Archytas clan
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[[toc|flat]] The //archytas clan// tempers out the [[http://en.wikipedia.org/wiki/Septimal_comma|Archytas comma]], 64/63. This leads to tunings with 3s and 7s quite sharp, such as those of [[22edo]]. Adding 50/49 to the list of commas gives pajara, 36/35 gives dominant, 16/15 gives mother, 126/125 gives augene, 28/27 gives blacksmith, 245/243 gives superpyth, 250/243 gives porcupine, 686/675 gives beatles, 360/343 gives schism, 3125/3087 gives passion, and 2430/2401 gives quasisuper. Pajara is discussed under [[diaschismic family]], dominant under [[meantone family]], augene under [[augmented family]] and porcupine under [[porcupine family]]. The rest are considered below. =Mother= Commas: 16/15, 21/20 [[POTE tuning|POTE generator]]: 721.569 Map: [<1 0 4 6|, <0 1 -1 -2|] Wedgie: <<1 -1 -2 -4 -6 -2|| EDOs: 5, 148, 153 Badness: 0.0242 =Blacksmith= Commas: 28/27, 49/48 [[POTE tuning|POTE generator]]: ~5/4 = 392.767 Map: [<5 8 0 14|, <0 0 1 0|] Wedgie: <<0 5 0 8 0 -14|| EDOs: 5, 10, 15, 40b, 55b Badness: 0.0256 ==11-limit== Commas: 28/27, 49/48, 55/54 POTE generator: ~5/4 = 394.948 Map: [<5 8 0 14 29|, <0 0 1 0 -1|] EDOs: 5, 10, 15, 40be, 55be, 70bde, 85bcde Badness: 0.0246 ==13-limit== Commas: 28/27, 40/39, 49/48, 55/54 POTE generator: ~5/4 = 391.0367 Map: [<5 8 0 14 29 7|, <0 0 1 0 -1 1|] EDOs: 5, 10, 15, 25e, 40bef Badness: 0.0205 ==Farrier== Commas: 28/27, 49/48, 77/75 POTE generator: ~5/4 = 398.070 Map: [<5 8 0 14 -6|, <0 0 1 0 2|] EDOs: 5e, 15 Badness: 0.0292 ==Ferrum== Commas: 28/27, 35/33, 49/48 POTE generator: ~5/4 = 374.763 Map: [<5 8 0 14 6|, <0 0 1 0 1|] EDOs: 10 Badness: 0.0309 [[image:blacksmith10.jpg]] ==Blackwood== //Blackwood (5-limit)// Comma: 256/243 [[POTE tuning|POTE generator]]: 399.594 Map: [<5 8 0|, <0 0 1|] EDOs: 5, 10, 15 Badness: 0.0638 =Superpyth= [[Superpyth|Main article]] Commas: 64/63, 245/243 [[POTE tuning|POTE generator]]: 710.291 Map: [<1 0 -12 6|, <0 1 9 -2|] Wedgie: <<1 9 -2 12 -6 -30|| EDOs: 5, 17, 22, 27, 49 Badness: 0.0323 ==11-limit== Commas: 64/63, 100/99, 245/243 [[POTE tuning|POTE generator]]: 710.175 Map: [<1 0 -12 6 -22|, <0 1 9 -2 16|] EDOs: 22, 49 Badness: 0.0250 ==Suprapyth== Commas: 55/54, 64/63, 99/98 POTE generator: ~3/2 = 709.495 Map: [<1 0 -12 6 13|, <0 1 9 -2 -6|] EDOs: 5, 7, 12, 17, 22 Badness: 0.0328 ===13-limit=== Commas: 55/54, 64/63, 65/63, 364/363 POTE generator: ~3/2 = 708.703 Map: [<1 0 -12 6 13 18|, <0 1 9 -2 -6 -9|] EDOs: 17, 22, 83cdf Badness: 0.0363 =Beatles= Comma: 524288/492075 POTE generator: ~512/405 = 355.930 Map: [<1 1 5|,<0 2 -9|] EDOs: 10, 17c, 27, 64b, 91bc, 118bc Badness: 0.3585 ==7-limit== Commas: 64/63, 686/675 [[POTE tuning|POTE generator]]: ~49/40 = 355.904 Map: [<1 1 5 4|,<0 2 -9 -4|] Wedgie: <<2 -9 -4 -19 -12 16|| EDOs: 10, 17c, 27, 64b, 91bcd, 118bcd Badness: 0.0459 Music: [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/beatles-improv.mp3|Beatles Improv]] by Herman Miller ==11-limit== Commas: 64/63, 100/99, 686/675 POTE generator: ~49/40 = 356.140 Map: [<1 1 5 4 10|,<0 2 -9 -4 -22|] EDOs: 27e, 37, 64be, 91bcde Badness: 0.0456 ==13-limit== Commas: 64/63, 91/90, 100/99, 169/168 POTE generator: ~16/13 = 356.229 Map: [<1 1 5 4 10 4|,<0 2 -9 -4 -22 -1|] EDOs: 27e, 37, 64be Badness: 0.0302 ==Ringo== Commas: 56/55, 64/63, 540/539 POTE generator: ~11/9 = 355.419 Map: [<1 1 5 4 2|,<0 2 -9 -4 5|] EDOs: 10, 17c, 27e Badness: 0.0329 ===13-limit=== Commas: 56/55, 64/63, 78/77, 91/90 POTE generator: ~11/9 = 355.456 Map: [<1 1 5 4 2 4|,<0 2 -9 -4 5 -1|] EDOs: 10, 17c, 27e Badness: 0.0226 =Schism= Commas: 64/63, 360/343 [[POTE tuning|POTE generator]]: ~3/2 = 701.556 Map: [<1 0 15 6|, <0 1 -8 -2|] Wedgie: <<1 -8 -2 -15 -6 18|| EDOs: 12, 41d, 53d Badness: 0.0566 ==11-limit== Commas: 45/44, 64/63, 99/98 POTE generator ~3/2 = 702.136 Map: [<1 0 15 6 13|, <0 1 -8 -2 -6|] EDOs: 12, 29de, 41de Badness: 0.0375 =Passion= Commas: 64/63, 3125/3087 [[POTE tuning|POTE generator]]: 98.153 Map: [<1 2 2 2|, <0 -5 4 10|] Wedgie: <<5 -4 -10 -18 -30 -12|| Generators: 2, 16/15 EDOs: 12, 37, 49, 110bcd Badness: 0.0623 ==11-limit== Commas: 64/63, 100/99, 1375/1372 POTE generator: ~16/15 = 98.019 Map: [<1 2 2 2 2|, <0 -5 4 10 18|] EDOs: 12, 37, 49 Badness: 0.0408 ==13-limit== Commas: 64/63 100/99 196/195 275/273 POTE generator: ~16/15 = 97.910 Map: [<1 2 2 2 2 2|, <0 -5 4 10 18 21|] EDOs: 12f, 37, 49f Badness: 0.0309 =Fervor= Commas: 64/63, 9604/9375 POTE generator: ~7/5 = 577.777 Map: [<1 4 -2 -2|, <0 -5 9 10|] Wedgie: <<5 -9 -10 -26 -30 2|| EDOs: 25, 27 Badness: 0.1085 ==11-limit== Commas: 56/55, 64/63, 1350/1331 POTE generator: ~7/5 = 577.850 Map: [<1 4 -2 -2 3|, <0 -5 9 10 1|] EDOs: 25e, 27e Badness: 0.0521 ==13-limit== Commas: 56/55, 64/63, 78/77, 507/500 POTE generator: ~7/5 = 578.060 Map: [<1 4 -2 -2 3 -4|, <0 -5 9 10 1 16|] EDOs: 27e Badness: 0.0397 =Quasisuper= Commas: 64/63, 2430/2401 [[POTE tuning|POTE generator]]: 708.328 Map: [<1 0 23 6|, <0 1 -13 -2|] Wedgie: <<1 -13 -2 -23 -2 -6 32|| EDOs: 22, 61 Badness: 0.0638 ==Quasisupra== Commas: 64/63, 99/98, 121/120 Quasisupra can be viewed as an extension of the excellent 2.3.7.11 temperament [[supra]], with the quasisuper mapping of 5 thrown in (rather than the superpyth mapping of 5, which results in suprapyth). POTE generator: ~3/2 = 708.205 Map: [<1 2 -3 2 1|, <0 -1 13 2 6|] EDOs: 17c, 22, 27c, 39d, 61d Badness: 0.0322 ==Quasisoup== Commas: 55/54, 64/63, 2430/2401 POTE generator: ~3/2 = 709.021 Map: [<1 0 23 6 -22|, <0 1 -13 -2 16|] EDOs: 22 Badness: 0.0835 =Progress= Commas: 64/63, 392/375 POTE generator: ~7/5 = 562.122 Map: [<1 0 5 6|, <0 3 -5 -6|] Wedgie: <<3 -5 -6 -15 -18 0|| EDOs: 13, 15, 32c, 79bcc, 111bcc Badness: 0.0664 ==11-limit== Commas: 56/55, 64/63, 77/75 POTE generator: ~7/5 = 562.085 Map: [<1 0 5 6 4|, <0 3 -5 -6 -1|] EDOs: 13, 15, 32c, 47bc, 79bcce Badness: 0.0310 ==13-limit== Commas: 56/55, 64/63, 66/65, 77/75 POTE generator: ~7/5 = 562.365 Map: [<1 0 5 6 4 0|, <0 3 -5 -6 -1 7|] EDOs: 15, 17c, 32cf Badness: 0.0262
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<html><head><title>Archytas clan</title></head><body><!-- ws:start:WikiTextTocRule:62:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><a href="#Mother">Mother</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Blacksmith">Blacksmith</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Superpyth">Superpyth</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --> | <a href="#Beatles">Beatles</a><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --> | <a href="#Schism">Schism</a><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --> | <a href="#Passion">Passion</a><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --> | <a href="#Fervor">Fervor</a><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --> | <a href="#Quasisuper">Quasisuper</a><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --> | <a href="#Progress">Progress</a><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> <!-- ws:end:WikiTextTocRule:94 --><br /> The <em>archytas clan</em> tempers out the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_comma" rel="nofollow">Archytas comma</a>, 64/63. This leads to tunings with 3s and 7s quite sharp, such as those of <a class="wiki_link" href="/22edo">22edo</a>. Adding 50/49 to the list of commas gives pajara, 36/35 gives dominant, 16/15 gives mother, 126/125 gives augene, 28/27 gives blacksmith, 245/243 gives superpyth, 250/243 gives porcupine, 686/675 gives beatles, 360/343 gives schism, 3125/3087 gives passion, and 2430/2401 gives quasisuper. Pajara is discussed under <a class="wiki_link" href="/diaschismic%20family">diaschismic family</a>, dominant under <a class="wiki_link" href="/meantone%20family">meantone family</a>, augene under <a class="wiki_link" href="/augmented%20family">augmented family</a> and porcupine under <a class="wiki_link" href="/porcupine%20family">porcupine family</a>. The rest are considered below.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Mother"></a><!-- ws:end:WikiTextHeadingRule:0 -->Mother</h1> Commas: 16/15, 21/20<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 721.569<br /> <br /> Map: [<1 0 4 6|, <0 1 -1 -2|]<br /> Wedgie: <<1 -1 -2 -4 -6 -2||<br /> EDOs: 5, 148, 153<br /> Badness: 0.0242<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Blacksmith"></a><!-- ws:end:WikiTextHeadingRule:2 -->Blacksmith</h1> Commas: 28/27, 49/48<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 392.767<br /> <br /> Map: [<5 8 0 14|, <0 0 1 0|]<br /> Wedgie: <<0 5 0 8 0 -14||<br /> EDOs: 5, 10, 15, 40b, 55b<br /> Badness: 0.0256<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Blacksmith-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> Commas: 28/27, 49/48, 55/54<br /> <br /> POTE generator: ~5/4 = 394.948<br /> <br /> Map: [<5 8 0 14 29|, <0 0 1 0 -1|]<br /> EDOs: 5, 10, 15, 40be, 55be, 70bde, 85bcde<br /> Badness: 0.0246<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Blacksmith-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> Commas: 28/27, 40/39, 49/48, 55/54<br /> <br /> POTE generator: ~5/4 = 391.0367<br /> <br /> Map: [<5 8 0 14 29 7|, <0 0 1 0 -1 1|]<br /> EDOs: 5, 10, 15, 25e, 40bef<br /> Badness: 0.0205<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Blacksmith-Farrier"></a><!-- ws:end:WikiTextHeadingRule:8 -->Farrier</h2> Commas: 28/27, 49/48, 77/75<br /> <br /> POTE generator: ~5/4 = 398.070<br /> <br /> Map: [<5 8 0 14 -6|, <0 0 1 0 2|]<br /> EDOs: 5e, 15<br /> Badness: 0.0292<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Blacksmith-Ferrum"></a><!-- ws:end:WikiTextHeadingRule:10 -->Ferrum</h2> Commas: 28/27, 35/33, 49/48<br /> <br /> POTE generator: ~5/4 = 374.763<br /> <br /> Map: [<5 8 0 14 6|, <0 0 1 0 1|]<br /> EDOs: 10<br /> Badness: 0.0309<br /> <br /> <br /> <!-- ws:start:WikiTextLocalImageRule:95:<img src="/file/view/blacksmith10.jpg/271383136/blacksmith10.jpg" alt="" title="" /> --><img src="/file/view/blacksmith10.jpg/271383136/blacksmith10.jpg" alt="blacksmith10.jpg" title="blacksmith10.jpg" /><!-- ws:end:WikiTextLocalImageRule:95 --><br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Blacksmith-Blackwood"></a><!-- ws:end:WikiTextHeadingRule:12 -->Blackwood</h2> <em>Blackwood (5-limit)</em><br /> <br /> Comma: 256/243<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 399.594<br /> <br /> Map: [<5 8 0|, <0 0 1|]<br /> EDOs: 5, 10, 15<br /> Badness: 0.0638<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="Superpyth"></a><!-- ws:end:WikiTextHeadingRule:14 -->Superpyth</h1> <a class="wiki_link" href="/Superpyth">Main article</a><br /> Commas: 64/63, 245/243<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 710.291<br /> <br /> Map: [<1 0 -12 6|, <0 1 9 -2|]<br /> Wedgie: <<1 9 -2 12 -6 -30||<br /> EDOs: 5, 17, 22, 27, 49<br /> Badness: 0.0323<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Superpyth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> Commas: 64/63, 100/99, 245/243<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 710.175<br /> <br /> Map: [<1 0 -12 6 -22|, <0 1 9 -2 16|]<br /> EDOs: 22, 49<br /> Badness: 0.0250<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h2> --><h2 id="toc9"><a name="Superpyth-Suprapyth"></a><!-- ws:end:WikiTextHeadingRule:18 -->Suprapyth</h2> Commas: 55/54, 64/63, 99/98<br /> <br /> POTE generator: ~3/2 = 709.495<br /> <br /> Map: [<1 0 -12 6 13|, <0 1 9 -2 -6|]<br /> EDOs: 5, 7, 12, 17, 22<br /> Badness: 0.0328<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h3> --><h3 id="toc10"><a name="Superpyth-Suprapyth-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h3> Commas: 55/54, 64/63, 65/63, 364/363 <br /> <br /> POTE generator: ~3/2 = 708.703<br /> <br /> Map: [<1 0 -12 6 13 18|, <0 1 9 -2 -6 -9|]<br /> EDOs: 17, 22, 83cdf<br /> Badness: 0.0363<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h1> --><h1 id="toc11"><a name="Beatles"></a><!-- ws:end:WikiTextHeadingRule:22 -->Beatles</h1> Comma: 524288/492075<br /> <br /> POTE generator: ~512/405 = 355.930<br /> <br /> Map: [<1 1 5|,<0 2 -9|]<br /> EDOs: 10, 17c, 27, 64b, 91bc, 118bc<br /> Badness: 0.3585<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="Beatles-7-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->7-limit</h2> Commas: 64/63, 686/675<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~49/40 = 355.904<br /> <br /> Map: [<1 1 5 4|,<0 2 -9 -4|]<br /> Wedgie: <<2 -9 -4 -19 -12 16||<br /> EDOs: 10, 17c, 27, 64b, 91bcd, 118bcd<br /> Badness: 0.0459<br /> <br /> Music: <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/beatles-improv.mp3" rel="nofollow">Beatles Improv</a> by Herman Miller<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="Beatles-11-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->11-limit</h2> Commas: 64/63, 100/99, 686/675<br /> <br /> POTE generator: ~49/40 = 356.140<br /> <br /> Map: [<1 1 5 4 10|,<0 2 -9 -4 -22|]<br /> EDOs: 27e, 37, 64be, 91bcde<br /> Badness: 0.0456<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h2> --><h2 id="toc14"><a name="Beatles-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h2> Commas: 64/63, 91/90, 100/99, 169/168<br /> <br /> POTE generator: ~16/13 = 356.229<br /> <br /> Map: [<1 1 5 4 10 4|,<0 2 -9 -4 -22 -1|]<br /> EDOs: 27e, 37, 64be<br /> Badness: 0.0302<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h2> --><h2 id="toc15"><a name="Beatles-Ringo"></a><!-- ws:end:WikiTextHeadingRule:30 -->Ringo</h2> Commas: 56/55, 64/63, 540/539<br /> <br /> POTE generator: ~11/9 = 355.419<br /> <br /> Map: [<1 1 5 4 2|,<0 2 -9 -4 5|]<br /> EDOs: 10, 17c, 27e<br /> Badness: 0.0329<br /> <br /> <!-- ws:start:WikiTextHeadingRule:32:<h3> --><h3 id="toc16"><a name="Beatles-Ringo-13-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->13-limit</h3> Commas: 56/55, 64/63, 78/77, 91/90<br /> <br /> POTE generator: ~11/9 = 355.456<br /> <br /> Map: [<1 1 5 4 2 4|,<0 2 -9 -4 5 -1|]<br /> EDOs: 10, 17c, 27e<br /> Badness: 0.0226<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h1> --><h1 id="toc17"><a name="Schism"></a><!-- ws:end:WikiTextHeadingRule:34 -->Schism</h1> Commas: 64/63, 360/343<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 701.556<br /> <br /> Map: [<1 0 15 6|, <0 1 -8 -2|]<br /> Wedgie: <<1 -8 -2 -15 -6 18||<br /> EDOs: 12, 41d, 53d<br /> Badness: 0.0566<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h2> --><h2 id="toc18"><a name="Schism-11-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->11-limit</h2> Commas: 45/44, 64/63, 99/98<br /> <br /> POTE generator ~3/2 = 702.136<br /> <br /> Map: [<1 0 15 6 13|, <0 1 -8 -2 -6|]<br /> EDOs: 12, 29de, 41de<br /> Badness: 0.0375<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h1> --><h1 id="toc19"><a name="Passion"></a><!-- ws:end:WikiTextHeadingRule:38 -->Passion</h1> Commas: 64/63, 3125/3087<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 98.153<br /> <br /> Map: [<1 2 2 2|, <0 -5 4 10|]<br /> Wedgie: <<5 -4 -10 -18 -30 -12||<br /> Generators: 2, 16/15<br /> EDOs: 12, 37, 49, 110bcd<br /> Badness: 0.0623<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h2> --><h2 id="toc20"><a name="Passion-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2> Commas: 64/63, 100/99, 1375/1372 <br /> <br /> POTE generator: ~16/15 = 98.019<br /> <br /> Map: [<1 2 2 2 2|, <0 -5 4 10 18|]<br /> EDOs: 12, 37, 49<br /> Badness: 0.0408<br /> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h2> --><h2 id="toc21"><a name="Passion-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2> Commas: 64/63 100/99 196/195 275/273 <br /> <br /> POTE generator: ~16/15 = 97.910<br /> <br /> Map: [<1 2 2 2 2 2|, <0 -5 4 10 18 21|]<br /> EDOs: 12f, 37, 49f<br /> Badness: 0.0309<br /> <br /> <!-- ws:start:WikiTextHeadingRule:44:<h1> --><h1 id="toc22"><a name="Fervor"></a><!-- ws:end:WikiTextHeadingRule:44 -->Fervor</h1> Commas: 64/63, 9604/9375<br /> <br /> POTE generator: ~7/5 = 577.777<br /> <br /> Map: [<1 4 -2 -2|, <0 -5 9 10|]<br /> Wedgie: <<5 -9 -10 -26 -30 2||<br /> EDOs: 25, 27<br /> Badness: 0.1085<br /> <br /> <!-- ws:start:WikiTextHeadingRule:46:<h2> --><h2 id="toc23"><a name="Fervor-11-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->11-limit</h2> Commas: 56/55, 64/63, 1350/1331<br /> <br /> POTE generator: ~7/5 = 577.850<br /> <br /> Map: [<1 4 -2 -2 3|, <0 -5 9 10 1|]<br /> EDOs: 25e, 27e<br /> Badness: 0.0521<br /> <br /> <!-- ws:start:WikiTextHeadingRule:48:<h2> --><h2 id="toc24"><a name="Fervor-13-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->13-limit</h2> Commas: 56/55, 64/63, 78/77, 507/500<br /> <br /> POTE generator: ~7/5 = 578.060<br /> <br /> Map: [<1 4 -2 -2 3 -4|, <0 -5 9 10 1 16|]<br /> EDOs: 27e<br /> Badness: 0.0397<br /> <br /> <!-- ws:start:WikiTextHeadingRule:50:<h1> --><h1 id="toc25"><a name="Quasisuper"></a><!-- ws:end:WikiTextHeadingRule:50 -->Quasisuper</h1> Commas: 64/63, 2430/2401<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 708.328<br /> <br /> Map: [<1 0 23 6|, <0 1 -13 -2|]<br /> Wedgie: <<1 -13 -2 -23 -2 -6 32||<br /> EDOs: 22, 61<br /> Badness: 0.0638<br /> <br /> <!-- ws:start:WikiTextHeadingRule:52:<h2> --><h2 id="toc26"><a name="Quasisuper-Quasisupra"></a><!-- ws:end:WikiTextHeadingRule:52 -->Quasisupra</h2> Commas: 64/63, 99/98, 121/120<br /> <br /> Quasisupra can be viewed as an extension of the excellent 2.3.7.11 temperament <a class="wiki_link" href="/supra">supra</a>, with the quasisuper mapping of 5 thrown in (rather than the superpyth mapping of 5, which results in suprapyth).<br /> <br /> POTE generator: ~3/2 = 708.205<br /> <br /> Map: [<1 2 -3 2 1|, <0 -1 13 2 6|]<br /> EDOs: 17c, 22, 27c, 39d, 61d<br /> Badness: 0.0322<br /> <br /> <!-- ws:start:WikiTextHeadingRule:54:<h2> --><h2 id="toc27"><a name="Quasisuper-Quasisoup"></a><!-- ws:end:WikiTextHeadingRule:54 -->Quasisoup</h2> Commas: 55/54, 64/63, 2430/2401<br /> <br /> POTE generator: ~3/2 = 709.021<br /> <br /> Map: [<1 0 23 6 -22|, <0 1 -13 -2 16|]<br /> EDOs: 22<br /> Badness: 0.0835<br /> <br /> <!-- ws:start:WikiTextHeadingRule:56:<h1> --><h1 id="toc28"><a name="Progress"></a><!-- ws:end:WikiTextHeadingRule:56 -->Progress</h1> Commas: 64/63, 392/375<br /> <br /> POTE generator: ~7/5 = 562.122<br /> <br /> Map: [<1 0 5 6|, <0 3 -5 -6|]<br /> Wedgie: <<3 -5 -6 -15 -18 0||<br /> EDOs: 13, 15, 32c, 79bcc, 111bcc<br /> Badness: 0.0664<br /> <br /> <!-- ws:start:WikiTextHeadingRule:58:<h2> --><h2 id="toc29"><a name="Progress-11-limit"></a><!-- ws:end:WikiTextHeadingRule:58 -->11-limit</h2> Commas: 56/55, 64/63, 77/75<br /> <br /> POTE generator: ~7/5 = 562.085<br /> <br /> Map: [<1 0 5 6 4|, <0 3 -5 -6 -1|]<br /> EDOs: 13, 15, 32c, 47bc, 79bcce<br /> Badness: 0.0310<br /> <br /> <!-- ws:start:WikiTextHeadingRule:60:<h2> --><h2 id="toc30"><a name="Progress-13-limit"></a><!-- ws:end:WikiTextHeadingRule:60 -->13-limit</h2> Commas: 56/55, 64/63, 66/65, 77/75<br /> <br /> POTE generator: ~7/5 = 562.365<br /> <br /> Map: [<1 0 5 6 4 0|, <0 3 -5 -6 -1 7|]<br /> EDOs: 15, 17c, 32cf<br /> Badness: 0.0262</body></html>