Sensamagic family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 173620977 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 176727535 - 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>2010- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-05 04:02:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>176727535</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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9-limit minimax | 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>] | [|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 | 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|] | Map: [<1 0 0 0|, <0 1 1 2|, <0 0 2 -1|] | ||
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9-limit minimax<br /> | 9-limit 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 /> | [|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 /> | 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 /> | <br /> | ||
Map: [&lt;1 0 0 0|, &lt;0 1 1 2|, &lt;0 0 2 -1|]<br /> | Map: [&lt;1 0 0 0|, &lt;0 1 1 2|, &lt;0 0 2 -1|]<br /> |
Revision as of 04:02, 5 November 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 genewardsmith and made on 2010-11-05 04:02:40 UTC.
- The original revision id was 176727535.
- 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>] Eigenmonzos: 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: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237 ===[[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
Original HTML content:
<html><head><title>Sensamagic family</title></head><body>Comma: 245/243<br /> <br /> 7-limit minimax<br /> [|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]<br /> Eigenmonzos: 2, 8/7, 5/4<br /> <br /> 9-limit 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: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h3> --><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</body></html>