25edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 232647806 - Original comment: ** |
Wikispaces>jdfreivald **Imported revision 233346970 - 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 22:12:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233346970</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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|| 22 || 1056 || | || 22 || 1056 || | ||
|| 23 || 1104 || | || 23 || 1104 || | ||
|| 24 || 1152 ||</pre></div> | || 24 || 1152 || | ||
==Commas== | |||
25 EDO tempers out the following commas. (Note: This assumes the val < 25 40 58 70 86 93 |.) | |||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | |||
|| 256/243 || | 8 -5 > || 90.22 || Limma || Pythagorean Minor 2nd || || | |||
|| 3125/3072 || | -10 -1 5 > || 29.61 || Small Diesis || Magic Comma || || | |||
|| 6719816/6714445 || | 38 -2 -15 > || 1.38 || Hemithirds Comma || || || | |||
|| 49/48 || | -4 -1 0 2 > || 35.70 || Slendro Diesis || || || | |||
|| 64/63 || | 6 -2 0 -1 > || 27.26 || Septimal Comma || Archytas' Comma || Leipziger Komma || | |||
|| 3125/3087 || | 0 -2 5 -3 > || 21.18 || Gariboh || || || | |||
|| 50421/50000 || | -4 1 -5 5 > || 14.52 || Trimyna || || || | |||
|| 1029/1024 || | -10 1 0 3 > || 8.43 || Gamelisma || || || | |||
|| 3136/3125 || | 6 0 -5 2 > || 6.08 || Hemimean || || || | |||
|| 65625/65536 || | -16 1 5 1 > || 2.35 || Horwell || || || | |||
|| 100/99 || | 2 -2 2 0 -1 > || 17.40 || Ptolemisma || || || | |||
|| 176/175 || | 4 0 -2 -1 1 > || 9.86 || Valinorsma || || || | |||
|| 16807/16384 || | -14 0 0 5 0 0 > || 44.13 || || || || | |||
|| 91/90 || | -1 -2 -1 1 0 1 > || 19.13 || Superleap || || || | |||
|| 676/675 || | 2 -3 -2 0 0 2 > || 2.56 || Parizeksma || || ||</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>25edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x25 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #006b2e;">25 tone equal temperament</span></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>25edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x25 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #006b2e;">25 tone equal temperament</span></h1> | ||
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Some example of a keyboard in 25-EDO<br /> | Some example of a keyboard in 25-EDO<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:390:&lt;img src=&quot;/file/view/mm25.PNG/179204243/mm25.PNG&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mm25.PNG/179204243/mm25.PNG" alt="mm25.PNG" title="mm25.PNG" /><!-- ws:end:WikiTextLocalImageRule:390 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x25 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x25 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2> | ||
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</td> | </td> | ||
<td>1152<br /> | <td>1152<br /> | ||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x25 tone equal temperament-Commas"></a><!-- ws:end:WikiTextHeadingRule:4 -->Commas</h2> | |||
25 EDO tempers out the following commas. (Note: This assumes the val &lt; 25 40 58 70 86 93 |.)<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>Comma<br /> | |||
</th> | |||
<th>Monzo<br /> | |||
</th> | |||
<th>Value (Cents)<br /> | |||
</th> | |||
<th>Name 1<br /> | |||
</th> | |||
<th>Name 2<br /> | |||
</th> | |||
<th>Name 3<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>256/243<br /> | |||
</td> | |||
<td>| 8 -5 &gt;<br /> | |||
</td> | |||
<td>90.22<br /> | |||
</td> | |||
<td>Limma<br /> | |||
</td> | |||
<td>Pythagorean Minor 2nd<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3125/3072<br /> | |||
</td> | |||
<td>| -10 -1 5 &gt;<br /> | |||
</td> | |||
<td>29.61<br /> | |||
</td> | |||
<td>Small Diesis<br /> | |||
</td> | |||
<td>Magic Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6719816/6714445<br /> | |||
</td> | |||
<td>| 38 -2 -15 &gt;<br /> | |||
</td> | |||
<td>1.38<br /> | |||
</td> | |||
<td>Hemithirds Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>49/48<br /> | |||
</td> | |||
<td>| -4 -1 0 2 &gt;<br /> | |||
</td> | |||
<td>35.70<br /> | |||
</td> | |||
<td>Slendro Diesis<br /> | |||
</td> | |||
<td><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>3125/3087<br /> | |||
</td> | |||
<td>| 0 -2 5 -3 &gt;<br /> | |||
</td> | |||
<td>21.18<br /> | |||
</td> | |||
<td>Gariboh<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>50421/50000<br /> | |||
</td> | |||
<td>| -4 1 -5 5 &gt;<br /> | |||
</td> | |||
<td>14.52<br /> | |||
</td> | |||
<td>Trimyna<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1029/1024<br /> | |||
</td> | |||
<td>| -10 1 0 3 &gt;<br /> | |||
</td> | |||
<td>8.43<br /> | |||
</td> | |||
<td>Gamelisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3136/3125<br /> | |||
</td> | |||
<td>| 6 0 -5 2 &gt;<br /> | |||
</td> | |||
<td>6.08<br /> | |||
</td> | |||
<td>Hemimean<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>65625/65536<br /> | |||
</td> | |||
<td>| -16 1 5 1 &gt;<br /> | |||
</td> | |||
<td>2.35<br /> | |||
</td> | |||
<td>Horwell<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>100/99<br /> | |||
</td> | |||
<td>| 2 -2 2 0 -1 &gt;<br /> | |||
</td> | |||
<td>17.40<br /> | |||
</td> | |||
<td>Ptolemisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>176/175<br /> | |||
</td> | |||
<td>| 4 0 -2 -1 1 &gt;<br /> | |||
</td> | |||
<td>9.86<br /> | |||
</td> | |||
<td>Valinorsma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16807/16384<br /> | |||
</td> | |||
<td>| -14 0 0 5 0 0 &gt;<br /> | |||
</td> | |||
<td>44.13<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>91/90<br /> | |||
</td> | |||
<td>| -1 -2 -1 1 0 1 &gt;<br /> | |||
</td> | |||
<td>19.13<br /> | |||
</td> | |||
<td>Superleap<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>676/675<br /> | |||
</td> | |||
<td>| 2 -3 -2 0 0 2 &gt;<br /> | |||
</td> | |||
<td>2.56<br /> | |||
</td> | |||
<td>Parizeksma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||