Porwell family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 187546233 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 187559173 - 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>2010-12-12 17:44:41 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-12 18:46:43 UTC</tt>.<br>
: The original revision id was <tt>187546233</tt>.<br>
: The original revision id was <tt>187559173</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 14: Line 14:
|11/5 1/5 -3/5 3/5&gt;]
|11/5 1/5 -3/5 3/5&gt;]
Eigenmonzos: 4/3, 7/5
Eigenmonzos: 4/3, 7/5
Lattice basis: 11/10, 11/8
Map to lattice: [&lt;0 1 -1 2 0|, &lt;0 1 1 -1 1|]
Angle(11/10, 11/8) = 87.464 degrees


Map: [&lt;1 0 1 4|, &lt;0 1 1 -1|, &lt;0 0 -2 3|]
Map: [&lt;1 0 1 4|, &lt;0 1 1 -1|, &lt;0 0 -2 3|]
Generators: 2, 3, 35/32
Generators: 2, 3, 35/32
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 412
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 412
Zeus11[22] [[Hobbits|hobbit]] [[transversal]]
33/32, 16/15, 11/10, 8/7, 64/55, 77/64, 5/4, 14/11, 4/3,
11/8, 45/32, 16/11, 3/2, 11/7, 8/5, 5/3, 55/32, 7/4,
11/6, 15/8, 64/33, 2
Zeus11[24] hobbit transversal
33/32, 16/15, 11/10, 9/8, 8/7, 77/64, 11/9, 5/4, 21/16, 4/3, 11/8, 45/32, 16/11, 3/2, 32/21, 8/5, 18/11, 5/3, 7/4, 16/9,
11/6, 15/8, 64/33, 2


==11 limit children==
==11 limit children==
Line 41: Line 29:
|10/3 2/3 0 -1/3 0&gt;]
|10/3 2/3 0 -1/3 0&gt;]
Eigenmonzos: 2, 9/7, 7/5
Eigenmonzos: 2, 9/7, 7/5
Lattice basis: 11/10, 11/8
Map to lattice: [&lt;0 1 -1 2 0|, &lt;0 1 1 -1 1|]
Angle(11/10, 11/8) = 87.464 degrees


Map: [&lt;1 0 1 4 2|, &lt;0 1 1 -1 1|, &lt;0 0 -2 3 1|]
Map: [&lt;1 0 1 4 2|, &lt;0 1 1 -1 1|, &lt;0 0 -2 3 1|]
Generators: 2, 3, 11/10
Generators: 2, 3, 11/10
Zeus11[22] [[Hobbits|hobbit]] [[transversal]]
33/32, 16/15, 11/10, 8/7, 64/55, 77/64, 5/4, 14/11, 4/3,
11/8, 45/32, 16/11, 3/2, 11/7, 8/5, 5/3, 55/32, 7/4,
11/6, 15/8, 64/33, 2
Zeus11[24] hobbit transversal
33/32, 16/15, 11/10, 9/8, 8/7, 77/64, 11/9, 5/4, 21/16, 4/3, 11/8, 45/32, 16/11, 3/2, 32/21, 8/5, 18/11, 5/3, 7/4, 16/9,
11/6, 15/8, 64/33, 2


13-limit
13-limit
Line 69: Line 69:
Generators: 2, 3, 11/10
Generators: 2, 3, 11/10
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412
Zeus13[22] hobbit transversal
260/243, 88/81, 11/10, 44/39, 162/143, 11/9, 16/13, 320/243, 4/3, 1040/729, 13/9, 729/520, 3/2, 99/65, 44/27, 18/11, 1280/729, 16/9, 11/6, 24/13, 243/130, 2
Zeus13[24] hobbit transversal
27/26, 169/81, 260/243, 162/143, 2560/2197, 65536/56133, 16/13, 216/169, 104/81, 320/243, 729/520, 1024/729, 1040/729, 99/65, 264/169, 169/108, 44/27, 243/143, 416/243, 1280/729, 243/130, 162/169, 52/27, 2


====Tinia====
====Tinia====
Line 81: Line 86:
|11/5 1/5 -3/5 3/5&amp;gt;]&lt;br /&gt;
|11/5 1/5 -3/5 3/5&amp;gt;]&lt;br /&gt;
Eigenmonzos: 4/3, 7/5&lt;br /&gt;
Eigenmonzos: 4/3, 7/5&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 11/10, 11/8&lt;br /&gt;
Map to lattice: [&amp;lt;0 1 -1 2 0|, &amp;lt;0 1 1 -1 1|]&lt;br /&gt;
Angle(11/10, 11/8) = 87.464 degrees&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1 4|, &amp;lt;0 1 1 -1|, &amp;lt;0 0 -2 3|]&lt;br /&gt;
Map: [&amp;lt;1 0 1 4|, &amp;lt;0 1 1 -1|, &amp;lt;0 0 -2 3|]&lt;br /&gt;
Generators: 2, 3, 35/32&lt;br /&gt;
Generators: 2, 3, 35/32&lt;br /&gt;
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 412&lt;br /&gt;
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 412&lt;br /&gt;
&lt;br /&gt;
Zeus11[22] &lt;a class="wiki_link" href="/Hobbits"&gt;hobbit&lt;/a&gt; &lt;a class="wiki_link" href="/transversal"&gt;transversal&lt;/a&gt;&lt;br /&gt;
33/32, 16/15, 11/10, 8/7, 64/55, 77/64, 5/4, 14/11, 4/3, &lt;br /&gt;
11/8, 45/32, 16/11, 3/2, 11/7, 8/5, 5/3, 55/32, 7/4, &lt;br /&gt;
11/6, 15/8, 64/33, 2&lt;br /&gt;
Zeus11[24] hobbit transversal&lt;br /&gt;
33/32, 16/15, 11/10, 9/8, 8/7, 77/64, 11/9, 5/4, 21/16, 4/3, 11/8, 45/32, 16/11, 3/2, 32/21, 8/5, 18/11, 5/3, 7/4, 16/9, &lt;br /&gt;
11/6, 15/8, 64/33, 2&lt;br /&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: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;
Line 108: Line 101:
|10/3 2/3 0 -1/3 0&amp;gt;]&lt;br /&gt;
|10/3 2/3 0 -1/3 0&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 9/7, 7/5&lt;br /&gt;
Eigenmonzos: 2, 9/7, 7/5&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 11/10, 11/8&lt;br /&gt;
Map to lattice: [&amp;lt;0 1 -1 2 0|, &amp;lt;0 1 1 -1 1|]&lt;br /&gt;
Angle(11/10, 11/8) = 87.464 degrees&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1 4 2|, &amp;lt;0 1 1 -1 1|, &amp;lt;0 0 -2 3 1|]&lt;br /&gt;
Map: [&amp;lt;1 0 1 4 2|, &amp;lt;0 1 1 -1 1|, &amp;lt;0 0 -2 3 1|]&lt;br /&gt;
Generators: 2, 3, 11/10&lt;br /&gt;
Generators: 2, 3, 11/10&lt;br /&gt;
&lt;br /&gt;
Zeus11[22] &lt;a class="wiki_link" href="/Hobbits"&gt;hobbit&lt;/a&gt; &lt;a class="wiki_link" href="/transversal"&gt;transversal&lt;/a&gt;&lt;br /&gt;
33/32, 16/15, 11/10, 8/7, 64/55, 77/64, 5/4, 14/11, 4/3, &lt;br /&gt;
11/8, 45/32, 16/11, 3/2, 11/7, 8/5, 5/3, 55/32, 7/4, &lt;br /&gt;
11/6, 15/8, 64/33, 2&lt;br /&gt;
Zeus11[24] hobbit transversal&lt;br /&gt;
33/32, 16/15, 11/10, 9/8, 8/7, 77/64, 11/9, 5/4, 21/16, 4/3, 11/8, 45/32, 16/11, 3/2, 32/21, 8/5, 18/11, 5/3, 7/4, 16/9, &lt;br /&gt;
11/6, 15/8, 64/33, 2&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
13-limit&lt;br /&gt;
Line 136: Line 141:
Generators: 2, 3, 11/10&lt;br /&gt;
Generators: 2, 3, 11/10&lt;br /&gt;
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412&lt;br /&gt;
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412&lt;br /&gt;
&lt;br /&gt;
Zeus13[22] hobbit transversal&lt;br /&gt;
260/243, 88/81, 11/10, 44/39, 162/143, 11/9, 16/13, 320/243, 4/3, 1040/729, 13/9, 729/520, 3/2, 99/65, 44/27, 18/11, 1280/729, 16/9, 11/6, 24/13, 243/130, 2&lt;br /&gt;
Zeus13[24] hobbit transversal&lt;br /&gt;
27/26, 169/81, 260/243, 162/143, 2560/2197, 65536/56133, 16/13, 216/169, 104/81, 320/243, 729/520, 1024/729, 1040/729, 99/65, 264/169, 169/108, 44/27, 243/143, 416/243, 1280/729, 243/130, 162/169, 52/27, 2&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="x-11 limit children-Zeus-Tinia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Tinia&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="x-11 limit children-Zeus-Tinia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Tinia&lt;/h4&gt;
Commas: 66/65, 121/120, 176/175&lt;/body&gt;&lt;/html&gt;</pre></div>
Commas: 66/65, 121/120, 176/175&lt;/body&gt;&lt;/html&gt;</pre></div>