Orwellismic family
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The orwellismic family of [[rank three temperaments]] tempers out the orwellisma, 1728/1715. [[Comma]]: 1728/1715 [[7-limit|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|] [[Eigenmonzo]]s: 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|] [[Generator]]s: 2, 3, 12/7 Edos: [[9edo|9]], [[14edo|14]], [[17edo|17]], [[18edo|18]], [[22edo|22]], [[26edo|26]], [[27edo|27]], [[31edo|31]], [[49edo|49]], [[53edo|53]], [[58edo|58]], [[80edo|80]], [[84edo|84]], [[111edo|111]], [[142edo|142]] [[Badness]]: 0.000187 [[Scale]]s: [[orwellismic9]] ==Guanyin== [[Comma]]s: 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|] [[Eigenmonzo]]s: 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|] [[Generator]]s: 2, 3, 12/7 EDOs: [[9edo|9]], [[22edo|22]], [[31edo|31]], [[53edo|53], [[58edo|58]], [[80edo|80]], [[111edo|111]] [[Badness]]: 0.000411 [[Scale]]s: [[guanyin22]] Music: [[http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297|Trio for SoftSaturn, NebulaSing and TromBonehead]] [[http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3|play]] by [[Gene Ward Smith]] ===[[13-limit]]=== [[Comma]]s: 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: [[22edo|22]], [[31edo|31]], [[53edo|53]], [[58edo|58]], [[80edo|80]], [[111edo|111]] [[Badness]]: 0.000758 ===Georgian=== [[Comma]]s: 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: [[9edo|9]], [[31edo|31]], [[58edo|58]] [[Badness]]: 0.000904
Original HTML content:
<html><head><title>Orwellismic family</title></head><body>The orwellismic family of <a class="wiki_link" href="/rank%20three%20temperaments">rank three temperaments</a> tempers out the orwellisma, 1728/1715.<br /> <br /> <a class="wiki_link" href="/Comma">Comma</a>: 1728/1715<br /> <br /> <a class="wiki_link" href="/7-limit">7-</a> and <a class="wiki_link" href="/9-limit">9-limit</a> <a class="wiki_link" href="/minimax">minimax</a><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 /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzo</a>s: 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 /> <a class="wiki_link" href="/Map">Map</a>: [<1 0 0 2|, <0 1 0 1|, <0 0 3 -1|]<br /> <a class="wiki_link" href="/Generator">Generator</a>s: 2, 3, 12/7<br /> Edos: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/17edo">17</a>, <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/49edo">49</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/111edo">111</a>, <a class="wiki_link" href="/142edo">142</a><br /> <a class="wiki_link" href="/Badness">Badness</a>: 0.000187<br /> <br /> <a class="wiki_link" href="/Scale">Scale</a>s: <a class="wiki_link" href="/orwellismic9">orwellismic9</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Guanyin"></a><!-- ws:end:WikiTextHeadingRule:0 -->Guanyin</h2> <a class="wiki_link" href="/Comma">Comma</a>s: 176/175, 540/539<br /> <br /> <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/minimax">minimax</a><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 /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzo</a>s: 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 /> <a class="wiki_link" href="/Map">Map</a>: [<1 0 0 2 -2|, <0 1 0 1 1|, <0 0 3 -1 5|]<br /> <a class="wiki_link" href="/Generator">Generator</a>s: 2, 3, 12/7<br /> EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/53edo">53], [[58edo|58</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/111edo">111</a><br /> <a class="wiki_link" href="/Badness">Badness</a>: 0.000411<br /> <br /> <a class="wiki_link" href="/Scale">Scale</a>s: <a class="wiki_link" href="/guanyin22">guanyin22</a><br /> Music: <br /> <a class="wiki_link_ext" href="http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297" rel="nofollow">Trio for SoftSaturn, NebulaSing and TromBonehead</a> <a class="wiki_link_ext" href="http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-Guanyin-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/13-limit">13-limit</a></h3> <a class="wiki_link" href="/Comma">Comma</a>s: 176/175, 351/350, 540/539<br /> <br /> <a class="wiki_link" href="/Map">Map</a>: [<1 0 0 2 -2 3|, <0 1 0 1 1 -2|, <0 0 3 -1 5 5|]<br /> EDOs: <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/111edo">111</a><br /> <a class="wiki_link" href="/Badness">Badness</a>: 0.000758<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-Guanyin-Georgian"></a><!-- ws:end:WikiTextHeadingRule:4 -->Georgian</h3> <a class="wiki_link" href="/Comma">Comma</a>s: 144/143, 176/175, 196/195<br /> <br /> <a class="wiki_link" href="/Map">Map</a>: [<1 0 0 2 -2 6|, <0 1 0 1 1 1|, <0 0 3 -1 5 -5|]<br /> EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/58edo">58</a><br /> <a class="wiki_link" href="/Badness">Badness</a>: 0.000904</body></html>