Hemimean family: Difference between revisions
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Wikispaces>xenwolf **Imported revision 165455393 - Original comment: links** |
Wikispaces>genewardsmith **Imported revision 176991185 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-06 00:15:04 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>176991185</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
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|24/11 -4/11 -13/11 2/11 13/11>] | |24/11 -4/11 -13/11 2/11 13/11>] | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7 | ||
Lattice basis: 28/25 0.3829 16/15 1.1705 | |||
Angle(28/25, 16/15) = 93.2696 | |||
Map to lattice: [<0 -2 2 5 4|, <0 -1 0 0 -2|] | |||
Map: [<1 0 0 -3 -9|, <0 1 0 0 2|, [0 0 2 5 8|] | Map: [<1 0 0 -3 -9|, <0 1 0 0 2|, [0 0 2 5 8|] | ||
Line 73: | Line 77: | ||
|24/11 -4/11 -13/11 2/11 13/11&gt;]<br /> | |24/11 -4/11 -13/11 2/11 13/11&gt;]<br /> | ||
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 9/7<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 9/7<br /> | ||
<br /> | |||
Lattice basis: 28/25 0.3829 16/15 1.1705<br /> | |||
Angle(28/25, 16/15) = 93.2696<br /> | |||
Map to lattice: [&lt;0 -2 2 5 4|, &lt;0 -1 0 0 -2|]<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 0 0 -3 -9|, &lt;0 1 0 0 2|, [0 0 2 5 8|]<br /> | Map: [&lt;1 0 0 -3 -9|, &lt;0 1 0 0 2|, [0 0 2 5 8|]<br /> |
Revision as of 00:15, 6 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 2010-11-06 00:15:04 UTC.
- The original revision id was 176991185.
- 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]]: 3136/3125, hemimean 7 and 9 limit minimax [|1 0 0 0>, |0 1 0 0>, |6/5 0 0 2/5>, |0 0 0 1>] [[Eigenmonzo|Eigenmonzos]]: 2, 7/6, 4/3 Lattice basis: 28/25 length 0.5055 3/2 length 1.5849 Angle(28/25, 3/2) = 90 degrees Map to lattice: [<0 0 2 5|, <0 1 0 0|] Map: [<1 0 0 -3|, <0 1 0 0|, <0 0 2 5|] [[Generator|Generators]]: 2, 3, 56/25 [[edo|Edos]]: [[217edo|217]], [[229edo|229]], [[328edo|328]], [[359edo|359]], [[446edo|446]] ==11 limit children== ===Belobog=== [[Comma|Commas]]: 3136/3125, 441/440 11 limit minimax [|1 0 0 0 0>, |27/22 6/11 -5/22 -3/11 5/22>, |24/11 -4/11 -2/11 2/11 2/11>, |27/11 -10/11 -5/11 5/11 5/11>, |24/11 -4/11 -13/11 2/11 13/11>] [[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7 Lattice basis: 28/25 0.3829 16/15 1.1705 Angle(28/25, 16/15) = 93.2696 Map to lattice: [<0 -2 2 5 4|, <0 -1 0 0 -2|] Map: [<1 0 0 -3 -9|, <0 1 0 0 2|, [0 0 2 5 8|] [[Generator|Generators]]: 2, 3, 56/25 [[edo|Edos]]: [[248edo|248]], [[378edo|378]], [[626edo|626]] ===Siebog=== [[Comma|Commas]]: 3136/3125, 540/539 11 limit minimax [|1 0 0 0 0>, |0 1 0 0 0>, |8/5 3/5 1/5 0 -1/5>, |1 3/2 1/2 0 -1/2>, |8/5 3/5 -4/5 0 4/5>] [[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 4/3 Map: [<1 0 0 -3 8|, <0 1 0 0 3|, <0 0 2 5 -8|] [[Generator|Generators]]: 2, 3, 768/343 [[edo|Edos]]: [[130edo|130]], [[241edo|241]]
Original HTML content:
<html><head><title>Hemimean family</title></head><body><a class="wiki_link" href="/Comma">Comma</a>: 3136/3125, hemimean<br /> <br /> 7 and 9 limit minimax<br /> [|1 0 0 0>, |0 1 0 0>, |6/5 0 0 2/5>, |0 0 0 1>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/6, 4/3<br /> <br /> Lattice basis: 28/25 length 0.5055 3/2 length 1.5849<br /> Angle(28/25, 3/2) = 90 degrees<br /> Map to lattice: [<0 0 2 5|, <0 1 0 0|]<br /> <br /> Map: [<1 0 0 -3|, <0 1 0 0|, <0 0 2 5|] <br /> <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 56/25<br /> <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/217edo">217</a>, <a class="wiki_link" href="/229edo">229</a>, <a class="wiki_link" href="/328edo">328</a>, <a class="wiki_link" href="/359edo">359</a>, <a class="wiki_link" href="/446edo">446</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-11 limit children-Belobog"></a><!-- ws:end:WikiTextHeadingRule:2 -->Belobog</h3> <a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 441/440<br /> <br /> 11 limit minimax<br /> [|1 0 0 0 0>, |27/22 6/11 -5/22 -3/11 5/22>, <br /> |24/11 -4/11 -2/11 2/11 2/11>, <br /> |27/11 -10/11 -5/11 5/11 5/11>, <br /> |24/11 -4/11 -13/11 2/11 13/11>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 9/7<br /> <br /> Lattice basis: 28/25 0.3829 16/15 1.1705<br /> Angle(28/25, 16/15) = 93.2696<br /> Map to lattice: [<0 -2 2 5 4|, <0 -1 0 0 -2|]<br /> <br /> Map: [<1 0 0 -3 -9|, <0 1 0 0 2|, [0 0 2 5 8|]<br /> <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 56/25<br /> <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/248edo">248</a>, <a class="wiki_link" href="/378edo">378</a>, <a class="wiki_link" href="/626edo">626</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-11 limit children-Siebog"></a><!-- ws:end:WikiTextHeadingRule:4 -->Siebog</h3> <a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 540/539<br /> <br /> 11 limit minimax<br /> [|1 0 0 0 0>, |0 1 0 0 0>, |8/5 3/5 1/5 0 -1/5>, <br /> |1 3/2 1/2 0 -1/2>, |8/5 3/5 -4/5 0 4/5>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 4/3<br /> <br /> Map: [<1 0 0 -3 8|, <0 1 0 0 3|, <0 0 2 5 -8|]<br /> <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 768/343<br /> <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/130edo">130</a>, <a class="wiki_link" href="/241edo">241</a></body></html>