Lehmerismic temperaments
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-11-20 20:30:02 UTC.
- The original revision id was 277502570.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[toc|flat]] These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament. Comma: 3025/3024 Map: [<1 0 0 0 2|, <0 1 0 1 2|, <0 0 1 0 -1|, <0 0 0 2 1|] Generators: 2, 3, 5, 55/36 EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554 =Tyr= Commas: 3025/3024, 102487/102400 Map: [<3 0 0 4 8|, <0 2 0 -4 1|, <0 0 1 2 0|] Generators: 63/50, 400/231, 5 EDOs: 15, 57, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566 Badness: 0.000259 =Skadi= Commas: 3025/3024, 703125/702464 Map: [<1 0 5 8 1|, <0 1 1 3 2|, <0 0 -6 -14 -1|] Generators: 2, 3, 18/11 EDOs: 31, 97, 121, 152, 311, 342, 836, 1178, 2014 Badness: 0.000349 =Ganesha= Commas: 3025/3024, 5632/5625 Map: [<1 0 0 -22 -9|, <0 1 0 1 2|, <0 0 1 10 4|] Generators: 2, 3, 5 EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502 Badness: 0.000390 =Hanuman= Commas: 4000/3993, 3025/3024 Map: [<1 2 0 -8 1|, <0 -3 0 11 1|, <0 0 1 4 1|] Generators: 2, 11/10, 5 EDOs: 15, 57, 72, 152, 224, 311, 463, 535, 998, 1533ce, 2307ce, 2531cde, 2842bce Badness: 0.000500 ==13-limit== Commas: 625/624, 1575/1573, 2080/2079 Map: [<1 2 0 -8 1 -6|, <0 -3 0 11 1 3|, <0 0 1 4 1 4|] Generators: 2, 11/10, 5 EDOs: 15, 72, 87, 137, 159, 224, 311, 535, 918c, 1142c, 1453c Badness: 0.000653
Original HTML content:
<html><head><title>Lehmerismic 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="#Tyr">Tyr</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Skadi">Skadi</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | <a href="#Ganesha">Ganesha</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Hanuman">Hanuman</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 3025/3024, but we can began by looking at the rank four temperament.<br /> <br /> Comma: 3025/3024<br /> <br /> Map: [<1 0 0 0 2|, <0 1 0 1 2|, <0 0 1 0 -1|, <0 0 0 2 1|]<br /> Generators: 2, 3, 5, 55/36<br /> EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Tyr"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tyr</h1> Commas: 3025/3024, 102487/102400<br /> <br /> Map: [<3 0 0 4 8|, <0 2 0 -4 1|, <0 0 1 2 0|]<br /> Generators: 63/50, 400/231, 5<br /> EDOs: 15, 57, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566<br /> Badness: 0.000259<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Skadi"></a><!-- ws:end:WikiTextHeadingRule:2 -->Skadi</h1> Commas: 3025/3024, 703125/702464<br /> <br /> Map: [<1 0 5 8 1|, <0 1 1 3 2|, <0 0 -6 -14 -1|]<br /> Generators: 2, 3, 18/11<br /> EDOs: 31, 97, 121, 152, 311, 342, 836, 1178, 2014<br /> Badness: 0.000349<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Ganesha"></a><!-- ws:end:WikiTextHeadingRule:4 -->Ganesha</h1> Commas: 3025/3024, 5632/5625<br /> <br /> Map: [<1 0 0 -22 -9|, <0 1 0 1 2|, <0 0 1 10 4|]<br /> Generators: 2, 3, 5<br /> EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502<br /> Badness: 0.000390<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Hanuman"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hanuman</h1> Commas: 4000/3993, 3025/3024<br /> <br /> Map: [<1 2 0 -8 1|, <0 -3 0 11 1|, <0 0 1 4 1|]<br /> Generators: 2, 11/10, 5<br /> EDOs: 15, 57, 72, 152, 224, 311, 463, 535, 998, 1533ce, 2307ce, 2531cde, 2842bce<br /> Badness: 0.000500<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Hanuman-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2> Commas: 625/624, 1575/1573, 2080/2079<br /> <br /> Map: [<1 2 0 -8 1 -6|, <0 -3 0 11 1 3|, <0 0 1 4 1 4|]<br /> Generators: 2, 11/10, 5<br /> EDOs: 15, 72, 87, 137, 159, 224, 311, 535, 918c, 1142c, 1453c<br /> Badness: 0.000653</body></html>