16edo: Difference between revisions
Wikispaces>jdfreivald **Imported revision 233317148 - Original comment: Added comma table.** |
Wikispaces>jdfreivald **Imported revision 233317420 - 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 19: | : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 19:55:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233317420</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 69: | Line 69: | ||
16 EDO tempers out the following commas. (Note: This assumes val < 16 25 37 45 55 59 |.) | 16 EDO tempers out the following commas. (Note: This assumes val < 16 25 37 45 55 59 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
|| 135/128 || | -7 3 1 > || 92.18 || Major Chroma || Major Limma || Pelogic Comma || | ||= 135/128 ||< | -7 3 1 > ||> 92.18 ||= Major Chroma ||= Major Limma ||= Pelogic Comma || | ||
|| 648/625 || | 3 4 -4 > || 62.57 || Major Diesis || Diminished Comma || || | ||= 648/625 ||< | 3 4 -4 > ||> 62.57 ||= Major Diesis ||= Diminished Comma ||= || | ||
|| 3125/3072 || | -10 -1 5 > || 29.61 || Small Diesis || Magic Comma || || | ||= 3125/3072 ||< | -10 -1 5 > ||> 29.61 ||= Small Diesis ||= Magic Comma ||= || | ||
|| 1212717/1210381 || | 23 6 -14 > || 3.34 || Vishnuzma || Semisuper || || | ||= 1212717/1210381 ||< | 23 6 -14 > ||> 3.34 ||= Vishnuzma ||= Semisuper ||= || | ||
|| 36/35 || | 2 2 -1 -1 > || 48.77 || Septimal Quarter Tone || || || | ||= 36/35 ||< | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||= ||= || | ||
|| 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 2 -2 > || 34.98 || Tritonic Diesis || Jubilisma || || | ||= 50/49 ||< | 1 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma ||= || | ||
|| 64827/64000 || | -9 3 -3 4 > || 22.23 || Squalentine || || || | ||= 64827/64000 ||< | -9 3 -3 4 > ||> 22.23 ||= Squalentine ||= ||= || | ||
|| 3125/3087 || | -2 5 -3 > || 21.18 || Gariboh || || || | ||= 3125/3087 ||< | -2 5 -3 > ||> 21.18 ||= Gariboh ||= ||= || | ||
|| 126/125 || | 1 2 -3 1 > || 13.79 || Septimal Semicomma || Starling Comma || || | ||= 126/125 ||< | 1 2 -3 1 > ||> 13.79 ||= Septimal Semicomma ||= Starling Comma ||= || | ||
|| 1029/1024 || | -10 1 0 3 > || 8.43 || Gamelisma || || || | ||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||
|| 6144/6125 || | 11 1 -3 -2 > || 5.36 || Porwell || || || | ||= 6144/6125 ||< | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||= ||= || | ||
|| 121/120 || | -3 -1 -1 2 > || 14.37 || Biyatisma || || || | ||= 121/120 ||< | -3 -1 -1 2 > ||> 14.37 ||= Biyatisma ||= ||= || | ||
|| 176/175 || | 4 -2 -1 1 > || 9.86 || Valinorsma || || || | ||= 176/175 ||< | 4 -2 -1 1 > ||> 9.86 ||= Valinorsma ||= ||= || | ||
|| 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 ||= ||= || | ||
=Hexadecaphonic Notation:= | =Hexadecaphonic Notation:= | ||
| Line 193: | Line 193: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>135/128<br /> | <td style="text-align: center;">135/128<br /> | ||
</td> | </td> | ||
<td>| -7 3 1 &gt;<br /> | <td style="text-align: left;">| -7 3 1 &gt;<br /> | ||
</td> | </td> | ||
<td>92.18<br /> | <td style="text-align: right;">92.18<br /> | ||
</td> | </td> | ||
<td>Major Chroma<br /> | <td style="text-align: center;">Major Chroma<br /> | ||
</td> | </td> | ||
<td>Major Limma<br /> | <td style="text-align: center;">Major Limma<br /> | ||
</td> | </td> | ||
<td>Pelogic Comma<br /> | <td style="text-align: center;">Pelogic Comma<br /> | ||
</td> | </td> | ||
</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 style="text-align: left;">| 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 style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3125/3072<br /> | <td style="text-align: center;">3125/3072<br /> | ||
</td> | </td> | ||
<td>| -10 -1 5 &gt;<br /> | <td style="text-align: left;">| -10 -1 5 &gt;<br /> | ||
</td> | </td> | ||
<td>29.61<br /> | <td style="text-align: right;">29.61<br /> | ||
</td> | </td> | ||
<td>Small Diesis<br /> | <td style="text-align: center;">Small Diesis<br /> | ||
</td> | </td> | ||
<td>Magic Comma<br /> | <td style="text-align: center;">Magic Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1212717/1210381<br /> | <td style="text-align: center;">1212717/1210381<br /> | ||
</td> | </td> | ||
<td>| 23 6 -14 &gt;<br /> | <td style="text-align: left;">| 23 6 -14 &gt;<br /> | ||
</td> | </td> | ||
<td>3.34<br /> | <td style="text-align: right;">3.34<br /> | ||
</td> | </td> | ||
<td>Vishnuzma<br /> | <td style="text-align: center;">Vishnuzma<br /> | ||
</td> | </td> | ||
<td>Semisuper<br /> | <td style="text-align: center;">Semisuper<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>36/35<br /> | <td style="text-align: center;">36/35<br /> | ||
</td> | </td> | ||
<td>| 2 2 -1 -1 &gt;<br /> | <td style="text-align: left;">| 2 2 -1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>48.77<br /> | <td style="text-align: right;">48.77<br /> | ||
</td> | </td> | ||
<td>Septimal Quarter Tone<br /> | <td style="text-align: center;">Septimal Quarter Tone<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 2 -2 &gt;<br /> | <td style="text-align: left;">| 1 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>64827/64000<br /> | <td style="text-align: center;">64827/64000<br /> | ||
</td> | </td> | ||
<td>| -9 3 -3 4 &gt;<br /> | <td style="text-align: left;">| -9 3 -3 4 &gt;<br /> | ||
</td> | </td> | ||
<td>22.23<br /> | <td style="text-align: right;">22.23<br /> | ||
</td> | </td> | ||
<td>Squalentine<br /> | <td style="text-align: center;">Squalentine<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>3125/3087<br /> | <td style="text-align: center;">3125/3087<br /> | ||
</td> | </td> | ||
<td>| -2 5 -3 &gt;<br /> | <td style="text-align: left;">| -2 5 -3 &gt;<br /> | ||
</td> | </td> | ||
<td>21.18<br /> | <td style="text-align: right;">21.18<br /> | ||
</td> | </td> | ||
<td>Gariboh<br /> | <td style="text-align: center;">Gariboh<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>126/125<br /> | <td style="text-align: center;">126/125<br /> | ||
</td> | </td> | ||
<td>| 1 2 -3 1 &gt;<br /> | <td style="text-align: left;">| 1 2 -3 1 &gt;<br /> | ||
</td> | </td> | ||
<td>13.79<br /> | <td style="text-align: right;">13.79<br /> | ||
</td> | </td> | ||
<td>Septimal Semicomma<br /> | <td style="text-align: center;">Septimal Semicomma<br /> | ||
</td> | </td> | ||
<td>Starling Comma<br /> | <td style="text-align: center;">Starling 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>6144/6125<br /> | <td style="text-align: center;">6144/6125<br /> | ||
</td> | </td> | ||
<td>| 11 1 -3 -2 &gt;<br /> | <td style="text-align: left;">| 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 style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>121/120<br /> | <td style="text-align: center;">121/120<br /> | ||
</td> | </td> | ||
<td>| -3 -1 -1 2 &gt;<br /> | <td style="text-align: left;">| -3 -1 -1 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 style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>176/175<br /> | <td style="text-align: center;">176/175<br /> | ||
</td> | </td> | ||
<td>| 4 -2 -1 1 &gt;<br /> | <td style="text-align: left;">| 4 -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 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> | ||