Porcupine rank three family

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Revision as of 01:02, 13 January 2012 by Wikispaces>genewardsmith (**Imported revision 291887545 - Original comment: **)
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This revision was by author genewardsmith and made on 2012-01-13 01:02:52 UTC.
The original revision id was 291887545.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. 

==Sonic==
Commas: 55/54, 100/99

Map: [<1 2 3 0 4|, <0 -3 -5 0 -4|, <0 0 0 1 0|]
Generators: ~10/9 = 164.078, ~7 = 3367.841
EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce
Badness: 0.000523

==Tikal==
Commas: 56/55, 250/243

Map: [<1 2 3 0 0], <0 -3 -5 0 5|, <0 0 0 1 1|]
POTE generators: ~10/9 = 161.519, ~7 = 3371.046
EDOs: 15, 37e, 52be
Badness: 0.001973

Original HTML content:

<html><head><title>Porcupine rank three family</title></head><body>These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. <br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Sonic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sonic</h2>
Commas: 55/54, 100/99<br />
<br />
Map: [&lt;1 2 3 0 4|, &lt;0 -3 -5 0 -4|, &lt;0 0 0 1 0|]<br />
Generators: ~10/9 = 164.078, ~7 = 3367.841<br />
EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce<br />
Badness: 0.000523<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Tikal"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tikal</h2>
Commas: 56/55, 250/243<br />
<br />
Map: [&lt;1 2 3 0 0], &lt;0 -3 -5 0 5|, &lt;0 0 0 1 1|]<br />
POTE generators: ~10/9 = 161.519, ~7 = 3371.046<br />
EDOs: 15, 37e, 52be<br />
Badness: 0.001973</body></html>
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