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Wikispaces>jdfreivald **Imported revision 233283868 - Original comment: Added comma table.** |
Wikispaces>jdfreivald **Imported revision 233284252 - Original comment: ** |
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<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: | : 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> | : The original revision id was <tt>233284252</tt>.<br> | ||
: The revision comment was: <tt> | : 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 < 6 10 14 17 21 22 |.) | 6 EDO tempers out the following commas. (Note: This assumes val < 6 10 14 17 21 22 |.) | ||
|| | |||
|| Comma || Value (cents) || Name || Second Name || | ||~ Comma ||~ Value (cents) ||~ Name ||~ Second Name ||~ Val || | ||
|| 256/243 || 90.22 || Limma || Pythagorean Minor 2nd | ||= 256/243 ||> 90.22 || Limma || Pythagorean Minor 2nd || | 8 -5 > || | ||
|| 128/125 || 41.06 || Diesis || Augmented Comma | ||= 128/125 ||> 41.06 || Diesis || Augmented Comma || | 7 0 -3 > || | ||
|| 3125/3072 || 29.61 || Small Diesis || Magic Comma | ||= 3125/3072 ||> 29.61 || Small Diesis || Magic Comma || | -10 -1 5 > || | ||
|| 393216/390625 || 11.45 || Wuerschmidt Comma | ||= 393216/390625 ||> 11.45 || Wuerschmidt Comma || || | 17 1 -8 > || | ||
|| 2783927/2773137 || 6.72 || Mutt Comma | ||= 2783927/2773137 ||> 6.72 || Mutt Comma || || | -44 -3 21 > || | ||
|| 49/48 || 35.70 || Slendro Diesis | ||= 49/48 ||> 35.70 || Slendro Diesis || || | -4 -1 2 > || | ||
|| 50/49 || 34.98 || Tritonic Diesis || Jubilisma | ||= 50/49 ||> 34.98 || Tritonic Diesis || Jubilisma || | 1 2 -2 > || | ||
|| 3136/3125 || 6.08 || Hemimean | ||= 3136/3125 ||> 6.08 || Hemimean || || | 6 -5 2 > || | ||
|| 6144/6125 || 5.36 || Porwell | ||= 6144/6125 ||> 5.36 || Porwell || || | 11 1 -3 -2 > || | ||
|| 2401/2400 || 0.72 || Breedsma | ||= 2401/2400 ||> 0.72 || Breedsma || || | -5 -1 -2 4 > || | ||
|| 121/120 || 14.37 || Biyatisma | ||= 121/120 ||> 14.37 || Biyatisma || || | -3 -1 -1 2 > || | ||
|| 176/175 || 9.86 || Valinorsma | ||= 176/175 ||> 9.86 || Valinorsma || || | 4 -2 -1 1 > || | ||
|| 385/384 || 4.50 || Keenanisma | ||= 385/384 ||> 4.50 || Keenanisma || || | -7 -1 1 1 1 > ||</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"><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> | <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"><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> | ||
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6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)<br /> | 6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)<br /> | ||
<br /> | <br /> | ||
||<br /> | |||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <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> | ||
<tr> | <tr> | ||
<td>256/243<br /> | <td style="text-align: center;">256/243<br /> | ||
</td> | </td> | ||
<td>90.22<br /> | <td style="text-align: right;">90.22<br /> | ||
</td> | </td> | ||
<td>Limma<br /> | <td>Limma<br /> | ||
</td> | </td> | ||
<td>Pythagorean Minor 2nd<br /> | <td>Pythagorean Minor 2nd<br /> | ||
</td> | </td> | ||
<td>| 8 -5 &gt;<br /> | <td>| 8 -5 &gt;<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>128/125<br /> | <td style="text-align: center;">128/125<br /> | ||
</td> | </td> | ||
<td>41.06<br /> | <td style="text-align: right;">41.06<br /> | ||
</td> | </td> | ||
<td>Diesis<br /> | <td>Diesis<br /> | ||
</td> | </td> | ||
<td>Augmented Comma<br /> | <td>Augmented Comma<br /> | ||
</td> | </td> | ||
<td>| 7 0 -3 &gt;<br /> | <td>| 7 0 -3 &gt;<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3125/3072<br /> | <td style="text-align: center;">3125/3072<br /> | ||
</td> | </td> | ||
<td>29.61<br /> | <td style="text-align: right;">29.61<br /> | ||
</td> | </td> | ||
<td>Small Diesis<br /> | <td>Small Diesis<br /> | ||
</td> | </td> | ||
<td>Magic Comma<br /> | <td>Magic Comma<br /> | ||
</td> | </td> | ||
<td>| -10 -1 5 &gt;<br /> | <td>| -10 -1 5 &gt;<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>393216/390625<br /> | <td style="text-align: center;">393216/390625<br /> | ||
</td> | </td> | ||
<td>11.45<br /> | <td style="text-align: right;">11.45<br /> | ||
</td> | </td> | ||
<td>Wuerschmidt Comma<br /> | <td>Wuerschmidt Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2783927/2773137<br /> | <td style="text-align: center;">2783927/2773137<br /> | ||
</td> | </td> | ||
<td>6.72<br /> | <td style="text-align: right;">6.72<br /> | ||
</td> | </td> | ||
<td>Mutt Comma<br /> | <td>Mutt Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>49/48<br /> | <td style="text-align: center;">49/48<br /> | ||
</td> | </td> | ||
<td>35.70<br /> | <td style="text-align: right;">35.70<br /> | ||
</td> | </td> | ||
<td>Slendro Diesis<br /> | <td>Slendro Diesis<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>50/49<br /> | <td style="text-align: center;">50/49<br /> | ||
</td> | </td> | ||
<td>34.98<br /> | <td style="text-align: right;">34.98<br /> | ||
</td> | </td> | ||
<td>Tritonic Diesis<br /> | <td>Tritonic Diesis<br /> | ||
</td> | </td> | ||
<td>Jubilisma<br /> | <td>Jubilisma<br /> | ||
</td> | </td> | ||
<td>| 1 2 -2 &gt;<br /> | <td>| 1 2 -2 &gt;<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3136/3125<br /> | <td style="text-align: center;">3136/3125<br /> | ||
</td> | </td> | ||
<td>6.08<br /> | <td style="text-align: right;">6.08<br /> | ||
</td> | </td> | ||
<td>Hemimean<br /> | <td>Hemimean<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>6144/6125<br /> | <td style="text-align: center;">6144/6125<br /> | ||
</td> | </td> | ||
<td>5.36<br /> | <td style="text-align: right;">5.36<br /> | ||
</td> | </td> | ||
<td>Porwell<br /> | <td>Porwell<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2401/2400<br /> | <td style="text-align: center;">2401/2400<br /> | ||
</td> | </td> | ||
<td>0.72<br /> | <td style="text-align: right;">0.72<br /> | ||
</td> | </td> | ||
<td>Breedsma<br /> | <td>Breedsma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>121/120<br /> | <td style="text-align: center;">121/120<br /> | ||
</td> | </td> | ||
<td>14.37<br /> | <td style="text-align: right;">14.37<br /> | ||
</td> | </td> | ||
<td>Biyatisma<br /> | <td>Biyatisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>176/175<br /> | <td style="text-align: center;">176/175<br /> | ||
</td> | </td> | ||
<td>9.86<br /> | <td style="text-align: right;">9.86<br /> | ||
</td> | </td> | ||
<td>Valinorsma<br /> | <td>Valinorsma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>385/384<br /> | <td style="text-align: center;">385/384<br /> | ||
</td> | </td> | ||
<td>4.50<br /> | <td style="text-align: right;">4.50<br /> | ||
</td> | </td> | ||
<td>Keenanisma<br /> | <td>Keenanisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> |
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:<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 /> ||<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>