21edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 597508726 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 597508862 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 18: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 18:59:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597508862</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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|| 12 || 685.714, 824.857 | || 12 || 685.714, 824.857 | ||
<span style="background-color: #ffffff;">205°42'51"</span> || G || G# ||= Grave 5th ||= 189/128, 240/161 ||= 52/35 ||= 3/2, 13/9 || | <span style="background-color: #ffffff;">205°42'51"</span> || G || G# ||= Grave 5th ||= 189/128, 240/161 ||= 52/35 ||= 3/2, 13/9 || | ||
|| 13 || 742.857, 891.428 | || 13 || 742.857, 891.428 | ||
222°<span style="background-color: #ffffff;">51'26"</span> || G^/Avv || Hb ||= Fifth-Sixth ||= 23/15 ||= 17/11, 20/13, 26/17 ||= 20/13 || | 222°<span style="background-color: #ffffff;">51'26"</span> || G^/Avv || Hb ||= Fifth-Sixth ||= 23/15 ||= 17/11, 20/13, 26/17 ||= 20/13 || | ||
|| 14 || 800, 960 | || 14 || 800, 960 | ||
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||= Step Pattern ||= Cents ||= Name* || | ||= Step Pattern ||= Cents ||= Name* || | ||
||= 3, 3, 3 ||= [[tel | ||= 3, 3, 3 ||= [[tel/0-171-343-514|0-171-343-514]] ||= Equable diatonic || | ||
||= 4, 3, 2 ||= [[tel | ||= 4, 3, 2 ||= [[tel/0-229-400-514|0-229-400-514]] ||= Soft diatonic || | ||
||= 4, 4, 1 ||= [[tel | ||= 4, 4, 1 ||= [[tel/0-229-457-514|0-229-457-514]] ||= Intense diatonic || | ||
||= 5, 3, 1 ||= [[tel | ||= 5, 3, 1 ||= [[tel/0-286-457-514|0-286-457-514]] ||= Archytas chromatic || | ||
||= 5, 2, 2 ||= [[tel | ||= 5, 2, 2 ||= [[tel/0-286-400-514|0-286-400-514]] ||= Weak chromatic || | ||
||= 6, 2, 1 ||= [[tel | ||= 6, 2, 1 ||= [[tel/0-343-457-514|0-343-457-514]] ||= Strong enharmonic || | ||
||= 7, 1, 1 ||= [[tel | ||= 7, 1, 1 ||= [[tel/0-400-457-514|0-400-457-514]] ||= Pythagorean enharmonic || | ||
*these names may not be correct in relating to the ancient Greek tetrachordal genera; please change them if you know better! | *these names may not be correct in relating to the ancient Greek tetrachordal genera; please change them if you know better! | ||
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==13-limit Commas== | ==13-limit Commas== | ||
21 EDO tempers out the following 13-limit commas. (Note: This assumes the val < [[tel | 21 EDO tempers out the following 13-limit commas. (Note: This assumes the val < [[tel/21 33 49 59 73 78|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 || | ||
||= | ||= ||< | -25 7 6 > ||> 31.57 ||= Ampersand's Comma || || | ||
||= | ||= ||< | 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 ||= Septimal Quarter Tone || || | ||= 36/35 ||< | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone || || | ||
||= | ||= ||< | -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 ||= || | ||
||= | ||= ||< | 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 ||= || | ||
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<td>13<br /> | <td>13<br /> | ||
</td> | </td> | ||
<td>742.857, 891.428 <br /> | <td>742.857, 891.428<br /> | ||
222°<span style="background-color: #ffffff;">51'26&quot;</span><br /> | 222°<span style="background-color: #ffffff;">51'26&quot;</span><br /> | ||
</td> | </td> | ||
| Line 921: | Line 921: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| -25 7 6 &gt;<br /> | <td style="text-align: left;">| -25 7 6 &gt;<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| 32 -7 -9 &gt;<br /> | <td style="text-align: left;">| 32 -7 -9 &gt;<br /> | ||
| Line 969: | Line 969: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| -10 7 8 -7 &gt;<br /> | <td style="text-align: left;">| -10 7 8 -7 &gt;<br /> | ||
| Line 1,029: | Line 1,029: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| 47 -7 -7 -7 &gt;<br /> | <td style="text-align: left;">| 47 -7 -7 -7 &gt;<br /> | ||