Sensamagic family: Difference between revisions

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**Imported revision 302674562 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 302676756 - Original comment: **
Line 1: Line 1:
<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>2012-02-17 02:57:57 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-17 03:19:47 UTC</tt>.<br>
: The original revision id was <tt>302674562</tt>.<br>
: The original revision id was <tt>302676756</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>
Line 91: Line 91:
EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc
EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc
Badness: 0.000877
Badness: 0.000877
==Shrusic==
Commas: 91/90, 176/175, 245/243
Map: [&lt;1 0 0 0 -4 1|, &lt;0 1 1 2 4 1|, &lt;0 0 2 -1 3 3|]
EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf
Badness: 0.001125
</pre></div>
</pre></div>
<h4>Original HTML content:</h4>
<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;&lt;!-- ws:start:WikiTextTocRule:16:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensamagic"&gt;Sensamagic&lt;/a&gt;&lt;/div&gt;
<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;&lt;!-- ws:start:WikiTextTocRule:18:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensamagic"&gt;Sensamagic&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Sensamagic--Minkowski blocks"&gt;Minkowski blocks&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Sensamagic--Minkowski blocks"&gt;Minkowski blocks&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensamagic-Undecimal sensamagic"&gt;Undecimal sensamagic&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensamagic-Undecimal sensamagic"&gt;Undecimal sensamagic&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensamagic-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensamagic-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensawer"&gt;Sensawer&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensawer"&gt;Sensawer&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensawer-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensawer-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Octarod"&gt;Octarod&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Octarod"&gt;Octarod&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Shrusus"&gt;Shrusus&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Shrusus"&gt;Shrusus&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Shrusus-Shrusic"&gt;Shrusic&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Sensamagic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sensamagic&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Sensamagic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sensamagic&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 245/243&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 245/243&lt;br /&gt;
Line 185: Line 193:
Map: [&amp;lt;1 0 0 0 -4|, &amp;lt;0 1 1 2 4|, &amp;lt;0 0 2 -1 3|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 0 -4|, &amp;lt;0 1 1 2 4|, &amp;lt;0 0 2 -1 3|]&lt;br /&gt;
EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc&lt;br /&gt;
EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc&lt;br /&gt;
Badness: 0.000877&lt;/body&gt;&lt;/html&gt;</pre></div>
Badness: 0.000877&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Shrusus-Shrusic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Shrusic&lt;/h2&gt;
Commas: 91/90, 176/175, 245/243&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 0 -4 1|, &amp;lt;0 1 1 2 4 1|, &amp;lt;0 0 2 -1 3 3|]&lt;br /&gt;
EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf&lt;br /&gt;
Badness: 0.001125&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 03:19, 17 February 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-02-17 03:19:47 UTC.
The original revision id was 302676756.
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:

[[toc]]

=Sensamagic=
[[Comma]]: 245/243

[[7-limit]] [[minimax]]
[|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]
[[Eigenmonzo]]s: 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: [[17edo|,17]] [[19edo|19]], [[22edo|22]], [[24edo|24]], [[27edo|27]], [[41edo|41]], [[46edo|46]], [[60edo|60]], [[68edo|68]], [[87edo|87]], [[109edo|109]], [[128edo|128]], [[169edo|169]], [[177edo|177]], [[237edo|237]]
[[Badness]]: 0.000129

[[Projection pair]]: 5 243/49 to 2.3.7

===[[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

==Undecimal 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: [[5edo|5]], 17, 19, 22, 41, 68, 87, [[196edo|196]], [[283edo|283]], 607bd, 694bd
Badness: 0.000722

Projection pairs: 5 243/49 11 896/81 to 2.3.7

==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, 324d, 370bd, 411bd, 607bd, 694bd
Badness: 0.00120

=Sensawer=
Commas: 245/243, 441/440

Map: [<1 0 0 0 -3|, <0 1 1 2 5|, <0 0 2 -1 -4|]
EDOs: 41, 87, 302d, 389d, 476bd
Badness: 0.000796

==13-limit==
Commas: 196/195, 245/243, 352/351

Map: [<1 0 0 0 -3 2|, <0 1 1 2 5 2|, <0 0 2 -1 -4 -4|]
EDOs: 41, 46, 87, 522bd
Badness: 0.000928

=Octarod=
Commas: 100/99, 245/243

Map: [<1 0 0 0 2|, <0 1 1 2 0|, <0 0 2 -1 4|]
EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e 
Badness: 0.000581

=Shrusus=
Commas: 176/175, 245/243

Map: [<1 0 0 0 -4|, <0 1 1 2 4|, <0 0 2 -1 3|]
EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc
Badness: 0.000877

==Shrusic==
Commas: 91/90, 176/175, 245/243

Map: [<1 0 0 0 -4 1|, <0 1 1 2 4 1|, <0 0 2 -1 3 3|]
EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf
Badness: 0.001125

Original HTML content:

<html><head><title>Sensamagic family</title></head><body><!-- ws:start:WikiTextTocRule:18:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><div style="margin-left: 1em;"><a href="#Sensamagic">Sensamagic</a></div>
<!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><div style="margin-left: 3em;"><a href="#Sensamagic--Minkowski blocks">Minkowski blocks</a></div>
<!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><div style="margin-left: 2em;"><a href="#Sensamagic-Undecimal sensamagic">Undecimal sensamagic</a></div>
<!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><div style="margin-left: 2em;"><a href="#Sensamagic-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 1em;"><a href="#Sensawer">Sensawer</a></div>
<!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 2em;"><a href="#Sensawer-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#Octarod">Octarod</a></div>
<!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="#Shrusus">Shrusus</a></div>
<!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 2em;"><a href="#Shrusus-Shrusic">Shrusic</a></div>
<!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --></div>
<!-- ws:end:WikiTextTocRule:28 --><br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Sensamagic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensamagic</h1>
<a class="wiki_link" href="/Comma">Comma</a>: 245/243<br />
<br />
<a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/minimax">minimax</a><br />
[|1 0 0 0&gt;, |0 0 1/5 2/5&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzo</a>s: 2, 8/7, 5/4<br />
<br />
<a class="wiki_link" href="/9-limit">9-limit</a> 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: <a class="wiki_link" href="/17edo">,17</a> <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/24edo">24</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/60edo">60</a>, <a class="wiki_link" href="/68edo">68</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/109edo">109</a>, <a class="wiki_link" href="/128edo">128</a>, <a class="wiki_link" href="/169edo">169</a>, <a class="wiki_link" href="/177edo">177</a>, <a class="wiki_link" href="/237edo">237</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.000129<br />
<br />
<a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 5 243/49 to 2.3.7<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="Sensamagic--Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:2 --><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:4:&lt;h2&gt; --><h2 id="toc2"><a name="Sensamagic-Undecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Undecimal sensamagic</h2>
Commas: 245/243, 385/384<br />
<br />
<a class="wiki_link" href="/11-limit">11-limit</a> 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: <a class="wiki_link" href="/5edo">5</a>, 17, 19, 22, 41, 68, 87, <a class="wiki_link" href="/196edo">196</a>, <a class="wiki_link" href="/283edo">283</a>, 607bd, 694bd<br />
Badness: 0.000722<br />
<br />
Projection pairs: 5 243/49 11 896/81 to 2.3.7<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Sensamagic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->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, 324d, 370bd, 411bd, 607bd, 694bd<br />
Badness: 0.00120<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Sensawer"></a><!-- ws:end:WikiTextHeadingRule:8 -->Sensawer</h1>
Commas: 245/243, 441/440<br />
<br />
Map: [&lt;1 0 0 0 -3|, &lt;0 1 1 2 5|, &lt;0 0 2 -1 -4|]<br />
EDOs: 41, 87, 302d, 389d, 476bd<br />
Badness: 0.000796<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Sensawer-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2>
Commas: 196/195, 245/243, 352/351<br />
<br />
Map: [&lt;1 0 0 0 -3 2|, &lt;0 1 1 2 5 2|, &lt;0 0 2 -1 -4 -4|]<br />
EDOs: 41, 46, 87, 522bd<br />
Badness: 0.000928<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Octarod"></a><!-- ws:end:WikiTextHeadingRule:12 -->Octarod</h1>
Commas: 100/99, 245/243<br />
<br />
Map: [&lt;1 0 0 0 2|, &lt;0 1 1 2 0|, &lt;0 0 2 -1 4|]<br />
EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e <br />
Badness: 0.000581<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Shrusus"></a><!-- ws:end:WikiTextHeadingRule:14 -->Shrusus</h1>
Commas: 176/175, 245/243<br />
<br />
Map: [&lt;1 0 0 0 -4|, &lt;0 1 1 2 4|, &lt;0 0 2 -1 3|]<br />
EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc<br />
Badness: 0.000877<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Shrusus-Shrusic"></a><!-- ws:end:WikiTextHeadingRule:16 -->Shrusic</h2>
Commas: 91/90, 176/175, 245/243<br />
<br />
Map: [&lt;1 0 0 0 -4 1|, &lt;0 1 1 2 4 1|, &lt;0 0 2 -1 3 3|]<br />
EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf<br />
Badness: 0.001125</body></html>