6edo
IMPORTED REVISION FROM WIKISPACES
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- 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:
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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:<h1> --><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:<h3> --><h3 id="toc1"><a name="x6 Equal Divisions of the Octave--"whole tone""></a><!-- ws:end:WikiTextHeadingRule:2 -->"whole tone"</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:<h2> --><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:<h2> --><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:<h2> --><h2 id="toc4"><a name="x6 Equal Divisions of the Octave-Harmony"></a><!-- ws:end:WikiTextHeadingRule:8 -->Harmony</h2>
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<br />
<!-- ws:start:WikiTextHeadingRule:10:<h2> --><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:<h3> --><h3 id="toc6"><!-- ws:end:WikiTextHeadingRule:12 --> </h3>
<!-- ws:start:WikiTextHeadingRule:14:<h3> --><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 />
<br />
<!-- ws:start:WikiTextHeadingRule:16:<h2> --><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 < 6 10 14 17 21 22 |.)<br />
<br />
||<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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><br />
</td>
</tr>
</table>
</body></html>