Orwellismic family
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Original Wikitext content:
The orwellismic family of rank three temperaments tempers out the orwellisma, 1728/1715. Comma: 1728/1715 7- and 9-limit minimax [<1 0 0 0|, <0 1 0 0|, <3/2 3/4 3/4 -3/4|, <3/2 3/4 -1/4 1/4|] Eigenmonzos: 2, 4/3, 7/5 Lattice basis: 7/6 0.7526 3/2 1.3931 Angle(7/6, 3/2) = 97.5081 Map to lattice: [<0 0 -3 1|, <0 1 0 1|] Map: [<1 0 0 2|, <0 1 0 1|, <0 0 3 -1|] Generators: 2, 3, 12/7 Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142 Badness: 0.000187 Scales: [[orwellismic9]] ==Orwellic== Commas: 176/175, 540/539 11-limit minimax [<1 0 0 0 0|, <-2/9 0 -5/9 5/9 4/9|, <4/3 0 1/3 -1/3 1/3|, <4/3 0 -2/3 2/3 1/3|, <0 0 0 0 1|] Eigenmonzos: 2, 11/8, 7/5 Lattice basis: 7/6 0.5167 3/2 1.3055 Angle(7/6, 3/2) = 79.0940 Map to lattice: [<0 0 -3 1 -5|, <0 1 0 1 1|] Map: [<1 0 0 2 -2|, <0 1 0 1 1|, <0 0 3 -1 5|] Generators: 2, 3, 12/7 EDOs: 9, 22, 31, 53, 58, 80, 111 Badness: 0.000411 Scales: [[orwellic22]] Music: [[http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297|Trio for SoftSaturn, NebulaSing and TromBonehead]] ===13-limit=== Commas: 176/175, 351/350, 540/539 Map: [<1 0 0 2 -2 3|, <0 1 0 1 1 -2|, <0 0 3 -1 5 5|] EDOs: 22, 31, 53, 58, 80, 111 Badness: 0.000758 ===Georgian=== Commas: 144/143, 176/175, 196/195 Map: [<1 0 0 2 -2 6|, <0 1 0 1 1 1|, <0 0 3 -1 5 -5|] EDOs: 9, 31, 58 Badness: 0.000904
Original HTML content:
<html><head><title>Orwellismic family</title></head><body>The orwellismic family of rank three temperaments tempers out the orwellisma, 1728/1715.<br /> <br /> Comma: 1728/1715<br /> <br /> 7- and 9-limit minimax<br /> [<1 0 0 0|, <0 1 0 0|, <3/2 3/4 3/4 -3/4|, <br /> <3/2 3/4 -1/4 1/4|]<br /> Eigenmonzos: 2, 4/3, 7/5<br /> <br /> Lattice basis: 7/6 0.7526 3/2 1.3931<br /> Angle(7/6, 3/2) = 97.5081<br /> Map to lattice: [<0 0 -3 1|, <0 1 0 1|]<br /> <br /> Map: [<1 0 0 2|, <0 1 0 1|, <0 0 3 -1|]<br /> Generators: 2, 3, 12/7<br /> Edos: 9, 14, 17, 18, 22, 26, 27, 31, 49, 53, 58, 80, 84, 111, 142<br /> Badness: 0.000187<br /> <br /> Scales: <a class="wiki_link" href="/orwellismic9">orwellismic9</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Orwellic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Orwellic</h2> Commas: 176/175, 540/539<br /> <br /> 11-limit minimax<br /> [<1 0 0 0 0|, <-2/9 0 -5/9 5/9 4/9|, <4/3 0 1/3 -1/3 1/3|, <br /> <4/3 0 -2/3 2/3 1/3|, <0 0 0 0 1|]<br /> Eigenmonzos: 2, 11/8, 7/5<br /> <br /> Lattice basis: 7/6 0.5167 3/2 1.3055<br /> Angle(7/6, 3/2) = 79.0940<br /> Map to lattice: [<0 0 -3 1 -5|, <0 1 0 1 1|]<br /> <br /> Map: [<1 0 0 2 -2|, <0 1 0 1 1|, <0 0 3 -1 5|]<br /> Generators: 2, 3, 12/7<br /> EDOs: 9, 22, 31, 53, 58, 80, 111<br /> Badness: 0.000411<br /> <br /> Scales: <a class="wiki_link" href="/orwellic22">orwellic22</a><br /> Music: <a class="wiki_link_ext" href="http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297" rel="nofollow">Trio for SoftSaturn, NebulaSing and TromBonehead</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-Orwellic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h3> Commas: 176/175, 351/350, 540/539<br /> <br /> Map: [<1 0 0 2 -2 3|, <0 1 0 1 1 -2|, <0 0 3 -1 5 5|]<br /> EDOs: 22, 31, 53, 58, 80, 111<br /> Badness: 0.000758<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-Orwellic-Georgian"></a><!-- ws:end:WikiTextHeadingRule:4 -->Georgian</h3> Commas: 144/143, 176/175, 196/195<br /> <br /> Map: [<1 0 0 2 -2 6|, <0 1 0 1 1 1|, <0 0 3 -1 5 -5|]<br /> EDOs: 9, 31, 58<br /> Badness: 0.000904</body></html>