Subgroup temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 258841312 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 284044216 - 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:genewardsmith|genewardsmith]] and made on <tt>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-08 23:58:59 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>284044216</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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[[Smonzos and Svals|Sval map]]: [<1 5 5 2|, <0 -5 -6 4|] | [[Smonzos and Svals|Sval map]]: [<1 5 5 2|, <0 -5 -6 4|] | ||
EDOs: 8, 11, 30, 41, 52 | EDOs: 8, 11, 30, 41, 52 | ||
Badness: 0.00439</pre></div> | Badness: 0.00439 | ||
=2.9.15.7.11.13= | |||
==Stacks (aka 2magic)== | |||
Commas: 100/99, 105/104, 144/143, 196/195 | |||
POTE generator: ~9/7 = 438.977 | |||
Sval map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] | |||
EDOs: 11, 30, 41 | |||
Badness: 0.00602 | |||
===2.9.15.7.11 stacks=== | |||
Commas: 100/99, 225/224, 245/243 | |||
POTE generator: ~9/7 =438.443 | |||
Sval map: [<1 0 2 -1 6|, <0 5 3 6 -4|] | |||
EDOs: 8, 11, 30, 41, 52 | |||
Badness: 0.00371 | |||
===2.9.15.7 stacks=== | |||
Commas: 225/224, 245/243 | |||
POTE generator: ~9/7 = 438.850 | |||
Sval map: [<1 0 2 -1|, <0 5 3 6|] | |||
EDOs: 8, 11, 30, 41, 93, 134c, 175c | |||
Badness: 0.00245</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>Subgroup temperaments</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>Subgroup temperaments</title></head><body><!-- ws:start:WikiTextTocRule:48:&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:48 --><!-- ws:start:WikiTextTocRule:49: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#x2.5.7.11">2.5.7.11</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#x2.9.15.7.11.13">2.9.15.7.11.13</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:73 -->Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on <a class="wiki_link" href="/Chromatic%20pairs">Chromatic pairs</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> | ||
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<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 5 5 2|, &lt;0 -5 -6 4|]<br /> | <a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 5 5 2|, &lt;0 -5 -6 4|]<br /> | ||
EDOs: 8, 11, 30, 41, 52<br /> | EDOs: 8, 11, 30, 41, 52<br /> | ||
Badness: 0.00439</body></html></pre></div> | Badness: 0.00439<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="x2.9.15.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:40 -->2.9.15.7.11.13</h1> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)"></a><!-- ws:end:WikiTextHeadingRule:42 -->Stacks (aka 2magic)</h2> | |||
Commas: 100/99, 105/104, 144/143, 196/195<br /> | |||
<br /> | |||
POTE generator: ~9/7 = 438.977<br /> | |||
<br /> | |||
Sval map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br /> | |||
EDOs: 11, 30, 41<br /> | |||
Badness: 0.00602<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:44:&lt;h3&gt; --><h3 id="toc22"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7.11 stacks"></a><!-- ws:end:WikiTextHeadingRule:44 -->2.9.15.7.11 stacks</h3> | |||
Commas: 100/99, 225/224, 245/243<br /> | |||
<br /> | |||
POTE generator: ~9/7 =438.443<br /> | |||
<br /> | |||
Sval map: [&lt;1 0 2 -1 6|, &lt;0 5 3 6 -4|]<br /> | |||
EDOs: 8, 11, 30, 41, 52<br /> | |||
Badness: 0.00371<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:46:&lt;h3&gt; --><h3 id="toc23"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7 stacks"></a><!-- ws:end:WikiTextHeadingRule:46 -->2.9.15.7 stacks</h3> | |||
Commas: 225/224, 245/243<br /> | |||
<br /> | |||
POTE generator: ~9/7 = 438.850<br /> | |||
<br /> | |||
Sval map: [&lt;1 0 2 -1|, &lt;0 5 3 6|]<br /> | |||
EDOs: 8, 11, 30, 41, 93, 134c, 175c<br /> | |||
Badness: 0.00245</body></html></pre></div> | |||