21edo: Difference between revisions
Wikispaces>TallKite **Imported revision 599949526 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601376472 - 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: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-04 23:21:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>601376472</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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||= Step Pattern ||= Cents ||= Name* || | ||= Step Pattern ||= Cents ||= Name* || | ||
||= 3, 3, 3 ||= | ||= 3, 3, 3 ||= (0)-171-343-(514) ||= Equable diatonic || | ||
||= 4, 3, 2 ||= | ||= 4, 3, 2 ||= (0)-229-400-(514) ||= Soft diatonic || | ||
||= 4, 4, 1 ||= | ||= 4, 4, 1 ||= (0)-229-457-(514) ||= Intense diatonic || | ||
||= 5, 3, 1 ||= | ||= 5, 3, 1 ||= (0)-286-457-(514) ||= Archytas chromatic || | ||
||= 5, 2, 2 ||= | ||= 5, 2, 2 ||= (0)-286-400-(514) ||= Weak chromatic || | ||
||= 6, 2, 1 ||= | ||= 6, 2, 1 ||= (0)-343-457-(514) ||= Strong enharmonic || | ||
||= 7, 1, 1 ||= | ||= 7, 1, 1 ||= (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 < | 21 EDO tempers out the following 13-limit commas. (Note: This assumes the val < 21 33 49 59 73 78/1 |.) | ||
||~ 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 ||= || | ||
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<td style="text-align: center;">3, 3, 3<br /> | <td style="text-align: center;">3, 3, 3<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">(0)-171-343-(514)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Equable diatonic<br /> | <td style="text-align: center;">Equable diatonic<br /> | ||
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<td style="text-align: center;">4, 3, 2<br /> | <td style="text-align: center;">4, 3, 2<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">(0)-229-400-(514)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Soft diatonic<br /> | <td style="text-align: center;">Soft diatonic<br /> | ||
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<td style="text-align: center;">4, 4, 1<br /> | <td style="text-align: center;">4, 4, 1<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">(0)-229-457-(514)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Intense diatonic<br /> | <td style="text-align: center;">Intense diatonic<br /> | ||
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<td style="text-align: center;">5, 3, 1<br /> | <td style="text-align: center;">5, 3, 1<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">(0)-286-457-(514)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Archytas chromatic<br /> | <td style="text-align: center;">Archytas chromatic<br /> | ||
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<td style="text-align: center;">5, 2, 2<br /> | <td style="text-align: center;">5, 2, 2<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">(0)-286-400-(514)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Weak chromatic<br /> | <td style="text-align: center;">Weak chromatic<br /> | ||
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<td style="text-align: center;">6, 2, 1<br /> | <td style="text-align: center;">6, 2, 1<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">(0)-343-457-(514)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Strong enharmonic<br /> | <td style="text-align: center;">Strong enharmonic<br /> | ||
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<td style="text-align: center;">7, 1, 1<br /> | <td style="text-align: center;">7, 1, 1<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">(0)-400-457-(514)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Pythagorean enharmonic<br /> | <td style="text-align: center;">Pythagorean enharmonic<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x21 equal divisions of the octave-13-limit Commas"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit Commas</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x21 equal divisions of the octave-13-limit Commas"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit Commas</h2> | ||
21 EDO tempers out the following 13-limit commas. (Note: This assumes the val &lt | 21 EDO tempers out the following 13-limit commas. (Note: This assumes the val &lt; 21 33 49 59 73 78/1 |.)<br /> | ||