21edo: Difference between revisions
Wikispaces>jdfreivald **Imported revision 233340604 - Original comment: Added comma table.** |
Wikispaces>jdfreivald **Imported revision 233340970 - 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 21: | : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 21:44:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233340970</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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21 EDO tempers out the following commas. (Note: This assumes the val < 21 33 49 59 73 78 |.) | 21 EDO tempers out the following commas. (Note: This assumes the val < 21 33 49 59 73 78 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 || | ||
|| 2187/2048 || | -11 7 > || 113.69 || Apotome || || | ||= 2187/2048 ||< | -11 7 > ||> 113.69 ||= Apotome ||= || | ||
|| 128/125 || | 7 0 -3 > || 41.06 || Diesis || Augmented Comma || | ||= 128/125 ||< | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma || | ||
|| 9931568/9752117 || | -25 7 6 > || 31.57 || | ||= 9931568/9752117 ||< | -25 7 6 > ||> 31.57 ||= Ampersand's Comma || || | ||
|| 9193891/9143623 || | 32 -7 -9 > || 9.49 |||| | ||= 9193891/9143623 ||< | 32 -7 -9 > ||> 9.49 ||= Escapade Comma || || | ||
|| 1029/1000 || | -3 1 -3 3 > || 49.49 || Keega || || | ||= 1029/1000 ||< | -3 1 -3 3 > ||> 49.49 ||= Keega ||= || | ||
|| 36/35 || | 2 2 -1 -1 > || 48.77 || | ||= 36/35 ||< | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone || || | ||
|| 9859966/9733137 || | -10 7 8 -7 > || 22.41 || Blackjackisma || || | ||= 9859966/9733137 ||< | -10 7 8 -7 > ||> 22.41 ||= Blackjackisma ||= || | ||
|| 1029/1024 || | -10 1 0 3 > || 8.43 || Gamelisma || || | ||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= || | ||
|| 225/224 || | -5 2 2 -1 > || 7.71 || Septimal Kleisma || Marvel Comma || | ||= 225/224 ||< | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma || | ||
|| 16875/16807 || | 0 3 4 -5 > || 6.99 || Mirkwai || || | ||= 16875/16807 ||< | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||= || | ||
|| 2401/2400 || | -5 -1 -2 4 > || 0.72 || Breedsma || || | ||= 2401/2400 ||< | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||= || | ||
|| 394839/394762 || | 47 -7 -7 -7 > || 0.34 || Akjaysma || 5\7 Octave Comma || | ||= 394839/394762 ||< | 47 -7 -7 -7 > ||> 0.34 ||= Akjaysma ||= 5\7 Octave Comma || | ||
|| 99/98 || | -1 2 0 -2 1 > || 17.58 || Mothwellsma || || | ||= 99/98 ||< | -1 2 0 -2 1 > ||> 17.58 ||= Mothwellsma ||= || | ||
|| 176/175 || | 4 0 -2 -1 1 > || 9.86 || Valinorsma || || | ||= 176/175 ||< | 4 0 -2 -1 1 > ||> 9.86 ||= Valinorsma ||= || | ||
|| 4000/3993 || | 5 -1 3 0 -3 > || 3.03 || Wizardharry || || | ||= 4000/3993 ||< | 5 -1 3 0 -3 > ||> 3.03 ||= Wizardharry ||= || | ||
==**Progressions / Chords / Pitch Space Divisions:**== | ==**Progressions / Chords / Pitch Space Divisions:**== | ||
2 octaves into 7 parts = 6 6 6 6 6 6 | 2 octaves into 7 parts = 6 6 6 6 6 6 | ||
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21-edo Septimal neutral major<br /> | 21-edo Septimal neutral major<br /> | ||
21-edo Quasi-equal major<br /> | 21-edo Quasi-equal major<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:204:&lt;img src=&quot;http://www.ronsword.com/images/ron1.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 188px; width: 254px;&quot; /&gt; --><img src="http://www.ronsword.com/images/ron1.jpg" alt="external image ron1.jpg" title="external image ron1.jpg" style="height: 188px; width: 254px;" /><!-- ws:end:WikiTextRemoteImageRule:204 --><!-- ws:start:WikiTextRemoteImageRule:205:&lt;img src=&quot;http://www.swordguitars.com/21tetsm.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 191px; width: 363px;&quot; /&gt; --><img src="http://www.swordguitars.com/21tetsm.JPG" alt="external image 21tetsm.JPG" title="external image 21tetsm.JPG" style="height: 191px; width: 363px;" /><!-- ws:end:WikiTextRemoteImageRule:205 --><br /> | ||
<strong><em>21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)</em></strong><br /> | <strong><em>21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)</em></strong><br /> | ||
<br /> | <br /> | ||
| Line 153: | Line 153: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2187/2048<br /> | <td style="text-align: center;">2187/2048<br /> | ||
</td> | </td> | ||
<td>| -11 7 &gt;<br /> | <td style="text-align: left;">| -11 7 &gt;<br /> | ||
</td> | </td> | ||
<td>113.69<br /> | <td style="text-align: right;">113.69<br /> | ||
</td> | </td> | ||
<td>Apotome<br /> | <td style="text-align: center;">Apotome<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</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 style="text-align: left;">| 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> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9931568/9752117<br /> | <td style="text-align: center;">9931568/9752117<br /> | ||
</td> | |||
<td style="text-align: left;">| -25 7 6 &gt;<br /> | |||
</td> | </td> | ||
<td | <td style="text-align: right;">31.57<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Ampersand's Comma<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9193891/9143623<br /> | <td style="text-align: center;">9193891/9143623<br /> | ||
</td> | |||
<td style="text-align: left;">| 32 -7 -9 &gt;<br /> | |||
</td> | </td> | ||
<td> | <td style="text-align: right;">9.49<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Escapade Comma<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1029/1000<br /> | <td style="text-align: center;">1029/1000<br /> | ||
</td> | </td> | ||
<td>| -3 1 -3 3 &gt;<br /> | <td style="text-align: left;">| -3 1 -3 3 &gt;<br /> | ||
</td> | </td> | ||
<td>49.49<br /> | <td style="text-align: right;">49.49<br /> | ||
</td> | </td> | ||
<td>Keega<br /> | <td style="text-align: center;">Keega<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 style="text-align: left;">| 2 2 -1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td | <td style="text-align: right;">48.77<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Septimal Quarter Tone<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9859966/9733137<br /> | <td style="text-align: center;">9859966/9733137<br /> | ||
</td> | </td> | ||
<td>| -10 7 8 -7 &gt;<br /> | <td style="text-align: left;">| -10 7 8 -7 &gt;<br /> | ||
</td> | </td> | ||
<td>22.41<br /> | <td style="text-align: right;">22.41<br /> | ||
</td> | </td> | ||
<td>Blackjackisma<br /> | <td style="text-align: center;">Blackjackisma<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> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>225/224<br /> | <td style="text-align: center;">225/224<br /> | ||
</td> | </td> | ||
<td>| -5 2 2 -1 &gt;<br /> | <td style="text-align: left;">| -5 2 2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>7.71<br /> | <td style="text-align: right;">7.71<br /> | ||
</td> | </td> | ||
<td>Septimal Kleisma<br /> | <td style="text-align: center;">Septimal Kleisma<br /> | ||
</td> | </td> | ||
<td>Marvel Comma<br /> | <td style="text-align: center;">Marvel Comma<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>16875/16807<br /> | <td style="text-align: center;">16875/16807<br /> | ||
</td> | </td> | ||
<td>| 0 3 4 -5 &gt;<br /> | <td style="text-align: left;">| 0 3 4 -5 &gt;<br /> | ||
</td> | </td> | ||
<td>6.99<br /> | <td style="text-align: right;">6.99<br /> | ||
</td> | </td> | ||
<td>Mirkwai<br /> | <td style="text-align: center;">Mirkwai<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2401/2400<br /> | <td style="text-align: center;">2401/2400<br /> | ||
</td> | </td> | ||
<td>| -5 -1 -2 4 &gt;<br /> | <td style="text-align: left;">| -5 -1 -2 4 &gt;<br /> | ||
</td> | </td> | ||
<td>0.72<br /> | <td style="text-align: right;">0.72<br /> | ||
</td> | </td> | ||
<td>Breedsma<br /> | <td style="text-align: center;">Breedsma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>394839/394762<br /> | <td style="text-align: center;">394839/394762<br /> | ||
</td> | </td> | ||
<td>| 47 -7 -7 -7 &gt;<br /> | <td style="text-align: left;">| 47 -7 -7 -7 &gt;<br /> | ||
</td> | </td> | ||
<td>0.34<br /> | <td style="text-align: right;">0.34<br /> | ||
</td> | </td> | ||
<td>Akjaysma<br /> | <td style="text-align: center;">Akjaysma<br /> | ||
</td> | </td> | ||
<td>5\7 Octave Comma<br /> | <td style="text-align: center;">5\7 Octave Comma<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> | ||
</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 style="text-align: left;">| 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> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4000/3993<br /> | <td style="text-align: center;">4000/3993<br /> | ||
</td> | </td> | ||
<td>| 5 -1 3 0 -3 &gt;<br /> | <td style="text-align: left;">| 5 -1 3 0 -3 &gt;<br /> | ||
</td> | </td> | ||
<td>3.03<br /> | <td style="text-align: right;">3.03<br /> | ||
</td> | </td> | ||
<td>Wizardharry<br /> | <td style="text-align: center;">Wizardharry<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||