15edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602810552 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 602901008 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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:xenwolf|xenwolf]] and made on <tt>2016-12-29 17:25:37 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602901008</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : 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> | ||
| Line 186: | Line 186: | ||
=Commas= | =Commas= | ||
15 EDO [[tempering out|tempers]] out the following [[comma]]s. (Note: This assumes the val < 15 24 35 42 52 56 | 15 EDO [[tempering out|tempers]] out the following [[comma]]s. (Note: This assumes the val < 15 24 35 42 52 56 |.) | ||
||~ | ||~ Rational ||~ Monzo ||~ Size (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
||= 256/243 || | ||= 256/243 || | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||= || | ||
||= 28/27 || | 2 -3 0 1 > ||> 62.96 ||= Septimal Third Tone ||= Small Septimal Chroma || || | ||= 28/27 || | 2 -3 0 1 > ||> 62.96 ||= Septimal Third Tone ||= Small Septimal Chroma || || | ||
||= 250/243 || | ||= 250/243 || | 1 -5 3 > ||> 49.17 ||= Maximal Diesis ||= Porcupine Comma ||= || | ||
||= 128/125 || | ||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma ||= || | ||
||= 15625/15552 || | ||= 15625/15552 || | -6 -5 6 > ||> 8.11 ||= Kleisma ||= Semicomma Majeur ||= || | ||
||= 1029/1000 || | ||= 1029/1000 || | -3 1 -3 3 > ||> 49.49 ||= Keega ||= ||= || | ||
||= 49/48 || | ||= 49/48 || | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= ||= || | ||
||= 64/63 || | ||= 64/63 || | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma || | ||
||= 64827/64000 || | ||= 64827/64000 || | -9 3 -3 4 > ||> 22.23 ||= Squalentine ||= ||= || | ||
||= 875/864 || | ||= 875/864 || | -5 -3 3 1 > ||> 21.90 ||= Keema ||= ||= || | ||
||= 126/125 || | ||= 126/125 || | 1 2 -3 1 > ||> 13.79 ||= Septimal Semicomma ||= Starling Comma ||= || | ||
||= 4000/3969 || | ||= 4000/3969 || | 5 -4 3 -2 > ||> 13.47 ||= Octagar ||= ||= || | ||
||= 1029/1024 || | ||= 1029/1024 || | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||
||= 6144/6125 || | ||= 6144/6125 || | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||= ||= || | ||
||= | ||= 250047/250000 || | -4 6 -6 3 > ||> 0.33 ||= Landscape Comma ||= ||= || | ||
||= 100/99 || | ||= 100/99 || | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||= ||= || | ||
||= 121/120 || | ||= 121/120 || | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= || | ||
||= 176/175 || | ||= 176/175 || | 4 0 -2 -1 1 > ||> 9.86 ||= Valinorsma ||= ||= || | ||
||= 65536/65219 || | ||= 65536/65219 || | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||= ||= || | ||
||= 385/384 || | ||= 385/384 || | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= ||= || | ||
||= 441/440 || | ||= 441/440 || | -3 2 -1 2 -1 > ||> 3.93 ||= Werckisma ||= ||= || | ||
||= 4000/3993 || | ||= 4000/3993 || | 5 -1 3 0 -3 > ||> 3.03 ||= Wizardharry ||= ||= || | ||
||= 3025/3024 || | ||= 3025/3024 || | -4 -3 2 -1 2 > ||> 0.57 ||= Lehmerisma ||= ||= || | ||
||= 91/90 || | ||= 91/90 || | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= ||= || | ||
||= 676/675 || | ||= 676/675 || | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= ||= || | ||
| Line 1,314: | Line 1,314: | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc13"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:28 -->Commas</h1> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc13"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:28 -->Commas</h1> | ||
<br /> | <br /> | ||
15 EDO <a class="wiki_link" href="/tempering%20out">tempers</a> out the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt; 15 24 35 42 52 56 | 15 EDO <a class="wiki_link" href="/tempering%20out">tempers</a> out the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt; 15 24 35 42 52 56 |.)<br /> | ||
<br /> | <br /> | ||
| Line 1,320: | Line 1,320: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<th> | <th>Rational<br /> | ||
</th> | </th> | ||
<th>Monzo<br /> | <th>Monzo<br /> | ||
</th> | </th> | ||
<th> | <th>Size (Cents)<br /> | ||
</th> | </th> | ||
<th>Name 1<br /> | <th>Name 1<br /> | ||
| Line 1,336: | Line 1,336: | ||
<td style="text-align: center;">256/243<br /> | <td style="text-align: center;">256/243<br /> | ||
</td> | </td> | ||
<td | <td>| 8 -5 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">90.22<br /> | <td style="text-align: right;">90.22<br /> | ||
| Line 1,364: | Line 1,364: | ||
<td style="text-align: center;">250/243<br /> | <td style="text-align: center;">250/243<br /> | ||
</td> | </td> | ||
<td | <td>| 1 -5 3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">49.17<br /> | <td style="text-align: right;">49.17<br /> | ||
| Line 1,378: | Line 1,378: | ||
<td style="text-align: center;">128/125<br /> | <td style="text-align: center;">128/125<br /> | ||
</td> | </td> | ||
<td | <td>| 7 0 -3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">41.06<br /> | <td style="text-align: right;">41.06<br /> | ||
| Line 1,392: | Line 1,392: | ||
<td style="text-align: center;">15625/15552<br /> | <td style="text-align: center;">15625/15552<br /> | ||
</td> | </td> | ||
<td | <td>| -6 -5 6 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">8.11<br /> | <td style="text-align: right;">8.11<br /> | ||
| Line 1,406: | Line 1,406: | ||
<td style="text-align: center;">1029/1000<br /> | <td style="text-align: center;">1029/1000<br /> | ||
</td> | </td> | ||
<td | <td>| -3 1 -3 3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">49.49<br /> | <td style="text-align: right;">49.49<br /> | ||
| Line 1,420: | Line 1,420: | ||
<td style="text-align: center;">49/48<br /> | <td style="text-align: center;">49/48<br /> | ||
</td> | </td> | ||
<td | <td>| -4 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">35.70<br /> | <td style="text-align: right;">35.70<br /> | ||
| Line 1,434: | Line 1,434: | ||
<td style="text-align: center;">64/63<br /> | <td style="text-align: center;">64/63<br /> | ||
</td> | </td> | ||
<td | <td>| 6 -2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">27.26<br /> | <td style="text-align: right;">27.26<br /> | ||
| Line 1,448: | Line 1,448: | ||
<td style="text-align: center;">64827/64000<br /> | <td style="text-align: center;">64827/64000<br /> | ||
</td> | </td> | ||
<td | <td>| -9 3 -3 4 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">22.23<br /> | <td style="text-align: right;">22.23<br /> | ||
| Line 1,462: | Line 1,462: | ||
<td style="text-align: center;">875/864<br /> | <td style="text-align: center;">875/864<br /> | ||
</td> | </td> | ||
<td | <td>| -5 -3 3 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">21.90<br /> | <td style="text-align: right;">21.90<br /> | ||
| Line 1,476: | Line 1,476: | ||
<td style="text-align: center;">126/125<br /> | <td style="text-align: center;">126/125<br /> | ||
</td> | </td> | ||
<td | <td>| 1 2 -3 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">13.79<br /> | <td style="text-align: right;">13.79<br /> | ||
| Line 1,490: | Line 1,490: | ||
<td style="text-align: center;">4000/3969<br /> | <td style="text-align: center;">4000/3969<br /> | ||
</td> | </td> | ||
<td | <td>| 5 -4 3 -2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">13.47<br /> | <td style="text-align: right;">13.47<br /> | ||
| Line 1,504: | Line 1,504: | ||
<td style="text-align: center;">1029/1024<br /> | <td style="text-align: center;">1029/1024<br /> | ||
</td> | </td> | ||
<td | <td>| -10 1 0 3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">8.43<br /> | <td style="text-align: right;">8.43<br /> | ||
| Line 1,518: | Line 1,518: | ||
<td style="text-align: center;">6144/6125<br /> | <td style="text-align: center;">6144/6125<br /> | ||
</td> | </td> | ||
<td | <td>| 11 1 -3 -2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">5.36<br /> | <td style="text-align: right;">5.36<br /> | ||
| Line 1,530: | Line 1,530: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">250047/250000<br /> | ||
</td> | </td> | ||
<td | <td>| -4 6 -6 3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">0.33<br /> | <td style="text-align: right;">0.33<br /> | ||
| Line 1,546: | Line 1,546: | ||
<td style="text-align: center;">100/99<br /> | <td style="text-align: center;">100/99<br /> | ||
</td> | </td> | ||
<td | <td>| 2 -2 2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">17.40<br /> | <td style="text-align: right;">17.40<br /> | ||
| Line 1,560: | Line 1,560: | ||
<td style="text-align: center;">121/120<br /> | <td style="text-align: center;">121/120<br /> | ||
</td> | </td> | ||
<td | <td>| -3 -1 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">14.37<br /> | <td style="text-align: right;">14.37<br /> | ||
| Line 1,574: | Line 1,574: | ||
<td style="text-align: center;">176/175<br /> | <td style="text-align: center;">176/175<br /> | ||
</td> | </td> | ||
<td | <td>| 4 0 -2 -1 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">9.86<br /> | <td style="text-align: right;">9.86<br /> | ||
| Line 1,588: | Line 1,588: | ||
<td style="text-align: center;">65536/65219<br /> | <td style="text-align: center;">65536/65219<br /> | ||
</td> | </td> | ||
<td | <td>| 16 0 0 -2 -3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">8.39<br /> | <td style="text-align: right;">8.39<br /> | ||
| Line 1,602: | Line 1,602: | ||
<td style="text-align: center;">385/384<br /> | <td style="text-align: center;">385/384<br /> | ||
</td> | </td> | ||
<td | <td>| -7 -1 1 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">4.50<br /> | <td style="text-align: right;">4.50<br /> | ||
| Line 1,616: | Line 1,616: | ||
<td style="text-align: center;">441/440<br /> | <td style="text-align: center;">441/440<br /> | ||
</td> | </td> | ||
<td | <td>| -3 2 -1 2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">3.93<br /> | <td style="text-align: right;">3.93<br /> | ||
| Line 1,630: | Line 1,630: | ||
<td style="text-align: center;">4000/3993<br /> | <td style="text-align: center;">4000/3993<br /> | ||
</td> | </td> | ||
<td | <td>| 5 -1 3 0 -3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">3.03<br /> | <td style="text-align: right;">3.03<br /> | ||
| Line 1,644: | Line 1,644: | ||
<td style="text-align: center;">3025/3024<br /> | <td style="text-align: center;">3025/3024<br /> | ||
</td> | </td> | ||
<td | <td>| -4 -3 2 -1 2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">0.57<br /> | <td style="text-align: right;">0.57<br /> | ||
| Line 1,658: | Line 1,658: | ||
<td style="text-align: center;">91/90<br /> | <td style="text-align: center;">91/90<br /> | ||
</td> | </td> | ||
<td | <td>| -1 -2 -1 1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">19.13<br /> | <td style="text-align: right;">19.13<br /> | ||
| Line 1,672: | Line 1,672: | ||
<td style="text-align: center;">676/675<br /> | <td style="text-align: center;">676/675<br /> | ||
</td> | </td> | ||
<td | <td>| 2 -3 -2 0 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">2.56<br /> | <td style="text-align: right;">2.56<br /> | ||