7 || C# || Augmented unison, chromatic semitone || A1 || [-4 0 7/4&gt; ||
|| 117.108 || -5 || Db || Minor second || m2 || [3 0 -5/4&gt; ||
|| 117.108 || -5 || Db || Minor second, diatonic semitone || m2 || [3 0 -5/4&gt; ||
|| 152.098 || 14 || C## || Doubly augmented unison, augmented chromatic semitone || || [-8 0  
|| 152.098 || 14 || C## || Augmented chromatic semitone || || [-8 0  


7/2&gt; ||
7/2&gt; ||
|| 158.167 || -17 || Ebbb || Doubly diminished third || || [10 0 -17/4&gt; ||
|| 158.167 || -17 || Ebbb || Doubly diminished third || || [10 0 -17/4&gt; ||
|| 193.157 || 2 || D || Major second || M2 || [-1 0 1/2&gt; ||
|| 193.157 || 2 || D || Major second || M2 || [-1 0 1/2&gt; ||
|| 234.216 || -10 || Ebb || Diminised third || d3 || [6 0 -5/2&gt; ||
|| 234.216 || -10 || Ebb || Diminished third || d3 || [6 0 -5/2&gt; ||
|| 269.206 || 9 || D# || Augmented second || A2 || [-5 0 9/4&gt; ||
|| 269.206 || 9 || D# || Augmented second || A2 || [-5 0 9/4&gt; ||
|| 310.265 || -3 || Eb || Minor third || m3 || [2 0 -3/4&gt; ||
|| 310.265 || -3 || Eb || Minor third || m3 || [2 0 -3/4&gt; ||
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|| 813.686 || -4 || Ab || Minor sixth || m6 || [3 0 -1&gt; ||
|| 813.686 || -4 || Ab || Minor sixth || m6 || [3 0 -1&gt; ||
|| 848.676 || 15 || G## || Doubly augmented fifth || || [-8 0 15/4&gt; ||
|| 848.676 || 15 || G## || Doubly augmented fifth || || [-8 0 15/4&gt; ||
|| 854.745 || -16 || Bbbb || Soubly diminished seventh || || [10 0 -4&gt; ||
|| 854.745 || -16 || Bbbb || Doubly diminished seventh || || [10 0 -4&gt; ||
|| 889.735 || 3 || A || Major sixth || M6 || [-1 0 3/4&gt; ||
|| 889.735 || 3 || A || Major sixth || M6 || [-1 0 3/4&gt; ||
|| 930.794 || -9 || Bbb || Diminshed seventh || d7 || [6 0 -9/4&gt; ||
|| 930.794 || -9 || Bbb || Diminished seventh || d7 || [6 0 -9/4&gt; ||
|| 965.784 || 10 || A# || Augmented sixth || A6 || [-5 0 5/2&gt; ||
|| 965.784 || 10 || A# || Augmented sixth || A6 || [-5 0 5/2&gt; ||
|| 1006.843 || -2 || Bb || Minor seventh || m7 || [2 0 -1/2&gt; ||
|| 1006.843 || -2 || Bb || Minor seventh || m7 || [2 0 -1/2&gt; ||
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Intervals of quarter-comma meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Intervals of quarter-comma meantone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Intervals of quarter-comma meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Intervals of quarter-comma meantone&lt;/h1&gt;
&lt;br /&gt;
Below is a table listing 36 of the notes of quarter-comma meantone, giving the size in cents, the number of fifths up or down on the chain of fifths, the &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Letter_notation" rel="nofollow"&gt;letter notation&lt;/a&gt; for the interval relative to C as the tonic, the traditional name for the interval, a shorthand form of the name, and the size of the interval in &lt;a class="wiki_link" href="/Fractional%20monzos"&gt;fractional monzo&lt;/a&gt; notation.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;


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         &lt;td&gt;Dbb&lt;br /&gt;
         &lt;td&gt;Dbb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Diminished second&lt;br /&gt;
         &lt;td&gt;Diminished second, diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;d2&lt;br /&gt;
         &lt;td&gt;d2&lt;br /&gt;
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         &lt;td&gt;Db&lt;br /&gt;
         &lt;td&gt;Db&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Minor second&lt;br /&gt;
         &lt;td&gt;Minor second, diatonic semitone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m2&lt;br /&gt;
         &lt;td&gt;m2&lt;br /&gt;
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         &lt;td&gt;C##&lt;br /&gt;
         &lt;td&gt;C##&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Doubly augmented unison, augmented chromatic semitone&lt;br /&gt;
         &lt;td&gt;Augmented chromatic semitone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;Ebb&lt;br /&gt;
         &lt;td&gt;Ebb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Diminised third&lt;br /&gt;
         &lt;td&gt;Diminished third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;d3&lt;br /&gt;
         &lt;td&gt;d3&lt;br /&gt;
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         &lt;td&gt;Bbbb&lt;br /&gt;
         &lt;td&gt;Bbbb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Soubly diminished seventh&lt;br /&gt;
         &lt;td&gt;Doubly diminished seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;Bbb&lt;br /&gt;
         &lt;td&gt;Bbb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Diminshed seventh&lt;br /&gt;
         &lt;td&gt;Diminished seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;d7&lt;br /&gt;
         &lt;td&gt;d7&lt;br /&gt;