Porwell 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 2012-01-03 16:15:58 UTC.
- The original revision id was 289357615.
- 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]] ---- This family of temperaments tempers out the //porwell comma//, |11 1 -3 -2> = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof. =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 ==13-limit== Commas: 91/90, 121/120, 169/168, 176/175 POTE generator: ~15/14 = 130.409 Map: [<1 3 2 4 4 5|, <0 -13 3 -11 -5 -12|] EDOs: 9, 10, 19, 28, 37, 46 Badness: 0.0259 =Nessafof= Commas: 6144/6125, 250047/250000 POTE generator: ~35/32 = 157.420 Map: [<3 2 5 10|, <0 7 5 -4|] Wedgie: <<21 15 -12 -25 -78 -70|| EDOs: 15, 69, 84, 99, 282, 381 Badness: 0.0450 =Septisuperfourth= Commas: 6144/6125, 118098/117649 POTE generator: ~48/35 = 544.680 Map: [<2 4 4 7|, <0 -9 7 -15|] Wedgie: <<18 -14 30 -64 -3 109|| EDOs: 22, 86, 108, 130, 152, 282 Badness: 0.0592 ==11-limit== Commas: 540/539, 4000/3993, 5632/5625 POTE generator: ~48/35 = 544.696 Map: [<2 4 4 7 6|, <0 -9 7 -15 10|] EDOs: 22, 86, 108, 130, 152, 282, 434de, 716de Badness: 0.0246 =Whoops= Commas: 6144/6125, 244140625/243045684 POTE generator: ~441/320 = 560.519 Map: [<1 17 14 -7|, <0 -33 -25 21|] Wedgie: <<33 25 -21 -37 -126 -119|| EDOs: 15, 122d, 137, 152, 608d, 623bd, 775bcd Badness: 0.1758 ==11-limit== Commas: 6144/6125, 3025/3024, 4000/3993 POTE generator: ~242/175 = 560.519 Map: [<1 17 14 -7 10|, <0 -33 -25 21 -14|] EDOs: 15, 122d, 137, 152, 608de, 623bde, 775bcde Badness: 0.0437
Original HTML content:
<html><head><title>Porwell temperaments</title></head><body><!-- ws:start:WikiTextTocRule:28:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><a href="#Hendecatonic">Hendecatonic</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> | <a href="#Hemischis">Hemischis</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Twothirdtonic">Twothirdtonic</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#Nessafof">Nessafof</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Septisuperfourth">Septisuperfourth</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#Whoops">Whoops</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> <!-- ws:end:WikiTextTocRule:43 --><hr /> This family of temperaments tempers out the <em>porwell comma</em>, |11 1 -3 -2> = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof.<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 /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Twothirdtonic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h2> Commas: 91/90, 121/120, 169/168, 176/175<br /> <br /> POTE generator: ~15/14 = 130.409<br /> <br /> Map: [<1 3 2 4 4 5|, <0 -13 3 -11 -5 -12|]<br /> EDOs: 9, 10, 19, 28, 37, 46<br /> Badness: 0.0259<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><a name="Nessafof"></a><!-- ws:end:WikiTextHeadingRule:18 -->Nessafof</h1> Commas: 6144/6125, 250047/250000<br /> <br /> POTE generator: ~35/32 = 157.420<br /> <br /> Map: [<3 2 5 10|, <0 7 5 -4|]<br /> Wedgie: <<21 15 -12 -25 -78 -70||<br /> EDOs: 15, 69, 84, 99, 282, 381<br /> Badness: 0.0450<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h1> --><h1 id="toc10"><a name="Septisuperfourth"></a><!-- ws:end:WikiTextHeadingRule:20 -->Septisuperfourth</h1> Commas: 6144/6125, 118098/117649<br /> <br /> POTE generator: ~48/35 = 544.680<br /> <br /> Map: [<2 4 4 7|, <0 -9 7 -15|]<br /> Wedgie: <<18 -14 30 -64 -3 109||<br /> EDOs: 22, 86, 108, 130, 152, 282<br /> Badness: 0.0592<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h2> --><h2 id="toc11"><a name="Septisuperfourth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->11-limit</h2> Commas: 540/539, 4000/3993, 5632/5625<br /> <br /> POTE generator: ~48/35 = 544.696<br /> <br /> Map: [<2 4 4 7 6|, <0 -9 7 -15 10|]<br /> EDOs: 22, 86, 108, 130, 152, 282, 434de, 716de<br /> Badness: 0.0246<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h1> --><h1 id="toc12"><a name="Whoops"></a><!-- ws:end:WikiTextHeadingRule:24 -->Whoops</h1> Commas: 6144/6125, 244140625/243045684<br /> <br /> POTE generator: ~441/320 = 560.519<br /> <br /> Map: [<1 17 14 -7|, <0 -33 -25 21|]<br /> Wedgie: <<33 25 -21 -37 -126 -119||<br /> EDOs: 15, 122d, 137, 152, 608d, 623bd, 775bcd<br /> Badness: 0.1758<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="Whoops-11-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->11-limit</h2> Commas: 6144/6125, 3025/3024, 4000/3993<br /> <br /> POTE generator: ~242/175 = 560.519<br /> <br /> Map: [<1 17 14 -7 10|, <0 -33 -25 21 -14|]<br /> EDOs: 15, 122d, 137, 152, 608de, 623bde, 775bcde<br /> Badness: 0.0437</body></html>