6edo: Difference between revisions

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Wikispaces>jdfreivald
**Imported revision 233283868 - Original comment: Added comma table.**
Wikispaces>jdfreivald
**Imported revision 233284252 - Original comment: **
Line 1: Line 1:
<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:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 17:21:02 UTC</tt>.<br>
: This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 17:22:03 UTC</tt>.<br>
: The original revision id was <tt>233283868</tt>.<br>
: The original revision id was <tt>233284252</tt>.<br>
: The revision comment was: <tt>Added comma table.</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
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6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)
6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)


||||||||||||  ||
||
|| Comma || Value (cents) || Name || Second Name || Third Name || Val ||
||~ Comma ||~ Value (cents) ||~ Name ||~ Second Name ||~ Val ||
|| 256/243 || 90.22 || Limma || Pythagorean Minor 2nd ||  || | 8 -5 &gt; ||
||= 256/243 ||&gt; 90.22 || Limma || Pythagorean Minor 2nd || | 8 -5 &gt; ||
|| 128/125 || 41.06 || Diesis || Augmented Comma ||  || | 7 0 -3 &gt; ||
||= 128/125 ||&gt; 41.06 || Diesis || Augmented Comma || | 7 0 -3 &gt; ||
|| 3125/3072 || 29.61 || Small Diesis || Magic Comma ||  || | -10 -1 5 &gt; ||
||= 3125/3072 ||&gt; 29.61 || Small Diesis || Magic Comma || | -10 -1 5 &gt; ||
|| 393216/390625 || 11.45 || Wuerschmidt Comma ||  ||  || | 17 1 -8 &gt; ||
||= 393216/390625 ||&gt; 11.45 || Wuerschmidt Comma ||  || | 17 1 -8 &gt; ||
|| 2783927/2773137 || 6.72 || Mutt Comma ||  ||  || | -44 -3 21 &gt; ||
||= 2783927/2773137 ||&gt; 6.72 || Mutt Comma ||  || | -44 -3 21 &gt; ||
|| 49/48 || 35.70 || Slendro Diesis ||  ||  || | -4 -1 2 &gt; ||
||= 49/48 ||&gt; 35.70 || Slendro Diesis ||  || | -4 -1 2 &gt; ||
|| 50/49 || 34.98 || Tritonic Diesis || Jubilisma ||  || | 1 2 -2 &gt; ||
||= 50/49 ||&gt; 34.98 || Tritonic Diesis || Jubilisma || | 1 2 -2 &gt; ||
|| 3136/3125 || 6.08 || Hemimean ||  ||  || | 6 -5 2 &gt; ||
||= 3136/3125 ||&gt; 6.08 || Hemimean ||  || | 6 -5 2 &gt; ||
|| 6144/6125 || 5.36 || Porwell ||  ||  || | 11 1 -3 -2 &gt; ||
||= 6144/6125 ||&gt; 5.36 || Porwell ||  || | 11 1 -3 -2 &gt; ||
|| 2401/2400 || 0.72 || Breedsma ||  ||  || | -5 -1 -2 4 &gt; ||
||= 2401/2400 ||&gt; 0.72 || Breedsma ||  || | -5 -1 -2 4 &gt; ||
|| 121/120 || 14.37 || Biyatisma ||  ||  || | -3 -1 -1 2 &gt; ||
||= 121/120 ||&gt; 14.37 || Biyatisma ||  || | -3 -1 -1 2 &gt; ||
|| 176/175 || 9.86 || Valinorsma ||  ||  || | 4 -2 -1 1 &gt; ||
||= 176/175 ||&gt; 9.86 || Valinorsma ||  || | 4 -2 -1 1 &gt; ||
|| 385/384 || 4.50 || Keenanisma ||  ||  || | -7 -1 1 1 1 &gt; ||</pre></div>
||= 385/384 ||&gt; 4.50 || Keenanisma ||  || | -7 -1 1 1 1 &gt; ||</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;6edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x6 Equal Divisions of the Octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;6 Equal Divisions of the Octave&lt;/h1&gt;
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;6edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x6 Equal Divisions of the Octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;6 Equal Divisions of the Octave&lt;/h1&gt;
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  6 EDO tempers out the following commas. (Note: This assumes val &amp;lt; 6 10 14 17 21 22 |.)&lt;br /&gt;
  6 EDO tempers out the following commas. (Note: This assumes val &amp;lt; 6 10 14 17 21 22 |.)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;




&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td colspan="6"&gt;&lt;br /&gt;
         &lt;th&gt;Comma&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
    &lt;/tr&gt;
         &lt;th&gt;Value (cents)&lt;br /&gt;
    &lt;tr&gt;
&lt;/th&gt;
        &lt;td&gt;Comma&lt;br /&gt;
         &lt;th&gt;Name&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;Value (cents)&lt;br /&gt;
         &lt;th&gt;Second Name&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;Name&lt;br /&gt;
         &lt;th&gt;Val&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;Second Name&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Third Name&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;Val&lt;br /&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;256/243&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;256/243&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;90.22&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;90.22&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Limma&lt;br /&gt;
         &lt;td&gt;Limma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean Minor 2nd&lt;br /&gt;
         &lt;td&gt;Pythagorean Minor 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 8 -5 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 8 -5 &amp;gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;128/125&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;128/125&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;41.06&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;41.06&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Diesis&lt;br /&gt;
         &lt;td&gt;Diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Comma&lt;br /&gt;
         &lt;td&gt;Augmented Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 7 0 -3 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 7 0 -3 &amp;gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;3125/3072&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3125/3072&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;29.61&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;29.61&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Small Diesis&lt;br /&gt;
         &lt;td&gt;Small Diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Magic Comma&lt;br /&gt;
         &lt;td&gt;Magic Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -10 -1 5 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -10 -1 5 &amp;gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;393216/390625&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;393216/390625&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;11.45&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;11.45&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Wuerschmidt Comma&lt;br /&gt;
         &lt;td&gt;Wuerschmidt Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;2783927/2773137&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2783927/2773137&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;6.72&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;6.72&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Mutt Comma&lt;br /&gt;
         &lt;td&gt;Mutt Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;49/48&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;49/48&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;35.70&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;35.70&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Slendro Diesis&lt;br /&gt;
         &lt;td&gt;Slendro Diesis&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;50/49&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;50/49&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;34.98&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;34.98&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Tritonic Diesis&lt;br /&gt;
         &lt;td&gt;Tritonic Diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Jubilisma&lt;br /&gt;
         &lt;td&gt;Jubilisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 1 2 -2 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 1 2 -2 &amp;gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;3136/3125&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3136/3125&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;6.08&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;6.08&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Hemimean&lt;br /&gt;
         &lt;td&gt;Hemimean&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6144/6125&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6144/6125&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5.36&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;5.36&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Porwell&lt;br /&gt;
         &lt;td&gt;Porwell&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;2401/2400&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2401/2400&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;0.72&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;0.72&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Breedsma&lt;br /&gt;
         &lt;td&gt;Breedsma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;121/120&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;121/120&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;14.37&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;14.37&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Biyatisma&lt;br /&gt;
         &lt;td&gt;Biyatisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;176/175&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;176/175&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9.86&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;9.86&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Valinorsma&lt;br /&gt;
         &lt;td&gt;Valinorsma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;385/384&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;385/384&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4.50&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;4.50&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Keenanisma&lt;br /&gt;
         &lt;td&gt;Keenanisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;

Revision as of 17:22, 31 May 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author jdfreivald and made on 2011-05-31 17:22:03 UTC.
The original revision id was 233284252.
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.

Original Wikitext content:

=6 Equal Divisions of the Octave= 
==="whole tone"=== 

6-edo divides the 1200-[[cents|cent]] octave into 6 equal parts, making its smallest interval exactly [[200¢]], or the sixth root of 2.

==Related scales== 
* Subset of 12edo.

==Notation== 
* Notatable on a five-line staff with standard.

==Harmony== 


==Melody== 



=== === 
===Music=== 
[[http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html|Dvandva]] by Milan Guštar.
[[http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3|The Good Boundless]] by Chris Vaisvil

==Commas== 
6 EDO tempers out the following commas. (Note: This assumes val < 6 10 14 17 21 22 |.)

||
||~ Comma ||~ Value (cents) ||~ Name ||~ Second Name ||~ Val ||
||= 256/243 ||> 90.22 || Limma || Pythagorean Minor 2nd || | 8 -5 > ||
||= 128/125 ||> 41.06 || Diesis || Augmented Comma || | 7 0 -3 > ||
||= 3125/3072 ||> 29.61 || Small Diesis || Magic Comma || | -10 -1 5 > ||
||= 393216/390625 ||> 11.45 || Wuerschmidt Comma ||   || | 17 1 -8 > ||
||= 2783927/2773137 ||> 6.72 || Mutt Comma ||   || | -44 -3 21 > ||
||= 49/48 ||> 35.70 || Slendro Diesis ||   || | -4 -1 2 > ||
||= 50/49 ||> 34.98 || Tritonic Diesis || Jubilisma || | 1 2 -2 > ||
||= 3136/3125 ||> 6.08 || Hemimean ||   || | 6 -5 2 > ||
||= 6144/6125 ||> 5.36 || Porwell ||   || | 11 1 -3 -2 > ||
||= 2401/2400 ||> 0.72 || Breedsma ||   || | -5 -1 -2 4 > ||
||= 121/120 ||> 14.37 || Biyatisma ||   || | -3 -1 -1 2 > ||
||= 176/175 ||> 9.86 || Valinorsma ||   || | 4 -2 -1 1 > ||
||= 385/384 ||> 4.50 || Keenanisma ||   || | -7 -1 1 1 1 > ||

Original HTML content:

<html><head><title>6edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x6 Equal Divisions of the Octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->6 Equal Divisions of the Octave</h1>
 <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x6 Equal Divisions of the Octave--&quot;whole tone&quot;"></a><!-- ws:end:WikiTextHeadingRule:2 -->&quot;whole tone&quot;</h3>
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6-edo divides the 1200-<a class="wiki_link" href="/cents">cent</a> octave into 6 equal parts, making its smallest interval exactly <a class="wiki_link" href="/200%C2%A2">200¢</a>, or the sixth root of 2.<br />
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x6 Equal Divisions of the Octave-Related scales"></a><!-- ws:end:WikiTextHeadingRule:4 -->Related scales</h2>
 <ul><li>Subset of 12edo.</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x6 Equal Divisions of the Octave-Notation"></a><!-- ws:end:WikiTextHeadingRule:6 -->Notation</h2>
 <ul><li>Notatable on a five-line staff with standard.</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x6 Equal Divisions of the Octave-Harmony"></a><!-- ws:end:WikiTextHeadingRule:8 -->Harmony</h2>
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x6 Equal Divisions of the Octave-Melody"></a><!-- ws:end:WikiTextHeadingRule:10 -->Melody</h2>
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<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><!-- ws:end:WikiTextHeadingRule:12 --> </h3>
 <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x6 Equal Divisions of the Octave-Melody-Music"></a><!-- ws:end:WikiTextHeadingRule:14 -->Music</h3>
 <a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html" rel="nofollow">Dvandva</a> by Milan Guštar.<br />
<a class="wiki_link_ext" href="http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3" rel="nofollow">The Good Boundless</a> by Chris Vaisvil<br />
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<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x6 Equal Divisions of the Octave-Commas"></a><!-- ws:end:WikiTextHeadingRule:16 -->Commas</h2>
 6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)<br />
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<table class="wiki_table">
    <tr>
        <th>Comma<br />
</th>
        <th>Value (cents)<br />
</th>
        <th>Name<br />
</th>
        <th>Second Name<br />
</th>
        <th>Val<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">256/243<br />
</td>
        <td style="text-align: right;">90.22<br />
</td>
        <td>Limma<br />
</td>
        <td>Pythagorean Minor 2nd<br />
</td>
        <td>| 8 -5 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">128/125<br />
</td>
        <td style="text-align: right;">41.06<br />
</td>
        <td>Diesis<br />
</td>
        <td>Augmented Comma<br />
</td>
        <td>| 7 0 -3 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3125/3072<br />
</td>
        <td style="text-align: right;">29.61<br />
</td>
        <td>Small Diesis<br />
</td>
        <td>Magic Comma<br />
</td>
        <td>| -10 -1 5 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">393216/390625<br />
</td>
        <td style="text-align: right;">11.45<br />
</td>
        <td>Wuerschmidt Comma<br />
</td>
        <td><br />
</td>
        <td>| 17 1 -8 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2783927/2773137<br />
</td>
        <td style="text-align: right;">6.72<br />
</td>
        <td>Mutt Comma<br />
</td>
        <td><br />
</td>
        <td>| -44 -3 21 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">49/48<br />
</td>
        <td style="text-align: right;">35.70<br />
</td>
        <td>Slendro Diesis<br />
</td>
        <td><br />
</td>
        <td>| -4 -1 2 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">50/49<br />
</td>
        <td style="text-align: right;">34.98<br />
</td>
        <td>Tritonic Diesis<br />
</td>
        <td>Jubilisma<br />
</td>
        <td>| 1 2 -2 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3136/3125<br />
</td>
        <td style="text-align: right;">6.08<br />
</td>
        <td>Hemimean<br />
</td>
        <td><br />
</td>
        <td>| 6 -5 2 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6144/6125<br />
</td>
        <td style="text-align: right;">5.36<br />
</td>
        <td>Porwell<br />
</td>
        <td><br />
</td>
        <td>| 11 1 -3 -2 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2401/2400<br />
</td>
        <td style="text-align: right;">0.72<br />
</td>
        <td>Breedsma<br />
</td>
        <td><br />
</td>
        <td>| -5 -1 -2 4 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">121/120<br />
</td>
        <td style="text-align: right;">14.37<br />
</td>
        <td>Biyatisma<br />
</td>
        <td><br />
</td>
        <td>| -3 -1 -1 2 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">176/175<br />
</td>
        <td style="text-align: right;">9.86<br />
</td>
        <td>Valinorsma<br />
</td>
        <td><br />
</td>
        <td>| 4 -2 -1 1 &gt;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">385/384<br />
</td>
        <td style="text-align: right;">4.50<br />
</td>
        <td>Keenanisma<br />
</td>
        <td><br />
</td>
        <td>| -7 -1 1 1 1 &gt;<br />
</td>
    </tr>
</table>

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