26edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 574939523 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 575166525 - 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:xenwolf|xenwolf]] and made on <tt>2016-02- | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-18 10:27:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>575166525</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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==Selected just intervals by error== | ==Selected just intervals by error== | ||
The following table contains some just intervals (and its octave-complement) intervals ordered by ascending absolute error. | The following table contains some just intervals (and its octave-complement) intervals ordered by ascending absolute error. | ||
|| Interval, complement || Error ( | || **Interval, complement** || **Error (abs., in [[cent|cents]])** || | ||
|| 13/12, 24/13 || 0.111 || | ||= [[13_12|13/12]], [[24_13|24/13]] ||= 0.111 || | ||
|| 7/4 | ||= [[8_7|8/7]], [[7_4|7/4]] ||= 0.405 || | ||
|| 11/7 | ||= [[14_11|14/11]], [[11_7|11/7]] ||= 2.123 || | ||
|| 9/5 | ||= [[10_9|10/9]], [[9_5|9/5]] ||= 2.212 || | ||
|| 11/8, 16/11 || 2.528 || | ||= [[11_8|11/8]], [[16_11|16/11]] ||= 2.528 || | ||
|| 13/10, 20/13 || 7.325 || | ||= [[13_10|13/10]], [[20_13|20/13]] ||= 7.325 || | ||
|| 5/3 | ||= [[6_5|6/5]], [[5_3|5/3]] ||= 7.436 || | ||
|| 13/9 | ||= [[18_13|18/13]], [[13_9|13/9]] ||= 9.536 || | ||
|| 3/2 | ||= [[4_3|4/3]], [[3_2|3/2]] ||= 9.647 || | ||
|| 13/8 | ||= [[16_13|16/13]], [[13_8|13/8]] ||= 9.758 || | ||
|| 7/6, 12/7 || 10.052 || | ||= [[7_6|7/6]], [[12_7|12/7]] ||= 10.052 || | ||
|| 13/7 | ||= [[14_13|14/13]], [[13_7|13/7]] ||= 10.163 || | ||
|| 11/6 | ||= [[12_11|12/11]], [[11_6|11/6]] ||= 12.176 || | ||
|| 13/11, 22/13 || 12.287 || | ||= [[13_11|13/11]], [[22_13|22/13]] ||= 12.287 || | ||
|| 15/11, 22/15 || 16.895 || | ||= [[15_11|15/11]], [[22_15|22/15]] ||= 16.895 || | ||
|| 15/13, 26/15 || 16.972 || | ||= [[15_13|15/13]], [[26_15|26/15]] ||= 16.972 || | ||
|| 5/4, 8/5 || 17.083 || | ||= [[5_4|5/4]], [[8_5|8/5]] ||= 17.083 || | ||
|| 7/5, 10/7 || 17.488 || | ||= [[7_5|7/5]], [[10_7|10/7]] ||= 17.488 || | ||
|| 15/14, 28/15 || 19.019 || | ||= [[15_14|15/14]], [[28_15|28/15]] ||= 19.019 || | ||
|| 9/8, 16/9 || 19.295 || | ||= [[9_8|9/8]], [[16_9|16/9]] ||= 19.295 || | ||
|| 16/15, 15/8 || 19.424 || | ||= [[16_15|16/15]], [[15_8|15/8]] ||= 19.424 || | ||
|| 11/10, 20/11 || 19.611 || | ||= [[11_10|11/10]], [[20_11|20/11]] ||= 19.611 || | ||
|| 9/7, 14/9 || 19.699 || | ||= [[9_7|9/7]], [[14_9|14/9]] ||= 19.699 || | ||
|| 11/9, 18/11 || 21.823 || | ||= [[11_9|11/9]], [[18_11|18/11]] ||= 21.823 || | ||
=Rank two temperaments= | =Rank two temperaments= | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td>Interval, complement<br /> | <td><strong>Interval, complement</strong><br /> | ||
</td> | </td> | ||
<td>Error ( | <td><strong>Error (abs., in <a class="wiki_link" href="/cent">cents</a>)</strong><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/12, 24/13<br /> | <td style="text-align: center;"><a class="wiki_link" href="/13_12">13/12</a>, <a class="wiki_link" href="/24_13">24/13</a><br /> | ||
</td> | </td> | ||
<td>0.111<br /> | <td style="text-align: center;">0.111<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7/ | <td style="text-align: center;"><a class="wiki_link" href="/8_7">8/7</a>, <a class="wiki_link" href="/7_4">7/4</a><br /> | ||
</td> | </td> | ||
<td>0.405<br /> | <td style="text-align: center;">0.405<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/ | <td style="text-align: center;"><a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/11_7">11/7</a><br /> | ||
</td> | </td> | ||
<td>2.123<br /> | <td style="text-align: center;">2.123<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9/ | <td style="text-align: center;"><a class="wiki_link" href="/10_9">10/9</a>, <a class="wiki_link" href="/9_5">9/5</a><br /> | ||
</td> | </td> | ||
<td>2.212<br /> | <td style="text-align: center;">2.212<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/8, 16/11<br /> | <td style="text-align: center;"><a class="wiki_link" href="/11_8">11/8</a>, <a class="wiki_link" href="/16_11">16/11</a><br /> | ||
</td> | </td> | ||
<td>2.528<br /> | <td style="text-align: center;">2.528<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/10, 20/13<br /> | <td style="text-align: center;"><a class="wiki_link" href="/13_10">13/10</a>, <a class="wiki_link" href="/20_13">20/13</a><br /> | ||
</td> | </td> | ||
<td>7.325<br /> | <td style="text-align: center;">7.325<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5/ | <td style="text-align: center;"><a class="wiki_link" href="/6_5">6/5</a>, <a class="wiki_link" href="/5_3">5/3</a><br /> | ||
</td> | </td> | ||
<td>7.436<br /> | <td style="text-align: center;">7.436<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/ | <td style="text-align: center;"><a class="wiki_link" href="/18_13">18/13</a>, <a class="wiki_link" href="/13_9">13/9</a><br /> | ||
</td> | </td> | ||
<td>9.536<br /> | <td style="text-align: center;">9.536<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3/ | <td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a>, <a class="wiki_link" href="/3_2">3/2</a><br /> | ||
</td> | </td> | ||
<td>9.647<br /> | <td style="text-align: center;">9.647<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/ | <td style="text-align: center;"><a class="wiki_link" href="/16_13">16/13</a>, <a class="wiki_link" href="/13_8">13/8</a><br /> | ||
</td> | </td> | ||
<td>9.758<br /> | <td style="text-align: center;">9.758<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7/6, 12/7<br /> | <td style="text-align: center;"><a class="wiki_link" href="/7_6">7/6</a>, <a class="wiki_link" href="/12_7">12/7</a><br /> | ||
</td> | </td> | ||
<td>10.052<br /> | <td style="text-align: center;">10.052<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/ | <td style="text-align: center;"><a class="wiki_link" href="/14_13">14/13</a>, <a class="wiki_link" href="/13_7">13/7</a><br /> | ||
</td> | </td> | ||
<td>10.163<br /> | <td style="text-align: center;">10.163<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/ | <td style="text-align: center;"><a class="wiki_link" href="/12_11">12/11</a>, <a class="wiki_link" href="/11_6">11/6</a><br /> | ||
</td> | </td> | ||
<td>12.176<br /> | <td style="text-align: center;">12.176<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13/11, 22/13<br /> | <td style="text-align: center;"><a class="wiki_link" href="/13_11">13/11</a>, <a class="wiki_link" href="/22_13">22/13</a><br /> | ||
</td> | </td> | ||
<td>12.287<br /> | <td style="text-align: center;">12.287<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>15/11, 22/15<br /> | <td style="text-align: center;"><a class="wiki_link" href="/15_11">15/11</a>, <a class="wiki_link" href="/22_15">22/15</a><br /> | ||
</td> | </td> | ||
<td>16.895<br /> | <td style="text-align: center;">16.895<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>15/13, 26/15<br /> | <td style="text-align: center;"><a class="wiki_link" href="/15_13">15/13</a>, <a class="wiki_link" href="/26_15">26/15</a><br /> | ||
</td> | </td> | ||
<td>16.972<br /> | <td style="text-align: center;">16.972<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5/4, 8/5<br /> | <td style="text-align: center;"><a class="wiki_link" href="/5_4">5/4</a>, <a class="wiki_link" href="/8_5">8/5</a><br /> | ||
</td> | </td> | ||
<td>17.083<br /> | <td style="text-align: center;">17.083<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7/5, 10/7<br /> | <td style="text-align: center;"><a class="wiki_link" href="/7_5">7/5</a>, <a class="wiki_link" href="/10_7">10/7</a><br /> | ||
</td> | </td> | ||
<td>17.488<br /> | <td style="text-align: center;">17.488<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>15/14, 28/15<br /> | <td style="text-align: center;"><a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/28_15">28/15</a><br /> | ||
</td> | </td> | ||
<td>19.019<br /> | <td style="text-align: center;">19.019<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9/8, 16/9<br /> | <td style="text-align: center;"><a class="wiki_link" href="/9_8">9/8</a>, <a class="wiki_link" href="/16_9">16/9</a><br /> | ||
</td> | </td> | ||
<td>19.295<br /> | <td style="text-align: center;">19.295<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>16/15, 15/8<br /> | <td style="text-align: center;"><a class="wiki_link" href="/16_15">16/15</a>, <a class="wiki_link" href="/15_8">15/8</a><br /> | ||
</td> | </td> | ||
<td>19.424<br /> | <td style="text-align: center;">19.424<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/10, 20/11<br /> | <td style="text-align: center;"><a class="wiki_link" href="/11_10">11/10</a>, <a class="wiki_link" href="/20_11">20/11</a><br /> | ||
</td> | </td> | ||
<td>19.611<br /> | <td style="text-align: center;">19.611<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9/7, 14/9<br /> | <td style="text-align: center;"><a class="wiki_link" href="/9_7">9/7</a>, <a class="wiki_link" href="/14_9">14/9</a><br /> | ||
</td> | </td> | ||
<td>19.699<br /> | <td style="text-align: center;">19.699<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11/9, 18/11<br /> | <td style="text-align: center;"><a class="wiki_link" href="/11_9">11/9</a>, <a class="wiki_link" href="/18_11">18/11</a><br /> | ||
</td> | </td> | ||
<td>21.823<br /> | <td style="text-align: center;">21.823<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||