Ragismic family: Difference between revisions

Revision as of 16:12, 20 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 2012-02-20 16:12:44 UTC.

The original revision id was 303438478.

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]]

=Ragisma=
Comma: 4375/4374

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

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

Lattice basis: 10/9 length=0.789 6/5 length=0.921
Angle(10/9, 6/5) = 105.299
Map to lattice: [<0 -1 -1 -3|, <0 -1 -2 1|]

Map: [<1 0 0 1|, <0 1 0 7|, <0 0 1 -4|]
Generators: 2, 3, 5
Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 

[[Projection pair]]: 7 4374/625

Scales: [[ragismic19]]

==11 limit children==

=Thor=
Commas: 4375/4374, 3025/3024

Minimax tuning
[|1 0 0 0 0>, |3/4 0 1/2 1/2 -1/2>, 
|25/16 0 7/8 5/8 -7/8>, |0 0 0 1 0>, 
|25/16 0 -1/8 5/8 1/8>]
Eigenmonzos: 2, 11/10, 8/7

Map: [<2 0 0 2 5|, <0 1 0 7 5|, <0 0 1 -4 -3|]
Generators: 99/70, 3, 5
Badness: 0.0000888

Projection pairs: 2 9801/4900 7 21434787/3062500 11 2310905821257/210087500000 to 3.5.14/11

==Donar==
Commas: 4375/4374, 3025/3024, 4225/4224

13-limit
||1 0 0 0 0 0>, |3/4 0 1/2 1/2 -1/2 0>, 
|25/16 0 7/8 5/8 -7/8 0>, |0 0 0 1 0 0>, 
|25/16 0 -1/8 5/8 1/8 0>, 
|99/32 0 -11/16 -1/16 11/16 0>]
Eigenmonzos: 2, 11/10, 8/7

15-limit minimax
[|1 0 0 0 0 0>, |1/2 1/3 1/3 1/3 -1/3 0>, 
|9/8 7/12 7/12 1/3 -7/12 0>, |0 0 0 1 0 0>, 
|13/8 -1/12 -1/12 2/3 1/12 0>, 
|55/16 -11/24 -11/24 1/6 11/24 0>]
Eigenmonzos: 2, 8/7, 15/11

Lattice basis: 44/39 length = 0.3480 6/5 length = 0.7828
Angle(44/39, 6/5) = 85.3977
Map to lattice: [<0 2 2 6 4 1|, <0 -1 -2 1 1 2|]

Map: [<2 0 1 -2 2 7|, <0 1 0 7 5 3|, <0 0 2 -8 -6 -5|]
Generators: 99/70, 3, 220/117
Edos: 46, 80, 92, 126, 144, 178, 190, 224, 494, 684, 954, 1178, 1942, 3120, 3390
Badness: 0.000322

Scales: [[donar46]]

==Thunor==
Commas: 4375/4374, 3025/3024, 1716/1715

13 and 15 limit minimax
[|1 0 0 0 0 0>, |7/10 4/5 0 -2/5 0 1/5>, 
|9/8 3/2 0 -3/4 0 1/4>, |7/5 -2/5 0 1/5 0 2/5>, |21/8 -1/2 0 1/4 0 1/4>, |0 0 0 0 0 1>]
Eigenmonzos: 2, 16/13, 9/7

Lattice basis: 10/9 length 0.4234 6/5 length 0.8426
Angle(10/9, 6/5) = 84.126 degrees
Map to lattice: [<0 -1 -2 -3 -2 -7|, <0 -1 -2 1 1 1|]  

Map: [<2 0 0 2 5 -3|, <0 1 0 7 5 15|, <0 0 1 -4 -3 -8|]
Generators: 99/70, 3, 5
Edos: 26, 46, 72, 178, 224, 270, 494
Badness: 0.000341

==Rym==
Commas: 4375/4374, 3025/3024, 4096/4095

Map: [<2 0 0 2 5 22|, <0 1 0 7 5 -9|, <0 0 1 -4 -3 3|]
EDOs: 46, 106, 118, 152, 224, 270, 494, 764, 1106, 1376, 1870
Badness: 0.000549 

=Vidar=
Commas: 4375/4374, 100663296/100656875

=Bragi=
Commas: 4375/4374, 2097152/2096325

=Beyla=
Commas: 4374/4375, 385/384

Map: [<1 0 0 1 6|, <0 1 0 7 -6|, <0 0 1 -4 3|]
EDOs: 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cde
Badness: 0.000721

==13-limit==
Commas: 169/168, 325/324, 385/384

Map: [<1 0 0 1 6 2|, <0 1 0 7 -6 4|, <0 0 1 -4 3 -2|]
EDOs: 7, 19, 26, 46, 53, 72, 118f, 125f, 171ef, 190f, 197ef, 243ef
Badness: 0.000840

Original HTML content:

<html><head><title>Ragisma family</title></head><body><!-- ws:start:WikiTextTocRule:20:&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:20 --><!-- ws:start:WikiTextTocRule:21: --><div style="margin-left: 1em;"><a href="#Ragisma">Ragisma</a></div>
<!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><div style="margin-left: 2em;"><a href="#Ragisma-11 limit children">11 limit children</a></div>
<!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 1em;"><a href="#Thor">Thor</a></div>
<!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 2em;"><a href="#Thor-Donar">Donar</a></div>
<!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 2em;"><a href="#Thor-Thunor">Thunor</a></div>
<!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 2em;"><a href="#Thor-Rym">Rym</a></div>
<!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 1em;"><a href="#Vidar">Vidar</a></div>
<!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 1em;"><a href="#Bragi">Bragi</a></div>
<!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 1em;"><a href="#Beyla">Beyla</a></div>
<!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#Beyla-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --></div>
<!-- ws:end:WikiTextTocRule:31 --><br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Ragisma"></a><!-- ws:end:WikiTextHeadingRule:0 -->Ragisma</h1>
Comma: 4375/4374<br />
<br />
7-limit<br />
[|1 0 0 0&gt;, |-1/7 0 4/7 1/7&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]<br />
Eigenmonzos: 2, 8/7, 5/4<br />
<br />
9-limit<br />
[|1 0 0 0&gt;, |0 1 0 0&gt;, |1/5 7/5 1/5 -1/5&gt;, <br />
|1/5 7/5 -4/5 4/5&gt;]<br />
Eigenmonzos: 2, 4/3, 7/5<br />
<br />
Lattice basis: 10/9 length=0.789 6/5 length=0.921<br />
Angle(10/9, 6/5) = 105.299<br />
Map to lattice: [&lt;0 -1 -1 -3|, &lt;0 -1 -2 1|]<br />
<br />
Map: [&lt;1 0 0 1|, &lt;0 1 0 7|, &lt;0 0 1 -4|]<br />
Generators: 2, 3, 5<br />
Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 <br />
<br />
<a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 7 4374/625<br />
<br />
Scales: <a class="wiki_link" href="/ragismic19">ragismic19</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Ragisma-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:2 -->11 limit children</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Thor"></a><!-- ws:end:WikiTextHeadingRule:4 -->Thor</h1>
Commas: 4375/4374, 3025/3024<br />
<br />
Minimax tuning<br />
[|1 0 0 0 0&gt;, |3/4 0 1/2 1/2 -1/2&gt;, <br />
|25/16 0 7/8 5/8 -7/8&gt;, |0 0 0 1 0&gt;, <br />
|25/16 0 -1/8 5/8 1/8&gt;]<br />
Eigenmonzos: 2, 11/10, 8/7<br />
<br />
Map: [&lt;2 0 0 2 5|, &lt;0 1 0 7 5|, &lt;0 0 1 -4 -3|]<br />
Generators: 99/70, 3, 5<br />
Badness: 0.0000888<br />
<br />
Projection pairs: 2 9801/4900 7 21434787/3062500 11 2310905821257/210087500000 to 3.5.14/11<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Thor-Donar"></a><!-- ws:end:WikiTextHeadingRule:6 -->Donar</h2>
Commas: 4375/4374, 3025/3024, 4225/4224<br />
<br />
13-limit<br />
||1 0 0 0 0 0&gt;, |3/4 0 1/2 1/2 -1/2 0&gt;, <br />
|25/16 0 7/8 5/8 -7/8 0&gt;, |0 0 0 1 0 0&gt;, <br />
|25/16 0 -1/8 5/8 1/8 0&gt;, <br />
|99/32 0 -11/16 -1/16 11/16 0&gt;]<br />
Eigenmonzos: 2, 11/10, 8/7<br />
<br />
15-limit minimax<br />
[|1 0 0 0 0 0&gt;, |1/2 1/3 1/3 1/3 -1/3 0&gt;, <br />
|9/8 7/12 7/12 1/3 -7/12 0&gt;, |0 0 0 1 0 0&gt;, <br />
|13/8 -1/12 -1/12 2/3 1/12 0&gt;, <br />
|55/16 -11/24 -11/24 1/6 11/24 0&gt;]<br />
Eigenmonzos: 2, 8/7, 15/11<br />
<br />
Lattice basis: 44/39 length = 0.3480 6/5 length = 0.7828<br />
Angle(44/39, 6/5) = 85.3977<br />
Map to lattice: [&lt;0 2 2 6 4 1|, &lt;0 -1 -2 1 1 2|]<br />
<br />
Map: [&lt;2 0 1 -2 2 7|, &lt;0 1 0 7 5 3|, &lt;0 0 2 -8 -6 -5|]<br />
Generators: 99/70, 3, 220/117<br />
Edos: 46, 80, 92, 126, 144, 178, 190, 224, 494, 684, 954, 1178, 1942, 3120, 3390<br />
Badness: 0.000322<br />
<br />
Scales: <a class="wiki_link" href="/donar46">donar46</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Thor-Thunor"></a><!-- ws:end:WikiTextHeadingRule:8 -->Thunor</h2>
Commas: 4375/4374, 3025/3024, 1716/1715<br />
<br />
13 and 15 limit minimax<br />
[|1 0 0 0 0 0&gt;, |7/10 4/5 0 -2/5 0 1/5&gt;, <br />
|9/8 3/2 0 -3/4 0 1/4&gt;, |7/5 -2/5 0 1/5 0 2/5&gt;, |21/8 -1/2 0 1/4 0 1/4&gt;, |0 0 0 0 0 1&gt;]<br />
Eigenmonzos: 2, 16/13, 9/7<br />
<br />
Lattice basis: 10/9 length 0.4234 6/5 length 0.8426<br />
Angle(10/9, 6/5) = 84.126 degrees<br />
Map to lattice: [&lt;0 -1 -2 -3 -2 -7|, &lt;0 -1 -2 1 1 1|]  <br />
<br />
Map: [&lt;2 0 0 2 5 -3|, &lt;0 1 0 7 5 15|, &lt;0 0 1 -4 -3 -8|]<br />
Generators: 99/70, 3, 5<br />
Edos: 26, 46, 72, 178, 224, 270, 494<br />
Badness: 0.000341<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Thor-Rym"></a><!-- ws:end:WikiTextHeadingRule:10 -->Rym</h2>
Commas: 4375/4374, 3025/3024, 4096/4095<br />
<br />
Map: [&lt;2 0 0 2 5 22|, &lt;0 1 0 7 5 -9|, &lt;0 0 1 -4 -3 3|]<br />
EDOs: 46, 106, 118, 152, 224, 270, 494, 764, 1106, 1376, 1870<br />
Badness: 0.000549 <br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Vidar"></a><!-- ws:end:WikiTextHeadingRule:12 -->Vidar</h1>
Commas: 4375/4374, 100663296/100656875<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Bragi"></a><!-- ws:end:WikiTextHeadingRule:14 -->Bragi</h1>
Commas: 4375/4374, 2097152/2096325<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Beyla"></a><!-- ws:end:WikiTextHeadingRule:16 -->Beyla</h1>
Commas: 4374/4375, 385/384<br />
<br />
Map: [&lt;1 0 0 1 6|, &lt;0 1 0 7 -6|, &lt;0 0 1 -4 3|]<br />
EDOs: 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cde<br />
Badness: 0.000721<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Beyla-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2>
Commas: 169/168, 325/324, 385/384<br />
<br />
Map: [&lt;1 0 0 1 6 2|, &lt;0 1 0 7 -6 4|, &lt;0 0 1 -4 3 -2|]<br />
EDOs: 7, 19, 26, 46, 53, 72, 118f, 125f, 171ef, 190f, 197ef, 243ef<br />
Badness: 0.000840</body></html>

Ragismic family: Difference between revisions

Wikispaces>genewardsmith

Revision as of 16:12, 20 February 2012

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

@@ 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>2011-08-22 02:19:52 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-20 16:12:44 UTC</tt>.<br>
-: The original revision id was <tt>247577137</tt>.<br>
+: The original revision id was <tt>303438478</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">Comma: 4375/4374
+<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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]
+=Ragisma=
+Comma: 4375/4374
 -limit
@@ Line 31: / Line 34: @@
 ==11 limit children==
-==Thor==
+=Thor=
 Commas: 4375/4374, 3025/3024
@@ Line 46: / Line 49: @@
 Projection pairs: 2 9801/4900 7 21434787/3062500 11 2310905821257/210087500000 to 3.5.14/11
-===Donar===
+==Donar==
 Commas: 4375/4374, 3025/3024, 4225/4224
@@ Line 74: / Line 77: @@
 Scales: [[donar46]]
-===Thunor===
+==Thunor==
 Commas: 4375/4374, 3025/3024, 1716/1715
@@ Line 91: / Line 94: @@
 Badness: 0.000341
-===Rym===
+==Rym==
 Commas: 4375/4374, 3025/3024, 4096/4095
@@ Line 98: / Line 101: @@
 Badness: 0.000549
-==Vidar==
+=Vidar=
 Commas: 4375/4374, 100663296/100656875
-==Bragi==
+=Bragi=
-Commas: 4375/4374, 2097152/2096325</pre></div>
+Commas: 4375/4374, 2097152/2096325
+=Beyla=
+Commas: 4374/4375, 385/384
+Map: [&lt;1 0 0 1 6|, &lt;0 1 0 7 -6|, &lt;0 0 1 -4 3|]
+EDOs: 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cde
+Badness: 0.000721
+==13-limit==
+Commas: 169/168, 325/324, 385/384
+Map: [&lt;1 0 0 1 6 2|, &lt;0 1 0 7 -6 4|, &lt;0 0 1 -4 3 -2|]
+EDOs: 7, 19, 26, 46, 53, 72, 118f, 125f, 171ef, 190f, 197ef, 243ef
+Badness: 0.000840
+</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;Ragisma family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comma: 4375/4374&lt;br /&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;Ragisma family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:20:&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:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Ragisma"&gt;Ragisma&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="#Ragisma-11 limit children"&gt;11 limit children&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="#Thor"&gt;Thor&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="#Thor-Donar"&gt;Donar&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Thor-Thunor"&gt;Thunor&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Thor-Rym"&gt;Rym&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vidar"&gt;Vidar&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Bragi"&gt;Bragi&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Beyla"&gt;Beyla&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Beyla-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Ragisma"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Ragisma&lt;/h1&gt;
+Comma: 4375/4374&lt;br /&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
@@ Line 127: / Line 158: @@
 Scales: &lt;a class="wiki_link" href="/ragismic19"&gt;ragismic19&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-11 limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;11 limit children&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Ragisma-11 limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11 limit children&lt;/h2&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Thor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Thor&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Thor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Thor&lt;/h1&gt;
 Commas: 4375/4374, 3025/3024&lt;br /&gt;
 &lt;br /&gt;
@@ Line 144: / Line 175: @@
 Projection pairs: 2 9801/4900 7 21434787/3062500 11 2310905821257/210087500000 to 3.5.14/11&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Thor-Donar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Donar&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Thor-Donar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Donar&lt;/h2&gt;
 Commas: 4375/4374, 3025/3024, 4225/4224&lt;br /&gt;
 &lt;br /&gt;
@@ Line 172: / Line 203: @@
 Scales: &lt;a class="wiki_link" href="/donar46"&gt;donar46&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Thor-Thunor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Thunor&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Thor-Thunor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Thunor&lt;/h2&gt;
 Commas: 4375/4374, 3025/3024, 1716/1715&lt;br /&gt;
 &lt;br /&gt;
@@ Line 189: / Line 220: @@
 Badness: 0.000341&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Thor-Rym"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Rym&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Thor-Rym"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Rym&lt;/h2&gt;
 Commas: 4375/4374, 3025/3024, 4096/4095&lt;br /&gt;
 &lt;br /&gt;
@@ Line 196: / Line 227: @@
 Badness: 0.000549 &lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Vidar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Vidar&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Vidar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Vidar&lt;/h1&gt;
 Commas: 4375/4374, 100663296/100656875&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Bragi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Bragi&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Bragi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Bragi&lt;/h1&gt;
-Commas: 4375/4374, 2097152/2096325&lt;/body&gt;&lt;/html&gt;</pre></div>
+Commas: 4375/4374, 2097152/2096325&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Beyla"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Beyla&lt;/h1&gt;
+Commas: 4374/4375, 385/384&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 0 1 6|, &amp;lt;0 1 0 7 -6|, &amp;lt;0 0 1 -4 3|]&lt;br /&gt;
+EDOs: 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cde&lt;br /&gt;
+Badness: 0.000721&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Beyla-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;13-limit&lt;/h2&gt;
+Commas: 169/168, 325/324, 385/384&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 0 1 6 2|, &amp;lt;0 1 0 7 -6 4|, &amp;lt;0 0 1 -4 3 -2|]&lt;br /&gt;
+EDOs: 7, 19, 26, 46, 53, 72, 118f, 125f, 171ef, 190f, 197ef, 243ef&lt;br /&gt;
+Badness: 0.000840&lt;/body&gt;&lt;/html&gt;</pre></div>

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