Lehmerismic temperaments: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 203033778 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 277502570 - 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>2011-02-18 07:00:37 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-20 20:30:02 UTC</tt>.<br>
: The original revision id was <tt>203033778</tt>.<br>
: The original revision id was <tt>277502570</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament.
<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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
 
These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament.


Comma: 3025/3024
Comma: 3025/3024
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EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554
EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554


==Tyr==
=Tyr=
Commas: 3025/3024, 102487/102400
Commas: 3025/3024, 102487/102400


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Badness: 0.000259
Badness: 0.000259


==Skadi==
=Skadi=
Commas: 3025/3024, 703125/702464
Commas: 3025/3024, 703125/702464


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Badness: 0.000349
Badness: 0.000349


==Ganesha==
=Ganesha=
Commas: 3025/3024, 5632/5625
Commas: 3025/3024, 5632/5625


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Generators: 2, 3, 5
Generators: 2, 3, 5
EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502
EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502
Badness: 0.000390</pre></div>
Badness: 0.000390
 
=Hanuman=
Commas: 4000/3993, 3025/3024
 
Map: [&lt;1 2 0 -8 1|, &lt;0 -3 0 11 1|, &lt;0 0 1 4 1|]
Generators: 2, 11/10, 5
EDOs: 15, 57, 72, 152, 224, 311, 463, 535, 998, 1533ce, 2307ce, 2531cde, 2842bce
Badness: 0.000500
 
==13-limit==
Commas: 625/624, 1575/1573, 2080/2079
 
Map: [&lt;1 2 0 -8 1 -6|, &lt;0 -3 0 11 1 3|, &lt;0 0 1 4 1 4|]
Generators: 2, 11/10, 5
EDOs: 15, 72, 87, 137, 159, 224, 311, 535, 918c, 1142c, 1453c
Badness: 0.000653</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;Lehmerismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament.&lt;br /&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;Lehmerismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:10:&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:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;a href="#Tyr"&gt;Tyr&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt; | &lt;a href="#Skadi"&gt;Skadi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt; | &lt;a href="#Ganesha"&gt;Ganesha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#Hanuman"&gt;Hanuman&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;
&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;br /&gt;
These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Comma: 3025/3024&lt;br /&gt;
Comma: 3025/3024&lt;br /&gt;
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EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554&lt;br /&gt;
EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Tyr"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Tyr&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Tyr"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Tyr&lt;/h1&gt;
Commas: 3025/3024, 102487/102400&lt;br /&gt;
Commas: 3025/3024, 102487/102400&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.000259&lt;br /&gt;
Badness: 0.000259&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Skadi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Skadi&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Skadi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Skadi&lt;/h1&gt;
Commas: 3025/3024, 703125/702464&lt;br /&gt;
Commas: 3025/3024, 703125/702464&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.000349&lt;br /&gt;
Badness: 0.000349&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Ganesha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Ganesha&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Ganesha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Ganesha&lt;/h1&gt;
Commas: 3025/3024, 5632/5625&lt;br /&gt;
Commas: 3025/3024, 5632/5625&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Generators: 2, 3, 5&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502&lt;br /&gt;
EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502&lt;br /&gt;
Badness: 0.000390&lt;/body&gt;&lt;/html&gt;</pre></div>
Badness: 0.000390&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Hanuman"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hanuman&lt;/h1&gt;
Commas: 4000/3993, 3025/3024&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 0 -8 1|, &amp;lt;0 -3 0 11 1|, &amp;lt;0 0 1 4 1|]&lt;br /&gt;
Generators: 2, 11/10, 5&lt;br /&gt;
EDOs: 15, 57, 72, 152, 224, 311, 463, 535, 998, 1533ce, 2307ce, 2531cde, 2842bce&lt;br /&gt;
Badness: 0.000500&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="Hanuman-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;13-limit&lt;/h2&gt;
Commas: 625/624, 1575/1573, 2080/2079&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 0 -8 1 -6|, &amp;lt;0 -3 0 11 1 3|, &amp;lt;0 0 1 4 1 4|]&lt;br /&gt;
Generators: 2, 11/10, 5&lt;br /&gt;
EDOs: 15, 72, 87, 137, 159, 224, 311, 535, 918c, 1142c, 1453c&lt;br /&gt;
Badness: 0.000653&lt;/body&gt;&lt;/html&gt;</pre></div>