Aberschismic family: Difference between revisions

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Wikispaces>xenwolf
**Imported revision 164796119 - Original comment: some links added**
Wikispaces>xenwolf
**Imported revision 164978201 - Original comment: links added, some of them should describe the terminology**
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>2010-09-23 05:19:29 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-23 16:01:44 UTC</tt>.<br>
: The original revision id was <tt>164796119</tt>.<br>
: The original revision id was <tt>164978201</tt>.<br>
: The revision comment was: <tt>some links added</tt><br>
: The revision comment was: <tt>links added, some of them should describe the terminology</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 17: Line 17:
[|1 0 0 0&gt;, |5/4 1/4 1/8 -1/8&gt;,  
[|1 0 0 0&gt;, |5/4 1/4 1/8 -1/8&gt;,  
|0 0 1 0&gt;, |5/2 -3/2 1/4 3/4&gt;]
|0 0 1 0&gt;, |5/2 -3/2 1/4 3/4&gt;]
Eigenmonzos: 2, 5/4, 9/7
[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 9/7


Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063
Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063
Line 27: Line 27:


===Pele===
===Pele===
Commas: 441/440, 896/891
[[Comma|Commas]]: 441/440, 896/891


Minimax tuning
[[Minimax tuning]]
[|1 0 0 0 0&gt;, |17/10 0 1/10 0 -1/10&gt;,  
[|1 0 0 0 0&gt;, |17/10 0 1/10 0 -1/10&gt;,  
|17/5 -2 6/5 0 -1/5&gt;,
|17/5 -2 6/5 0 -1/5&gt;,
|16/5 -2 3/5 0 2/5&gt;, |17/5 -2 1/5 0 4/5&gt;]
|16/5 -2 3/5 0 2/5&gt;, |17/5 -2 1/5 0 4/5&gt;]
Eigenmonzos: 2, 10/9, 11/9
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9


Map: [&lt;1 0 0 10 17|, &lt;0 1 0 -6 -10|, &lt;0 0 1 1 1|]
Map: [&lt;1 0 0 10 17|, &lt;0 1 0 -6 -10|, &lt;0 0 1 1 1|]
Generators: 2, 3, 5
[[Generator|Generators]]: 2, 3, 5
Edos: 128, 145, 232
[[edo|Edos]]: [[128edo|128]], [[145edo|145]], [[232edo|232]]


===Laka===
===Laka===
Commas: 5120/5103, 540/539
[[Comma|Commas]]: 5120/5103, 540/539


Minimax tuning
[[Minimax tuning]]
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;,  
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;,  
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;,  
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;,  
|2 0 3/7 -5/7 5/7&gt;]
|2 0 3/7 -5/7 5/7&gt;]
Eigenmonzos: 2, 5/4, 14/11
[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 14/11


13 limit
13 limit
Commas: 352/351, 540/539, 847/845
[[Comma|Commas]]: 352/351, 540/539, 847/845


13 and 15 limit minimax tuning
13 and 15 limit minimax tuning
Line 56: Line 56:
|25/8 -9/2 5/8 0 0 13/8&gt;,  
|25/8 -9/2 5/8 0 0 13/8&gt;,  
|13/4 -3 1/4 0 0 5/4&gt;]
|13/4 -3 1/4 0 0 5/4&gt;]
Eigenmonzos: 2, 11/8, 14/13
[[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13


17 limit
17 limit
Commas: 352/351, 540/539, 847/845, 442/441
[[Comma|Commas]]: 352/351, 540/539, 847/845, 442/441


17-limit minimax
17-limit minimax
Line 69: Line 69:
|7/4 0 0 -1/4 1/2 1/4 0&gt;,  
|7/4 0 0 -1/4 1/2 1/4 0&gt;,  
|35/12 0 0 23/12 5/6 -23/12 0&gt;]
|35/12 0 0 23/12 5/6 -23/12 0&gt;]
Eigenmonzos: 2, 11/8, 14/13
[[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13


Map: [&lt;1 0 0 10 -18 -13 32|,  
Map: [&lt;1 0 0 10 -18 -13 32|,  
&lt;0 1 0 -6 15 12 -22|, &lt;0 0 1 1 -1 -1 3|]
&lt;0 1 0 -6 15 12 -22|, &lt;0 0 1 1 -1 -1 3|]
Generators: 2, 3, 5
[[Generator|Generators]]: 2, 3, 5
Edos: 94, 111, 152, 205, 345
[[edo|Edos]]: [[94edo|94]], [[111edo|111], [[152edo|152]], [[205edo|205]], [[345edo|345]]


===Akea===
===Akea===
Commas: 385/384, 2200/2187
[[Comma|Commas]]: 385/384, 2200/2187


Minimax tuning
[[Minimax tuning]]
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;,  
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;,  
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;,  
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;,  
|2 0 3/7 -5/7 5/7&gt;]
|2 0 3/7 -5/7 5/7&gt;]
Eigenmonzos: 2, 14/11, 7/5
[[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 7/5


Map: [&lt;1 0 0 10 -3|, &lt;0 1 0 -6 7|, &lt;0 0 1 1 -2|]
Map: [&lt;1 0 0 10 -3|, &lt;0 1 0 -6 7|, &lt;0 0 1 1 -2|]
Generators: 2, 3, 5
[[Generator|Generators]]: 2, 3, 5
Edos: 94, 140, 181, 408
[[edo|EDOs]]: [[94edo|94]], [[140edo|140]], [[181edo|181]], [[408edo|408]]


===Kapo===
===Kapo===
Commas: 5120/5103, 3025/3024
[[Comma|Commas]]: 5120/5103, 3025/3024


Minimax tuning
[[Minimax tuning]]
[|1 0 0 0 0&gt;, |8/5 2/5 0 -1/15 -2/15&gt;,  
[|1 0 0 0 0&gt;, |8/5 2/5 0 -1/15 -2/15&gt;,  
|14/5 6/5 0 7/15 -16/15&gt;,  
|14/5 6/5 0 7/15 -16/15&gt;,  
|16/5 -6/5 0 13/15 -4/15&gt;,  
|16/5 -6/5 0 13/15 -4/15&gt;,  
|16/5 -6/5 0 -2/15 11/15&gt;]
|16/5 -6/5 0 -2/15 11/15&gt;]
Eigenmonzos: 2, 11/9, 9/7
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 9/7


Map: [&lt;1 0 0 10 7|, &lt;0 1 1 -5 -2|, &lt;0 0 2 2 -1|]
Map: [&lt;1 0 0 10 7|, &lt;0 1 1 -5 -2|, &lt;0 0 2 2 -1|]
Generators: 2, 3, 128/99
[[Generator|Generators]]: 2, 3, 128/99
Edos: 152, 198, 239, 350, 391, 478, 589</pre></div>
[[edo|EDOs]]: [[152edo|152]], [[198edo|198]], [[239edo|239]], [[350edo|350]], [[391edo|391]], [[478edo|478]], [[589edo|589]]</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;Hemifamity family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&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;Hemifamity family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&gt;
Line 114: Line 114:
[|1 0 0 0&amp;gt;, |5/4 1/4 1/8 -1/8&amp;gt;, &lt;br /&gt;
[|1 0 0 0&amp;gt;, |5/4 1/4 1/8 -1/8&amp;gt;, &lt;br /&gt;
|0 0 1 0&amp;gt;, |5/2 -3/2 1/4 3/4&amp;gt;]&lt;br /&gt;
|0 0 1 0&amp;gt;, |5/2 -3/2 1/4 3/4&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 5/4, 9/7&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4, 9/7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063&lt;br /&gt;
Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063&lt;br /&gt;
Line 124: Line 124:
&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-Pele"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pele&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-Pele"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pele&lt;/h3&gt;
Commas: 441/440, 896/891&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 441/440, 896/891&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning&lt;br /&gt;
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |17/10 0 1/10 0 -1/10&amp;gt;, &lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |17/10 0 1/10 0 -1/10&amp;gt;, &lt;br /&gt;
|17/5 -2 6/5 0 -1/5&amp;gt;,&lt;br /&gt;
|17/5 -2 6/5 0 -1/5&amp;gt;,&lt;br /&gt;
|16/5 -2 3/5 0 2/5&amp;gt;, |17/5 -2 1/5 0 4/5&amp;gt;]&lt;br /&gt;
|16/5 -2 3/5 0 2/5&amp;gt;, |17/5 -2 1/5 0 4/5&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 10/9, 11/9&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 11/9&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 10 17|, &amp;lt;0 1 0 -6 -10|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 10 17|, &amp;lt;0 1 0 -6 -10|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
Edos: 128, 145, 232&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/128edo"&gt;128&lt;/a&gt;, &lt;a class="wiki_link" href="/145edo"&gt;145&lt;/a&gt;, &lt;a class="wiki_link" href="/232edo"&gt;232&lt;/a&gt;&lt;br /&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-11-limit children-Laka"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Laka&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-11-limit children-Laka"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Laka&lt;/h3&gt;
Commas: 5120/5103, 540/539&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 5120/5103, 540/539&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning&lt;br /&gt;
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |4/3 0 2/21 -1/21 1/21&amp;gt;, &lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |4/3 0 2/21 -1/21 1/21&amp;gt;, &lt;br /&gt;
|0 0 1 0 0&amp;gt;, |2 0 3/7 2/7 -2/7&amp;gt;, &lt;br /&gt;
|0 0 1 0 0&amp;gt;, |2 0 3/7 2/7 -2/7&amp;gt;, &lt;br /&gt;
|2 0 3/7 -5/7 5/7&amp;gt;]&lt;br /&gt;
|2 0 3/7 -5/7 5/7&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 5/4, 14/11&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4, 14/11&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13 limit&lt;br /&gt;
13 limit&lt;br /&gt;
Commas: 352/351, 540/539, 847/845&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 352/351, 540/539, 847/845&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13 and 15 limit minimax tuning&lt;br /&gt;
13 and 15 limit minimax tuning&lt;br /&gt;
Line 153: Line 153:
|25/8 -9/2 5/8 0 0 13/8&amp;gt;, &lt;br /&gt;
|25/8 -9/2 5/8 0 0 13/8&amp;gt;, &lt;br /&gt;
|13/4 -3 1/4 0 0 5/4&amp;gt;]&lt;br /&gt;
|13/4 -3 1/4 0 0 5/4&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 11/8, 14/13&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/8, 14/13&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
17 limit&lt;br /&gt;
17 limit&lt;br /&gt;
Commas: 352/351, 540/539, 847/845, 442/441&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 352/351, 540/539, 847/845, 442/441&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
17-limit minimax&lt;br /&gt;
17-limit minimax&lt;br /&gt;
Line 166: Line 166:
|7/4 0 0 -1/4 1/2 1/4 0&amp;gt;, &lt;br /&gt;
|7/4 0 0 -1/4 1/2 1/4 0&amp;gt;, &lt;br /&gt;
|35/12 0 0 23/12 5/6 -23/12 0&amp;gt;]&lt;br /&gt;
|35/12 0 0 23/12 5/6 -23/12 0&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 11/8, 14/13&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/8, 14/13&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 10 -18 -13 32|, &lt;br /&gt;
Map: [&amp;lt;1 0 0 10 -18 -13 32|, &lt;br /&gt;
&amp;lt;0 1 0 -6 15 12 -22|, &amp;lt;0 0 1 1 -1 -1 3|]&lt;br /&gt;
&amp;lt;0 1 0 -6 15 12 -22|, &amp;lt;0 0 1 1 -1 -1 3|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
Edos: 94, 111, 152, 205, 345&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;, &lt;a class="wiki_link" href="/111edo"&gt;111], [[152edo|152&lt;/a&gt;, &lt;a class="wiki_link" href="/205edo"&gt;205&lt;/a&gt;, &lt;a class="wiki_link" href="/345edo"&gt;345&lt;/a&gt;&lt;br /&gt;
&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-11-limit children-Akea"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Akea&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-11-limit children-Akea"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Akea&lt;/h3&gt;
Commas: 385/384, 2200/2187&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 385/384, 2200/2187&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning&lt;br /&gt;
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |4/3 0 2/21 -1/21 1/21&amp;gt;, &lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |4/3 0 2/21 -1/21 1/21&amp;gt;, &lt;br /&gt;
|0 0 1 0 0&amp;gt;, |2 0 3/7 2/7 -2/7&amp;gt;, &lt;br /&gt;
|0 0 1 0 0&amp;gt;, |2 0 3/7 2/7 -2/7&amp;gt;, &lt;br /&gt;
|2 0 3/7 -5/7 5/7&amp;gt;]&lt;br /&gt;
|2 0 3/7 -5/7 5/7&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 14/11, 7/5&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 14/11, 7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 10 -3|, &amp;lt;0 1 0 -6 7|, &amp;lt;0 0 1 1 -2|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 10 -3|, &amp;lt;0 1 0 -6 7|, &amp;lt;0 0 1 1 -2|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
Edos: 94, 140, 181, 408&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;, &lt;a class="wiki_link" href="/140edo"&gt;140&lt;/a&gt;, &lt;a class="wiki_link" href="/181edo"&gt;181&lt;/a&gt;, &lt;a class="wiki_link" href="/408edo"&gt;408&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-11-limit children-Kapo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Kapo&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-11-limit children-Kapo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Kapo&lt;/h3&gt;
Commas: 5120/5103, 3025/3024&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 5120/5103, 3025/3024&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning&lt;br /&gt;
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |8/5 2/5 0 -1/15 -2/15&amp;gt;, &lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |8/5 2/5 0 -1/15 -2/15&amp;gt;, &lt;br /&gt;
|14/5 6/5 0 7/15 -16/15&amp;gt;, &lt;br /&gt;
|14/5 6/5 0 7/15 -16/15&amp;gt;, &lt;br /&gt;
|16/5 -6/5 0 13/15 -4/15&amp;gt;, &lt;br /&gt;
|16/5 -6/5 0 13/15 -4/15&amp;gt;, &lt;br /&gt;
|16/5 -6/5 0 -2/15 11/15&amp;gt;]&lt;br /&gt;
|16/5 -6/5 0 -2/15 11/15&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 11/9, 9/7&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/9, 9/7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 10 7|, &amp;lt;0 1 1 -5 -2|, &amp;lt;0 0 2 2 -1|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 10 7|, &amp;lt;0 1 1 -5 -2|, &amp;lt;0 0 2 2 -1|]&lt;br /&gt;
Generators: 2, 3, 128/99&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 128/99&lt;br /&gt;
Edos: 152, 198, 239, 350, 391, 478, 589&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="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/198edo"&gt;198&lt;/a&gt;, &lt;a class="wiki_link" href="/239edo"&gt;239&lt;/a&gt;, &lt;a class="wiki_link" href="/350edo"&gt;350&lt;/a&gt;, &lt;a class="wiki_link" href="/391edo"&gt;391&lt;/a&gt;, &lt;a class="wiki_link" href="/478edo"&gt;478&lt;/a&gt;, &lt;a class="wiki_link" href="/589edo"&gt;589&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 16:01, 23 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 2010-09-23 16:01:44 UTC.
The original revision id was 164978201.
The revision comment was: links added, some of them should describe the terminology

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Original Wikitext content:

===Vital statistics===
[[Comma]] c = 5120/5103

7-limit minimax: 3 and 7 1/7c sharp, 5 just
[|1 0 0 0>, |10/7 1/7 1/7 -1/7>, 
|0 0 1 0>, |10/7 -6/7 1/7 6/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 7/6

9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp
[|1 0 0 0>, |5/4 1/4 1/8 -1/8>, 
|0 0 1 0>, |5/2 -3/2 1/4 3/4>]
[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 9/7

Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063
Angle(3/2, 10/9) = 82.112 degrees
Map to lattice: [<0 1 2 -4|, <0 0 1 1|]
[[edo|EDOs]]: [[99edo|99]], [[140edo|140]], [[239edo|239]], [[292edo|292]], [[490edo|490]], [[531edo|531]]

==11-limit children==

===Pele===
[[Comma|Commas]]: 441/440, 896/891

[[Minimax tuning]]
[|1 0 0 0 0>, |17/10 0 1/10 0 -1/10>, 
|17/5 -2 6/5 0 -1/5>,
|16/5 -2 3/5 0 2/5>, |17/5 -2 1/5 0 4/5>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9

Map: [<1 0 0 10 17|, <0 1 0 -6 -10|, <0 0 1 1 1|]
[[Generator|Generators]]: 2, 3, 5
[[edo|Edos]]: [[128edo|128]], [[145edo|145]], [[232edo|232]]

===Laka===
[[Comma|Commas]]: 5120/5103, 540/539

[[Minimax tuning]]
[|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, 
|0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, 
|2 0 3/7 -5/7 5/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 14/11

13 limit
[[Comma|Commas]]: 352/351, 540/539, 847/845

13 and 15 limit minimax tuning
[|1 0 0 0 0 0>, |13/8 -1/2 1/8 0 0 1/8>, 
|13/4 -3 5/4 0 0 1/4>, |7/2 0 1/2 0 0 -1/2>, 
|25/8 -9/2 5/8 0 0 13/8>, 
|13/4 -3 1/4 0 0 5/4>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13

17 limit
[[Comma|Commas]]: 352/351, 540/539, 847/845, 442/441

17-limit minimax
[|1 0 0 0 0 0 0>, 
|13/12 0 0 1/12 1/6 -1/12 0>, 
|-7/4 0 0 5/4 3/2 -5/4 0>, 
|7/4 0 0 3/4 1/2 -3/4 0>, 
|0 0 0 0 1 0 0>, 
|7/4 0 0 -1/4 1/2 1/4 0>, 
|35/12 0 0 23/12 5/6 -23/12 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13

Map: [<1 0 0 10 -18 -13 32|, 
<0 1 0 -6 15 12 -22|, <0 0 1 1 -1 -1 3|]
[[Generator|Generators]]: 2, 3, 5
[[edo|Edos]]: [[94edo|94]], [[111edo|111], [[152edo|152]], [[205edo|205]], [[345edo|345]]

===Akea===
[[Comma|Commas]]: 385/384, 2200/2187

[[Minimax tuning]]
[|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, 
|0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, 
|2 0 3/7 -5/7 5/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 7/5

Map: [<1 0 0 10 -3|, <0 1 0 -6 7|, <0 0 1 1 -2|]
[[Generator|Generators]]: 2, 3, 5
[[edo|EDOs]]: [[94edo|94]], [[140edo|140]], [[181edo|181]], [[408edo|408]]

===Kapo===
[[Comma|Commas]]: 5120/5103, 3025/3024

[[Minimax tuning]]
[|1 0 0 0 0>, |8/5 2/5 0 -1/15 -2/15>, 
|14/5 6/5 0 7/15 -16/15>, 
|16/5 -6/5 0 13/15 -4/15>, 
|16/5 -6/5 0 -2/15 11/15>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 9/7

Map: [<1 0 0 10 7|, <0 1 1 -5 -2|, <0 0 2 2 -1|]
[[Generator|Generators]]: 2, 3, 128/99
[[edo|EDOs]]: [[152edo|152]], [[198edo|198]], [[239edo|239]], [[350edo|350]], [[391edo|391]], [[478edo|478]], [[589edo|589]]

Original HTML content:

<html><head><title>Hemifamity family</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3>
<a class="wiki_link" href="/Comma">Comma</a> c = 5120/5103<br />
<br />
7-limit minimax: 3 and 7 1/7c sharp, 5 just<br />
[|1 0 0 0&gt;, |10/7 1/7 1/7 -1/7&gt;, <br />
|0 0 1 0&gt;, |10/7 -6/7 1/7 6/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 7/6<br />
<br />
9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp<br />
[|1 0 0 0&gt;, |5/4 1/4 1/8 -1/8&gt;, <br />
|0 0 1 0&gt;, |5/2 -3/2 1/4 3/4&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 9/7<br />
<br />
Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063<br />
Angle(3/2, 10/9) = 82.112 degrees<br />
Map to lattice: [&lt;0 1 2 -4|, &lt;0 0 1 1|]<br />
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/99edo">99</a>, <a class="wiki_link" href="/140edo">140</a>, <a class="wiki_link" href="/239edo">239</a>, <a class="wiki_link" href="/292edo">292</a>, <a class="wiki_link" href="/490edo">490</a>, <a class="wiki_link" href="/531edo">531</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-11-limit children"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit children</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11-limit children-Pele"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pele</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 441/440, 896/891<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |17/10 0 1/10 0 -1/10&gt;, <br />
|17/5 -2 6/5 0 -1/5&gt;,<br />
|16/5 -2 3/5 0 2/5&gt;, |17/5 -2 1/5 0 4/5&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 11/9<br />
<br />
Map: [&lt;1 0 0 10 17|, &lt;0 1 0 -6 -10|, &lt;0 0 1 1 1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/128edo">128</a>, <a class="wiki_link" href="/145edo">145</a>, <a class="wiki_link" href="/232edo">232</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-11-limit children-Laka"></a><!-- ws:end:WikiTextHeadingRule:6 -->Laka</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 5120/5103, 540/539<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;, <br />
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;, <br />
|2 0 3/7 -5/7 5/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 14/11<br />
<br />
13 limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: 352/351, 540/539, 847/845<br />
<br />
13 and 15 limit minimax tuning<br />
[|1 0 0 0 0 0&gt;, |13/8 -1/2 1/8 0 0 1/8&gt;, <br />
|13/4 -3 5/4 0 0 1/4&gt;, |7/2 0 1/2 0 0 -1/2&gt;, <br />
|25/8 -9/2 5/8 0 0 13/8&gt;, <br />
|13/4 -3 1/4 0 0 5/4&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/8, 14/13<br />
<br />
17 limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: 352/351, 540/539, 847/845, 442/441<br />
<br />
17-limit minimax<br />
[|1 0 0 0 0 0 0&gt;, <br />
|13/12 0 0 1/12 1/6 -1/12 0&gt;, <br />
|-7/4 0 0 5/4 3/2 -5/4 0&gt;, <br />
|7/4 0 0 3/4 1/2 -3/4 0&gt;, <br />
|0 0 0 0 1 0 0&gt;, <br />
|7/4 0 0 -1/4 1/2 1/4 0&gt;, <br />
|35/12 0 0 23/12 5/6 -23/12 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/8, 14/13<br />
<br />
Map: [&lt;1 0 0 10 -18 -13 32|, <br />
&lt;0 1 0 -6 15 12 -22|, &lt;0 0 1 1 -1 -1 3|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/94edo">94</a>, <a class="wiki_link" href="/111edo">111], [[152edo|152</a>, <a class="wiki_link" href="/205edo">205</a>, <a class="wiki_link" href="/345edo">345</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-11-limit children-Akea"></a><!-- ws:end:WikiTextHeadingRule:8 -->Akea</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 385/384, 2200/2187<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;, <br />
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;, <br />
|2 0 3/7 -5/7 5/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 14/11, 7/5<br />
<br />
Map: [&lt;1 0 0 10 -3|, &lt;0 1 0 -6 7|, &lt;0 0 1 1 -2|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br />
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/94edo">94</a>, <a class="wiki_link" href="/140edo">140</a>, <a class="wiki_link" href="/181edo">181</a>, <a class="wiki_link" href="/408edo">408</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-11-limit children-Kapo"></a><!-- ws:end:WikiTextHeadingRule:10 -->Kapo</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 5120/5103, 3025/3024<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |8/5 2/5 0 -1/15 -2/15&gt;, <br />
|14/5 6/5 0 7/15 -16/15&gt;, <br />
|16/5 -6/5 0 13/15 -4/15&gt;, <br />
|16/5 -6/5 0 -2/15 11/15&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9, 9/7<br />
<br />
Map: [&lt;1 0 0 10 7|, &lt;0 1 1 -5 -2|, &lt;0 0 2 2 -1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 128/99<br />
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/198edo">198</a>, <a class="wiki_link" href="/239edo">239</a>, <a class="wiki_link" href="/350edo">350</a>, <a class="wiki_link" href="/391edo">391</a>, <a class="wiki_link" href="/478edo">478</a>, <a class="wiki_link" href="/589edo">589</a></body></html>
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