Vishnuzmic family
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- This revision was by author genewardsmith and made on 2012-01-17 21:22:20 UTC.
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[[toc]] The //vishnuzmic family// of temperaments tempers out the vishnuzma, |23 6 -14> = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[25_24|just chromatic semitones]] of size 25/24 fall short of a [[4_3|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7. Comma: 6115295232/6103515625 POTE generator: ~25/24 = 71.1432 Map: [<2 4 5|, <0 -7 -3|] EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo]], 506, 894, 1400 Badness: 0.0312 =Vishnu= Commas: 4375/4374, 29360128/29296875 POTE generator: ~25/24 = 71.1075 Map: [<2 4 5 10|, <0 -7 -3 -37|] EDOs: 118, 152, 270, [[1232edo|1232]], [[1502edo|1502]] Badness: 0.0419 ==11-limit== Commas: 3025/3024, 4375/4374, 5632/5625 POTE generator: ~25/24 = 71.1048 Map: [<2 4 5 10 10|, <0 -7 -3 -37 -26|] EDOs: 118, 152, 270, [[422edo]], [[962edo|962]], 1232, 1502 Badness: 0.0142 ==Ananta== Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374 POTE generator: ~25/24 = 71.1170 Map: [<2 4 5 10 10 1|, <0 -7 -3 -37 -26 54|] EDOs: 118, 152, 270, 928, 1198, 1468 Badness: 0.0237 ==Acyuta== Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625 POTE generator: ~25/24 = 71.1001 Map: [<2 4 5 10 10 17|, <0 -7 -3 -37 -26 -81|] EDOs: 270, [[682edo|692]], 962 Badness: 0.0158
Original HTML content:
<html><head><title>Vishnuzmic family</title></head><body><!-- ws:start:WikiTextTocRule:8:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><div style="margin-left: 1em;"><a href="#Vishnu">Vishnu</a></div> <!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><div style="margin-left: 2em;"><a href="#Vishnu-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><div style="margin-left: 2em;"><a href="#Vishnu-Ananta">Ananta</a></div> <!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><div style="margin-left: 2em;"><a href="#Vishnu-Acyuta">Acyuta</a></div> <!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --></div> <!-- ws:end:WikiTextTocRule:13 --><br /> The <em>vishnuzmic family</em> of temperaments tempers out the vishnuzma, |23 6 -14> = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven <a class="wiki_link" href="/25_24">just chromatic semitones</a> of size 25/24 fall short of a <a class="wiki_link" href="/4_3">just perfect fourth</a> of 4/3, or in other words (4/3)/(25/24)^7.<br /> <br /> Comma: 6115295232/6103515625<br /> <br /> POTE generator: ~25/24 = 71.1432<br /> <br /> Map: [<2 4 5|, <0 -7 -3|]<br /> EDOs: <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/34edo">34</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/270edo">270</a>, <a class="wiki_link" href="/388edo">380</a>, <a class="wiki_link" href="/422edo">422edo</a>, 506, 894, 1400<br /> Badness: 0.0312<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Vishnu"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vishnu</h1> Commas: 4375/4374, 29360128/29296875<br /> <br /> POTE generator: ~25/24 = 71.1075<br /> <br /> Map: [<2 4 5 10|, <0 -7 -3 -37|]<br /> EDOs: 118, 152, 270, <a class="wiki_link" href="/1232edo">1232</a>, <a class="wiki_link" href="/1502edo">1502</a><br /> Badness: 0.0419<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Vishnu-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 3025/3024, 4375/4374, 5632/5625<br /> <br /> POTE generator: ~25/24 = 71.1048<br /> <br /> Map: [<2 4 5 10 10|, <0 -7 -3 -37 -26|]<br /> EDOs: 118, 152, 270, <a class="wiki_link" href="/422edo">422edo</a>, <a class="wiki_link" href="/962edo">962</a>, 1232, 1502<br /> Badness: 0.0142<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Vishnu-Ananta"></a><!-- ws:end:WikiTextHeadingRule:4 -->Ananta</h2> Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374<br /> <br /> POTE generator: ~25/24 = 71.1170<br /> <br /> Map: [<2 4 5 10 10 1|, <0 -7 -3 -37 -26 54|]<br /> EDOs: 118, 152, 270, 928, 1198, 1468<br /> Badness: 0.0237<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Vishnu-Acyuta"></a><!-- ws:end:WikiTextHeadingRule:6 -->Acyuta</h2> Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625<br /> <br /> POTE generator: ~25/24 = 71.1001<br /> <br /> Map: [<2 4 5 10 10 17|, <0 -7 -3 -37 -26 -81|]<br /> EDOs: 270, <a class="wiki_link" href="/682edo">692</a>, 962<br /> Badness: 0.0158</body></html>