6edo: Difference between revisions

Revision as of 07:14, 4 December 2016

IMPORTED REVISION FROM WIKISPACES

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This revision was by author JosephRuhf and made on 2016-12-04 07:14:57 UTC.

The original revision id was 601322352.

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:

<span style="display: block; text-align: right;">[[6 平均律|日本語]]
</span>
=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 EDOs== 
* Superset: [[2edo]], [[3edo]]
* Supersets: [[12edo]], [[18edo]], [[24edo]]...
* Neighbours: [[5edo]], [[7edo]]

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

==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 < [[tel:6 10 14 17 21 22|6 10 14 17 21 22]] |.)
||~ Comma ||~ Value (cents) ||~ Name ||~ Second Name ||~ Val ||
||= 32/27 ||> 294.13 || Pythagorean minor third ||   || | 5 -3 > ||
||= 128/125 ||> 41.06 || Diesis || Augmented Comma || | 7 0 -3 > ||
||= 3125/3072 ||> 29.61 || Small Diesis || Magic Comma || | -10 -1 5 > ||
||=   ||> 11.45 || Wuerschmidt Comma ||   || | 17 1 -8 > ||
||=   ||> 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><span style="display: block; text-align: right;"><a class="wiki_link" href="/6%20%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a><br />
</span><br />
<!-- 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 />
<strong>6-edo</strong> divides the 1200-<a class="wiki_link" href="/cents">cent</a> octave into 6 equal parts, making its smallest interval exactly 200¢, 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 EDOs"></a><!-- ws:end:WikiTextHeadingRule:5 -->Related EDOs</h2>
 <ul><li>Superset: <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a></li><li>Supersets: <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/18edo">18edo</a>, <a class="wiki_link" href="/24edo">24edo</a>...</li><li>Neighbours: <a class="wiki_link" href="/5edo">5edo</a>, <a class="wiki_link" href="/7edo">7edo</a></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-Music"></a><!-- ws:end:WikiTextHeadingRule:9 -->Music</h2>
 <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:11:&lt;h2&gt; --><h2 id="toc5"><a name="x6 Equal Divisions of the Octave-Commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->Commas</h2>
 6 EDO tempers out the following commas. (Note: This assumes val &lt; <a class="wiki_link" href="http://tel.wikispaces.com/6%2010%2014%2017%2021%2022">6 10 14 17 21 22</a> |.)<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;">32/27<br />
</td>
        <td style="text-align: right;">294.13<br />
</td>
        <td>Pythagorean minor third<br />
</td>
        <td><br />
</td>
        <td>| 5 -3 &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;"><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;"><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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@@ 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:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-29 12:15:01 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-04 07:14:57 UTC</tt>.<br>
-: The original revision id was <tt>590343118</tt>.<br>
+: The original revision id was <tt>601322352</tt>.<br>
-: The revision comment was: <tt>6edo's circle of fifths fails to close by 32/27, not 256/243</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>
 <h4>Original Wikitext content:</h4>
@@ Line 26: / Line 26: @@
 ==Commas==
-EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)
+EDO tempers out the following commas. (Note: This assumes val &lt; [[tel:6 10 14 17 21 22|6 10 14 17 21 22]] |.)
 ||~ Comma ||~ Value (cents) ||~ Name ||~ Second Name ||~ Val ||
 ||= 32/27 ||&gt; 294.13 || Pythagorean minor third ||   || | 5 -3 &gt; ||
 ||= 128/125 ||&gt; 41.06 || Diesis || Augmented Comma || | 7 0 -3 &gt; ||
 ||= 3125/3072 ||&gt; 29.61 || Small Diesis || Magic Comma || | -10 -1 5 &gt; ||
-||= 393216/390625 ||&gt; 11.45 || Wuerschmidt Comma ||   || | 17 1 -8 &gt; ||
+||=   ||&gt; 11.45 || Wuerschmidt Comma ||   || | 17 1 -8 &gt; ||
-||= 2783927/2773137 ||&gt; 6.72 || Mutt Comma ||   || | -44 -3 21 &gt; ||
+||=   ||&gt; 6.72 || Mutt Comma ||   || | -44 -3 21 &gt; ||
 ||= 49/48 ||&gt; 35.70 || Slendro Diesis ||   || | -4 -1 0 2 &gt; ||
 ||= 50/49 ||&gt; 34.98 || Tritonic Diesis || Jubilisma || | 1 0 2 -2 &gt; ||
@@ Line 60: / Line 60: @@
 &lt;br /&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-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Commas&lt;/h2&gt;
-EDO tempers out the following commas. (Note: This assumes val &amp;lt; 6 10 14 17 21 22 |.)&lt;br /&gt;
+EDO tempers out the following commas. (Note: This assumes val &amp;lt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/6%2010%2014%2017%2021%2022"&gt;6 10 14 17 21 22&lt;/a&gt; |.)&lt;br /&gt;
@@ Line 113: / Line 113: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;393216/390625&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;11.45&lt;br /&gt;
@@ Line 125: / Line 125: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;2783927/2773137&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;6.72&lt;br /&gt;

6edo: Difference between revisions

Revision as of 07:14, 4 December 2016

IMPORTED REVISION FROM WIKISPACES

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