Subgroup temperaments: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 490847064 - Original comment: **
Wikispaces>mbattaglia1
**Imported revision 580987743 - 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>2014-02-20 16:41:53 UTC</tt>.<br>
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2016-04-23 15:10:24 UTC</tt>.<br>
: The original revision id was <tt>490847064</tt>.<br>
: The original revision id was <tt>580987743</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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[[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents


==Lee==
==Lee==  
Comma: 177147/175616
Comma: 177147/175616


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[[Tp tuning#T2%20tuning|RMS error]]: 0.3519 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.3519 cents


==Skwares==
==Skwares==  
Comma: 19683/19208
Comma: 19683/19208


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=2.3.11=  
=2.3.11=  


==Neutraltet==  
==Neutral==  
Neutraltet can be thought of as 2.3.11 version of either [[mohajira]] or [[maqamic]], and is the temperament optimizing the [[neutral tetrad]].
Neutral can be thought of as 2.3.11 version of either [[mohajira]] or [[maqamic]], as well as suhajira (further down on this page) and ringo. Among other things, it is the temperament optimizing the [[neutral tetrad]].


Comma: 243/242
Comma: 243/242
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[[Tp tuning#T2%20tuning|RMS error]]: 0.6108 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.6108 cents


==Bleu==
==Bleu==  
Commas: 99/98, 864/847
Commas: 99/98, 864/847


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=2.3.7.11.13=  
=2.3.7.11.13=  


==Suhajira==
==Suhajira==  
Commas: 64/63, 78/77, 144/143
Commas: 64/63, 78/77, 144/143


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[[Tp tuning#T2%20tuning|RMS error]]: 0.7167 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.7167 cents


==Skwares==
==Skwares==  
Commas: 78/77, 99/98, 243/242
Commas: 78/77, 99/98, 243/242


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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x2.3.7-Lee"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Lee&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x2.3.7-Lee"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Lee&lt;/h2&gt;
Comma: 177147/175616&lt;br /&gt;
Comma: 177147/175616&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~81/56 = 633.525&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~81/56 = 633.525&lt;br /&gt;
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&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="x2.3.7-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Skwares&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x2.3.7-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Skwares&lt;/h2&gt;
Comma: 19683/19208&lt;br /&gt;
Comma: 19683/19208&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 425.365 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 425.365 cents&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x2.3.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;2.3.11&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x2.3.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;2.3.11&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="x2.3.11-Neutraltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Neutraltet&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x2.3.11-Neutral"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Neutral&lt;/h2&gt;
  Neutraltet can 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;, and is the temperament optimizing the &lt;a class="wiki_link" href="/neutral%20tetrad"&gt;neutral tetrad&lt;/a&gt;.&lt;br /&gt;
  Neutral can 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;, as well as suhajira (further down on this page) and ringo. Among other things, it is the temperament optimizing the &lt;a class="wiki_link" href="/neutral%20tetrad"&gt;neutral tetrad&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Comma: 243/242&lt;br /&gt;
Comma: 243/242&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x2.3.7.11-Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Bleu&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x2.3.7.11-Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Bleu&lt;/h2&gt;
Commas: 99/98, 864/847&lt;br /&gt;
Commas: 99/98, 864/847&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 140.005&lt;br /&gt;
POTE generator: ~12/11 = 140.005&lt;br /&gt;
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  &lt;br /&gt;
  &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="x2.3.7.11.13-Suhajira"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Suhajira&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="x2.3.7.11.13-Suhajira"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Suhajira&lt;/h2&gt;
Commas: 64/63, 78/77, 144/143&lt;br /&gt;
Commas: 64/63, 78/77, 144/143&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Gencom: [2 11/9; 64/63 78/77 144/143]&lt;br /&gt;
Gencom: [2 11/9; 64/63 78/77 144/143]&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="x2.3.7.11.13-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Skwares&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="x2.3.7.11.13-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Skwares&lt;/h2&gt;
Commas: 78/77, 99/98, 243/242&lt;br /&gt;
Commas: 78/77, 99/98, 243/242&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/7 = 424.457&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/7 = 424.457&lt;br /&gt;