Swetismic temperaments
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[[toc|flat]] These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament. Comma: 540/539 Map: [<1 0 0 0 2|, <0 1 0 0 3|, <0 0 0 1 -2|] Generators: 2, 3, 5, 7 EDOs: 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578 =Hades= Commas: 540/539, 4000/3993 Map: [<2 1 0 2 3|, <0 3 0 5 -1|, <0 0 1 0 1|] Generators: 99/70, 9/7, 5 EDOs: 22, 50, 58, 72, 130, 152, 224, 354, 578 Badness: 0.000361 ==13-limit== Commas: 540/539, 729/728, 1575/1573 Map: [<2 1 0 2 3 -2 |, <0 3 0 5 -1 13|, <0 0 1 0 1 0|] Generators: 99/70, 9/7, 5 EDOs: 36, 58, 72, 130, 224, 354, 578 Badness: 0.000535 ==Cerberus== Commas: 351/350, 364/363, 540/539 Map: [<2 1 0 2 3 1|, <0 3 0 5 -1 -4|, <0 0 1 0 1 2|] Generators: 55/39.9/7.5 EDOs: 22, 50, 58, 72, 130 Badness: 0.000766 =Minos= Commas: 540/539, 12005/11979 Map: [<1 0 2 1 2|, <0 2 4 3 4|, <0 0 -5 -1 -3|] Generators: 2.121/70.49/33 EDOs: 9, 49, 58, 72, 130, 193, 202, 467 Badness: 0.000886 ==13-limit== Commas: 364/363, 540/539, 676/675 Map: [<1 0 2 1 2 1|, <0 2 4 3 4 7|, <0 0 -5 -1 -3 -5|] Generators: 2.26/15.49/33 EDOs: 9, 54, 58, 72, 121, 130, 193 Badness: 0.000724
Original HTML content:
<html><head><title>Swetismic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:10:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><a href="#Hades">Hades</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Minos">Minos</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> <!-- ws:end:WikiTextTocRule:16 --><br /> These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.<br /> <br /> Comma: 540/539<br /> <br /> Map: [<1 0 0 0 2|, <0 1 0 0 3|, <0 0 0 1 -2|]<br /> Generators: 2, 3, 5, 7<br /> EDOs: 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Hades"></a><!-- ws:end:WikiTextHeadingRule:0 -->Hades</h1> Commas: 540/539, 4000/3993<br /> <br /> Map: [<2 1 0 2 3|, <0 3 0 5 -1|, <0 0 1 0 1|]<br /> Generators: 99/70, 9/7, 5<br /> EDOs: 22, 50, 58, 72, 130, 152, 224, 354, 578<br /> Badness: 0.000361<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Hades-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2> Commas: 540/539, 729/728, 1575/1573<br /> <br /> Map: [<2 1 0 2 3 -2 |, <0 3 0 5 -1 13|, <0 0 1 0 1 0|]<br /> Generators: 99/70, 9/7, 5<br /> EDOs: 36, 58, 72, 130, 224, 354, 578<br /> Badness: 0.000535<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Hades-Cerberus"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cerberus</h2> Commas: 351/350, 364/363, 540/539<br /> <br /> Map: [<2 1 0 2 3 1|, <0 3 0 5 -1 -4|, <0 0 1 0 1 2|]<br /> Generators: 55/39.9/7.5<br /> EDOs: 22, 50, 58, 72, 130<br /> Badness: 0.000766<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Minos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Minos</h1> Commas: 540/539, 12005/11979<br /> <br /> Map: [<1 0 2 1 2|, <0 2 4 3 4|, <0 0 -5 -1 -3|]<br /> Generators: 2.121/70.49/33<br /> EDOs: 9, 49, 58, 72, 130, 193, 202, 467<br /> Badness: 0.000886<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Minos-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2> Commas: 364/363, 540/539, 676/675<br /> <br /> Map: [<1 0 2 1 2 1|, <0 2 4 3 4 7|, <0 0 -5 -1 -3 -5|]<br /> Generators: 2.26/15.49/33<br /> EDOs: 9, 54, 58, 72, 121, 130, 193<br /> Badness: 0.000724</body></html>