6edo
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 17:21:02 UTC.
- The original revision id was 233283868.
- The revision comment was: Added comma table.
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 || Third 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>
<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: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>
<br />
<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>
<br />
<br />
<br />
<!-- 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 />
<table class="wiki_table">
<tr>
<td colspan="6"><br />
</td>
</tr>
<tr>
<td>Comma<br />
</td>
<td>Value (cents)<br />
</td>
<td>Name<br />
</td>
<td>Second Name<br />
</td>
<td>Third Name<br />
</td>
<td>Val<br />
</td>
</tr>
<tr>
<td>256/243<br />
</td>
<td>90.22<br />
</td>
<td>Limma<br />
</td>
<td>Pythagorean Minor 2nd<br />
</td>
<td><br />
</td>
<td>| 8 -5 ><br />
</td>
</tr>
<tr>
<td>128/125<br />
</td>
<td>41.06<br />
</td>
<td>Diesis<br />
</td>
<td>Augmented Comma<br />
</td>
<td><br />
</td>
<td>| 7 0 -3 ><br />
</td>
</tr>
<tr>
<td>3125/3072<br />
</td>
<td>29.61<br />
</td>
<td>Small Diesis<br />
</td>
<td>Magic Comma<br />
</td>
<td><br />
</td>
<td>| -10 -1 5 ><br />
</td>
</tr>
<tr>
<td>393216/390625<br />
</td>
<td>11.45<br />
</td>
<td>Wuerschmidt Comma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 17 1 -8 ><br />
</td>
</tr>
<tr>
<td>2783927/2773137<br />
</td>
<td>6.72<br />
</td>
<td>Mutt Comma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -44 -3 21 ><br />
</td>
</tr>
<tr>
<td>49/48<br />
</td>
<td>35.70<br />
</td>
<td>Slendro Diesis<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -4 -1 2 ><br />
</td>
</tr>
<tr>
<td>50/49<br />
</td>
<td>34.98<br />
</td>
<td>Tritonic Diesis<br />
</td>
<td>Jubilisma<br />
</td>
<td><br />
</td>
<td>| 1 2 -2 ><br />
</td>
</tr>
<tr>
<td>3136/3125<br />
</td>
<td>6.08<br />
</td>
<td>Hemimean<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 6 -5 2 ><br />
</td>
</tr>
<tr>
<td>6144/6125<br />
</td>
<td>5.36<br />
</td>
<td>Porwell<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 11 1 -3 -2 ><br />
</td>
</tr>
<tr>
<td>2401/2400<br />
</td>
<td>0.72<br />
</td>
<td>Breedsma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -5 -1 -2 4 ><br />
</td>
</tr>
<tr>
<td>121/120<br />
</td>
<td>14.37<br />
</td>
<td>Biyatisma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -3 -1 -1 2 ><br />
</td>
</tr>
<tr>
<td>176/175<br />
</td>
<td>9.86<br />
</td>
<td>Valinorsma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 4 -2 -1 1 ><br />
</td>
</tr>
<tr>
<td>385/384<br />
</td>
<td>4.50<br />
</td>
<td>Keenanisma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -7 -1 1 1 1 ><br />
</td>
</tr>
</table>
</body></html>