Sensamagic family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 302676756 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 302677848 - Original comment: ** |
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<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>2012-02-17 03: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-17 03:29:34 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>302677848</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> | ||
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EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf | EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf | ||
Badness: 0.001125 | Badness: 0.001125 | ||
=Sensigh= | |||
Commas: 91/90, 126/125, 169/168 | |||
Map: [<1 6 8 11 0 10|, <0 -7 -9 -13 0 -10|, <0 0 0 0 1 0|] | |||
EDOs: 19, 27, 46, 111df, 157df | |||
Badness: 0.000939 | |||
</pre></div> | </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"><html><head><title>Sensamagic family</title></head><body><!-- ws:start:WikiTextTocRule: | <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"><html><head><title>Sensamagic 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="#Sensamagic">Sensamagic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><div style="margin-left: 3em;"><a href="#Sensamagic--Minkowski blocks">Minkowski blocks</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 2em;"><a href="#Sensamagic-Undecimal sensamagic">Undecimal sensamagic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 2em;"><a href="#Sensamagic-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#Sensawer">Sensawer</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 2em;"><a href="#Sensawer-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 1em;"><a href="#Octarod">Octarod</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 1em;"><a href="#Shrusus">Shrusus</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#Shrusus-Shrusic">Shrusic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 1em;"><a href="#Sensigh">Sensigh</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- 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="Sensamagic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensamagic</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Sensamagic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensamagic</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>: 245/243<br /> | <a class="wiki_link" href="/Comma">Comma</a>: 245/243<br /> | ||
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Map: [&lt;1 0 0 0 -4 1|, &lt;0 1 1 2 4 1|, &lt;0 0 2 -1 3 3|]<br /> | Map: [&lt;1 0 0 0 -4 1|, &lt;0 1 1 2 4 1|, &lt;0 0 2 -1 3 3|]<br /> | ||
EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf<br /> | EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf<br /> | ||
Badness: 0.001125</body></html></pre></div> | Badness: 0.001125<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Sensigh"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sensigh</h1> | |||
Commas: 91/90, 126/125, 169/168<br /> | |||
<br /> | |||
Map: [&lt;1 6 8 11 0 10|, &lt;0 -7 -9 -13 0 -10|, &lt;0 0 0 0 1 0|]<br /> | |||
EDOs: 19, 27, 46, 111df, 157df<br /> | |||
Badness: 0.000939</body></html></pre></div> |
Revision as of 03:29, 17 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 2012-02-17 03:29:34 UTC.
- The original revision id was 302677848.
- 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]] =Sensamagic= [[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 [[Projection pair]]: 5 243/49 to 2.3.7 ===[[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 ==Undecimal 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]], 607bd, 694bd Badness: 0.000722 Projection pairs: 5 243/49 11 896/81 to 2.3.7 ==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, 324d, 370bd, 411bd, 607bd, 694bd Badness: 0.00120 =Sensawer= Commas: 245/243, 441/440 Map: [<1 0 0 0 -3|, <0 1 1 2 5|, <0 0 2 -1 -4|] EDOs: 41, 87, 302d, 389d, 476bd Badness: 0.000796 ==13-limit== Commas: 196/195, 245/243, 352/351 Map: [<1 0 0 0 -3 2|, <0 1 1 2 5 2|, <0 0 2 -1 -4 -4|] EDOs: 41, 46, 87, 522bd Badness: 0.000928 =Octarod= Commas: 100/99, 245/243 Map: [<1 0 0 0 2|, <0 1 1 2 0|, <0 0 2 -1 4|] EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e Badness: 0.000581 =Shrusus= Commas: 176/175, 245/243 Map: [<1 0 0 0 -4|, <0 1 1 2 4|, <0 0 2 -1 3|] EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc Badness: 0.000877 ==Shrusic== Commas: 91/90, 176/175, 245/243 Map: [<1 0 0 0 -4 1|, <0 1 1 2 4 1|, <0 0 2 -1 3 3|] EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf Badness: 0.001125 =Sensigh= Commas: 91/90, 126/125, 169/168 Map: [<1 6 8 11 0 10|, <0 -7 -9 -13 0 -10|, <0 0 0 0 1 0|] EDOs: 19, 27, 46, 111df, 157df Badness: 0.000939
Original HTML content:
<html><head><title>Sensamagic family</title></head><body><!-- ws:start:WikiTextTocRule:20:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><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="#Sensamagic">Sensamagic</a></div> <!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><div style="margin-left: 3em;"><a href="#Sensamagic--Minkowski blocks">Minkowski blocks</a></div> <!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 2em;"><a href="#Sensamagic-Undecimal sensamagic">Undecimal sensamagic</a></div> <!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 2em;"><a href="#Sensamagic-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#Sensawer">Sensawer</a></div> <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 2em;"><a href="#Sensawer-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 1em;"><a href="#Octarod">Octarod</a></div> <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 1em;"><a href="#Shrusus">Shrusus</a></div> <!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#Shrusus-Shrusic">Shrusic</a></div> <!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 1em;"><a href="#Sensigh">Sensigh</a></div> <!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --></div> <!-- ws:end:WikiTextTocRule:31 --><br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Sensamagic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensamagic</h1> <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>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]<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>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>]<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: [<0 1 1 2|, <0 0 2 -1|]<br /> <br /> Map: [<1 0 0 0|, <0 1 1 2|, <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 /> <a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 5 243/49 to 2.3.7<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="Sensamagic--Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:2 --><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:4:<h2> --><h2 id="toc2"><a name="Sensamagic-Undecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Undecimal 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>, |21/13 6/13 -1/13 1/13 -3/13>, <br /> |35/13 10/13 7/13 -7/13 -5/13>, <br /> |35/13 10/13 -6/13 6/13 -5/13>, <br /> |42/13 -14/13 -2/13 2/13 7/13>]<br /> Eigenmonzos: 2, 11/9, 7/5<br /> <br /> Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <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>, 607bd, 694bd<br /> Badness: 0.000722<br /> <br /> Projection pairs: 5 243/49 11 896/81 to 2.3.7<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Sensamagic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> Commas: 245/243, 352/351, 385/384<br /> <br /> Map: [<1 0 0 0 7 12|, <0 1 1 2 -2 -5|, <0 0 2 -1 -1 -1|]<br /> Generators: 2, 3, 9/7<br /> EDOs: 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd<br /> Badness: 0.00120<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Sensawer"></a><!-- ws:end:WikiTextHeadingRule:8 -->Sensawer</h1> Commas: 245/243, 441/440<br /> <br /> Map: [<1 0 0 0 -3|, <0 1 1 2 5|, <0 0 2 -1 -4|]<br /> EDOs: 41, 87, 302d, 389d, 476bd<br /> Badness: 0.000796<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Sensawer-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> Commas: 196/195, 245/243, 352/351<br /> <br /> Map: [<1 0 0 0 -3 2|, <0 1 1 2 5 2|, <0 0 2 -1 -4 -4|]<br /> EDOs: 41, 46, 87, 522bd<br /> Badness: 0.000928<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Octarod"></a><!-- ws:end:WikiTextHeadingRule:12 -->Octarod</h1> Commas: 100/99, 245/243<br /> <br /> Map: [<1 0 0 0 2|, <0 1 1 2 0|, <0 0 2 -1 4|]<br /> EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e <br /> Badness: 0.000581<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="Shrusus"></a><!-- ws:end:WikiTextHeadingRule:14 -->Shrusus</h1> Commas: 176/175, 245/243<br /> <br /> Map: [<1 0 0 0 -4|, <0 1 1 2 4|, <0 0 2 -1 3|]<br /> EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc<br /> Badness: 0.000877<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Shrusus-Shrusic"></a><!-- ws:end:WikiTextHeadingRule:16 -->Shrusic</h2> Commas: 91/90, 176/175, 245/243<br /> <br /> Map: [<1 0 0 0 -4 1|, <0 1 1 2 4 1|, <0 0 2 -1 3 3|]<br /> EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf<br /> Badness: 0.001125<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><a name="Sensigh"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sensigh</h1> Commas: 91/90, 126/125, 169/168<br /> <br /> Map: [<1 6 8 11 0 10|, <0 -7 -9 -13 0 -10|, <0 0 0 0 1 0|]<br /> EDOs: 19, 27, 46, 111df, 157df<br /> Badness: 0.000939</body></html>