Semaphoresmic family
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- This revision was by author genewardsmith and made on 2011-11-21 19:11:17 UTC.
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Original Wikitext content:
[[toc|flat]] Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". The name [[meantone family|"godzilla"]] identifies a rank two temperament formerly sometimes called "semaphore", for the same reason. Comma: 49/48 Lattice basis: 7/6 0.7627 5/4 2.322 Angle(7/6, 5/4) = 90 degrees Map: [<1 0 2 2|, <0 2 0 1|, <0 0 1 0|] Generators: 2, 7/4, 5 EDOs: 4, 5, 9, 10, 15, 19 Badness: 0.000116 =Selenium= Commas: 49/48, 56/55 Map: [<1 0 2 2 5|, <0 2 0 1 1|, <0 0 1 0 -1|] EDOs: 4, 5, 9, 10, 15, 19, 24, 34 Badness: 0.000665 ==13-limit== Commas: 49/48, 56/55, 91/90 Map: [<1 0 2 2 5 -1|, <0 2 0 1 1 3|, <0 0 1 0 -1 1|] EDOs: 5, 9, 10, 15, 19, 24, 34 Badness: 0.000787 =Negric= Commas: 49/48, 225/224 Map: [<1 2 2 3 0|, <0 -4 3 -2 0|, <0 0 0 0 1|] EDOs: 9, 10, 19, 29, 38d, 67cde Badness: 0.001087 ==13-limit== Commas: 49/48, 65/64, 91/90 Map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|, <0 0 0 0 1 0|] EDOs: 9, 10, 19, 29, 38df, 67cdef Badness: 80.756
Original HTML content:
<html><head><title>Semiphore family</title></head><body><!-- ws:start:WikiTextTocRule:8:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Selenium">Selenium</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#Negric">Negric</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> <!-- ws:end:WikiTextTocRule:13 --><br /> Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". The name <a class="wiki_link" href="/meantone%20family">"godzilla"</a> identifies a rank two temperament formerly sometimes called "semaphore", for the same reason.<br /> <br /> Comma: 49/48<br /> <br /> Lattice basis: 7/6 0.7627 5/4 2.322<br /> Angle(7/6, 5/4) = 90 degrees<br /> <br /> Map: [<1 0 2 2|, <0 2 0 1|, <0 0 1 0|]<br /> Generators: 2, 7/4, 5<br /> EDOs: 4, 5, 9, 10, 15, 19<br /> Badness: 0.000116<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Selenium"></a><!-- ws:end:WikiTextHeadingRule:0 -->Selenium</h1> Commas: 49/48, 56/55<br /> <br /> Map: [<1 0 2 2 5|, <0 2 0 1 1|, <0 0 1 0 -1|]<br /> EDOs: 4, 5, 9, 10, 15, 19, 24, 34<br /> Badness: 0.000665<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Selenium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2> Commas: 49/48, 56/55, 91/90<br /> <br /> Map: [<1 0 2 2 5 -1|, <0 2 0 1 1 3|, <0 0 1 0 -1 1|]<br /> EDOs: 5, 9, 10, 15, 19, 24, 34<br /> Badness: 0.000787<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Negric"></a><!-- ws:end:WikiTextHeadingRule:4 -->Negric</h1> Commas: 49/48, 225/224<br /> <br /> Map: [<1 2 2 3 0|, <0 -4 3 -2 0|, <0 0 0 0 1|]<br /> EDOs: 9, 10, 19, 29, 38d, 67cde<br /> Badness: 0.001087<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Negric-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> Commas: 49/48, 65/64, 91/90<br /> <br /> Map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|, <0 0 0 0 1 0|]<br /> EDOs: 9, 10, 19, 29, 38df, 67cdef<br /> Badness: 80.756</body></html>