Kalismic temperaments

Revision as of 19:48, 3 May 2014 by Wikispaces>genewardsmith (**Imported revision 506253382 - Original comment: **)

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This revision was by author genewardsmith and made on 2014-05-03 19:48:46 UTC.
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Original Wikitext content:

[[toc|flat]]

These are rank three temperaments tempering out 9801/9800, but we can began by looking at the rank four temperament.

Comma: 9801/9800

Map: [<2 0 0 0 3|, <0 1 0 0 -2|, <0 0 1 0 1|, <0 0 0 1 1|]
Generators: 99/70, 3, 5, 7
EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254

=Odin=
Commas: 9801/9800, 151263/151250

Map: [<6 0 0 8 17|, <0 1 0 -2 -4|, <0 0 1 2 3|]
Generators: 55/49, 3, 5
EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464
Badness: 0.000116

=Loki= 
Commas: 5632/5625, 9801/9800

Map: [<2 0 0 -21 -18|, <0 1 0 4 2|, <0 0 1 3 4|]
Generators: 99/70, 3, 5
EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092
Badness: 0.000493

Original HTML content:

<html><head><title>Kalismic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:4:&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:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#Odin">Odin</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> | <a href="#Loki">Loki</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: -->
<!-- ws:end:WikiTextTocRule:7 --><br />
These are rank three temperaments tempering out 9801/9800, but we can began by looking at the rank four temperament.<br />
<br />
Comma: 9801/9800<br />
<br />
Map: [&lt;2 0 0 0 3|, &lt;0 1 0 0 -2|, &lt;0 0 1 0 1|, &lt;0 0 0 1 1|]<br />
Generators: 99/70, 3, 5, 7<br />
EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Odin"></a><!-- ws:end:WikiTextHeadingRule:0 -->Odin</h1>
Commas: 9801/9800, 151263/151250<br />
<br />
Map: [&lt;6 0 0 8 17|, &lt;0 1 0 -2 -4|, &lt;0 0 1 2 3|]<br />
Generators: 55/49, 3, 5<br />
EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464<br />
Badness: 0.000116<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Loki"></a><!-- ws:end:WikiTextHeadingRule:2 -->Loki</h1>
 Commas: 5632/5625, 9801/9800<br />
<br />
Map: [&lt;2 0 0 -21 -18|, &lt;0 1 0 4 2|, &lt;0 0 1 3 4|]<br />
Generators: 99/70, 3, 5<br />
EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092<br />
Badness: 0.000493</body></html>