Hemimean family: Difference between revisions

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**Imported revision 165352347 - Original comment: **
Wikispaces>xenwolf
**Imported revision 165455393 - Original comment: links**
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:xenwolf|xenwolf]] and made on <tt>2010-09-25 12:33:14 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-26 10:49:02 UTC</tt>.<br>
: The original revision id was <tt>165352347</tt>.<br>
: The original revision id was <tt>165455393</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>links</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
Line 10: Line 10:
7 and 9 limit minimax
7 and 9 limit minimax
[|1 0 0 0&gt;, |0 1 0 0&gt;, |6/5 0 0 2/5&gt;, |0 0 0 1&gt;]
[|1 0 0 0&gt;, |0 1 0 0&gt;, |6/5 0 0 2/5&gt;, |0 0 0 1&gt;]
Eigenmonzos: 2, 7/6, 4/3
[[Eigenmonzo|Eigenmonzos]]: 2, 7/6, 4/3


Lattice basis: 28/25 length 0.5055 3/2 length 1.5849
Lattice basis: 28/25 length 0.5055 3/2 length 1.5849
Line 17: Line 17:


Map: [&lt;1 0 0 -3|, &lt;0 1 0 0|, &lt;0 0 2 5|]  
Map: [&lt;1 0 0 -3|, &lt;0 1 0 0|, &lt;0 0 2 5|]  
Generators: 2, 3, 56/25
[[Generator|Generators]]: 2, 3, 56/25
Edos: 217, 229, 328, 359, 446
[[edo|Edos]]: [[217edo|217]], [[229edo|229]], [[328edo|328]], [[359edo|359]], [[446edo|446]]


==11 limit children==
==11 limit children==
Line 30: Line 30:
|27/11 -10/11 -5/11 5/11 5/11&gt;,  
|27/11 -10/11 -5/11 5/11 5/11&gt;,  
|24/11 -4/11 -13/11 2/11 13/11&gt;]
|24/11 -4/11 -13/11 2/11 13/11&gt;]
Eigenmonzos: 2, 11/10, 9/7
[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7


Map: [&lt;1 0 0 -3 -9|, &lt;0 1 0 0 2|, [0 0 2 5 8|]
Map: [&lt;1 0 0 -3 -9|, &lt;0 1 0 0 2|, [0 0 2 5 8|]
Generators: 2, 3, 56/25
[[Generator|Generators]]: 2, 3, 56/25
Edos: 248, 378, 626
[[edo|Edos]]: [[248edo|248]], [[378edo|378]], [[626edo|626]]


===Siebog===
===Siebog===
Line 42: Line 42:
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |8/5 3/5 1/5 0 -1/5&gt;,  
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |8/5 3/5 1/5 0 -1/5&gt;,  
|1 3/2 1/2 0 -1/2&gt;, |8/5 3/5 -4/5 0 4/5&gt;]
|1 3/2 1/2 0 -1/2&gt;, |8/5 3/5 -4/5 0 4/5&gt;]
Eigenmonzos: 2, 11/10, 4/3
[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 4/3


Map: [&lt;1 0 0 -3 8|, &lt;0 1 0 0 3|, &lt;0 0 2 5 -8|]
Map: [&lt;1 0 0 -3 8|, &lt;0 1 0 0 3|, &lt;0 0 2 5 -8|]
Generators: 2, 3, 768/343
[[Generator|Generators]]: 2, 3, 768/343
Edos: 130, 241</pre></div>
[[edo|Edos]]: [[130edo|130]], [[241edo|241]]</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;Hemimean family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 3136/3125, hemimean&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;Hemimean family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 3136/3125, hemimean&lt;br /&gt;
Line 52: Line 52:
7 and 9 limit minimax&lt;br /&gt;
7 and 9 limit minimax&lt;br /&gt;
[|1 0 0 0&amp;gt;, |0 1 0 0&amp;gt;, |6/5 0 0 2/5&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
[|1 0 0 0&amp;gt;, |0 1 0 0&amp;gt;, |6/5 0 0 2/5&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 7/6, 4/3&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/6, 4/3&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 28/25 length 0.5055 3/2 length 1.5849&lt;br /&gt;
Lattice basis: 28/25 length 0.5055 3/2 length 1.5849&lt;br /&gt;
Line 59: Line 59:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3|, &amp;lt;0 1 0 0|, &amp;lt;0 0 2 5|] &lt;br /&gt;
Map: [&amp;lt;1 0 0 -3|, &amp;lt;0 1 0 0|, &amp;lt;0 0 2 5|] &lt;br /&gt;
Generators: 2, 3, 56/25&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 56/25&lt;br /&gt;
Edos: 217, 229, 328, 359, 446&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/217edo"&gt;217&lt;/a&gt;, &lt;a class="wiki_link" href="/229edo"&gt;229&lt;/a&gt;, &lt;a class="wiki_link" href="/328edo"&gt;328&lt;/a&gt;, &lt;a class="wiki_link" href="/359edo"&gt;359&lt;/a&gt;, &lt;a class="wiki_link" href="/446edo"&gt;446&lt;/a&gt;&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 72: Line 72:
|27/11 -10/11 -5/11 5/11 5/11&amp;gt;, &lt;br /&gt;
|27/11 -10/11 -5/11 5/11 5/11&amp;gt;, &lt;br /&gt;
|24/11 -4/11 -13/11 2/11 13/11&amp;gt;]&lt;br /&gt;
|24/11 -4/11 -13/11 2/11 13/11&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 11/10, 9/7&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/10, 9/7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3 -9|, &amp;lt;0 1 0 0 2|, [0 0 2 5 8|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3 -9|, &amp;lt;0 1 0 0 2|, [0 0 2 5 8|]&lt;br /&gt;
Generators: 2, 3, 56/25&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 56/25&lt;br /&gt;
Edos: 248, 378, 626&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/248edo"&gt;248&lt;/a&gt;, &lt;a class="wiki_link" href="/378edo"&gt;378&lt;/a&gt;, &lt;a class="wiki_link" href="/626edo"&gt;626&lt;/a&gt;&lt;br /&gt;
&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-11 limit children-Siebog"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Siebog&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-11 limit children-Siebog"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Siebog&lt;/h3&gt;
Line 84: Line 84:
[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, |8/5 3/5 1/5 0 -1/5&amp;gt;, &lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, |8/5 3/5 1/5 0 -1/5&amp;gt;, &lt;br /&gt;
|1 3/2 1/2 0 -1/2&amp;gt;, |8/5 3/5 -4/5 0 4/5&amp;gt;]&lt;br /&gt;
|1 3/2 1/2 0 -1/2&amp;gt;, |8/5 3/5 -4/5 0 4/5&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 11/10, 4/3&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/10, 4/3&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3 8|, &amp;lt;0 1 0 0 3|, &amp;lt;0 0 2 5 -8|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3 8|, &amp;lt;0 1 0 0 3|, &amp;lt;0 0 2 5 -8|]&lt;br /&gt;
Generators: 2, 3, 768/343&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 768/343&lt;br /&gt;
Edos: 130, 241&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/130edo"&gt;130&lt;/a&gt;, &lt;a class="wiki_link" href="/241edo"&gt;241&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 10:49, 26 September 2010

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author xenwolf and made on 2010-09-26 10:49:02 UTC.
The original revision id was 165455393.
The revision comment was: links

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]]: 3136/3125, hemimean

7 and 9 limit minimax
[|1 0 0 0>, |0 1 0 0>, |6/5 0 0 2/5>, |0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/6, 4/3

Lattice basis: 28/25 length 0.5055 3/2 length 1.5849
Angle(28/25, 3/2) = 90 degrees
Map to lattice: [<0 0 2 5|, <0 1 0 0|]

Map: [<1 0 0 -3|, <0 1 0 0|, <0 0 2 5|] 
[[Generator|Generators]]: 2, 3, 56/25
[[edo|Edos]]: [[217edo|217]], [[229edo|229]], [[328edo|328]], [[359edo|359]], [[446edo|446]]

==11 limit children==

===Belobog===
[[Comma|Commas]]: 3136/3125, 441/440

11 limit minimax
[|1 0 0 0 0>, |27/22 6/11 -5/22 -3/11 5/22>, 
|24/11 -4/11 -2/11 2/11 2/11>, 
|27/11 -10/11 -5/11 5/11 5/11>, 
|24/11 -4/11 -13/11 2/11 13/11>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7

Map: [<1 0 0 -3 -9|, <0 1 0 0 2|, [0 0 2 5 8|]
[[Generator|Generators]]: 2, 3, 56/25
[[edo|Edos]]: [[248edo|248]], [[378edo|378]], [[626edo|626]]

===Siebog===
[[Comma|Commas]]: 3136/3125, 540/539

11 limit minimax
[|1 0 0 0 0>, |0 1 0 0 0>, |8/5 3/5 1/5 0 -1/5>, 
|1 3/2 1/2 0 -1/2>, |8/5 3/5 -4/5 0 4/5>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 4/3

Map: [<1 0 0 -3 8|, <0 1 0 0 3|, <0 0 2 5 -8|]
[[Generator|Generators]]: 2, 3, 768/343
[[edo|Edos]]: [[130edo|130]], [[241edo|241]]

Original HTML content:

<html><head><title>Hemimean family</title></head><body><a class="wiki_link" href="/Comma">Comma</a>: 3136/3125, hemimean<br />
<br />
7 and 9 limit minimax<br />
[|1 0 0 0&gt;, |0 1 0 0&gt;, |6/5 0 0 2/5&gt;, |0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/6, 4/3<br />
<br />
Lattice basis: 28/25 length 0.5055 3/2 length 1.5849<br />
Angle(28/25, 3/2) = 90 degrees<br />
Map to lattice: [&lt;0 0 2 5|, &lt;0 1 0 0|]<br />
<br />
Map: [&lt;1 0 0 -3|, &lt;0 1 0 0|, &lt;0 0 2 5|] <br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 56/25<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/217edo">217</a>, <a class="wiki_link" href="/229edo">229</a>, <a class="wiki_link" href="/328edo">328</a>, <a class="wiki_link" href="/359edo">359</a>, <a class="wiki_link" href="/446edo">446</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-11 limit children-Belobog"></a><!-- ws:end:WikiTextHeadingRule:2 -->Belobog</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 441/440<br />
<br />
11 limit minimax<br />
[|1 0 0 0 0&gt;, |27/22 6/11 -5/22 -3/11 5/22&gt;, <br />
|24/11 -4/11 -2/11 2/11 2/11&gt;, <br />
|27/11 -10/11 -5/11 5/11 5/11&gt;, <br />
|24/11 -4/11 -13/11 2/11 13/11&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 9/7<br />
<br />
Map: [&lt;1 0 0 -3 -9|, &lt;0 1 0 0 2|, [0 0 2 5 8|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 56/25<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/248edo">248</a>, <a class="wiki_link" href="/378edo">378</a>, <a class="wiki_link" href="/626edo">626</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11 limit children-Siebog"></a><!-- ws:end:WikiTextHeadingRule:4 -->Siebog</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 540/539<br />
<br />
11 limit minimax<br />
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |8/5 3/5 1/5 0 -1/5&gt;, <br />
|1 3/2 1/2 0 -1/2&gt;, |8/5 3/5 -4/5 0 4/5&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 4/3<br />
<br />
Map: [&lt;1 0 0 -3 8|, &lt;0 1 0 0 3|, &lt;0 0 2 5 -8|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 768/343<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/130edo">130</a>, <a class="wiki_link" href="/241edo">241</a></body></html>