Mirkwai family

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Revision as of 04:03, 29 September 2010 by Wikispaces>genewardsmith (**Imported revision 166305559 - Original comment: **)
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This revision was by author genewardsmith and made on 2010-09-29 04:03:56 UTC.
The original revision id was 166305559.
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:

===Vital statistics===
[[Comma]]: mirkwai 16875/16807

7-limit minimax
[|1 0 0 0>, |0 4/7 -4/7 5/7>, 
|0 -3/7 3/7 5/7>, |0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 6/5

9-limit minimax
[|1 0 0 0>, |0 8/11 -4/11 5/11>, 
|0 -6/11 3/11 10/11>, |0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 8/7

Map: [<1 0 0 0|, <0 1 3 3|, <0 0 -5 -4|]
[[Generator|Generators]]: 2, 3, 7/5
[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[193edo|193]], [[224edo|224]], [[296edo|296]], [[327edo|327]], [[775edo|775]]

==11-limit children==

===Indra===
[[Comma|Commas]]: 540/539, 1375/1372

[[Minimax tuning]]
[|1 0 0 0 0>, |10 10 -3 0 -5>, |0 0 1 0 0>, 
|6 6 -1 0 -3>, |20 18 -6 0 -9>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 5/4

Lattice basis: 15/14 length 0.6184 55/36 length 0.7585
Angle(15/14, 55/36) = 68.1048 cents
Map to lattice: [<0 2 1 2 3|, <0 -1 2 1 -3|]

Map: [<1 0 0 0 2|, <0 1 3 3 0|, <0 0 -5 -4 3|]
[[Generator|Generators]]: 2, 3, 7/5
[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]]

13-limit

====Yajna====
Commas: 540/539, 1375/1372, 625/624

====Shibi====
Commas: 540/539, 1375/1372, 729/728

====Vibhu====
Commas: 540/539, 1375/1372, 351/350

====Vish====
Commas: 540/539, 1375/1372, 325/324

Original HTML content:

<html><head><title>Mirkwai family</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3>
<a class="wiki_link" href="/Comma">Comma</a>: mirkwai 16875/16807<br />
<br />
7-limit minimax<br />
[|1 0 0 0&gt;, |0 4/7 -4/7 5/7&gt;, <br />
|0 -3/7 3/7 5/7&gt;, |0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 8/7, 6/5<br />
<br />
9-limit minimax<br />
[|1 0 0 0&gt;, |0 8/11 -4/11 5/11&gt;, <br />
|0 -6/11 3/11 10/11&gt;, |0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 8/7<br />
<br />
Map: [&lt;1 0 0 0|, &lt;0 1 3 3|, &lt;0 0 -5 -4|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 7/5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/193edo">193</a>, <a class="wiki_link" href="/224edo">224</a>, <a class="wiki_link" href="/296edo">296</a>, <a class="wiki_link" href="/327edo">327</a>, <a class="wiki_link" href="/775edo">775</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-11-limit children"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit children</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11-limit children-Indra"></a><!-- ws:end:WikiTextHeadingRule:4 -->Indra</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |10 10 -3 0 -5&gt;, |0 0 1 0 0&gt;, <br />
|6 6 -1 0 -3&gt;, |20 18 -6 0 -9&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9, 5/4<br />
<br />
Lattice basis: 15/14 length 0.6184 55/36 length 0.7585<br />
Angle(15/14, 55/36) = 68.1048 cents<br />
Map to lattice: [&lt;0 2 1 2 3|, &lt;0 -1 2 1 -3|]<br />
<br />
Map: [&lt;1 0 0 0 2|, &lt;0 1 3 3 0|, &lt;0 0 -5 -4 3|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 7/5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/224edo">224</a>, <a class="wiki_link" href="/296edo">296</a><br />
<br />
13-limit<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h4&gt; --><h4 id="toc3"><a name="x-11-limit children-Indra-Yajna"></a><!-- ws:end:WikiTextHeadingRule:6 -->Yajna</h4>
Commas: 540/539, 1375/1372, 625/624<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h4&gt; --><h4 id="toc4"><a name="x-11-limit children-Indra-Shibi"></a><!-- ws:end:WikiTextHeadingRule:8 -->Shibi</h4>
Commas: 540/539, 1375/1372, 729/728<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h4&gt; --><h4 id="toc5"><a name="x-11-limit children-Indra-Vibhu"></a><!-- ws:end:WikiTextHeadingRule:10 -->Vibhu</h4>
Commas: 540/539, 1375/1372, 351/350<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h4&gt; --><h4 id="toc6"><a name="x-11-limit children-Indra-Vish"></a><!-- ws:end:WikiTextHeadingRule:12 -->Vish</h4>
Commas: 540/539, 1375/1372, 325/324</body></html>