Subgroup temperaments: Difference between revisions
Wikispaces>keenanpepper **Imported revision 258787644 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 258792022 - 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:keenanpepper|keenanpepper]] and made on <tt>2011-09-27 16: | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-09-27 16:15:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>258792022</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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==I'd like a name for this please== | ==I'd like a name for this please== | ||
Could be thought of as "no-5's [[dominant]]" or "no-5's [[superpyth]]" | Could be thought of as "no-5's [[dominant]]" or "no-5's [[superpyth]]" | ||
Comma: 64/63 | Comma: 64/63 | ||
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Badness: 0.00461 | Badness: 0.00461 | ||
=2.3.11= | =2.3.11= | ||
==Name needed for this too== | ==Name needed for this too== | ||
Could be thought of as 2.3.11 version of either [[mohajira]] or [[maqamic]] | Could be thought of as 2.3.11 version of either [[mohajira]] or [[maqamic]] | ||
Comma: 243/242 | Comma: 243/242 | ||
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Map: [<1 1 2|, <0 2 5|] | Map: [<1 1 2|, <0 2 5|] | ||
EDOs: 7, 10, 17, 24, 41, 65 | EDOs: 7, 10, 17, 24, 41, 65 | ||
=2.3.5.11= | |||
==Porcupine== | |||
Commas: 55/54, 100/99 | |||
POTE generator: 164.078 | |||
Map: [<1 2 3 4|, <0 -3 -5 -4|] | |||
EDOs: 7, 15, 22, 37 | |||
==Mohaha== | |||
Commas: 81/80, 121/120 | |||
POTE generator: 348.094 | |||
Map: [<1 1 0 2|, <0 2 8 5|] | |||
EDOs: 7, 10, 17, 24, 31 | |||
=2.5.7.11= | =2.5.7.11= | ||
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Badness: 0.00439</pre></div> | Badness: 0.00439</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:40:&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:40 --><!-- ws:start:WikiTextTocRule:41: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#x2.5.7.11">2.5.7.11</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- 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: | <!-- ws:end:WikiTextTocRule:61 -->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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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x2.3.7-I'd like a name for this please"></a><!-- ws:end:WikiTextHeadingRule:4 -->I'd like a name for this please</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x2.3.7-I'd like a name for this please"></a><!-- ws:end:WikiTextHeadingRule:4 -->I'd like a name for this please</h2> | ||
Could be thought of as &quot;no-5's <a class="wiki_link" href="/dominant">dominant</a>&quot; or &quot;no-5's <a class="wiki_link" href="/superpyth">superpyth</a>&quot;<br /> | Could be thought of as &quot;no-5's <a class="wiki_link" href="/dominant">dominant</a>&quot; or &quot;no-5's <a class="wiki_link" href="/superpyth">superpyth</a>&quot;<br /> | ||
<br /> | |||
Comma: 64/63<br /> | Comma: 64/63<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="x2.3.11"></a><!-- ws:end:WikiTextHeadingRule:8 -->2.3.11</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="x2.3.11"></a><!-- ws:end:WikiTextHeadingRule:8 -->2.3.11</h1> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x2.3.11-Name needed for this too"></a><!-- ws:end:WikiTextHeadingRule:10 -->Name needed for this too</h2> | |||
Could be thought of as 2.3.11 version of either <a class="wiki_link" href="/mohajira">mohajira</a> or <a class="wiki_link" href="/maqamic">maqamic</a><br /> | |||
<br /> | <br /> | ||
Comma: 243/242<br /> | Comma: 243/242<br /> | ||
<br /> | <br /> | ||
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EDOs: 7, 10, 17, 24, 41, 65<br /> | EDOs: 7, 10, 17, 24, 41, 65<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x2.5.7.11"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:12 -->2.3.5.11</h1> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x2.3.5.11-Porcupine"></a><!-- ws:end:WikiTextHeadingRule:14 -->Porcupine</h2> | |||
Commas: 55/54, 100/99<br /> | |||
<br /> | |||
POTE generator: 164.078<br /> | |||
<br /> | |||
Map: [&lt;1 2 3 4|, &lt;0 -3 -5 -4|]<br /> | |||
EDOs: 7, 15, 22, 37<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x2.3.5.11-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohaha</h2> | |||
Commas: 81/80, 121/120<br /> | |||
<br /> | |||
POTE generator: 348.094<br /> | |||
<br /> | |||
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | |||
EDOs: 7, 10, 17, 24, 31<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="x2.5.7.11"></a><!-- ws:end:WikiTextHeadingRule:18 -->2.5.7.11</h1> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="x2.5.7.11-Larry"></a><!-- ws:end:WikiTextHeadingRule:20 -->Larry</h2> | ||
Commas: 243/242, 4000/3993<br /> | Commas: 243/242, 4000/3993<br /> | ||
Related temperaments: <a class="wiki_link" href="/Gravity%20family#Gravity">gravity</a>, <a class="wiki_link" href="/Gravity%20family#Harry">harry</a><br /> | Related temperaments: <a class="wiki_link" href="/Gravity%20family#Gravity">gravity</a>, <a class="wiki_link" href="/Gravity%20family#Harry">harry</a><br /> | ||
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Badness: 0.0125<br /> | Badness: 0.0125<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:22 -->2.3.7.11</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x2.3.7.11-Ennea"></a><!-- ws:end:WikiTextHeadingRule:24 -->Ennea</h2> | ||
Commas: 41503/41472, 43923/43904<br /> | Commas: 41503/41472, 43923/43904<br /> | ||
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Badness: 0.00426<br /> | Badness: 0.00426<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:26 -->Supra</h2> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
<br /> | <br /> | ||
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Badness: 0.00933<br /> | Badness: 0.00933<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:28 -->Skwares</h2> | ||
Commas: 99/98, 243/242<br /> | Commas: 99/98, 243/242<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0107<br /> | Badness: 0.0107<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="x2.3.7.11-Hemif"></a><!-- ws:end:WikiTextHeadingRule:30 -->Hemif</h2> | ||
Commas: 243/242, 896/891<br /> | Commas: 243/242, 896/891<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0109<br /> | Badness: 0.0109<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:32 -->2.9.7.11</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:34 -->Machine</h2> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
<br /> | <br /> | ||
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Badness: 0.00233<br /> | Badness: 0.00233<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:36 -->Apparatus</h2> | ||
Commas: 41503/41472, 322102/321489<br /> | Commas: 41503/41472, 322102/321489<br /> | ||
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Badness: 0.00263<br /> | Badness: 0.00263<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:38 -->Mechanism</h2> | ||
Commas: 896/891, 26411/26244<br /> | Commas: 896/891, 26411/26244<br /> | ||
<br /> | <br /> | ||