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Catalog of rank-4 temperaments

Revision as of 05:12, 6 October 2010 by Wikispaces>genewardsmith (**Imported revision 168202661 - Original comment: **)

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Original Wikitext content:

==Commas 9801/9800, 1716/1715==

13 and 15 limit minimax
[|1 0 0 0 0 0>, |7/10 4/5 0 -2/5 0 1/5>, 
|7/10 -1/5 1 -2/5 0 1/5>, |7/5 -2/5 0 1/5 0 2/5>, 
|11/5 -11/5 1 3/5 0 1/5>, |0 0 0 0 0 1>]
Eigenmonzos: 2, 6/5, 16/13, 9/7

Lattice basis: 3/2 length 1.1956 7/4 length 1.4506 14/13 1.8299

Map: [<2 0 0 0 3 -7|, <0 1 0 0 -2 1|, 
<0 0 1 0 1 0|, <0 0 0 1 1 2|]
Generators: 99/70, 3, 5, 7
Edos: 26, 36, 46, 58, 68, 72, 84, 94, 130, 140, 166, 198, 224, 270, 494, 764, 1186, 1892

Original HTML content:

<html><head><title>Rank four temperaments</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Commas 9801/9800, 1716/1715"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commas 9801/9800, 1716/1715</h2>
<br />
13 and 15 limit minimax<br />
[|1 0 0 0 0 0&gt;, |7/10 4/5 0 -2/5 0 1/5&gt;, <br />
|7/10 -1/5 1 -2/5 0 1/5&gt;, |7/5 -2/5 0 1/5 0 2/5&gt;, <br />
|11/5 -11/5 1 3/5 0 1/5&gt;, |0 0 0 0 0 1&gt;]<br />
Eigenmonzos: 2, 6/5, 16/13, 9/7<br />
<br />
Lattice basis: 3/2 length 1.1956 7/4 length 1.4506 14/13 1.8299<br />
<br />
Map: [&lt;2 0 0 0 3 -7|, &lt;0 1 0 0 -2 1|, <br />
&lt;0 0 1 0 1 0|, &lt;0 0 0 1 1 2|]<br />
Generators: 99/70, 3, 5, 7<br />
Edos: 26, 36, 46, 58, 68, 72, 84, 94, 130, 140, 166, 198, 224, 270, 494, 764, 1186, 1892</body></html>
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