Subgroup temperaments: Difference between revisions

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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 16:03:32 UTC</tt>.<br>
: 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>258787644</tt>.<br>
: 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: [&lt;1 1 2|, &lt;0 2 5|]
Map: [&lt;1 1 2|, &lt;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: [&lt;1 2 3 4|, &lt;0 -3 -5 -4|]
EDOs: 7, 15, 22, 37
==Mohaha==
Commas: 81/80, 121/120
POTE generator: 348.094
Map: [&lt;1 1 0 2|, &lt;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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Subgroup temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:34:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;a href="#x2.3.7"&gt;2.3.7&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt; | &lt;a href="#x2.3.11"&gt;2.3.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt; | &lt;a href="#x2.5.7.11"&gt;2.5.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt; | &lt;a href="#x2.3.7.11"&gt;2.3.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt; | &lt;a href="#x2.9.7.11"&gt;2.9.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Subgroup temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:40:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;a href="#x2.3.7"&gt;2.3.7&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt; | &lt;a href="#x2.3.11"&gt;2.3.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt; | &lt;a href="#x2.3.5.11"&gt;2.3.5.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt; | &lt;a href="#x2.5.7.11"&gt;2.5.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt; | &lt;a href="#x2.3.7.11"&gt;2.3.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt; | &lt;a href="#x2.9.7.11"&gt;2.9.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;
&lt;!-- ws:end:WikiTextTocRule:52 --&gt;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 &lt;a class="wiki_link" href="/Chromatic%20pairs"&gt;Chromatic pairs&lt;/a&gt;.&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:61 --&gt;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 &lt;a class="wiki_link" href="/Chromatic%20pairs"&gt;Chromatic pairs&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x2.3.7"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2.3.7&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x2.3.7"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2.3.7&lt;/h1&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x2.3.7-I'd like a name for this please"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;I'd like a name for this please&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x2.3.7-I'd like a name for this please"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;I'd like a name for this please&lt;/h2&gt;
  Could be thought of as &amp;quot;no-5's &lt;a class="wiki_link" href="/dominant"&gt;dominant&lt;/a&gt;&amp;quot; or &amp;quot;no-5's &lt;a class="wiki_link" href="/superpyth"&gt;superpyth&lt;/a&gt;&amp;quot;&lt;br /&gt;
  Could be thought of as &amp;quot;no-5's &lt;a class="wiki_link" href="/dominant"&gt;dominant&lt;/a&gt;&amp;quot; or &amp;quot;no-5's &lt;a class="wiki_link" href="/superpyth"&gt;superpyth&lt;/a&gt;&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Comma: 64/63&lt;br /&gt;
Comma: 64/63&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="x2.3.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;2.3.11&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="x2.3.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;2.3.11&lt;/h1&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x2.3.11-Name needed for this too"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Name needed for this too&lt;/h2&gt;
Could be thought of as 2.3.11 version of either &lt;a class="wiki_link" href="/mohajira"&gt;mohajira&lt;/a&gt; or &lt;a class="wiki_link" href="/maqamic"&gt;maqamic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x2.3.11-Name needed for this too"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Name needed for this too&lt;/h2&gt;
Could be thought of as 2.3.11 version of either &lt;a class="wiki_link" href="/mohajira"&gt;mohajira&lt;/a&gt; or &lt;a class="wiki_link" href="/maqamic"&gt;maqamic&lt;/a&gt;&lt;br /&gt;
Comma: 243/242&lt;br /&gt;
Comma: 243/242&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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EDOs: 7, 10, 17, 24, 41, 65&lt;br /&gt;
EDOs: 7, 10, 17, 24, 41, 65&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x2.5.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;2.5.7.11&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x2.3.5.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;2.3.5.11&lt;/h1&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x2.3.5.11-Porcupine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Porcupine&lt;/h2&gt;
Commas: 55/54, 100/99&lt;br /&gt;
&lt;br /&gt;
POTE generator: 164.078&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 4|, &amp;lt;0 -3 -5 -4|]&lt;br /&gt;
EDOs: 7, 15, 22, 37&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x2.3.5.11-Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Mohaha&lt;/h2&gt;
Commas: 81/80, 121/120&lt;br /&gt;
&lt;br /&gt;
POTE generator: 348.094&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 31&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="x2.5.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;2.5.7.11&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x2.5.7.11-Larry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Larry&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x2.5.7.11-Larry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Larry&lt;/h2&gt;
  Commas: 243/242, 4000/3993&lt;br /&gt;
  Commas: 243/242, 4000/3993&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Gravity%20family#Gravity"&gt;gravity&lt;/a&gt;, &lt;a class="wiki_link" href="/Gravity%20family#Harry"&gt;harry&lt;/a&gt;&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Gravity%20family#Gravity"&gt;gravity&lt;/a&gt;, &lt;a class="wiki_link" href="/Gravity%20family#Harry"&gt;harry&lt;/a&gt;&lt;br /&gt;
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Badness: 0.0125&lt;br /&gt;
Badness: 0.0125&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="x2.3.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;2.3.7.11&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="x2.3.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;2.3.7.11&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x2.3.7.11-Ennea"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Ennea&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x2.3.7.11-Ennea"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Ennea&lt;/h2&gt;
  Commas: 41503/41472, 43923/43904&lt;br /&gt;
  Commas: 41503/41472, 43923/43904&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.00426&lt;br /&gt;
Badness: 0.00426&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x2.3.7.11-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Supra&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x2.3.7.11-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Supra&lt;/h2&gt;
  Commas: 64/63, 99/98&lt;br /&gt;
  Commas: 64/63, 99/98&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.00933&lt;br /&gt;
Badness: 0.00933&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x2.3.7.11-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Skwares&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x2.3.7.11-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Skwares&lt;/h2&gt;
  Commas: 99/98, 243/242&lt;br /&gt;
  Commas: 99/98, 243/242&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.0107&lt;br /&gt;
Badness: 0.0107&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x2.3.7.11-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Hemif&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x2.3.7.11-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Hemif&lt;/h2&gt;
  Commas: 243/242, 896/891&lt;br /&gt;
  Commas: 243/242, 896/891&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.0109&lt;br /&gt;
Badness: 0.0109&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="x2.9.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;2.9.7.11&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="x2.9.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;2.9.7.11&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x2.9.7.11-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Machine&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x2.9.7.11-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Machine&lt;/h2&gt;
  Commas: 64/63, 99/98&lt;br /&gt;
  Commas: 64/63, 99/98&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.00233&lt;br /&gt;
Badness: 0.00233&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="x2.9.7.11-Apparatus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Apparatus&lt;/h2&gt;
  Commas: 41503/41472, 322102/321489&lt;br /&gt;
  Commas: 41503/41472, 322102/321489&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.00263&lt;br /&gt;
Badness: 0.00263&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="x2.9.7.11-Mechanism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Mechanism&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="x2.9.7.11-Mechanism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Mechanism&lt;/h2&gt;
  Commas: 896/891, 26411/26244&lt;br /&gt;
  Commas: 896/891, 26411/26244&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 16:15, 27 September 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author keenanpepper and made on 2011-09-27 16:15:06 UTC.
The original revision id was 258792022.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc|flat]]
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 [[Chromatic pairs]].

=2.3.7= 

==[[Semiphore and Godzilla|Semiphore]]== 
Comma: 49/48

POTE generator: ~8/7~7/6 = 250.385

Map: [<1 2 3|, <0 -2 -1|]
EDOs: 5, 19, 24

==I'd like a name for this please== 
Could be thought of as "no-5's [[dominant]]" or "no-5's [[superpyth]]"

Comma: 64/63

POTE generator: ~4/3 = 490.678

Map: [<1 2 2|, <0 -1 2|]
EDOs: 5, 12, 17, 22, 27

==[[Slendric]]== 
Comma: 1029/1024

POTE generator: ~8/7 = 233.688

Map: [<1 1 3|, <0 3 -1|]
EDOs: 5, 21, 26, 31, 36, 77, 113, 190
Badness: 0.00461

=2.3.11= 

==Name needed for this too== 
Could be thought of as 2.3.11 version of either [[mohajira]] or [[maqamic]]

Comma: 243/242

POTE generator: ~11/9 = 350.525

Map: [<1 1 2|, <0 2 5|]
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= 

==Larry== 
Commas: 243/242, 4000/3993
Related temperaments: [[Gravity family#Gravity|gravity]], [[Gravity family#Harry|harry]]

POTE generator: ~40/27 = 683.166

Map: [<1 5 12 12|, <0 -6 -17 -15|]
EDOs: 7, 58, 65, 137, 202
Badness: 0.0125

=2.3.7.11= 

==Ennea== 
Commas: 41503/41472, 43923/43904

POTE generator: ~99/98 = 17.6258

Sval map: [<9 0 11 24|, <0 2 2 1|]
EDOs: 54, 63, 72, 135, 342, 477, 1089, 1566
Badness: 0.00426

==Supra== 
Commas: 64/63, 99/98

[[POTE tuning|POTE generator]]: ~3/2 = 707.192

Sval map: [<1 0 6 13|, <0 1 -2 -6|]
EDOs: 5, 12, 17, 39, 56
Badness: 0.00933

==Skwares== 
Commas: 99/98, 243/242

POTE generator: ~9/7 = 425.244

Sval map: [<1 3 6 7|, <0 -4 -9 -10|]
EDOs: 14, 17, 31, 48, 79, 127, 206
Badness: 0.0107

==Hemif== 
Commas: 243/242, 896/891

POTE generator: ~11/9 = 351.535

Sval map: [<1 1 -1 2|, <0 2 13 5|]
EDOs: 7, 17, 41, 58, 99
Badness: 0.0109

=2.9.7.11= 

==Machine== 
Commas: 64/63, 99/98

[[POTE tuning|POTE generator]]: ~8/7 = 214.384

[[Smonzos and Svals|Sval map]]: [<1 0 6 13|, <0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
Badness: 0.00233

==Apparatus== 
Commas: 41503/41472, 322102/321489

[[POTE tuning|POTE generator]]: ~77/72 = 115.570

[[Smonzos and Svals|Sval map]]: [<1 5 3 5|, <0 -19 -2 -16|]
EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623
Badness: 0.00263

==Mechanism== 
Commas: 896/891, 26411/26244

[[POTE tuning|POTE generator]]: ~9/7 = 438.465

[[Smonzos and Svals|Sval map]]: [<1 5 5 2|, <0 -5 -6 4|]
EDOs: 8, 11, 30, 41, 52
Badness: 0.00439

Original HTML content:

<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: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 />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x2.3.7-Semiphore"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/Semiphore%20and%20Godzilla">Semiphore</a></h2>
 Comma: 49/48<br />
<br />
POTE generator: ~8/7~7/6 = 250.385<br />
<br />
Map: [&lt;1 2 3|, &lt;0 -2 -1|]<br />
EDOs: 5, 19, 24<br />
<br />
<!-- 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 />
<br />
Comma: 64/63<br />
<br />
POTE generator: ~4/3 = 490.678<br />
<br />
Map: [&lt;1 2 2|, &lt;0 -1 2|]<br />
EDOs: 5, 12, 17, 22, 27<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x2.3.7-Slendric"></a><!-- ws:end:WikiTextHeadingRule:6 --><a class="wiki_link" href="/Slendric">Slendric</a></h2>
 Comma: 1029/1024<br />
<br />
POTE generator: ~8/7 = 233.688<br />
<br />
Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
EDOs: 5, 21, 26, 31, 36, 77, 113, 190<br />
Badness: 0.00461<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>
 <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 />
Comma: 243/242<br />
<br />
POTE generator: ~11/9 = 350.525<br />
<br />
Map: [&lt;1 1 2|, &lt;0 2 5|]<br />
EDOs: 7, 10, 17, 24, 41, 65<br />
<br />
<!-- 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 />
<!-- 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 />
Related temperaments: <a class="wiki_link" href="/Gravity%20family#Gravity">gravity</a>, <a class="wiki_link" href="/Gravity%20family#Harry">harry</a><br />
<br />
POTE generator: ~40/27 = 683.166<br />
<br />
Map: [&lt;1 5 12 12|, &lt;0 -6 -17 -15|]<br />
EDOs: 7, 58, 65, 137, 202<br />
Badness: 0.0125<br />
<br />
<!-- 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 />
<!-- 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 />
<br />
POTE generator: ~99/98 = 17.6258<br />
<br />
Sval map: [&lt;9 0 11 24|, &lt;0 2 2 1|]<br />
EDOs: 54, 63, 72, 135, 342, 477, 1089, 1566<br />
Badness: 0.00426<br />
<br />
<!-- 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 />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 707.192<br />
<br />
Sval map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
EDOs: 5, 12, 17, 39, 56<br />
Badness: 0.00933<br />
<br />
<!-- 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 />
<br />
POTE generator: ~9/7 = 425.244<br />
<br />
Sval map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
EDOs: 14, 17, 31, 48, 79, 127, 206<br />
Badness: 0.0107<br />
<br />
<!-- 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 />
<br />
POTE generator: ~11/9 = 351.535<br />
<br />
Sval map: [&lt;1 1 -1 2|, &lt;0 2 13 5|]<br />
EDOs: 7, 17, 41, 58, 99<br />
Badness: 0.0109<br />
<br />
<!-- 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 />
<!-- 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 />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 214.384<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
EDOs: 5, 6, 11, 17, 28<br />
Badness: 0.00233<br />
<br />
<!-- 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 />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~77/72 = 115.570<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 5 3 5|, &lt;0 -19 -2 -16|]<br />
EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623<br />
Badness: 0.00263<br />
<br />
<!-- 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 />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 438.465<br />
<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 />
Badness: 0.00439</body></html>