Quarter-comma meantone: Difference between revisions

Revision as of 01:01, 30 May 2011

IMPORTED REVISION FROM WIKISPACES

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This revision was by author genewardsmith and made on 2011-05-30 01:01:42 UTC.

The original revision id was 232809842.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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=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> ||
|| 41.0590 || -12 || Dbb || Diminished second, diesis || d2 || [7 0 -3> ||
|| 76.0490 || 7 || C# || Augmented unison, chromatic semitone || A1 || [-4 0 7/4> ||
|| 117.108 || -5 || Db || Minor second, diatonic semitone || m2 || [3 0 -5/4> ||
|| 152.098 || 14 || C## || Augmented chromatic semitone || || [-8 0 

7/2> ||
|| 158.167 || -17 || Ebbb || Doubly diminished third || || [10 0 -17/4> ||
|| 193.157 || 2 || D || Major second || M2 || [-1 0 1/2> ||
|| 234.216 || -10 || Ebb || Diminished third || d3 || [6 0 -5/2> ||
|| 269.206 || 9 || D# || Augmented second || A2 || [-5 0 9/4> ||
|| 310.265 || -3 || Eb || Minor third || m3 || [2 0 -3/4> ||
|| 345.255 || 16 || D## || Doubly augmented second || || [-9 0 4> ||
|| 351.324 || -15 || Fbb || Doubly diminished fourth || || [9 0 -15/4> ||
|| 386.314 || 4 || E || Major third || M3 || [-2 0 1> ||
|| 427.373 || -8 || Fb || Diminished fourth || d4 || [5 0 -2> ||
|| 462.363 || 11 || E# || Augmented third || A3 || [-6 0 11/4> ||
|| 503.422 || -1 || F || Perfect fourth || P4 || [1 0 -1/4> ||
|| 544.480 || -13 || Gbb || Doubly diminished fifth || || [8 0 -13/4> ||
|| 579.471 || 6 || F# || Augmented fourth || || [-3 0 3/2> ||
|| 620.529 || -6 || Gb || Diminished fifth || || [4 0 -3/2> ||
|| 655.520 || 13 || F## || Doubly augmented fourth || || [-7 0 13/4> ||
|| 696.578 || 1 || G || Perfect fifth || P5 || [0 0 1/4> ||
|| 737.637 || -11 || Abb || Diminshed sixth|| d6 || [7 0 -11/4> ||
|| 772.627 || 8 || G# || Augmented fifth || A5 || [-4 0 2> ||
|| 813.686 || -4 || Ab || Minor sixth || m6 || [3 0 -1> ||
|| 848.676 || 15 || G## || Doubly augmented fifth || || [-8 0 15/4> ||
|| 854.745 || -16 || Bbbb || Doubly diminished seventh || || [10 0 -4> ||
|| 889.735 || 3 || A || Major sixth || M6 || [-1 0 3/4> ||
|| 930.794 || -9 || Bbb || Diminished seventh || d7 || [6 0 -9/4> ||
|| 965.784 || 10 || A# || Augmented sixth || A6 || [-5 0 5/2> ||
|| 1006.843 || -2 || Bb || Minor seventh || m7 || [2 0 -1/2> ||
|| 1041.833 || 17 || A## || Doubly augmented sixth || || [-9 0 17/4> ||
|| 1047.902 || -14 || C'bb || Doubly diminished octave || || [9 0 -7/2> ||
|| 1082.892 || 5 || B || Major seventh || M7 || [-2 0 5/4> ||
|| 1123.951 || -7 || C'b || Diminished octave || d8 || [5 0 -7/4> ||
|| 1158.941 || 12 || B# || Augmented seventh || A7 || [-6 0 3> ||
|| 1200.000 || 0 || C' || Perfect octave || P8 || [1 0 0> ||

Original HTML content:

<html><head><title>Quarter-comma meantone</title></head><body><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Intervals of quarter-comma meantone"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals of quarter-comma meantone</h1>
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 <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Letter_notation" rel="nofollow">letter notation</a> 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 <a class="wiki_link" href="/Fractional%20monzos">fractional monzo</a> notation.<br />
<br />


<table class="wiki_table">
    <tr>
        <td>0.<br />
</td>
        <td>0<br />
</td>
        <td>C<br />
</td>
        <td>Unison<br />
</td>
        <td>P1<br />
</td>
        <td>[0 0 0&gt;<br />
</td>
    </tr>
    <tr>
        <td>41.0590<br />
</td>
        <td>-12<br />
</td>
        <td>Dbb<br />
</td>
        <td>Diminished second, diesis<br />
</td>
        <td>d2<br />
</td>
        <td>[7 0 -3&gt;<br />
</td>
    </tr>
    <tr>
        <td>76.0490<br />
</td>
        <td>7<br />
</td>
        <td>C#<br />
</td>
        <td>Augmented unison, chromatic semitone<br />
</td>
        <td>A1<br />
</td>
        <td>[-4 0 7/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>117.108<br />
</td>
        <td>-5<br />
</td>
        <td>Db<br />
</td>
        <td>Minor second, diatonic semitone<br />
</td>
        <td>m2<br />
</td>
        <td>[3 0 -5/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>152.098<br />
</td>
        <td>14<br />
</td>
        <td>C##<br />
</td>
        <td>Augmented chromatic semitone<br />
</td>
        <td><br />
</td>
        <td>[-8 0 <br />
<br />
7/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>158.167<br />
</td>
        <td>-17<br />
</td>
        <td>Ebbb<br />
</td>
        <td>Doubly diminished third<br />
</td>
        <td><br />
</td>
        <td>[10 0 -17/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>193.157<br />
</td>
        <td>2<br />
</td>
        <td>D<br />
</td>
        <td>Major second<br />
</td>
        <td>M2<br />
</td>
        <td>[-1 0 1/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>234.216<br />
</td>
        <td>-10<br />
</td>
        <td>Ebb<br />
</td>
        <td>Diminished third<br />
</td>
        <td>d3<br />
</td>
        <td>[6 0 -5/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>269.206<br />
</td>
        <td>9<br />
</td>
        <td>D#<br />
</td>
        <td>Augmented second<br />
</td>
        <td>A2<br />
</td>
        <td>[-5 0 9/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>310.265<br />
</td>
        <td>-3<br />
</td>
        <td>Eb<br />
</td>
        <td>Minor third<br />
</td>
        <td>m3<br />
</td>
        <td>[2 0 -3/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>345.255<br />
</td>
        <td>16<br />
</td>
        <td>D##<br />
</td>
        <td>Doubly augmented second<br />
</td>
        <td><br />
</td>
        <td>[-9 0 4&gt;<br />
</td>
    </tr>
    <tr>
        <td>351.324<br />
</td>
        <td>-15<br />
</td>
        <td>Fbb<br />
</td>
        <td>Doubly diminished fourth<br />
</td>
        <td><br />
</td>
        <td>[9 0 -15/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>386.314<br />
</td>
        <td>4<br />
</td>
        <td>E<br />
</td>
        <td>Major third<br />
</td>
        <td>M3<br />
</td>
        <td>[-2 0 1&gt;<br />
</td>
    </tr>
    <tr>
        <td>427.373<br />
</td>
        <td>-8<br />
</td>
        <td>Fb<br />
</td>
        <td>Diminished fourth<br />
</td>
        <td>d4<br />
</td>
        <td>[5 0 -2&gt;<br />
</td>
    </tr>
    <tr>
        <td>462.363<br />
</td>
        <td>11<br />
</td>
        <td>E#<br />
</td>
        <td>Augmented third<br />
</td>
        <td>A3<br />
</td>
        <td>[-6 0 11/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>503.422<br />
</td>
        <td>-1<br />
</td>
        <td>F<br />
</td>
        <td>Perfect fourth<br />
</td>
        <td>P4<br />
</td>
        <td>[1 0 -1/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>544.480<br />
</td>
        <td>-13<br />
</td>
        <td>Gbb<br />
</td>
        <td>Doubly diminished fifth<br />
</td>
        <td><br />
</td>
        <td>[8 0 -13/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>579.471<br />
</td>
        <td>6<br />
</td>
        <td>F#<br />
</td>
        <td>Augmented fourth<br />
</td>
        <td><br />
</td>
        <td>[-3 0 3/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>620.529<br />
</td>
        <td>-6<br />
</td>
        <td>Gb<br />
</td>
        <td>Diminished fifth<br />
</td>
        <td><br />
</td>
        <td>[4 0 -3/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>655.520<br />
</td>
        <td>13<br />
</td>
        <td>F##<br />
</td>
        <td>Doubly augmented fourth<br />
</td>
        <td><br />
</td>
        <td>[-7 0 13/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>696.578<br />
</td>
        <td>1<br />
</td>
        <td>G<br />
</td>
        <td>Perfect fifth<br />
</td>
        <td>P5<br />
</td>
        <td>[0 0 1/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>737.637<br />
</td>
        <td>-11<br />
</td>
        <td>Abb<br />
</td>
        <td>Diminshed sixth<br />
</td>
        <td>d6<br />
</td>
        <td>[7 0 -11/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>772.627<br />
</td>
        <td>8<br />
</td>
        <td>G#<br />
</td>
        <td>Augmented fifth<br />
</td>
        <td>A5<br />
</td>
        <td>[-4 0 2&gt;<br />
</td>
    </tr>
    <tr>
        <td>813.686<br />
</td>
        <td>-4<br />
</td>
        <td>Ab<br />
</td>
        <td>Minor sixth<br />
</td>
        <td>m6<br />
</td>
        <td>[3 0 -1&gt;<br />
</td>
    </tr>
    <tr>
        <td>848.676<br />
</td>
        <td>15<br />
</td>
        <td>G##<br />
</td>
        <td>Doubly augmented fifth<br />
</td>
        <td><br />
</td>
        <td>[-8 0 15/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>854.745<br />
</td>
        <td>-16<br />
</td>
        <td>Bbbb<br />
</td>
        <td>Doubly diminished seventh<br />
</td>
        <td><br />
</td>
        <td>[10 0 -4&gt;<br />
</td>
    </tr>
    <tr>
        <td>889.735<br />
</td>
        <td>3<br />
</td>
        <td>A<br />
</td>
        <td>Major sixth<br />
</td>
        <td>M6<br />
</td>
        <td>[-1 0 3/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>930.794<br />
</td>
        <td>-9<br />
</td>
        <td>Bbb<br />
</td>
        <td>Diminished seventh<br />
</td>
        <td>d7<br />
</td>
        <td>[6 0 -9/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>965.784<br />
</td>
        <td>10<br />
</td>
        <td>A#<br />
</td>
        <td>Augmented sixth<br />
</td>
        <td>A6<br />
</td>
        <td>[-5 0 5/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>1006.843<br />
</td>
        <td>-2<br />
</td>
        <td>Bb<br />
</td>
        <td>Minor seventh<br />
</td>
        <td>m7<br />
</td>
        <td>[2 0 -1/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>1041.833<br />
</td>
        <td>17<br />
</td>
        <td>A##<br />
</td>
        <td>Doubly augmented sixth<br />
</td>
        <td><br />
</td>
        <td>[-9 0 17/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>1047.902<br />
</td>
        <td>-14<br />
</td>
        <td>C'bb<br />
</td>
        <td>Doubly diminished octave<br />
</td>
        <td><br />
</td>
        <td>[9 0 -7/2&gt;<br />
</td>
    </tr>
    <tr>
        <td>1082.892<br />
</td>
        <td>5<br />
</td>
        <td>B<br />
</td>
        <td>Major seventh<br />
</td>
        <td>M7<br />
</td>
        <td>[-2 0 5/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>1123.951<br />
</td>
        <td>-7<br />
</td>
        <td>C'b<br />
</td>
        <td>Diminished octave<br />
</td>
        <td>d8<br />
</td>
        <td>[5 0 -7/4&gt;<br />
</td>
    </tr>
    <tr>
        <td>1158.941<br />
</td>
        <td>12<br />
</td>
        <td>B#<br />
</td>
        <td>Augmented seventh<br />
</td>
        <td>A7<br />
</td>
        <td>[-6 0 3&gt;<br />
</td>
    </tr>
    <tr>
        <td>1200.000<br />
</td>
        <td>0<br />
</td>
        <td>C'<br />
</td>
        <td>Perfect octave<br />
</td>
        <td>P8<br />
</td>
        <td>[1 0 0&gt;<br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: 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>
 : 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>
@@ Line 9: / Line 9: @@
 =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; ||
-|| 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; ||
-|| 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
 /2&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; ||
-|| 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; ||
 || 310.265 || -3 || Eb || Minor third || m3 || [2 0 -3/4&gt; ||
@@ Line 38: / Line 38: @@
 || 813.686 || -4 || Ab || Minor sixth || m6 || [3 0 -1&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; ||
-|| 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; ||
 || 1006.843 || -2 || Bb || Minor seventh || m7 || [2 0 -1/2&gt; ||
@@ Line 53: / Line 53: @@
 &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;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;
@@ Line 79: / Line 79: @@
          &lt;td&gt;Dbb&lt;br /&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;d2&lt;br /&gt;
@@ Line 107: / Line 107: @@
          &lt;td&gt;Db&lt;br /&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;m2&lt;br /&gt;
@@ Line 121: / Line 121: @@
          &lt;td&gt;C##&lt;br /&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;br /&gt;
@@ Line 165: / Line 165: @@
          &lt;td&gt;Ebb&lt;br /&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;d3&lt;br /&gt;
@@ Line 417: / Line 417: @@
          &lt;td&gt;Bbbb&lt;br /&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;br /&gt;
@@ Line 445: / Line 445: @@
          &lt;td&gt;Bbb&lt;br /&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;d7&lt;br /&gt;

Quarter-comma meantone: Difference between revisions

Revision as of 01:01, 30 May 2011

IMPORTED REVISION FROM WIKISPACES

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