26edo: Difference between revisions
Wikispaces>jdfreivald **Imported revision 233348666 - Original comment: Added comma table.** |
Wikispaces>jdfreivald **Imported revision 233348796 - 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:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 22:21: | : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 22:21:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233348796</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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26 EDO tempers out the following commas. (Note: This assumes the val < 26 41 60 73 90 96 |.) | 26 EDO tempers out the following commas. (Note: This assumes the val < 26 41 60 73 90 96 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
|| 81/80 || | -4 4 -1 > || 21.51 || Syntonic Comma || Didymos Comma || Meantone Comma || | ||= 81/80 ||< | -4 4 -1 > ||> 21.51 ||= Syntonic Comma ||= Didymos Comma ||= Meantone Comma || | ||
|| 5696703/5695946 || | -17 62 -35 > || 0.23 || Senior || || || | ||= 5696703/5695946 ||< | -17 62 -35 > ||> 0.23 ||= Senior ||= ||= || | ||
|| 525/512 || | -9 1 2 1 > || 43.41 || Avicennma || Avicenna's Enharmonic Diesis || || | ||= 525/512 ||< | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||= || | ||
|| 50/49 || | 1 0 2 -2 > || 34.98 || Tritonic Diesis || Jubilisma || || | ||= 50/49 ||< | 1 0 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma ||= || | ||
|| 875/864 || | -5 -3 3 1 > || 21.90 || Keema || || || | ||= 875/864 ||< | -5 -3 3 1 > ||> 21.90 ||= Keema ||= ||= || | ||
|| 4000/3969 || | 5 -4 3 -2 > || 13.47 || Octagar || || || | ||= 4000/3969 ||< | 5 -4 3 -2 > ||> 13.47 ||= Octagar ||= ||= || | ||
|| 1728/1715 || | 6 3 -1 -3 > || 13.07 || Orwellisma || Orwell Comma || || | ||= 1728/1715 ||< | 6 3 -1 -3 > ||> 13.07 ||= Orwellisma ||= Orwell Comma ||= || | ||
|| 1029/1024 || | -10 1 0 3 > || 8.43 || Gamelisma || || || | ||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||
|| 321489/320000 || | -9 8 -4 2 > || 8.04 || Varunisma || || || | ||= 321489/320000 ||< | -9 8 -4 2 > ||> 8.04 ||= Varunisma ||= ||= || | ||
|| 1065875/1063543 || | -26 -1 1 9 > || 3.79 || Wadisma || || || | ||= 1065875/1063543 ||< | -26 -1 1 9 > ||> 3.79 ||= Wadisma ||= ||= || | ||
|| 4375/4374 || | -1 -7 4 1 > || 0.40 || Ragisma || || || | ||= 4375/4374 ||< | -1 -7 4 1 > ||> 0.40 ||= Ragisma ||= ||= || | ||
|| 99/98 || | -1 2 0 -2 1 > || 17.58 || Mothwellsma || || || | ||= 99/98 ||< | -1 2 0 -2 1 > ||> 17.58 ||= Mothwellsma ||= ||= || | ||
|| 100/99 || | 2 -2 2 0 -1 > || 17.40 || Ptolemisma || || || | ||= 100/99 ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||= ||= || | ||
|| 65536/65219 || | 16 0 0 -2 -3 > || 8.39 || Orgonisma || || || | ||= 65536/65219 ||< | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||= ||= || | ||
|| 385/384 || | -7 -1 1 1 1 > || 4.50 || Keenanisma || || || | ||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= ||= || | ||
|| 441/440 || | -3 2 -1 2 -1 > || 3.93 || Werckisma || || || | ||= 441/440 ||< | -3 2 -1 2 -1 > ||> 3.93 ||= Werckisma ||= ||= || | ||
|| 3025/3024 || | -4 -3 2 -1 2 > || 0.57 || Lehmerisma || || || | ||= 3025/3024 ||< | -4 -3 2 -1 2 > ||> 0.57 ||= Lehmerisma ||= ||= || | ||
|| 9801/9800 || | -3 4 -2 -2 2 > || 0.18 || Kalisma || Gauss' Comma || || | ||= 9801/9800 ||< | -3 4 -2 -2 2 > ||> 0.18 ||= Kalisma ||= Gauss' Comma ||= || | ||
=Orgone Temperament= | =Orgone Temperament= | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>81/80<br /> | <td style="text-align: center;">81/80<br /> | ||
</td> | </td> | ||
<td>| -4 4 -1 &gt;<br /> | <td style="text-align: left;">| -4 4 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>21.51<br /> | <td style="text-align: right;">21.51<br /> | ||
</td> | </td> | ||
<td>Syntonic Comma<br /> | <td style="text-align: center;">Syntonic Comma<br /> | ||
</td> | </td> | ||
<td>Didymos Comma<br /> | <td style="text-align: center;">Didymos Comma<br /> | ||
</td> | </td> | ||
<td>Meantone Comma<br /> | <td style="text-align: center;">Meantone Comma<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5696703/5695946<br /> | <td style="text-align: center;">5696703/5695946<br /> | ||
</td> | </td> | ||
<td>| -17 62 -35 &gt;<br /> | <td style="text-align: left;">| -17 62 -35 &gt;<br /> | ||
</td> | </td> | ||
<td>0.23<br /> | <td style="text-align: right;">0.23<br /> | ||
</td> | </td> | ||
<td>Senior<br /> | <td style="text-align: center;">Senior<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>525/512<br /> | <td style="text-align: center;">525/512<br /> | ||
</td> | </td> | ||
<td>| -9 1 2 1 &gt;<br /> | <td style="text-align: left;">| -9 1 2 1 &gt;<br /> | ||
</td> | </td> | ||
<td>43.41<br /> | <td style="text-align: right;">43.41<br /> | ||
</td> | </td> | ||
<td>Avicennma<br /> | <td style="text-align: center;">Avicennma<br /> | ||
</td> | </td> | ||
<td>Avicenna's Enharmonic Diesis<br /> | <td style="text-align: center;">Avicenna's Enharmonic Diesis<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>50/49<br /> | <td style="text-align: center;">50/49<br /> | ||
</td> | </td> | ||
<td>| 1 0 2 -2 &gt;<br /> | <td style="text-align: left;">| 1 0 2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>34.98<br /> | <td style="text-align: right;">34.98<br /> | ||
</td> | </td> | ||
<td>Tritonic Diesis<br /> | <td style="text-align: center;">Tritonic Diesis<br /> | ||
</td> | </td> | ||
<td>Jubilisma<br /> | <td style="text-align: center;">Jubilisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>875/864<br /> | <td style="text-align: center;">875/864<br /> | ||
</td> | </td> | ||
<td>| -5 -3 3 1 &gt;<br /> | <td style="text-align: left;">| -5 -3 3 1 &gt;<br /> | ||
</td> | </td> | ||
<td>21.90<br /> | <td style="text-align: right;">21.90<br /> | ||
</td> | </td> | ||
<td>Keema<br /> | <td style="text-align: center;">Keema<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4000/3969<br /> | <td style="text-align: center;">4000/3969<br /> | ||
</td> | </td> | ||
<td>| 5 -4 3 -2 &gt;<br /> | <td style="text-align: left;">| 5 -4 3 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>13.47<br /> | <td style="text-align: right;">13.47<br /> | ||
</td> | </td> | ||
<td>Octagar<br /> | <td style="text-align: center;">Octagar<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1728/1715<br /> | <td style="text-align: center;">1728/1715<br /> | ||
</td> | </td> | ||
<td>| 6 3 -1 -3 &gt;<br /> | <td style="text-align: left;">| 6 3 -1 -3 &gt;<br /> | ||
</td> | </td> | ||
<td>13.07<br /> | <td style="text-align: right;">13.07<br /> | ||
</td> | </td> | ||
<td>Orwellisma<br /> | <td style="text-align: center;">Orwellisma<br /> | ||
</td> | </td> | ||
<td>Orwell Comma<br /> | <td style="text-align: center;">Orwell Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1029/1024<br /> | <td style="text-align: center;">1029/1024<br /> | ||
</td> | </td> | ||
<td>| -10 1 0 3 &gt;<br /> | <td style="text-align: left;">| -10 1 0 3 &gt;<br /> | ||
</td> | </td> | ||
<td>8.43<br /> | <td style="text-align: right;">8.43<br /> | ||
</td> | </td> | ||
<td>Gamelisma<br /> | <td style="text-align: center;">Gamelisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>321489/320000<br /> | <td style="text-align: center;">321489/320000<br /> | ||
</td> | </td> | ||
<td>| -9 8 -4 2 &gt;<br /> | <td style="text-align: left;">| -9 8 -4 2 &gt;<br /> | ||
</td> | </td> | ||
<td>8.04<br /> | <td style="text-align: right;">8.04<br /> | ||
</td> | </td> | ||
<td>Varunisma<br /> | <td style="text-align: center;">Varunisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1065875/1063543<br /> | <td style="text-align: center;">1065875/1063543<br /> | ||
</td> | </td> | ||
<td>| -26 -1 1 9 &gt;<br /> | <td style="text-align: left;">| -26 -1 1 9 &gt;<br /> | ||
</td> | </td> | ||
<td>3.79<br /> | <td style="text-align: right;">3.79<br /> | ||
</td> | </td> | ||
<td>Wadisma<br /> | <td style="text-align: center;">Wadisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4375/4374<br /> | <td style="text-align: center;">4375/4374<br /> | ||
</td> | </td> | ||
<td>| -1 -7 4 1 &gt;<br /> | <td style="text-align: left;">| -1 -7 4 1 &gt;<br /> | ||
</td> | </td> | ||
<td>0.40<br /> | <td style="text-align: right;">0.40<br /> | ||
</td> | </td> | ||
<td>Ragisma<br /> | <td style="text-align: center;">Ragisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>99/98<br /> | <td style="text-align: center;">99/98<br /> | ||
</td> | </td> | ||
<td>| -1 2 0 -2 1 &gt;<br /> | <td style="text-align: left;">| -1 2 0 -2 1 &gt;<br /> | ||
</td> | </td> | ||
<td>17.58<br /> | <td style="text-align: right;">17.58<br /> | ||
</td> | </td> | ||
<td>Mothwellsma<br /> | <td style="text-align: center;">Mothwellsma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>100/99<br /> | <td style="text-align: center;">100/99<br /> | ||
</td> | </td> | ||
<td>| 2 -2 2 0 -1 &gt;<br /> | <td style="text-align: left;">| 2 -2 2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>17.40<br /> | <td style="text-align: right;">17.40<br /> | ||
</td> | </td> | ||
<td>Ptolemisma<br /> | <td style="text-align: center;">Ptolemisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>65536/65219<br /> | <td style="text-align: center;">65536/65219<br /> | ||
</td> | </td> | ||
<td>| 16 0 0 -2 -3 &gt;<br /> | <td style="text-align: left;">| 16 0 0 -2 -3 &gt;<br /> | ||
</td> | </td> | ||
<td>8.39<br /> | <td style="text-align: right;">8.39<br /> | ||
</td> | </td> | ||
<td>Orgonisma<br /> | <td style="text-align: center;">Orgonisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>385/384<br /> | <td style="text-align: center;">385/384<br /> | ||
</td> | </td> | ||
<td>| -7 -1 1 1 1 &gt;<br /> | <td style="text-align: left;">| -7 -1 1 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td>4.50<br /> | <td style="text-align: right;">4.50<br /> | ||
</td> | </td> | ||
<td>Keenanisma<br /> | <td style="text-align: center;">Keenanisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>441/440<br /> | <td style="text-align: center;">441/440<br /> | ||
</td> | </td> | ||
<td>| -3 2 -1 2 -1 &gt;<br /> | <td style="text-align: left;">| -3 2 -1 2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>3.93<br /> | <td style="text-align: right;">3.93<br /> | ||
</td> | </td> | ||
<td>Werckisma<br /> | <td style="text-align: center;">Werckisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3025/3024<br /> | <td style="text-align: center;">3025/3024<br /> | ||
</td> | </td> | ||
<td>| -4 -3 2 -1 2 &gt;<br /> | <td style="text-align: left;">| -4 -3 2 -1 2 &gt;<br /> | ||
</td> | </td> | ||
<td>0.57<br /> | <td style="text-align: right;">0.57<br /> | ||
</td> | </td> | ||
<td>Lehmerisma<br /> | <td style="text-align: center;">Lehmerisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9801/9800<br /> | <td style="text-align: center;">9801/9800<br /> | ||
</td> | </td> | ||
<td>| -3 4 -2 -2 2 &gt;<br /> | <td style="text-align: left;">| -3 4 -2 -2 2 &gt;<br /> | ||
</td> | </td> | ||
<td>0.18<br /> | <td style="text-align: right;">0.18<br /> | ||
</td> | </td> | ||
<td>Kalisma<br /> | <td style="text-align: center;">Kalisma<br /> | ||
</td> | </td> | ||
<td>Gauss' Comma<br /> | <td style="text-align: center;">Gauss' Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> |