Keemic family
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- This revision was by author genewardsmith and made on 2012-02-29 00:34:14 UTC.
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Original Wikitext content:
[[toc|flat]] These are the [[planar temperament]]s tempering out the keema, 875/864. =Supermagic= Comma: 875/864 7 and 9 limit minimax [|1 0 0 0>, |0 1 0 0>, |5/4 3/4 1/4 -1/4>, |5/4 3/4 -3/4 3/4>] Eigenmonzos: 2, 4/3, 7/5 Lattice basis: 6/5 length=0.8879 3/2 length=1.3391 Angle(6/5, 3/2) = 77.834 Map to lattice: [<0 0 -1 3|, <0 1 1 0|] Map: [<1 0 0 5|, <0 1 0 3|, <0 0 1 -3|] Generators: 2, 3, 5 Edos: 7, 8, 15, 18, 19, 22, 26, 34, 37, 41, 56, 60 [[Projection pair]]: 7 864/125 Scales: [[supermagic15]] ==11-limit== Commas: 100/99, 385/384 Map: [<1 0 0 5 2|, <0 1 0 3 -2|, <0 0 1 -3 2|] EDOs: 7, 15, 19, 22, 37, 41, 63, 104, 145c, 201ce, 242ce, 264bce, 305bce Badness: 0.000641 =Supernatural= Commas: 225/224, 245/243 Map:[<1 0 2 -1 0|, <0 5 1 12 0|, <0 0 0 0 1|] EDOs: 19, 22, 41, 82e, 101cd, 104, 123ce, 142cd, 224cde, 265cde Badness: 0.000888
Original HTML content:
<html><head><title>Keemic family</title></head><body><!-- ws:start:WikiTextTocRule:6:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Supermagic">Supermagic</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Supernatural">Supernatural</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> <!-- ws:end:WikiTextTocRule:10 --><br /> These are the <a class="wiki_link" href="/planar%20temperament">planar temperament</a>s tempering out the keema, 875/864.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Supermagic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Supermagic</h1> Comma: 875/864<br /> <br /> 7 and 9 limit minimax<br /> [|1 0 0 0>, |0 1 0 0>, |5/4 3/4 1/4 -1/4>, <br /> |5/4 3/4 -3/4 3/4>]<br /> Eigenmonzos: 2, 4/3, 7/5<br /> <br /> Lattice basis: 6/5 length=0.8879 3/2 length=1.3391<br /> Angle(6/5, 3/2) = 77.834<br /> Map to lattice: [<0 0 -1 3|, <0 1 1 0|]<br /> <br /> Map: [<1 0 0 5|, <0 1 0 3|, <0 0 1 -3|]<br /> Generators: 2, 3, 5<br /> Edos: 7, 8, 15, 18, 19, 22, 26, 34, 37, 41, 56, 60<br /> <br /> <a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 7 864/125<br /> <br /> Scales: <a class="wiki_link" href="/supermagic15">supermagic15</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Supermagic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 100/99, 385/384<br /> <br /> Map: [<1 0 0 5 2|, <0 1 0 3 -2|, <0 0 1 -3 2|]<br /> EDOs: 7, 15, 19, 22, 37, 41, 63, 104, 145c, 201ce, 242ce, 264bce, 305bce<br /> Badness: 0.000641<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Supernatural"></a><!-- ws:end:WikiTextHeadingRule:4 -->Supernatural</h1> Commas: 225/224, 245/243<br /> <br /> Map:[<1 0 2 -1 0|, <0 5 1 12 0|, <0 0 0 0 1|]<br /> EDOs: 19, 22, 41, 82e, 101cd, 104, 123ce, 142cd, 224cde, 265cde<br /> Badness: 0.000888</body></html>