Hemimage family

Revision as of 04:26, 2 January 2011 by Wikispaces>genewardsmith (**Imported revision 190465040 - Original comment: **)

IMPORTED REVISION FROM WIKISPACES

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This revision was by author genewardsmith and made on 2011-01-02 04:26:43 UTC.
The original revision id was 190465040.
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]]: hemimage 10976/10935

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

9-limit minimax
[|1 0 0 0>, |5/9 2/9 -1/9 1/3>, 
|10/9 -14/9 7/9 2/3>, |0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 8/7

Map: [<1 0 2 -1|, <0 1 2 3|, <0 0 -3 -1|]
[[Generator|Generators]]: 2, 3, 27/14
[[edo|Edos]]: 14, 19, 41, 58, 77, 80, [[99edo|99]], [[118edo|118]], [[140edo|140]], [[217edo|217]], [[316edo|316]], [[338edo|338]], [[357edo|357]], [[415edo|415]], [[456edo|456]], [[654edo|654]], [[695edo|695]]
Badness: 0.000199

==Uni==
[[Comma|Commas]]: 540/539, 896/891

[[Minimax tuning]]
[|1 0 0 0 0>, |16/11 6/11 1/11 0 -3/11>, 
|0 0 1 0 0>, |19/11 14/11 6/11 0 -7/11>, 
|32/11 -10/11 2/11 0 5/11>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 5/4

Map: [<1 0 2 -1 6|, <0 1 2 3 -1|, <0 0 -3 -1 -1|]
[[Generator|Generators]]: 2, 3, 27/14
[[edo|Edos]]: [[19edo|19]], [[22edo|22]], [[41edo|41]], [[58edo|58]], [[80edo|80]], [[121edo|121]]
Badness: 0.000702

===13-limit===
Commas: 352/351, 364/363, 540/539

Map: [<1 0 2 -1 6 11|, <0 1 2 3 -1 -4|, <0 0 -3 -1 -1 -1|]
EDOs: 22, 41, 58, 80, 121
Badness: 0.00106

===Tin===
Commas: 144/143, 196/195, 729/728

Map: [<1 0 2 -1 6 -2|, <0 1 2 3 -1 3|, <0 0 -3 -1 -1 1|]
EDOs: 19, 36, 41, 58
Badness: 0.00107

==Turan==
[[Comma|Commas]]: 10976/10935, 441/440

[[Minimax tuning]]
[|1 0 0 0 0>, |19/12 -2/3 1/12 0 1/4>, 
|19/6 -10/3 7/6 0 1/2>, 
|37/12 -8/3 7/12 0 3/4>, 
|19/6 -10/3 1/6 0 3/2>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9

Map: [<1 0 2 -1 -7|, <0 1 2 3 6|, <0 0 -3 -1 1|]
[[Generator|Generators]]: 2, 3, 27/14
[[edo|Edos]]: [[41edo|41]], [[58edo|58]], [[118edo|118]], [[159edo|159]], [[217edo|217]], [[335edo|335]]
Badness: 0.000936

Original HTML content:

<html><head><title>Hemimage 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>: hemimage 10976/10935<br />
<br />
7-limit minimax<br />
[|1 0 0 0&gt;, |5/8 1/8 -1/8 3/8&gt;, <br />
|5/8 -7/8 7/8 3/8&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;, |5/9 2/9 -1/9 1/3&gt;, <br />
|10/9 -14/9 7/9 2/3&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 2 -1|, &lt;0 1 2 3|, &lt;0 0 -3 -1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 27/14<br />
<a class="wiki_link" href="/edo">Edos</a>: 14, 19, 41, 58, 77, 80, <a class="wiki_link" href="/99edo">99</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/140edo">140</a>, <a class="wiki_link" href="/217edo">217</a>, <a class="wiki_link" href="/316edo">316</a>, <a class="wiki_link" href="/338edo">338</a>, <a class="wiki_link" href="/357edo">357</a>, <a class="wiki_link" href="/415edo">415</a>, <a class="wiki_link" href="/456edo">456</a>, <a class="wiki_link" href="/654edo">654</a>, <a class="wiki_link" href="/695edo">695</a><br />
Badness: 0.000199<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Uni"></a><!-- ws:end:WikiTextHeadingRule:2 -->Uni</h2>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 896/891<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |16/11 6/11 1/11 0 -3/11&gt;, <br />
|0 0 1 0 0&gt;, |19/11 14/11 6/11 0 -7/11&gt;, <br />
|32/11 -10/11 2/11 0 5/11&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9, 5/4<br />
<br />
Map: [&lt;1 0 2 -1 6|, &lt;0 1 2 3 -1|, &lt;0 0 -3 -1 -1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 27/14<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/121edo">121</a><br />
Badness: 0.000702<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Uni-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h3>
Commas: 352/351, 364/363, 540/539<br />
<br />
Map: [&lt;1 0 2 -1 6 11|, &lt;0 1 2 3 -1 -4|, &lt;0 0 -3 -1 -1 -1|]<br />
EDOs: 22, 41, 58, 80, 121<br />
Badness: 0.00106<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-Uni-Tin"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tin</h3>
Commas: 144/143, 196/195, 729/728<br />
<br />
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 1 2 3 -1 3|, &lt;0 0 -3 -1 -1 1|]<br />
EDOs: 19, 36, 41, 58<br />
Badness: 0.00107<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-Turan"></a><!-- ws:end:WikiTextHeadingRule:8 -->Turan</h2>
<a class="wiki_link" href="/Comma">Commas</a>: 10976/10935, 441/440<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |19/12 -2/3 1/12 0 1/4&gt;, <br />
|19/6 -10/3 7/6 0 1/2&gt;, <br />
|37/12 -8/3 7/12 0 3/4&gt;, <br />
|19/6 -10/3 1/6 0 3/2&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 11/9<br />
<br />
Map: [&lt;1 0 2 -1 -7|, &lt;0 1 2 3 6|, &lt;0 0 -3 -1 1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 27/14<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a>, <a class="wiki_link" href="/217edo">217</a>, <a class="wiki_link" href="/335edo">335</a><br />
Badness: 0.000936</body></html>