Hemimean family
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- This revision was by author genewardsmith and made on 2010-11-06 02:55:54 UTC.
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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]] Scales: [[belobog31]] ===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 /> Scales: <a class="wiki_link" href="/belobog31">belobog31</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>