34edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 323731420 - Original comment: ** |
Wikispaces>phylingual **Imported revision 330018202 - 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:phylingual|phylingual]] and made on <tt>2012-05-04 11:25:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>330018202</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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==<span style="background-color: #ffffff;">Commas</span>== | ==<span style="background-color: #ffffff;">Commas</span>== | ||
<span style="background-color: #ffffff;">34-EDO [[xenharmonic/tempering out|tempers out]] the following [[xenharmonic/comma|comma]]s. (Note: This assumes the [[xenharmonic/val|val]] < 34 54 79 95 118 126 |.)</span> | <span style="background-color: #ffffff;">34-EDO [[xenharmonic/tempering out|tempers out]] the following [[xenharmonic/comma|comma]]s. (Note: This assumes the [[xenharmonic/val|val]] < 34 54 79 95 118 126 |.)</span> | ||
||~ <span style="text-align: center;"><span style="display: block; text-align: center;">**Comma**</span></span> ||~ <span style="text-align: center;"><span style="display: block; text-align: center;">**Monzo**</span></span> ||~ <span style="text-align: center;"><span style="display: block; text-align: center;">**Value (Cents)**</span></span> ||~ <span style="text-align: center;"><span style="display: block; text-align: center;">**Name 1**</span></span> ||~ <span style="text-align: center;"><span style="display: block; text-align: center;">**Name 2**</span></span> ||~ <span style="text-align: center;"><span style="display: block; text-align: center;">**Name 3**</span></span> || | |||
||~ | || <span style="text-align: center;"><span style="display: block; text-align: center;">134217728/129140163</span></span> || | 27 -17 > || <span style="text-align: right;"><span style="display: block; text-align: right;">66.765</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">17-comma</span></span> || || || | ||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">20000/19683</span></span> || | 5 -9 4 > || <span style="text-align: right;"><span style="display: block; text-align: right;">27.660</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Minimal Diesis</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Tetracot Comma</span></span> || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">2048/2025</span></span> || | 11 -4 -2 > || <span style="text-align: right;"><span style="display: block; text-align: right;">19.553</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Diaschisma</span></span> || || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">393216/390625</span></span> || | 17 1 -8 > || <span style="text-align: right;"><span style="display: block; text-align: right;">11.445</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Würschmidt comma</span></span> || || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">15625/15552</span></span> || | -6 -5 6 > || <span style="text-align: right;"><span style="display: block; text-align: right;">8.1073</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Kleisma</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Semicomma Majeur</span></span> || || | |||
||= <span style=" | || <span style="text-align: center;"><span style="display: block; text-align: center;">1212717/1210381</span></span> || | 23 6 -14 > || <span style="text-align: right;"><span style="display: block; text-align: right;">3.338</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Vishnuzma</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Semisuper</span></span> || || | ||
|| | || <span style="text-align: center;"><span style="display: block; text-align: center;">1029/1000</span></span> || | -3 1 -3 3 > || <span style="text-align: right;"><span style="display: block; text-align: right;">49.492</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Keega</span></span> || || || | ||
|| <span style="text-align: center;"><span style="display: block; text-align: center;"><span style="color: blue;">[[xenharmonic/49_48|49/48]]</span></span></span> || | -4 -1 0 2 > || <span style="text-align: right;"><span style="display: block; text-align: right;">35.697</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Slendro Diesis</span></span> || || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">875/864</span></span> || | -5 -3 3 1 > || <span style="text-align: right;"><span style="display: block; text-align: right;">21.902</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Keema</span></span> || || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">126/125</span></span> || | 1 2 -3 1 > || <span style="text-align: right;"><span style="display: block; text-align: right;">13.795</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Starling comma</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Septimal semicomma</span></span> || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">100/99</span></span> || | 2 -2 2 0 -1> || <span style="text-align: right;"><span style="display: block; text-align: right;">17.399</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Ptolemisma</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Ptolemy's comma</span></span> || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">243/242</span></span> || | -1 5 0 0 -2 > || <span style="text-align: right;"><span style="display: block; text-align: right;">7.1391</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Rastma</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Neutral third comma</span></span> || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">385/384</span></span> || | -7 -1 1 1 1 > || <span style="text-align: right;"><span style="display: block; text-align: right;">4.5026</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Keenanisma</span></span> || || || | |||
|| <span style="text-align: center;"><span style="display: block; text-align: center;">91/90</span></span> || | -1 -2 -1 1 0 1 > || <span style="text-align: right;"><span style="display: block; text-align: right;">19.120</span></span> || <span style="text-align: center;"><span style="display: block; text-align: center;">Superleap</span></span> || || || | |||
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Commas"></a><!-- ws:end:WikiTextHeadingRule:10 --><span style="background-color: #ffffff;">Commas</span></h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Commas"></a><!-- ws:end:WikiTextHeadingRule:10 --><span style="background-color: #ffffff;">Commas</span></h2> | ||
<span style="background-color: #ffffff;">34-EDO <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">tempers out</a> the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/val">val</a> &lt; 34 54 79 95 118 126 |.)</span><br /> | <span style="background-color: #ffffff;">34-EDO <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">tempers out</a> the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/val">val</a> &lt; 34 54 79 95 118 126 |.)</span><br /> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<th>Comma<br /> | <th><span style="text-align: center;"><span style="display: block; text-align: center;"><strong>Comma</strong></span></span><br /> | ||
</th> | </th> | ||
<th>Monzo<br /> | <th><span style="text-align: center;"><span style="display: block; text-align: center;"><strong>Monzo</strong></span></span><br /> | ||
</th> | </th> | ||
<th>Value (Cents)<br /> | <th><span style="text-align: center;"><span style="display: block; text-align: center;"><strong>Value (Cents)</strong></span></span><br /> | ||
</th> | </th> | ||
<th>Name 1<br /> | <th><span style="text-align: center;"><span style="display: block; text-align: center;"><strong>Name 1</strong></span></span><br /> | ||
</th> | </th> | ||
<th>Name 2<br /> | <th><span style="text-align: center;"><span style="display: block; text-align: center;"><strong>Name 2</strong></span></span><br /> | ||
</th> | </th> | ||
<th>Name 3<br /> | <th><span style="text-align: center;"><span style="display: block; text-align: center;"><strong>Name 3</strong></span></span><br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><span style=" | <td><span style="text-align: center;"><span style="display: block; text-align: center;">134217728/129140163</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| 27 -17 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">66.765<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">66.765</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">17-comma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">17-comma</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">20000/19683<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">20000/19683</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| 5 -9 4 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;"><span style=" | <td><span style="text-align: right;"><span style="display: block; text-align: right;">27.660</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Minimal Diesis<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Minimal Diesis</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Tetracot Comma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Tetracot Comma</span></span><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><span style=" | <td><span style="text-align: center;"><span style="display: block; text-align: center;">2048/2025</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| 11 -4 -2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">19.553<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">19.553</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Diaschisma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Diaschisma</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><span style=" | <td><span style="text-align: center;"><span style="display: block; text-align: center;">393216/390625</span></span><br /> | ||
</td> | </td> | ||
<td>| 17 1 -8 &gt;<br /> | <td>| 17 1 -8 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;"><span style=" | <td><span style="text-align: right;"><span style="display: block; text-align: right;">11.445</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Würschmidt comma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Würschmidt comma</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 741: | Line 739: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><span style=" | <td><span style="text-align: center;"><span style="display: block; text-align: center;">15625/15552</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| -6 -5 6 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;"><span style="display: block; text-align: right;">8.1073</span><br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">8.1073</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><span style="display: block; text-align: center;">Kleisma</span><br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Kleisma</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><span style="display: block; text-align: center;">Semicomma Majeur</span><br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Semicomma Majeur</span></span><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 755: | Line 753: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td><span style="text-align: center;"><span style="display: block; text-align: center;">1212717/1210381</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| 23 6 -14 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">3.338<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">3.338</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><span style=" | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Vishnuzma</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Semisuper<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Semisuper</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">1029/1000<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">1029/1000</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| -3 1 -3 3 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">49.492<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">49.492</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><span style=" | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Keega</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/49_48">49/48</a><br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;"><span style="color: blue;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/49_48">49/48</a></span></span></span><br /> | ||
</td> | </td> | ||
<td | <td>| -4 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">35.697<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">35.697</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Slendro Diesis<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Slendro Diesis</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">875/864<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">875/864</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| -5 -3 3 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">21.902<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">21.902</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Keema<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Keema</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">126/125<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">126/125</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| 1 2 -3 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">13.795<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">13.795</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Starling comma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Starling comma</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Septimal semicomma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Septimal semicomma</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">100/99<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">100/99</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| 2 -2 2 0 -1&gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">17.399<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">17.399</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Ptolemisma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Ptolemisma</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Ptolemy's comma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Ptolemy's comma</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">243/242<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">243/242</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| -1 5 0 0 -2 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;"><span style=" | <td><span style="text-align: right;"><span style="display: block; text-align: right;">7.1391</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Rastma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Rastma</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Neutral third comma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Neutral third comma</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">385/384<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">385/384</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| -7 -1 1 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;"><span style=" | <td><span style="text-align: right;"><span style="display: block; text-align: right;">4.5026</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Keenanisma<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Keenanisma</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">91/90<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">91/90</span></span><br /> | ||
</td> | </td> | ||
<td | <td>| -1 -2 -1 1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">19.120<br /> | <td><span style="text-align: right;"><span style="display: block; text-align: right;">19.120</span></span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Superleap<br /> | <td><span style="text-align: center;"><span style="display: block; text-align: center;">Superleap</span></span><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> |