Catalog of rank-4 temperaments: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 168437071 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 168500757 - 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>2010-10-06 18:25:35 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-06 22:53:04 UTC</tt>.<br>
: The original revision id was <tt>168437071</tt>.<br>
: The original revision id was <tt>168500757</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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Edos: 15, 23, 26, 29, 41, 43, 46, 58, 113, 130, 159, 217, 289, 393
Edos: 15, 23, 26, 29, 41, 43, 46, 58, 113, 130, 159, 217, 289, 393


===Commas 441/440, 351/350===


==385/384==
===Commas 385/384, 325/324===
13 and 15 limit minimax
[&lt;1 0 0 0 0 0|, &lt;0 1 0 0 0 0|,
&lt;2/3 4/3 1/3 0 0 -1/3|,
&lt;19/6 -1/6 -1/6 1/2 -1/2 1/6|,
&lt;19/6 -1/6 -1/6 -1/2 1/2 1/6|,
&lt;2/3 4/3 -2/3 0 0 2/3|]
Eigenmonzos: 2, 14/11, 13/10, 4/3
Lattice basis: 4/3 1.0820 6/5 1.3935 10/9 1.6247
Map: [&lt;1 0 0 0 7 2|, &lt;0 1 0 0 1 4|,
&lt;0 0 1 0 -1 -2|, &lt;0 0 0 1 -1 0|]
Generators: 2, 3, 5, 7
Edos: 7, 8, 15, 19, 26, 34, 41, 46, 53, 68, 72, 79, 87, 94, 99, 113, 140, 159, 212, 253
==9801/9800==
==9801/9800==


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Edos: 15, 23, 26, 29, 41, 43, 46, 58, 113, 130, 159, 217, 289, 393&lt;br /&gt;
Edos: 15, 23, 26, 29, 41, 43, 46, 58, 113, 130, 159, 217, 289, 393&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-441/440-Commas 441/440, 351/350"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Commas 441/440, 351/350&lt;/h3&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-385/384"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;385/384&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-385/384-Commas 385/384, 325/324"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Commas 385/384, 325/324&lt;/h3&gt;
&lt;br /&gt;
13 and 15 limit minimax&lt;br /&gt;
[&amp;lt;1 0 0 0 0 0|, &amp;lt;0 1 0 0 0 0|, &lt;br /&gt;
&amp;lt;2/3 4/3 1/3 0 0 -1/3|, &lt;br /&gt;
&amp;lt;19/6 -1/6 -1/6 1/2 -1/2 1/6|, &lt;br /&gt;
&amp;lt;19/6 -1/6 -1/6 -1/2 1/2 1/6|, &lt;br /&gt;
&amp;lt;2/3 4/3 -2/3 0 0 2/3|]&lt;br /&gt;
Eigenmonzos: 2, 14/11, 13/10, 4/3&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 4/3 1.0820 6/5 1.3935 10/9 1.6247&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-9801/9800"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;9801/9800&lt;/h2&gt;
Map: [&amp;lt;1 0 0 0 7 2|, &amp;lt;0 1 0 0 1 4|, &lt;br /&gt;
&amp;lt;0 0 1 0 -1 -2|, &amp;lt;0 0 0 1 -1 0|]&lt;br /&gt;
Generators: 2, 3, 5, 7&lt;br /&gt;
Edos: 7, 8, 15, 19, 26, 34, 41, 46, 53, 68, 72, 79, 87, 94, 99, 113, 140, 159, 212, 253&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-9801/9800"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;9801/9800&lt;/h2&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-9801/9800-Commas 2080/2079, 1716/1715"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Commas 2080/2079, 1716/1715&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-9801/9800-Commas 2080/2079, 1716/1715"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Commas 2080/2079, 1716/1715&lt;/h3&gt;
&lt;br /&gt;
&lt;br /&gt;
13 and 15 limit minimax&lt;br /&gt;
13 and 15 limit minimax&lt;br /&gt;