31edo: Difference between revisions
Wikispaces>circular **Imported revision 549189404 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 549276872 - 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: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2015-04-30 08:32:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>549276872</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> | ||
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=Intervals= | =Intervals= | ||
==Intervals by error== | ==Intervals by error== | ||
|| Interval || Error || | The following table contains some just intervals (and its octave-complement) intervals ordered by error (the intervals in parentheses have an error greater than a half step of 31edo). | ||
|| 5/4 || 0.783 || | || **Interval, oct-complement** || **Abs Error (in [[cent]]s)** || | ||
|| 11/9 || 0.979 || | || 5/4, 8/5 || 0.783 || | ||
|| 8/7 || 1.084 || | || 11/9, 18/11 || 0.979 || | ||
|| 7/5 || | || 7/4, 8/7 || 1.084 || | ||
|| 15/14 || | || 7/5, 10/5 || 1.867 || | ||
|| 7/6 || 4.097 || | || 15/14, 28/15 || 3.314 || | ||
|| 12/11 || 4.202 || | || 7/6, 12/7 || 4.097 || | ||
|| 16/15 || 4.398 || | || 12/11, 11/6 || 4.202 || | ||
|| 15/11 || 4.985 || | || 16/15, 15/8 || 4.398 || | ||
|| 4/3 || 5.181 || | || 15/11, 22/15 || 4.985 || | ||
|| 6/5 || | || 3/2, 4/3 || 5.181 || | ||
|| 14/11 || 8.298 || | || 5/3, 6/5, || 5.964 || | ||
|| 9/7 || | || 11/7, 14/11 || 8.298 || | ||
|| 11/8 || | || 9/7, 14/9 || 9.278 || | ||
|| 11/10 || | || 11/8, 16/11 || 9.382 || | ||
|| 13/10 || 10.302 || | || 11/10, 20/11 || 10.166 || | ||
|| 9/8 || | || 13/10, 20/13 || 10.302 || | ||
|| 16/13 || | || 9/8, 16/9 || 10.362 || | ||
|| 10/9 || 11.145 || | || 13/8, 16/13 || 11.085 || | ||
|| 14/13 || | || 9/5, 10/9 || 11.145 || | ||
|| 15/13 || | || 13/7, 14/13 || 12.169 || | ||
|| 13/12 || 16.266 || | || 15/13, 26/15 || 15.483 || | ||
|| 13/11 || 20.468 || | || 13/6, 13/12 || 16.266 || | ||
|| 18/13 || | || (13/11, 22/13) || (20.468) || | ||
|| (13/9, 18/13) || (21.447) || | |||
===1\31 octave - approx. 38.71¢ - Diesis=== | ===1\31 octave - approx. 38.71¢ - Diesis=== | ||
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<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h1> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Intervals-Intervals by error"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals by error</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Intervals-Intervals by error"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals by error</h2> | ||
The following table contains some just intervals (and its octave-complement) intervals ordered by error (the intervals in parentheses have an error greater than a half step of 31edo).<br /> | |||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td>Interval<br /> | <td><strong>Interval, oct-complement</strong><br /> | ||
</td> | </td> | ||
<td>Error<br /> | <td><strong>Abs Error (in <a class="wiki_link" href="/cent">cent</a>s)</strong><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5/4<br /> | <td>5/4, 8/5<br /> | ||
</td> | </td> | ||
<td>0.783<br /> | <td>0.783<br /> | ||
| Line 556: | Line 558: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/9<br /> | <td>11/9, 18/11<br /> | ||
</td> | </td> | ||
<td>0.979<br /> | <td>0.979<br /> | ||
| Line 562: | Line 564: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>8/7<br /> | <td>7/4, 8/7<br /> | ||
</td> | </td> | ||
<td>1.084<br /> | <td>1.084<br /> | ||
| Line 568: | Line 570: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7/5<br /> | <td>7/5, 10/5<br /> | ||
</td> | </td> | ||
<td> | <td>1.867<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>15/14<br /> | <td>15/14, 28/15<br /> | ||
</td> | </td> | ||
<td> | <td>3.314<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7/6<br /> | <td>7/6, 12/7<br /> | ||
</td> | </td> | ||
<td>4.097<br /> | <td>4.097<br /> | ||
| Line 586: | Line 588: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>12/11<br /> | <td>12/11, 11/6<br /> | ||
</td> | </td> | ||
<td>4.202<br /> | <td>4.202<br /> | ||
| Line 592: | Line 594: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>16/15<br /> | <td>16/15, 15/8<br /> | ||
</td> | </td> | ||
<td>4.398<br /> | <td>4.398<br /> | ||
| Line 598: | Line 600: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>15/11<br /> | <td>15/11, 22/15<br /> | ||
</td> | </td> | ||
<td>4.985<br /> | <td>4.985<br /> | ||
| Line 604: | Line 606: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4/3<br /> | <td>3/2, 4/3<br /> | ||
</td> | </td> | ||
<td>5.181<br /> | <td>5.181<br /> | ||
| Line 610: | Line 612: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>6/5<br /> | <td>5/3, 6/5,<br /> | ||
</td> | </td> | ||
<td> | <td>5.964<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>14/11<br /> | <td>11/7, 14/11<br /> | ||
</td> | </td> | ||
<td>8.298<br /> | <td>8.298<br /> | ||
| Line 622: | Line 624: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9/7<br /> | <td>9/7, 14/9<br /> | ||
</td> | </td> | ||
<td> | <td>9.278<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/8<br /> | <td>11/8, 16/11<br /> | ||
</td> | </td> | ||
<td> | <td>9.382<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/10<br /> | <td>11/10, 20/11<br /> | ||
</td> | </td> | ||
<td> | <td>10.166<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/10<br /> | <td>13/10, 20/13<br /> | ||
</td> | </td> | ||
<td>10.302<br /> | <td>10.302<br /> | ||
| Line 646: | Line 648: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9/8<br /> | <td>9/8, 16/9<br /> | ||
</td> | </td> | ||
<td> | <td>10.362<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>16/13<br /> | <td>13/8, 16/13<br /> | ||
</td> | </td> | ||
<td> | <td>11.085<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>10/9<br /> | <td>9/5, 10/9<br /> | ||
</td> | </td> | ||
<td>11.145<br /> | <td>11.145<br /> | ||
| Line 664: | Line 666: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>14/13<br /> | <td>13/7, 14/13<br /> | ||
</td> | </td> | ||
<td> | <td>12.169<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>15/13<br /> | <td>15/13, 26/15<br /> | ||
</td> | </td> | ||
<td> | <td>15.483<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/12<br /> | <td>13/6, 13/12<br /> | ||
</td> | </td> | ||
<td>16.266<br /> | <td>16.266<br /> | ||
| Line 682: | Line 684: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/11<br /> | <td>(13/11, 22/13)<br /> | ||
</td> | </td> | ||
<td>20.468<br /> | <td>(20.468)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>18/13<br /> | <td>(13/9, 18/13)<br /> | ||
</td> | </td> | ||
<td> | <td>(21.447)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||