28edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602812662 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602812686 - 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:TallKite|TallKite]] and made on <tt>2016-12-26 04: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-26 04:44:47 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602812686</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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=Table of intervals= | =Table of intervals= | ||
The following table compares it to potentially useful nearby [[xenharmonic/just intervals|just intervals]]. | The following table compares it to potentially useful nearby [[xenharmonic/just intervals|just intervals]]. | ||
||= Step # ||= ET Cents ||= Just Interval ||= Just Cents ||= Difference | ||= Step # ||= ET Cents ||= Just Interval ||= Just Cents ||= Difference | ||
(ET minus Just) ||||||= [[xenharmonic/Ups and Downs Notation|Up/down]] | (ET minus Just) ||||||= [[xenharmonic/Ups and Downs Notation|Up/down]] | ||
[[xenharmonic/Ups and Downs Notation|Notation]] || | [[xenharmonic/Ups and Downs Notation|Notation]] || | ||
||= 0 ||= 0¢ ||= | ||= 0 ||= 0¢ ||= ||= ||= ||= unison ||= 1 ||= D || | ||
||= 1 ||= 42.86 ||= ||= ||= ||= up-unison ||= ^1 ||= D^ || | ||= 1 ||= 42.86 ||= ||= ||= ||= up-unison ||= ^1 ||= D^ || | ||
||= 2 ||= 85.71 ||= 21:20 ||= 84.47 ||= 1.24 ||= double-up, double-down ||= ^^1, vv2 ||= D^^, Evv || | ||= 2 ||= 85.71 ||= 21:20 ||= 84.47 ||= 1.24 ||= double-up, double-down ||= ^^1, vv2 ||= D^^, Evv || | ||
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28 EDO tempers out the following [[xenharmonic/comma|comma]]s. (Note: This assumes the val < 28 44 65 79 97 104 |.) | 28 EDO tempers out the following [[xenharmonic/comma|comma]]s. (Note: This assumes the val < 28 44 65 79 97 104 |.) | ||
||~ Comma ||~ Monzo ||~ | ||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 || | ||
||= 2187/2048|| | -11 7 > || | ||= 2187/2048 ||< | -11 7 > ||= 113.69 ||= Apotome ||= || | ||
||= 648/625 || | 3 4 -4 > || | ||= 648/625 ||< | 3 4 -4 > ||= 62.57 ||= Major Diesis ||= Diminished Comma || | ||
||= 16875/16384 || | -14 3 4 > || | ||= 16875/16384 ||< | -14 3 4 > ||= 51.12 ||= Negri Comma ||= Double Augmentation Diesis || | ||
||= || | 17 1 -8 > || | ||= ||< | 17 1 -8 > ||= 11.45 ||= Wuerschmidt Comma ||= || | ||
||= 36/35 || | 2 2 -1 -1 > || | ||= 36/35 ||< | 2 2 -1 -1 > ||= 48.77 ||= Septimal Quarter Tone ||= || | ||
||= 50/49 || | 1 0 2 -2 > || | ||= 50/49 ||< | 1 0 2 -2 > ||= 34.98 ||= Tritonic Diesis ||= Jubilisma || | ||
||= 3125/3087 || | 0 -2 5 -3 > || | ||= 3125/3087 ||< | 0 -2 5 -3 > ||= 21.18 ||= Gariboh ||= || | ||
||= 126/125 || | 1 2 -3 1 > || | ||= 126/125 ||< | 1 2 -3 1 > ||= 13.79 ||= Septimal Semicomma ||= Starling Comma || | ||
||= 65625/65536 || | -16 1 5 1 > || | ||= 65625/65536 ||< | -16 1 5 1 > ||= 2.35 ||= Horwell ||= || | ||
||= || | 47 -7 -7 -7 > || | ||= ||< | 47 -7 -7 -7 > ||= 0.34 ||= Akjaysma ||= 5\7 Octave Comma || | ||
||= 176/175 || | 4 0 -2 -1 1 > || | ||= 176/175 ||< | 4 0 -2 -1 1 > ||= 9.86 ||= Valinorsma ||= || | ||
||= 441/440 || | -3 2 -1 2 -1 > || | ||= 441/440 ||< | -3 2 -1 2 -1 > ||= 3.93 ||= Werckisma ||= || | ||
||= 4000/3993 || | 5 -1 3 0 -3 > || | ||= 4000/3993 ||< | 5 -1 3 0 -3 > ||= 3.03 ||= Wizardharry ||= || | ||
=Some scales= | =Some scales= | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Table of intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Table of intervals</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Table of intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Table of intervals</h1> | ||
The following table compares it to potentially useful nearby <a class="wiki_link" href="http://xenharmonic.wikispaces.com/just%20intervals">just intervals</a>.<br /> | The following table compares it to potentially useful nearby <a class="wiki_link" href="http://xenharmonic.wikispaces.com/just%20intervals">just intervals</a>.<br /> | ||
<br /> | <br /> | ||
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<td style="text-align: center;">0¢<br /> | <td style="text-align: center;">0¢<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">unison<br /> | <td style="text-align: center;">unison<br /> | ||
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<th>Monzo<br /> | <th>Monzo<br /> | ||
</th> | </th> | ||
<th> | <th>Cents<br /> | ||
</th> | </th> | ||
<th>Name 1<br /> | <th>Name 1<br /> | ||
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<td style="text-align: center;">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 style="text-align: | <td style="text-align: center;">113.69<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Apotome<br /> | <td style="text-align: center;">Apotome<br /> | ||
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<td style="text-align: center;">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 style="text-align: | <td style="text-align: center;">62.57<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Major Diesis<br /> | <td style="text-align: center;">Major Diesis<br /> | ||
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<td style="text-align: center;">16875/16384<br /> | <td style="text-align: center;">16875/16384<br /> | ||
</td> | </td> | ||
<td>| -14 3 4 &gt;<br /> | <td style="text-align: left;">| -14 3 4 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: center;">51.12<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Negri Comma<br /> | <td style="text-align: center;">Negri Comma<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>| 17 1 -8 &gt;<br /> | <td style="text-align: left;">| 17 1 -8 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: center;">11.45<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Wuerschmidt Comma<br /> | <td style="text-align: center;">Wuerschmidt Comma<br /> | ||
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<td style="text-align: center;">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 style="text-align: | <td style="text-align: center;">48.77<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Septimal Quarter Tone<br /> | <td style="text-align: center;">Septimal Quarter Tone<br /> | ||
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<td style="text-align: center;">50/49<br /> | <td style="text-align: center;">50/49<br /> | ||
</td> | </td> | ||
<td>| 1 0 2 -2 &gt;<br /> | <td style="text-align: left;">| 1 0 2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: center;">34.98<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Tritonic Diesis<br /> | <td style="text-align: center;">Tritonic Diesis<br /> | ||
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<td style="text-align: center;">3125/3087<br /> | <td style="text-align: center;">3125/3087<br /> | ||
</td> | </td> | ||
<td>| 0 -2 5 -3 &gt;<br /> | <td style="text-align: left;">| 0 -2 5 -3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: center;">21.18<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Gariboh<br /> | <td style="text-align: center;">Gariboh<br /> | ||
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<td style="text-align: center;">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 style="text-align: | <td style="text-align: center;">13.79<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Septimal Semicomma<br /> | <td style="text-align: center;">Septimal Semicomma<br /> | ||
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<td style="text-align: center;">65625/65536<br /> | <td style="text-align: center;">65625/65536<br /> | ||
</td> | </td> | ||
<td>| -16 1 5 1 &gt;<br /> | <td style="text-align: left;">| -16 1 5 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: center;">2.35<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Horwell<br /> | <td style="text-align: center;">Horwell<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>| 47 -7 -7 -7 &gt;<br /> | <td style="text-align: left;">| 47 -7 -7 -7 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: center;">0.34<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Akjaysma<br /> | <td style="text-align: center;">Akjaysma<br /> | ||
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<td style="text-align: center;">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 style="text-align: | <td style="text-align: center;">9.86<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Valinorsma<br /> | <td style="text-align: center;">Valinorsma<br /> | ||
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<td style="text-align: center;">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 style="text-align: | <td style="text-align: center;">3.93<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Werckisma<br /> | <td style="text-align: center;">Werckisma<br /> | ||
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<td style="text-align: center;">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 style="text-align: | <td style="text-align: center;">3.03<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Wizardharry<br /> | <td style="text-align: center;">Wizardharry<br /> |