8edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 207629400 - Original comment: ** |
Wikispaces>jdfreivald **Imported revision 233286326 - Original comment: Added comma table.** |
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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: | : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 17:30:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233286326</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>Added comma table.</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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[[@http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3|Acoustic Improvisation in 8-edo]] by Ron Sword | [[@http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3|Acoustic Improvisation in 8-edo]] by Ron Sword | ||
==See also== | ==See also== | ||
*[[Octatonic scale]] - a scale based on alternating whole and half steps</pre></div> | *[[Octatonic scale]] - a scale based on alternating whole and half steps | ||
==Commas== | |||
8 EDO tempers out the following commas. (Note: This assumes val < 8 13 19 22 28 30 |). | |||
||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 || | |||
|| 648/625 || | 3 4 -4 > || 62.57 || Major Diesis || Diminished Comma || || | |||
|| 250/243 || | 1 -5 3 > || 49.17 || Maximal Diesis || Porcupine Comma || || | |||
|| 78732/78125 || | 2 9 -7 > || 13.40 || Medium Semicomma || Sensipent Comma || || | |||
|| 64/63 || | 6 -2 0 -1 > || 27.26 || Septimal Comma || Archytas' Comma || Leipziger Komma || | |||
|| 875/864 || | -5 -3 3 1 > || 21.90 |||| Keema || || | |||
|| 321489/320000 || | -9 8 -4 2 > || 8.04 |||| Varunisma || || | |||
|| 6144/6125 || | 11 1 -3 -2 > || 5.36 |||| Porwell || || | |||
|| 100/99 || | 2 -2 2 -1 > || 17.40 |||| Ptolemisma || || | |||
|| 121/120 || | -3 -1 -1 2 > || 14.37 |||| Biyatisma || || | |||
|| 176/175 || | 4 -2 -1 1 > || 9.86 |||| Valinorsma || || | |||
|| 65536/65219 || | 16 -2 -3 > || 8.39 |||| Orgonisma || || | |||
|| 385/384 || | -7 -1 1 1 1 > || 4.50 |||| Keenanisma || || | |||
|| 4000/3993 || | 5 -1 3 -3 > || 3.03 |||| Wizardharry || ||</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>8edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x8 - Equal Divisions of the Octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->8 - 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>8edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x8 - Equal Divisions of the Octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->8 - Equal Divisions of the Octave</h1> | ||
| Line 56: | Line 74: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x8 - Equal Divisions of the Octave-See also"></a><!-- ws:end:WikiTextHeadingRule:6 -->See also</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x8 - Equal Divisions of the Octave-See also"></a><!-- ws:end:WikiTextHeadingRule:6 -->See also</h2> | ||
*<a class="wiki_link" href="/Octatonic%20scale">Octatonic scale</a> - a scale based on alternating whole and half steps</body></html></pre></div> | *<a class="wiki_link" href="/Octatonic%20scale">Octatonic scale</a> - a scale based on alternating whole and half steps<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x8 - Equal Divisions of the Octave-Commas"></a><!-- ws:end:WikiTextHeadingRule:8 -->Commas</h2> | |||
8 EDO tempers out the following commas. (Note: This assumes val &lt; 8 13 19 22 28 30 |).<br /> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>Comma<br /> | |||
</th> | |||
<th>Monzo<br /> | |||
</th> | |||
<th>Cents<br /> | |||
</th> | |||
<th>Name 1<br /> | |||
</th> | |||
<th>Name 2<br /> | |||
</th> | |||
<th>Name 3<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>648/625<br /> | |||
</td> | |||
<td>| 3 4 -4 &gt;<br /> | |||
</td> | |||
<td>62.57<br /> | |||
</td> | |||
<td>Major Diesis<br /> | |||
</td> | |||
<td>Diminished Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>250/243<br /> | |||
</td> | |||
<td>| 1 -5 3 &gt;<br /> | |||
</td> | |||
<td>49.17<br /> | |||
</td> | |||
<td>Maximal Diesis<br /> | |||
</td> | |||
<td>Porcupine Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>78732/78125<br /> | |||
</td> | |||
<td>| 2 9 -7 &gt;<br /> | |||
</td> | |||
<td>13.40<br /> | |||
</td> | |||
<td>Medium Semicomma<br /> | |||
</td> | |||
<td>Sensipent Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>64/63<br /> | |||
</td> | |||
<td>| 6 -2 0 -1 &gt;<br /> | |||
</td> | |||
<td>27.26<br /> | |||
</td> | |||
<td>Septimal Comma<br /> | |||
</td> | |||
<td>Archytas' Comma<br /> | |||
</td> | |||
<td>Leipziger Komma<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>875/864<br /> | |||
</td> | |||
<td>| -5 -3 3 1 &gt;<br /> | |||
</td> | |||
<td>21.90<br /> | |||
</td> | |||
<td colspan="2">Keema<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>321489/320000<br /> | |||
</td> | |||
<td>| -9 8 -4 2 &gt;<br /> | |||
</td> | |||
<td>8.04<br /> | |||
</td> | |||
<td colspan="2">Varunisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6144/6125<br /> | |||
</td> | |||
<td>| 11 1 -3 -2 &gt;<br /> | |||
</td> | |||
<td>5.36<br /> | |||
</td> | |||
<td colspan="2">Porwell<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>100/99<br /> | |||
</td> | |||
<td>| 2 -2 2 -1 &gt;<br /> | |||
</td> | |||
<td>17.40<br /> | |||
</td> | |||
<td colspan="2">Ptolemisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>121/120<br /> | |||
</td> | |||
<td>| -3 -1 -1 2 &gt;<br /> | |||
</td> | |||
<td>14.37<br /> | |||
</td> | |||
<td colspan="2">Biyatisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>176/175<br /> | |||
</td> | |||
<td>| 4 -2 -1 1 &gt;<br /> | |||
</td> | |||
<td>9.86<br /> | |||
</td> | |||
<td colspan="2">Valinorsma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>65536/65219<br /> | |||
</td> | |||
<td>| 16 -2 -3 &gt;<br /> | |||
</td> | |||
<td>8.39<br /> | |||
</td> | |||
<td colspan="2">Orgonisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>385/384<br /> | |||
</td> | |||
<td>| -7 -1 1 1 1 &gt;<br /> | |||
</td> | |||
<td>4.50<br /> | |||
</td> | |||
<td colspan="2">Keenanisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4000/3993<br /> | |||
</td> | |||
<td>| 5 -1 3 -3 &gt;<br /> | |||
</td> | |||
<td>3.03<br /> | |||
</td> | |||
<td colspan="2">Wizardharry<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
</body></html></pre></div> | |||