6edo: Difference between revisions

Revision as of 22:53, 21 April 2012

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This revision was by author vaisvil and made on 2012-04-21 22:53:50 UTC.

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=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 0 2 > ||
||= 50/49 ||> 34.98 || Tritonic Diesis || Jubilisma || | 1 0 2 -2 > ||
||= 3136/3125 ||> 6.08 || Hemimean ||   || | 6 0 -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 0 2 > ||
||= 176/175 ||> 9.86 || Valinorsma ||   || | 4 0 -2 -1 1 > ||
||= 385/384 ||> 4.50 || Keenanisma ||   || | -7 -1 1 1 1 > ||

[[media type="custom" key="15381610"]]

Original HTML content:

<html><head><title>6edo</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x6 Equal Divisions of the Octave"></a><!-- ws:end:WikiTextHeadingRule:1 -->6 Equal Divisions of the Octave</h1>
 <!-- ws:start:WikiTextHeadingRule:3:&lt;h3&gt; --><h3 id="toc1"><a name="x6 Equal Divisions of the Octave--&quot;whole tone&quot;"></a><!-- ws:end:WikiTextHeadingRule:3 -->&quot;whole tone&quot;</h3>
 <br />
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 />
<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="x6 Equal Divisions of the Octave-Related scales"></a><!-- ws:end:WikiTextHeadingRule:5 -->Related scales</h2>
 <ul><li>Subset of 12edo.</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="x6 Equal Divisions of the Octave-Notation"></a><!-- ws:end:WikiTextHeadingRule:7 -->Notation</h2>
 <ul><li>Notatable on a five-line staff with standard.</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="x6 Equal Divisions of the Octave-Harmony"></a><!-- ws:end:WikiTextHeadingRule:9 -->Harmony</h2>
 <br />
<br />
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="x6 Equal Divisions of the Octave-Melody"></a><!-- ws:end:WikiTextHeadingRule:11 -->Melody</h2>
 <br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:13:&lt;h3&gt; --><h3 id="toc6"><!-- ws:end:WikiTextHeadingRule:13 --> </h3>
 <!-- ws:start:WikiTextHeadingRule:15:&lt;h3&gt; --><h3 id="toc7"><a name="x6 Equal Divisions of the Octave-Melody-Music"></a><!-- ws:end:WikiTextHeadingRule:15 -->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 />
<br />
<!-- ws:start:WikiTextHeadingRule:17:&lt;h2&gt; --><h2 id="toc8"><a name="x6 Equal Divisions of the Octave-Commas"></a><!-- ws:end:WikiTextHeadingRule:17 -->Commas</h2>
 6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)<br />


<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 0 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 0 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 0 -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 0 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 0 -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>

<br />
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 <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:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 21:31:15 UTC</tt>.<br>
+: This revision was by author [[User:vaisvil|vaisvil]] and made on <tt>2012-04-21 22:53:50 UTC</tt>.<br>
-: The original revision id was <tt>233338188</tt>.<br>
+: The original revision id was <tt>323761978</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 44: / Line 44: @@
 ||= 121/120 ||&gt; 14.37 || Biyatisma ||   || | -3 -1 -1 0 2 &gt; ||
 ||= 176/175 ||&gt; 9.86 || Valinorsma ||   || | 4 0 -2 -1 1 &gt; ||
-||= 385/384 ||&gt; 4.50 || Keenanisma ||   || | -7 -1 1 1 1 &gt; ||</pre></div>
+||= 385/384 ||&gt; 4.50 || Keenanisma ||   || | -7 -1 1 1 1 &gt; ||
+[[media type="custom" key="15381610"]]</pre></div>
 <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;
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   &lt;br /&gt;
 -edo divides the 1200-&lt;a class="wiki_link" href="/cents"&gt;cent&lt;/a&gt; octave into 6 equal parts, making its smallest interval exactly &lt;a class="wiki_link" href="/200%C2%A2"&gt;200¢&lt;/a&gt;, or the sixth root of 2.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x6 Equal Divisions of the Octave-Related scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Related scales&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x6 Equal Divisions of the Octave-Related scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Related scales&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;Subset of 12edo.&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x6 Equal Divisions of the Octave-Notation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Notation&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x6 Equal Divisions of the Octave-Notation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Notation&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;Notatable on a five-line staff with standard.&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x6 Equal Divisions of the Octave-Harmony"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Harmony&lt;/h2&gt;
   &lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x6 Equal Divisions of the Octave-Melody"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Melody&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x6 Equal Divisions of the Octave-Melody"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Melody&lt;/h2&gt;
   &lt;br /&gt;
 &lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt; &lt;/h3&gt;
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-  &lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x6 Equal Divisions of the Octave-Melody-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Music&lt;/h3&gt;
+  &lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x6 Equal Divisions of the Octave-Melody-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;Music&lt;/h3&gt;
   &lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html" rel="nofollow"&gt;Dvandva&lt;/a&gt; by Milan Guštar.&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3" rel="nofollow"&gt;The Good Boundless&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
 &lt;br /&gt;
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 EDO tempers out the following commas. (Note: This assumes val &amp;lt; 6 10 14 17 21 22 |.)&lt;br /&gt;
@@ Line 242: / Line 244: @@
 &lt;/table&gt;
-&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;br /&gt;
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6edo: Difference between revisions

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