28edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602812588 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602812662 - 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 04:42:20 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602812662</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 # ||= 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]] || | ||
| Line 92: | Line 92: | ||
=Commas= | =Commas= | ||
28 EDO tempers out the following [[xenharmonic/comma|comma]]s. (Note: This assumes the val < | 28 EDO tempers out the following [[xenharmonic/comma|comma]]s. (Note: This assumes the val < 28 44 65 79 97 104 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 || | |||
||= 2187/2048|| | -11 7 > ||> 113.69 ||= Apotome ||= || | |||
||= 648/625 || | 3 4 -4 > ||> 62.57 ||= Major Diesis ||= Diminished Comma || | |||
||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || | |||
||= || | 17 1 -8 > ||> 11.45 ||= Wuerschmidt Comma ||= || | |||
||= 36/35 || | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||= || | |||
||= 50/49 || | 1 0 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma || | |||
||= 3125/3087 || | 0 -2 5 -3 > ||> 21.18 ||= Gariboh ||= || | |||
||= 126/125 || | 1 2 -3 1 > ||> 13.79 ||= Septimal Semicomma ||= Starling Comma || | |||
||= 65625/65536 || | -16 1 5 1 > ||> 2.35 ||= Horwell ||= || | |||
||= || | 47 -7 -7 -7 > ||> 0.34 ||= Akjaysma ||= 5\7 Octave Comma || | |||
||= 176/175 || | 4 0 -2 -1 1 > ||> 9.86 ||= Valinorsma ||= || | |||
||= 441/440 || | -3 2 -1 2 -1 > ||> 3.93 ||= Werckisma ||= || | |||
||= 4000/3993 || | 5 -1 3 0 -3 > ||> 3.03 ||= Wizardharry ||= || | |||
=Some scales= | |||
[[xenharmonic/machine5|machine5]] | |||
[[xenharmonic/machine6|machine6]] | [[xenharmonic/machine6|machine6]] | ||
[[xenharmonic/machine11|machine11]] | [[xenharmonic/machine11|machine11]] | ||
| Line 99: | Line 117: | ||
[[http://www.youtube.com/watch?v=26UpCbrb3mE|28 tone Prelude]] by Kosmorksy</pre></div> | [[http://www.youtube.com/watch?v=26UpCbrb3mE|28 tone Prelude]] by Kosmorksy</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>28edo</title></head><body><!-- ws:start:WikiTextTocRule: | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>28edo</title></head><body><!-- ws:start:WikiTextTocRule:16:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><a href="#Basic properties">Basic properties</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Subgroups">Subgroups</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Table of intervals">Table of intervals</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Chord Names">Chord Names</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Rank two temperaments">Rank two temperaments</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Some scales">Some scales</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:25 --><hr /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Basic properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Basic properties</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Basic properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Basic properties</h1> | ||
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<td style="text-align: center;">Just Cents<br /> | <td style="text-align: center;">Just Cents<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Difference <br /> | <td style="text-align: center;">Difference<br /> | ||
(ET minus Just)<br /> | (ET minus Just)<br /> | ||
</td> | </td> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Chord Names"></a><!-- ws:end:WikiTextHeadingRule:6 --><!-- ws:start:WikiTextAnchorRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Chord Names"></a><!-- ws:end:WikiTextHeadingRule:6 --><!-- ws:start:WikiTextAnchorRule:26:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@Chord Names&quot; title=&quot;Anchor: Chord Names&quot;/&gt; --><a name="Chord Names"></a><!-- ws:end:WikiTextAnchorRule:26 -->Chord Names</h1> | ||
<br /> | <br /> | ||
Ups and downs can be used to name 28edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used.<br /> | Ups and downs can be used to name 28edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used.<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h1> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h1> | ||
28 EDO tempers out the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the val &lt; < | 28 EDO tempers out the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the val &lt; 28 44 65 79 97 104 |.)<br /> | ||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>Comma<br /> | |||
</th> | |||
<th>Monzo<br /> | |||
</th> | |||
<th>Value (Cents)<br /> | |||
</th> | |||
<th>Name 1<br /> | |||
</th> | |||
<th>Name 2<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">2187/2048<br /> | |||
</td> | |||
<td>| -11 7 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">113.69<br /> | |||
</td> | |||
<td style="text-align: center;">Apotome<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">648/625<br /> | |||
</td> | |||
<td>| 3 4 -4 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">62.57<br /> | |||
</td> | |||
<td style="text-align: center;">Major Diesis<br /> | |||
</td> | |||
<td style="text-align: center;">Diminished Comma<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">16875/16384<br /> | |||
</td> | |||
<td>| -14 3 4 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">51.12<br /> | |||
</td> | |||
<td style="text-align: center;">Negri Comma<br /> | |||
</td> | |||
<td style="text-align: center;">Double Augmentation Diesis<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td>| 17 1 -8 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">11.45<br /> | |||
</td> | |||
<td style="text-align: center;">Wuerschmidt Comma<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">36/35<br /> | |||
</td> | |||
<td>| 2 2 -1 -1 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">48.77<br /> | |||
</td> | |||
<td style="text-align: center;">Septimal Quarter Tone<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">50/49<br /> | |||
</td> | |||
<td>| 1 0 2 -2 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">34.98<br /> | |||
</td> | |||
<td style="text-align: center;">Tritonic Diesis<br /> | |||
</td> | |||
<td style="text-align: center;">Jubilisma<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">3125/3087<br /> | |||
</td> | |||
<td>| 0 -2 5 -3 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">21.18<br /> | |||
</td> | |||
<td style="text-align: center;">Gariboh<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">126/125<br /> | |||
</td> | |||
<td>| 1 2 -3 1 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">13.79<br /> | |||
</td> | |||
<td style="text-align: center;">Septimal Semicomma<br /> | |||
</td> | |||
<td style="text-align: center;">Starling Comma<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">65625/65536<br /> | |||
</td> | |||
<td>| -16 1 5 1 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">2.35<br /> | |||
</td> | |||
<td style="text-align: center;">Horwell<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td>| 47 -7 -7 -7 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">0.34<br /> | |||
</td> | |||
<td style="text-align: center;">Akjaysma<br /> | |||
</td> | |||
<td style="text-align: center;">5\7 Octave Comma<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">176/175<br /> | |||
</td> | |||
<td>| 4 0 -2 -1 1 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">9.86<br /> | |||
</td> | |||
<td style="text-align: center;">Valinorsma<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">441/440<br /> | |||
</td> | |||
<td>| -3 2 -1 2 -1 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">3.93<br /> | |||
</td> | |||
<td style="text-align: center;">Werckisma<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">4000/3993<br /> | |||
</td> | |||
<td>| 5 -1 3 0 -3 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">3.03<br /> | |||
</td> | |||
<td style="text-align: center;">Wizardharry<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Some scales"></a><!-- ws:end:WikiTextHeadingRule:12 -->Some scales</h1> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">machine5</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6">machine6</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6">machine6</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">machine11</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">machine11</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:14 -->Compositions</h1> | ||
<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=26UpCbrb3mE" rel="nofollow">28 tone Prelude</a> by Kosmorksy</body></html></pre></div> | <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=26UpCbrb3mE" rel="nofollow">28 tone Prelude</a> by Kosmorksy</body></html></pre></div> | ||