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Wikispaces>genewardsmith **Imported revision 247577769 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 277343772 - 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>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-20 07:07:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>277343772</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> | ||
<h4>Original Wikitext content:</h4> | <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">[[toc]] | ||
=Sensamagic= | |||
[[Comma]]: 245/243 | |||
[[7-limit]] [[minimax]] | [[7-limit]] [[minimax]] | ||
| Line 48: | Line 51: | ||
Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|] | Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|] | ||
Generators: 2, 3, 9/7 | Generators: 2, 3, 9/7 | ||
EDOs: [[5edo|5]], 17, 19, 22, 41, 68, 87, [[196edo|196]], [[283edo|283]] | EDOs: [[5edo|5]], 17, 19, 22, 41, 68, 87, [[196edo|196]], [[283edo|283]], 607bd, 694bd | ||
Badness: 0.000722 | Badness: 0.000722 | ||
| Line 58: | Line 61: | ||
Map: [<1 0 0 0 7 12|, <0 1 1 2 -2 -5|, <0 0 2 -1 -1 -1|] | Map: [<1 0 0 0 7 12|, <0 1 1 2 -2 -5|, <0 0 2 -1 -1 -1|] | ||
Generators: 2, 3, 9/7 | Generators: 2, 3, 9/7 | ||
EDOs: 17, 22, 41, 46, 63, 87, 237, 283 | EDOs: 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd | ||
Badness: 0.00120</pre></div> | 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 | |||
</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><a class="wiki_link" href="/Comma">Comma</a>: 245/243<br /> | <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:12:&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:12 --><!-- ws:start:WikiTextTocRule:13: --><div style="margin-left: 1em;"><a href="#Sensamagic">Sensamagic</a></div> | ||
<!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><div style="margin-left: 3em;"><a href="#Sensamagic--Minkowski blocks">Minkowski blocks</a></div> | |||
<!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><div style="margin-left: 2em;"><a href="#Sensamagic-Unidecimal sensamagic">Unidecimal sensamagic</a></div> | |||
<!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><div style="margin-left: 2em;"><a href="#Sensamagic-13-limit">13-limit</a></div> | |||
<!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><div style="margin-left: 1em;"><a href="#Sensawer">Sensawer</a></div> | |||
<!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><div style="margin-left: 2em;"><a href="#Sensawer-13-limit">13-limit</a></div> | |||
<!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --></div> | |||
<!-- ws:end:WikiTextTocRule:19 --><br /> | |||
<!-- 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 /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/minimax">minimax</a><br /> | <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/minimax">minimax</a><br /> | ||
| Line 82: | Line 109: | ||
<a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 5 243/49 to 2.3.7<br /> | <a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 5 243/49 to 2.3.7<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><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 /> | {2, 3, 7} subgroup<br /> | ||
<br /> | <br /> | ||
| Line 91: | Line 118: | ||
24: 64/63, 15059072/14348907<br /> | 24: 64/63, 15059072/14348907<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Sensamagic-Unidecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Unidecimal sensamagic</h2> | ||
Commas: 245/243, 385/384<br /> | Commas: 245/243, 385/384<br /> | ||
<br /> | <br /> | ||
| Line 103: | Line 130: | ||
Map: [&lt;1 0 0 0 7|, &lt;0 1 1 2 -2|, &lt;0 0 2 -1 -1|]<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 /> | 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 /> | 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 /> | Badness: 0.000722<br /> | ||
<br /> | <br /> | ||
Projection pairs: 5 243/49 11 896/81 to 2.3.7<br /> | Projection pairs: 5 243/49 11 896/81 to 2.3.7<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Sensamagic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | ||
Commas: 245/243, 352/351, 385/384<br /> | Commas: 245/243, 352/351, 385/384<br /> | ||
<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 /> | 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 /> | Generators: 2, 3, 9/7<br /> | ||
EDOs: 17, 22, 41, 46, 63, 87, 237, 283<br /> | EDOs: 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd<br /> | ||
Badness: 0.00120</body></html></pre></div> | Badness: 0.00120<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Sensawer"></a><!-- ws:end:WikiTextHeadingRule:8 -->Sensawer</h1> | |||
Commas: 245/243, 441/440<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 0 -3|, &lt;0 1 1 2 5|, &lt;0 0 2 -1 -4|]<br /> | |||
EDOs: 41, 87, 302d, 389d, 476bd<br /> | |||
Badness: 0.000796<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><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: [&lt;1 0 0 0 -3 2|, &lt;0 1 1 2 5 2|, &lt;0 0 2 -1 -4 -4|]<br /> | |||
EDOs: 41, 46, 87, 522bd<br /> | |||
Badness: 0.000928</body></html></pre></div> | |||
Revision as of 07:07, 20 November 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 genewardsmith and made on 2011-11-20 07:07:56 UTC.
- The original revision id was 277343772.
- 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
==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]], 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
Original HTML content:
<html><head><title>Sensamagic family</title></head><body><!-- ws:start:WikiTextTocRule:12:<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:12 --><!-- ws:start:WikiTextTocRule:13: --><div style="margin-left: 1em;"><a href="#Sensamagic">Sensamagic</a></div>
<!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><div style="margin-left: 3em;"><a href="#Sensamagic--Minkowski blocks">Minkowski blocks</a></div>
<!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><div style="margin-left: 2em;"><a href="#Sensamagic-Unidecimal sensamagic">Unidecimal sensamagic</a></div>
<!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><div style="margin-left: 2em;"><a href="#Sensamagic-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><div style="margin-left: 1em;"><a href="#Sensawer">Sensawer</a></div>
<!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><div style="margin-left: 2em;"><a href="#Sensawer-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --></div>
<!-- ws:end:WikiTextTocRule:19 --><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-Unidecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:4 -->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>, |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</body></html>