24edo: Difference between revisions
Wikispaces>jdfreivald **Imported revision 233345280 - Original comment: Added comma table.** |
Wikispaces>jdfreivald **Imported revision 233345478 - 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: | : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 22:05:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233345478</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> | ||
Line 26: | Line 26: | ||
24 EDO tempers out the following commas. (Note: This assumes val < 24 38 56 67 83 89 |.) | 24 EDO tempers out the following commas. (Note: This assumes val < 24 38 56 67 83 89 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
|| 531441/524288 || | -19 12 > || 23.46 || Pythagorean Comma || || || | ||= 531441/524288 || | -19 12 > ||> 23.46 ||= Pythagorean Comma ||= || || | ||
|| 648/625 || | 3 4 -4 > || 62.57 || Major Diesis || Diminished Comma || || | ||= 648/625 || | 3 4 -4 > ||> 62.57 ||= Major Diesis ||= Diminished Comma || || | ||
|| 128/125 || | 7 0 -3 > || 41.06 || Diesis || Augmented Comma || || | ||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma || || | ||
|| 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 || | ||
|| 2048/2025 || | 11 -4 -2 > || 19.55 || Diaschisma || || || | ||= 2048/2025 || | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||= || || | ||
|| 5201701/5149091 || | 26 -12 -3 > || 17.60 || Misty Comma || || || | ||= 5201701/5149091 || | 26 -12 -3 > ||> 17.60 ||= Misty Comma ||= || || | ||
|| 32805/32768 || | -15 8 1 > || 1.95 || Schisma || || || | ||= 32805/32768 || | -15 8 1 > ||> 1.95 ||= Schisma ||= || || | ||
|| 1465155/1465142 || | 161 -84 -12 > || 0.02 || Atom || || || | ||= 1465155/1465142 || | 161 -84 -12 > ||> 0.02 ||= Atom ||= || || | ||
|| 49/48 || | -4 -1 0 2 > || 35.70 || Slendro Diesis || || || | ||= 49/48 || | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= || || | ||
|| 245/243 || | 0 -5 1 2 > || 14.19 || Sensamagic || || || | ||= 245/243 || | 0 -5 1 2 > ||> 14.19 ||= Sensamagic ||= || || | ||
|| 19683/19600 || | -4 9 -2 -2 > || 7.32 || Cataharry || || || | ||= 19683/19600 || | -4 9 -2 -2 > ||> 7.32 ||= Cataharry ||= || || | ||
|| 6144/6125 || | 11 1 -3 -2 > || 5.36 || Porwell || || || | ||= 6144/6125 || | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||= || || | ||
|| 121/120 || | -3 -1 -1 0 2 > || 14.37 || Biyatisma || || || | ||= 121/120 || | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= || || | ||
|| 176/175 || | 4 0 -2 -1 1 > || 9.86 || Valinorsma || || || | ||= 176/175 || | 4 0 -2 -1 1 > ||> 9.86 ||= Valinorsma ||= || || | ||
|| 896/891 || | 7 -4 0 1 -1 > || 9.69 || Pentacircle || || || | ||= 896/891 || | 7 -4 0 1 -1 > ||> 9.69 ||= Pentacircle ||= || || | ||
|| 243/242 || | -1 5 0 0 -2 > || 7.14 || Rastma || || || | ||= 243/242 || | -1 5 0 0 -2 > ||> 7.14 ||= Rastma ||= || || | ||
|| 385/384 || | -7 -1 1 1 1 > || 4.50 || Keenanisma || || || | ||= 385/384 || | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= || || | ||
|| 9801/9800 || | -3 4 -2 -2 2 > || 0.18 || Kalisma || Gauss' Comma || || | ||= 9801/9800 || | -3 4 -2 -2 2 > ||> 0.18 ||= Kalisma ||= Gauss' Comma || || | ||
|| 91/90 || | -1 -2 -1 1 0 1 > || 19.13 || Superleap || || || | ||= 91/90 || | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= || || | ||
|| 676/675 || | 2 -3 -2 0 0 2 > || 2.56 || Parizeksma || || || | ||= 676/675 || | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= || || | ||
=Intervals= | =Intervals= | ||
The twelve new intervals in quartertones are: | The twelve new intervals in quartertones are: | ||
Line 293: | Line 293: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>531441/524288<br /> | <td style="text-align: center;">531441/524288<br /> | ||
</td> | </td> | ||
<td>| -19 12 &gt;<br /> | <td>| -19 12 &gt;<br /> | ||
</td> | </td> | ||
<td>23.46<br /> | <td style="text-align: right;">23.46<br /> | ||
</td> | </td> | ||
<td>Pythagorean Comma<br /> | <td style="text-align: center;">Pythagorean Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 307: | Line 307: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>648/625<br /> | <td style="text-align: center;">648/625<br /> | ||
</td> | </td> | ||
<td>| 3 4 -4 &gt;<br /> | <td>| 3 4 -4 &gt;<br /> | ||
</td> | </td> | ||
<td>62.57<br /> | <td style="text-align: right;">62.57<br /> | ||
</td> | </td> | ||
<td>Major Diesis<br /> | <td style="text-align: center;">Major Diesis<br /> | ||
</td> | </td> | ||
<td>Diminished Comma<br /> | <td style="text-align: center;">Diminished Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 321: | Line 321: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>128/125<br /> | <td style="text-align: center;">128/125<br /> | ||
</td> | </td> | ||
<td>| 7 0 -3 &gt;<br /> | <td>| 7 0 -3 &gt;<br /> | ||
</td> | </td> | ||
<td>41.06<br /> | <td style="text-align: right;">41.06<br /> | ||
</td> | </td> | ||
<td>Diesis<br /> | <td style="text-align: center;">Diesis<br /> | ||
</td> | </td> | ||
<td>Augmented Comma<br /> | <td style="text-align: center;">Augmented Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 335: | Line 335: | ||
</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>| -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>Meantone Comma<br /> | ||
Line 349: | Line 349: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2048/2025<br /> | <td style="text-align: center;">2048/2025<br /> | ||
</td> | </td> | ||
<td>| 11 -4 -2 &gt;<br /> | <td>| 11 -4 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>19.55<br /> | <td style="text-align: right;">19.55<br /> | ||
</td> | </td> | ||
<td>Diaschisma<br /> | <td style="text-align: center;">Diaschisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 363: | Line 363: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5201701/5149091<br /> | <td style="text-align: center;">5201701/5149091<br /> | ||
</td> | </td> | ||
<td>| 26 -12 -3 &gt;<br /> | <td>| 26 -12 -3 &gt;<br /> | ||
</td> | </td> | ||
<td>17.60<br /> | <td style="text-align: right;">17.60<br /> | ||
</td> | </td> | ||
<td>Misty Comma<br /> | <td style="text-align: center;">Misty Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 377: | Line 377: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>32805/32768<br /> | <td style="text-align: center;">32805/32768<br /> | ||
</td> | </td> | ||
<td>| -15 8 1 &gt;<br /> | <td>| -15 8 1 &gt;<br /> | ||
</td> | </td> | ||
<td>1.95<br /> | <td style="text-align: right;">1.95<br /> | ||
</td> | </td> | ||
<td>Schisma<br /> | <td style="text-align: center;">Schisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 391: | Line 391: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1465155/1465142<br /> | <td style="text-align: center;">1465155/1465142<br /> | ||
</td> | </td> | ||
<td>| 161 -84 -12 &gt;<br /> | <td>| 161 -84 -12 &gt;<br /> | ||
</td> | </td> | ||
<td>0.02<br /> | <td style="text-align: right;">0.02<br /> | ||
</td> | </td> | ||
<td>Atom<br /> | <td style="text-align: center;">Atom<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 405: | Line 405: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>49/48<br /> | <td style="text-align: center;">49/48<br /> | ||
</td> | </td> | ||
<td>| -4 -1 0 2 &gt;<br /> | <td>| -4 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td>35.70<br /> | <td style="text-align: right;">35.70<br /> | ||
</td> | </td> | ||
<td>Slendro Diesis<br /> | <td style="text-align: center;">Slendro Diesis<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 419: | Line 419: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>245/243<br /> | <td style="text-align: center;">245/243<br /> | ||
</td> | </td> | ||
<td>| 0 -5 1 2 &gt;<br /> | <td>| 0 -5 1 2 &gt;<br /> | ||
</td> | </td> | ||
<td>14.19<br /> | <td style="text-align: right;">14.19<br /> | ||
</td> | </td> | ||
<td>Sensamagic<br /> | <td style="text-align: center;">Sensamagic<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 433: | Line 433: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>19683/19600<br /> | <td style="text-align: center;">19683/19600<br /> | ||
</td> | </td> | ||
<td>| -4 9 -2 -2 &gt;<br /> | <td>| -4 9 -2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>7.32<br /> | <td style="text-align: right;">7.32<br /> | ||
</td> | </td> | ||
<td>Cataharry<br /> | <td style="text-align: center;">Cataharry<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 447: | Line 447: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>6144/6125<br /> | <td style="text-align: center;">6144/6125<br /> | ||
</td> | </td> | ||
<td>| 11 1 -3 -2 &gt;<br /> | <td>| 11 1 -3 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>5.36<br /> | <td style="text-align: right;">5.36<br /> | ||
</td> | </td> | ||
<td>Porwell<br /> | <td style="text-align: center;">Porwell<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 461: | Line 461: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>121/120<br /> | <td style="text-align: center;">121/120<br /> | ||
</td> | </td> | ||
<td>| -3 -1 -1 0 2 &gt;<br /> | <td>| -3 -1 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td>14.37<br /> | <td style="text-align: right;">14.37<br /> | ||
</td> | </td> | ||
<td>Biyatisma<br /> | <td style="text-align: center;">Biyatisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 475: | Line 475: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>176/175<br /> | <td style="text-align: center;">176/175<br /> | ||
</td> | </td> | ||
<td>| 4 0 -2 -1 1 &gt;<br /> | <td>| 4 0 -2 -1 1 &gt;<br /> | ||
</td> | </td> | ||
<td>9.86<br /> | <td style="text-align: right;">9.86<br /> | ||
</td> | </td> | ||
<td>Valinorsma<br /> | <td style="text-align: center;">Valinorsma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 489: | Line 489: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>896/891<br /> | <td style="text-align: center;">896/891<br /> | ||
</td> | </td> | ||
<td>| 7 -4 0 1 -1 &gt;<br /> | <td>| 7 -4 0 1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>9.69<br /> | <td style="text-align: right;">9.69<br /> | ||
</td> | </td> | ||
<td>Pentacircle<br /> | <td style="text-align: center;">Pentacircle<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 503: | Line 503: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>243/242<br /> | <td style="text-align: center;">243/242<br /> | ||
</td> | </td> | ||
<td>| -1 5 0 0 -2 &gt;<br /> | <td>| -1 5 0 0 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>7.14<br /> | <td style="text-align: right;">7.14<br /> | ||
</td> | </td> | ||
<td>Rastma<br /> | <td style="text-align: center;">Rastma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 517: | Line 517: | ||
</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>| -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><br /> | ||
Line 531: | Line 531: | ||
</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>| -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><br /> | ||
Line 545: | Line 545: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>91/90<br /> | <td style="text-align: center;">91/90<br /> | ||
</td> | </td> | ||
<td>| -1 -2 -1 1 0 1 &gt;<br /> | <td>| -1 -2 -1 1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td>19.13<br /> | <td style="text-align: right;">19.13<br /> | ||
</td> | </td> | ||
<td>Superleap<br /> | <td style="text-align: center;">Superleap<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 559: | Line 559: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>676/675<br /> | <td style="text-align: center;">676/675<br /> | ||
</td> | </td> | ||
<td>| 2 -3 -2 0 0 2 &gt;<br /> | <td>| 2 -3 -2 0 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td>2.56<br /> | <td style="text-align: right;">2.56<br /> | ||
</td> | </td> | ||
<td>Parizeksma<br /> | <td style="text-align: center;">Parizeksma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> |