Gravity family
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- This revision was by author genewardsmith and made on 2011-09-06 14:05:36 UTC.
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Original Wikitext content:
[[toc|flat]] =Gravity= The gravity family tempers out [[graviton]], the 5-limit comma 129140163/128000000 = |-13 17 -6>. The graviton equals (81/80)^4/(25/24), so that four 81/80 commas come to a chromatic semitone. The generator of gravity temperament is a grave fifth of 40/27, and hence the name. It is part of the Mavila -> Dicot -> Porcupine -> Tetracot -> Amity continuum, whereby (81/80)^n = 25/24. Comma: 129140163/128000000 POTE generator: ~40/27 = 683.156 Map: [<1 5 12|, <0 -6 -17|] EDOs: [[7edo|7]], [[58edo|58]], [[65edo|65]], [[137edo|137]], [[202edo|202]], [[267edo|267]], [[469edo|469]] Badness: 0.0932 =Bigravity= Commas: 2401/2400, 19683/19600 POTE generator: ~21/20 = 83.156 Map: [<2 4 7 7|, <0 -6 -17 -10|] Wedgie: <<12 34 20 26 -2 -49|| EDOs: 58, 72, 130, 202, 534 Badness: 0.0341 ==11-limit== Commas: 243/242, 441/440, 4000/3993 POTE generator: ~21/20 = 83.167 Map: [<2 4 7 7 9|, <0 -6 -17 -10 -15|] EDOs: 58, 72, 130, 202 Badness: 0.0159 ==13-limit== Commas: 243/242, 351/350, 441/440, 676/675 POTE generator: ~21/20 = 83.116 Map: [<2 4 7 7 9 11|, <0 -6 -17 -10 -15 -26|] EDOs: 58, 72, 130 Badness: 0.0130
Original HTML content:
<html><head><title>Gravity 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="#Gravity">Gravity</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | <a href="#Bigravity">Bigravity</a><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> <!-- ws:end:WikiTextTocRule:13 --><br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Gravity"></a><!-- ws:end:WikiTextHeadingRule:0 -->Gravity</h1> The gravity family tempers out <a class="wiki_link" href="/graviton">graviton</a>, the 5-limit comma 129140163/128000000 = |-13 17 -6>. The graviton equals (81/80)^4/(25/24), so that four 81/80 commas come to a chromatic semitone. The generator of gravity temperament is a grave fifth of 40/27, and hence the name. It is part of the Mavila -> Dicot -> Porcupine -> Tetracot -> Amity continuum, whereby (81/80)^n = 25/24.<br /> <br /> Comma: 129140163/128000000<br /> <br /> POTE generator: ~40/27 = 683.156<br /> <br /> Map: [<1 5 12|, <0 -6 -17|]<br /> EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/65edo">65</a>, <a class="wiki_link" href="/137edo">137</a>, <a class="wiki_link" href="/202edo">202</a>, <a class="wiki_link" href="/267edo">267</a>, <a class="wiki_link" href="/469edo">469</a><br /> Badness: 0.0932<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Bigravity"></a><!-- ws:end:WikiTextHeadingRule:2 -->Bigravity</h1> Commas: 2401/2400, 19683/19600<br /> <br /> POTE generator: ~21/20 = 83.156<br /> <br /> Map: [<2 4 7 7|, <0 -6 -17 -10|]<br /> Wedgie: <<12 34 20 26 -2 -49||<br /> EDOs: 58, 72, 130, 202, 534<br /> Badness: 0.0341<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Bigravity-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> Commas: 243/242, 441/440, 4000/3993<br /> <br /> POTE generator: ~21/20 = 83.167<br /> <br /> Map: [<2 4 7 7 9|, <0 -6 -17 -10 -15|]<br /> EDOs: 58, 72, 130, 202<br /> Badness: 0.0159<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Bigravity-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> Commas: 243/242, 351/350, 441/440, 676/675<br /> <br /> POTE generator: ~21/20 = 83.116<br /> <br /> Map: [<2 4 7 7 9 11|, <0 -6 -17 -10 -15 -26|]<br /> EDOs: 58, 72, 130<br /> Badness: 0.0130</body></html>