Sensamagic family: Difference between revisions

Revision as of 16:45, 23 June 2011

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 2011-06-23 16:45:05 UTC.

The original revision id was 238457167.

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:

[[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

===[[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

==Unidecimal 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]]
Badness: 0.000722

==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
Badness: 0.00120

Original HTML content:

<html><head><title>Sensamagic family</title></head><body><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 />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:0 --><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:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Unidecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:2 -->Unidecimal 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><br />
Badness: 0.000722<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->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<br />
Badness: 0.00120</body></html>

@@ 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>2011-01-02 14:46:16 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-23 16:45:05 UTC</tt>.<br>
-: The original revision id was <tt>190500438</tt>.<br>
+: The original revision id was <tt>238457167</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: 245/243
+<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]]: 245/243
--limit minimax
+[[7-limit]] [[minimax]]
 [|1 0 0 0&gt;, |0 0 1/5 2/5&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]
-Eigenmonzos: 2, 8/7, 5/4
+[[Eigenmonzo]]s: 2, 8/7, 5/4
--limit minimax
+[[9-limit]] minimax
 [|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;]
 Eigenmonzos: 2, 4/3, 7/5
@@ Line 22: / Line 22: @@
 Map: [&lt;1 0 0 0|, &lt;0 1 1 2|, &lt;0 0 2 -1|]
 Generators: 2, 3, 9/7
-Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237
+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
+[[Badness]]: 0.000129
 ===[[Minkowski blocks]]===
@@ Line 37: / Line 37: @@
 Commas: 245/243, 385/384
--limit minimax
+[[11-limit]] minimax
 [|1 0 0 0 0&gt;, |21/13 6/13 -1/13 1/13 -3/13&gt;,
 |35/13 10/13 7/13 -7/13 -5/13&gt;,
@@ Line 46: / Line 46: @@
 Map: [&lt;1 0 0 0 7|, &lt;0 1 1 2 -2|, &lt;0 0 2 -1 -1|]
 Generators: 2, 3, 9/7
-EDOs: 5, 17, 19, 22, 41, 68, 87, 196, 283
+EDOs: [[5edo|5]], 17, 19, 22, 41, 68, 87, [[196edo|196]], [[283edo|283]]
 Badness: 0.000722
@@ Line 57: / Line 57: @@
 Badness: 0.00120</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;Sensamagic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comma: 245/243&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;Sensamagic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 245/243&lt;br /&gt;
 &lt;br /&gt;
--limit minimax&lt;br /&gt;
+&lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; &lt;a class="wiki_link" href="/minimax"&gt;minimax&lt;/a&gt;&lt;br /&gt;
 [|1 0 0 0&amp;gt;, |0 0 1/5 2/5&amp;gt;, |0 0 1 0&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 8/7, 5/4&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzo&lt;/a&gt;s: 2, 8/7, 5/4&lt;br /&gt;
 &lt;br /&gt;
--limit minimax&lt;br /&gt;
+&lt;a class="wiki_link" href="/9-limit"&gt;9-limit&lt;/a&gt; minimax&lt;br /&gt;
 [|1 0 0 0&amp;gt;, |0 1 0 0&amp;gt;, |0 5/3 2/3 -2/3&amp;gt;, |0 5/3 -1/3 1/3&amp;gt;]&lt;br /&gt;
 Eigenmonzos: 2, 4/3, 7/5 &lt;br /&gt;
@@ Line 73: / Line 73: @@
 Map: [&amp;lt;1 0 0 0|, &amp;lt;0 1 1 2|, &amp;lt;0 0 2 -1|]&lt;br /&gt;
 Generators: 2, 3, 9/7&lt;br /&gt;
-Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237&lt;br /&gt;
+Edos: &lt;a class="wiki_link" href="/17edo"&gt;,17&lt;/a&gt; &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/24edo"&gt;24&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/60edo"&gt;60&lt;/a&gt;, &lt;a class="wiki_link" href="/68edo"&gt;68&lt;/a&gt;, &lt;a class="wiki_link" href="/87edo"&gt;87&lt;/a&gt;, &lt;a class="wiki_link" href="/109edo"&gt;109&lt;/a&gt;, &lt;a class="wiki_link" href="/128edo"&gt;128&lt;/a&gt;, &lt;a class="wiki_link" href="/169edo"&gt;169&lt;/a&gt;, &lt;a class="wiki_link" href="/177edo"&gt;177&lt;/a&gt;, &lt;a class="wiki_link" href="/237edo"&gt;237&lt;/a&gt;&lt;br /&gt;
-Badness: 0.000129&lt;br /&gt;
+&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.000129&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Minkowski blocks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;a class="wiki_link" href="/Minkowski%20blocks"&gt;Minkowski blocks&lt;/a&gt;&lt;/h3&gt;
@@ Line 88: / Line 88: @@
 Commas: 245/243, 385/384&lt;br /&gt;
 &lt;br /&gt;
--limit minimax&lt;br /&gt;
+&lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; minimax&lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |21/13 6/13 -1/13 1/13 -3/13&amp;gt;, &lt;br /&gt;
 |35/13 10/13 7/13 -7/13 -5/13&amp;gt;, &lt;br /&gt;
@@ Line 97: / Line 97: @@
 Map: [&amp;lt;1 0 0 0 7|, &amp;lt;0 1 1 2 -2|, &amp;lt;0 0 2 -1 -1|]&lt;br /&gt;
 Generators: 2, 3, 9/7&lt;br /&gt;
-EDOs: 5, 17, 19, 22, 41, 68, 87, 196, 283&lt;br /&gt;
+EDOs: &lt;a class="wiki_link" href="/5edo"&gt;5&lt;/a&gt;, 17, 19, 22, 41, 68, 87, &lt;a class="wiki_link" href="/196edo"&gt;196&lt;/a&gt;, &lt;a class="wiki_link" href="/283edo"&gt;283&lt;/a&gt;&lt;br /&gt;
 Badness: 0.000722&lt;br /&gt;
 &lt;br /&gt;

Sensamagic family: Difference between revisions

Revision as of 16:45, 23 June 2011

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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