Porwell temperaments
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[[toc|flat]] ---- This family of temperaments tempers out the //porwell comma//, 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira and twothirdtonic. =Hendecatonic= Commas: 6144/6125, 10976/10935 [[POTE tuning|POTE generator]]: 703.054 Map: [<11 0 43 -4], <0 1 -1 2|] Wedgie: <<11 -11 22 -43 4 82|| EDOs: 22, 55, 77, [[99edo|99]] Badness: 0.0411 ==Icosidillic== Commas: 3388/3375, 6144/6125, 9801/9800 [[POTE tuning|POTE generator]]: 702.914 Map: [<22 0 86 -8 111|, <0 1 -1 2 -1|] EDOs: 22, 154, 176, 198, 968, 1166 Badness: 0.0577 =Hemischis= Commas: 6144/6125, 19683/19600 POTE generator: ~81/70 = 249.203 Map: [<1 0 15 -17|, <0 2 -16 25|] Wedgie: <<2 -16 25 -30 34 103|| EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313 Badness: 0.0458 ==11-limit== Commas: 540/539, 8019/8000, 5632/5625 POTE generator: ~81/70 = 249.199 Map: [<1 0 15 -17 51|, <0 2 -16 25 -60|] EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313 Badness: 0.0363 ==13-limit== Commas: 351/350, 540/539, 676/675, 4096/4095 POTE generator: ~15/13 = 249.199 Map: [<1 0 15 -17 51 14|, <0 2 -16 25 -60 -13|] EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313 Badness: 0.0208 ==17-limit== Commas: 351/350, 442/441, 561/560, 676/675, 4096/4095 POTE generator: ~15/13 = 249.190 Map: [<1 0 15 -17 51 14|, <0 2 -16 25 -60 -13|] EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 679 Badness: 0.0211 =Twothirdtonic= Commas: 686/675, 6144/6125 POTE generator: ~15/14 = 130.401 Map: [<1 3 2 4|, <0 -13 3 -11|] Wedgie: <<13 -3 11 -35 -19 34|| EDOs: 9, 10, 19, 28, 37, 46 Badness: 0.0996 ==11-limit== Commas: 121/120, 176/175, 686/675 POTE generator: ~15/14 = 130.430 Map: [<1 3 2 4 4|, <0 -13 3 -11 -5|] EDOs: 9, 10, 19, 28, 37, 46 Badness: 0.0408 Badness:
Original HTML content:
<html><head><title>Porwell temperaments</title></head><body><!-- ws:start:WikiTextTocRule:16:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><a href="#Hendecatonic">Hendecatonic</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Hemischis">Hemischis</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Twothirdtonic">Twothirdtonic</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> <!-- ws:end:WikiTextTocRule:25 --><hr /> This family of temperaments tempers out the <em>porwell comma</em>, 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira and twothirdtonic.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Hendecatonic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Hendecatonic</h1> Commas: 6144/6125, 10976/10935<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.054<br /> <br /> Map: [<11 0 43 -4], <0 1 -1 2|]<br /> Wedgie: <<11 -11 22 -43 4 82||<br /> EDOs: 22, 55, 77, <a class="wiki_link" href="/99edo">99</a><br /> Badness: 0.0411<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Hendecatonic-Icosidillic"></a><!-- ws:end:WikiTextHeadingRule:2 -->Icosidillic</h2> Commas: 3388/3375, 6144/6125, 9801/9800<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 702.914<br /> <br /> Map: [<22 0 86 -8 111|, <0 1 -1 2 -1|]<br /> EDOs: 22, 154, 176, 198, 968, 1166<br /> Badness: 0.0577<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Hemischis"></a><!-- ws:end:WikiTextHeadingRule:4 -->Hemischis</h1> Commas: 6144/6125, 19683/19600<br /> <br /> POTE generator: ~81/70 = 249.203<br /> <br /> Map: [<1 0 15 -17|, <0 2 -16 25|]<br /> Wedgie: <<2 -16 25 -30 34 103||<br /> EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313<br /> Badness: 0.0458<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Hemischis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit</h2> Commas: 540/539, 8019/8000, 5632/5625<br /> <br /> POTE generator: ~81/70 = 249.199<br /> <br /> Map: [<1 0 15 -17 51|, <0 2 -16 25 -60|]<br /> EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313<br /> Badness: 0.0363<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Hemischis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2> Commas: 351/350, 540/539, 676/675, 4096/4095<br /> <br /> POTE generator: ~15/13 = 249.199<br /> <br /> Map: [<1 0 15 -17 51 14|, <0 2 -16 25 -60 -13|]<br /> EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313<br /> Badness: 0.0208<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Hemischis-17-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->17-limit</h2> Commas: 351/350, 442/441, 561/560, 676/675, 4096/4095<br /> <br /> POTE generator: ~15/13 = 249.190<br /> <br /> Map: [<1 0 15 -17 51 14|, <0 2 -16 25 -60 -13|]<br /> EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 679<br /> Badness: 0.0211<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Twothirdtonic"></a><!-- ws:end:WikiTextHeadingRule:12 -->Twothirdtonic</h1> Commas: 686/675, 6144/6125<br /> <br /> POTE generator: ~15/14 = 130.401<br /> <br /> Map: [<1 3 2 4|, <0 -13 3 -11|]<br /> Wedgie: <<13 -3 11 -35 -19 34||<br /> EDOs: 9, 10, 19, 28, 37, 46<br /> Badness: 0.0996<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Twothirdtonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->11-limit</h2> Commas: 121/120, 176/175, 686/675<br /> <br /> POTE generator: ~15/14 = 130.430<br /> <br /> Map: [<1 3 2 4 4|, <0 -13 3 -11 -5|]<br /> EDOs: 9, 10, 19, 28, 37, 46<br /> Badness: 0.0408<br /> Badness:</body></html>