Sensamagic family: Difference between revisions

Revision as of 14:46, 2 January 2011

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This revision was by author genewardsmith and made on 2011-01-02 14:46:16 UTC.

The original revision id was 190500438.

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

Original Wikitext content:

Comma: 245/243

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

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

Lattice basis: 3/2 0.9644 9/7 1.0807
Angle(3/2, 9/7) = 86.5288
Map to lattice: [<0 1 1 2|, <0 0 2 -1|]

Map: [<1 0 0 0|, <0 1 1 2|, <0 0 2 -1|]
Generators: 2, 3, 9/7
Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237
Badness: 0.000129

===[[Minkowski blocks]]===
{2, 3, 7} subgroup

12: 729/686, 64/63
17: 64/63, 19683/19208
19: 49/48, 177147/175616
22: 64/63, 537824/531441
24: 64/63, 15059072/14348907

==Unidecimal sensamagic==
Commas: 245/243, 385/384

11-limit minimax
[|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>, 
|35/13 10/13 7/13 -7/13 -5/13>, 
|35/13 10/13 -6/13 6/13 -5/13>, 
|42/13 -14/13 -2/13 2/13 7/13>]
Eigenmonzos: 2, 11/9, 7/5

Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|]
Generators: 2, 3, 9/7
EDOs: 5, 17, 19, 22, 41, 68, 87, 196, 283
Badness: 0.000722

==13-limit==
Commas: 245/243, 352/351, 385/384

Map: [<1 0 0 0 7 12|, <0 1 1 2 -2 -5|, <0 0 2 -1 -1 -1|]
Generators: 2, 3, 9/7
EDOs: 17, 22, 41, 46, 63, 87, 237, 283
Badness: 0.00120

Original HTML content:

<html><head><title>Sensamagic family</title></head><body>Comma: 245/243<br />
<br />
7-limit minimax<br />
[|1 0 0 0&gt;, |0 0 1/5 2/5&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]<br />
Eigenmonzos: 2, 8/7, 5/4<br />
<br />
9-limit minimax<br />
[|1 0 0 0&gt;, |0 1 0 0&gt;, |0 5/3 2/3 -2/3&gt;, |0 5/3 -1/3 1/3&gt;]<br />
Eigenmonzos: 2, 4/3, 7/5 <br />
<br />
Lattice basis: 3/2 0.9644 9/7 1.0807<br />
Angle(3/2, 9/7) = 86.5288<br />
Map to lattice: [&lt;0 1 1 2|, &lt;0 0 2 -1|]<br />
<br />
Map: [&lt;1 0 0 0|, &lt;0 1 1 2|, &lt;0 0 2 -1|]<br />
Generators: 2, 3, 9/7<br />
Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237<br />
Badness: 0.000129<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:0 --><a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a></h3>
{2, 3, 7} subgroup<br />
<br />
12: 729/686, 64/63<br />
17: 64/63, 19683/19208<br />
19: 49/48, 177147/175616<br />
22: 64/63, 537824/531441<br />
24: 64/63, 15059072/14348907<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Unidecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:2 -->Unidecimal sensamagic</h2>
Commas: 245/243, 385/384<br />
<br />
11-limit minimax<br />
[|1 0 0 0 0&gt;, |21/13 6/13 -1/13 1/13 -3/13&gt;, <br />
|35/13 10/13 7/13 -7/13 -5/13&gt;, <br />
|35/13 10/13 -6/13 6/13 -5/13&gt;, <br />
|42/13 -14/13 -2/13 2/13 7/13&gt;]<br />
Eigenmonzos: 2, 11/9, 7/5<br />
<br />
Map: [&lt;1 0 0 0 7|, &lt;0 1 1 2 -2|, &lt;0 0 2 -1 -1|]<br />
Generators: 2, 3, 9/7<br />
EDOs: 5, 17, 19, 22, 41, 68, 87, 196, 283<br />
Badness: 0.000722<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
Commas: 245/243, 352/351, 385/384<br />
<br />
Map: [&lt;1 0 0 0 7 12|, &lt;0 1 1 2 -2 -5|, &lt;0 0 2 -1 -1 -1|]<br />
Generators: 2, 3, 9/7<br />
EDOs: 17, 22, 41, 46, 63, 87, 237, 283<br />
Badness: 0.00120</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2010-12-31 15:05:08 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-02 14:46:16 UTC</tt>.<br>
-: The original revision id was <tt>190368154</tt>.<br>
+: The original revision id was <tt>190500438</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>
@@ Line 23: / Line 23: @@
 Generators: 2, 3, 9/7
 Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237
+Badness: 0.000129
 ===[[Minkowski blocks]]===
@@ Line 46: / Line 47: @@
 Generators: 2, 3, 9/7
 EDOs: 5, 17, 19, 22, 41, 68, 87, 196, 283
+Badness: 0.000722
 ==13-limit==
@@ Line 52: / Line 54: @@
 Map: [&lt;1 0 0 0 7 12|, &lt;0 1 1 2 -2 -5|, &lt;0 0 2 -1 -1 -1|]
 Generators: 2, 3, 9/7
-EDOs: 17, 22, 41, 46, 63, 87, 237, 283</pre></div>
+EDOs: 17, 22, 41, 46, 63, 87, 237, 283
+Badness: 0.00120</pre></div>
 <h4>Original HTML content:</h4>
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Sensamagic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comma: 245/243&lt;br /&gt;
@@ Line 71: / Line 74: @@
 Generators: 2, 3, 9/7&lt;br /&gt;
 Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237&lt;br /&gt;
+Badness: 0.000129&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Minkowski blocks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;a class="wiki_link" href="/Minkowski%20blocks"&gt;Minkowski blocks&lt;/a&gt;&lt;/h3&gt;
@@ Line 94: / Line 98: @@
 Generators: 2, 3, 9/7&lt;br /&gt;
 EDOs: 5, 17, 19, 22, 41, 68, 87, 196, 283&lt;br /&gt;
+Badness: 0.000722&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-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
@@ Line 100: / Line 105: @@
 Map: [&amp;lt;1 0 0 0 7 12|, &amp;lt;0 1 1 2 -2 -5|, &amp;lt;0 0 2 -1 -1 -1|]&lt;br /&gt;
 Generators: 2, 3, 9/7&lt;br /&gt;
-EDOs: 17, 22, 41, 46, 63, 87, 237, 283&lt;/body&gt;&lt;/html&gt;</pre></div>
+EDOs: 17, 22, 41, 46, 63, 87, 237, 283&lt;br /&gt;
+Badness: 0.00120&lt;/body&gt;&lt;/html&gt;</pre></div>

Sensamagic family: Difference between revisions

Revision as of 14:46, 2 January 2011

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