Sensamagic clan
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[[toc|flat]] The //sensamagic clan// tempers out the [[sensamagic comma]], [[245_243|245/243]], a [[triprime comma]] with no factors of 2. |0 -5 1 2> to be exact. There are a number of [[linear temperament]]s in the [[clan]] (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a [[rank three temperament]] for which [[283edo]] is the [[optimal patent val]]. =Bohpier= Comma: 1220703125/1162261467 POTE generator: ~27/25 = 146.476 Map: [<1 0 0|, <0 13 19|] EDOs: 8, 41, 131, 172, 213c Badness: 0.8605 ==7-limit== [[Comma]]s: 245/243, 3125/3087 [[POTE tuning|POTE generator]]: ~27/25 = 146.474 Map: [<1 0 0 0|, <0 13 19 23|] [[Wedgie]]: <<13 19 23 0 0 0|| EDOs: [[41edo|41]], [[49edo|49]], [[90edo|90]], [[139edo|139]] EDTs: [[13edt|13]] [[Badness]]: 0.0682 ==11-limit== Commas: 100/99, 245/243, 1344/1331 POTE generator: ~12/11 = 146.545 Map: [<1 0 0 0 2|, <0 13 19 23 12|] EDOs: 41, 90e, 131e Badness: 0.0339 ==13-limit== Commas: 100/99, 144/143, 245/243, 275/273 POTE generator: ~12/11 = 146.603 Map: [<1 0 0 0 2 2|, <0 13 19 23 12 14|] EDOs: 41, 90ef, 131ef, 221bdeff Badness: 0.0249 ==Music== By [[Chris Vaisvil]] http://micro.soonlabel.com/bophier/bophier-1.mp3 http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 =Sensa= Commas: 245/243, 65625/65536 POTE generator: ~28/27 = 55.122 Map: [<1 2 2 4|, <0 -9 7 -26|] Wedgie: <<9 -7 26 -32 16 80|| EDOs: [[22edo|22]], [[43edo|43]], [[65edo|65]], [[87edo|87]], [[109edo|109]], [[196edo|196]], [[283edo|283]] Badness: 0.0887 ==11-limit== Commas: 245/243, 385/384, 4000/3993 POTE generator: ~28/27 = 55.126 Map: [<1 2 2 4 3|, <0 -9 7 -26 10|] EDOs: 22, 43, 65, 87, 109, 196, 283 Badness: 0.0358 ==13-limit== Commas: 245/243, 352/351, 385/384, 625/624 POTE generator: ~28/27 = 55.138 Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|] EDOs: 22, 43, 65, 87, 109, 196, 283 Badness: 0.0317 =Salsa= Commas: 245/243, 32805/32768 POTE generator: ~128/105 = 351.049 Map: [<1 1 7 -1|, <0 2 -16 13|] Wedgie: <<2 -16 13 -30 15 75|| EDOs: 17, 24, 41, 106d, 147d, 188cd, 335cd Badness: 0.08015 ==11-limit== Commas: 243/242, 245/242, 385/384 POTE generator: ~11/9 = 351.014 Map: [<1 1 7 -1 2|, <0 2 -16 13 5|] EDOs: 17, 24, 41, 106d, 147d Badness: 0.0394 ==13-limit== Commas: 105/104, 144/143, 243/242, 245/242 POTE generator: ~11/9 = 351.025 Map: [<1 1 7 -1 2 4|, <0 2 -16 13 5 -1|] EDOs: 17, 24, 41, 106df, 147df Badness: 0.0310 =Pycnic= The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being a cent sharp of it in the POTE tuning for instance. Pycnic has MOS of size 9, 11, 13, 15, 17... which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune. Commas: 245/243, 525/512 POTE generator: ~45/32 = 567.720 Map: [<1 3 -1 8|, <0 -3 7 -11|] Wedgie: <<3 -7 11 -18 9 45|| EDOs: 17, 19, 55c, 74cd, 93cd Badness: 0.0737 =Cohemiripple= Commas: 245/243, 1323/1250 POTE generator: ~7/5 = 549.944 Map: [<1 7 11 12|, <0 -10 -16 -17|] Wedgie: <<10 16 17 2 -1 -5|| EDOs: 24 Badness: 0.1902 ==11-limit== Commas: 77/75, 243/242, 245/242 POTE generator: ~7/5 = 549.945 Map: [<1 7 11 12 17|, <0 -10 -16 -17 -25|] EDOs: 24 Badness: 0.0827 ==13-limit== Commas: 66/65, 77/75, 147/143, 351/350 POTE generator: ~7/5 = 549.958 Map: [<1 7 11 12 17 14|, <0 -10 -16 -17 -25 -19|] EDOs: 24 Badness: 0.0499 =Superthird= Commas: 245/243, 78125/76832 POTE generator: ~9/7 = 439.076 Map: [<1 13 15 25|, <0 -18 -20 -35|] Wedgie: <<18 20 35 -10 5 25|| EDOs: 41, 317bc, 358bc, 399bc Badness: 0.1394 ==11-limit== Commas: 100/99, 245/243, 78125/76832 POTE generator: ~9/7 = 439.152 Map: [<1 13 15 25 6|, <0 -18 -20 -35 -4|] EDOs: 41, 153be, 194be, 235bce Badness: 0.0709 ==13-limit== Commas: 100/99, 144/143, 196/195, 1375/1352 POTE generator: ~9/7 = 439.119 Map: [<1 13 15 25 6 24|, <0 -18 -20 -35 -4 -32|] EDOs: 41 Badness: 0.0528 =Magus= Commas: 50331648/48828125 POTE generator: ~5/4 = 391.225 Map: [<1 9 3|, <0 -11 -1|] EDOs: 40, 43, 46, 181c, 227c, 273c, 319c Badness: 0.3602 ==7-limit== Commas: 245/243, 28672/28125 POTE generator: ~5/4 = 391.465 Map: [<1 9 3 21|, <0 -11 -1 -27|] Wedgie: <<11 1 27 -24 12 60|| EDOs: 46, 95, 141bc, 187bc, 328bc Badness: 0.1084 ==11-limit== Commas: 176/175, 245/243, 1331/1323 POTE generator: ~5/4 = 391.503 Map: [<1 9 3 21 23|, <0 -11 -1 -27 -29|] EDOs: 46, 95, 141bc Badness: 0.0451 ==13-limit== Commas: 91/90, 176/175, 245/243, 1331/1323 POTE generator: ~5/4 = 391.366 Map: [<1 9 3 21 23 1|, <0 -11 -1 -27 -29 4|] EDOs: 46, 233bcf, 279bcf Badness: 0.0430 =Leapweek= Commas: 245/243, 2097152/2066715 POTE generator: ~3/2 = 704.536 Map: [<1 1 17 -6|, <0 1 -25 15|] EDOs: 17, 46, 109, 155, 264b, 419b Badness: 0.14058 ==11-limit== Commas: 245/243, 385/384, 1331/1323 POTE generator: ~3/2 = 704.554 Map: [<1 1 17 -6 -3|, <0 1 -25 15 11|] EDOs: 17, 46, 109, 264b, 373b, 637be Badness: 0.0507 ==13-limit== Commas: 169/168, 245/243, 352/351, 364/363 POTE generator: ~3/2 = 704.571 Map: [<1 1 17 -6 -3 -1|, <0 1 -25 15 11 8|] EDOs: 17, 46, 63, 109, 218f, 373bf Badness: 0.0327
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<html><head><title>Sensamagic clan</title></head><body><!-- ws:start:WikiTextTocRule:50:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><a href="#Bohpier">Bohpier</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Sensa">Sensa</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Salsa">Salsa</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Pycnic">Pycnic</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Cohemiripple">Cohemiripple</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Superthird">Superthird</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Magus">Magus</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Leapweek">Leapweek</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> <!-- ws:end:WikiTextTocRule:76 --><br /> The <em>sensamagic clan</em> tempers out the <a class="wiki_link" href="/sensamagic%20comma">sensamagic comma</a>, <a class="wiki_link" href="/245_243">245/243</a>, a <a class="wiki_link" href="/triprime%20comma">triprime comma</a> with no factors of 2. |0 -5 1 2> to be exact. There are a number of <a class="wiki_link" href="/linear%20temperament">linear temperament</a>s in the <a class="wiki_link" href="/clan">clan</a> (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a <a class="wiki_link" href="/rank%20three%20temperament">rank three temperament</a> for which <a class="wiki_link" href="/283edo">283edo</a> is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Bohpier"></a><!-- ws:end:WikiTextHeadingRule:0 -->Bohpier</h1> Comma: 1220703125/1162261467<br /> <br /> POTE generator: ~27/25 = 146.476<br /> <br /> Map: [<1 0 0|, <0 13 19|]<br /> EDOs: 8, 41, 131, 172, 213c<br /> Badness: 0.8605<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Bohpier-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2> <a class="wiki_link" href="/Comma">Comma</a>s: 245/243, 3125/3087<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~27/25 = 146.474<br /> <br /> Map: [<1 0 0 0|, <0 13 19 23|]<br /> <a class="wiki_link" href="/Wedgie">Wedgie</a>: <<13 19 23 0 0 0||<br /> EDOs: <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/49edo">49</a>, <a class="wiki_link" href="/90edo">90</a>, <a class="wiki_link" href="/139edo">139</a><br /> EDTs: <a class="wiki_link" href="/13edt">13</a><br /> <a class="wiki_link" href="/Badness">Badness</a>: 0.0682<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Bohpier-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> Commas: 100/99, 245/243, 1344/1331<br /> <br /> POTE generator: ~12/11 = 146.545<br /> <br /> Map: [<1 0 0 0 2|, <0 13 19 23 12|]<br /> EDOs: 41, 90e, 131e<br /> Badness: 0.0339<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Bohpier-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> Commas: 100/99, 144/143, 245/243, 275/273<br /> <br /> POTE generator: ~12/11 = 146.603<br /> <br /> Map: [<1 0 0 0 2 2|, <0 13 19 23 12 14|]<br /> EDOs: 41, 90ef, 131ef, 221bdeff<br /> Badness: 0.0249<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Bohpier-Music"></a><!-- ws:end:WikiTextHeadingRule:8 -->Music</h2> By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> <!-- ws:start:WikiTextUrlRule:309:http://micro.soonlabel.com/bophier/bophier-1.mp3 --><a class="wiki_link_ext" href="http://micro.soonlabel.com/bophier/bophier-1.mp3" rel="nofollow">http://micro.soonlabel.com/bophier/bophier-1.mp3</a><!-- ws:end:WikiTextUrlRule:309 --><br /> <!-- ws:start:WikiTextUrlRule:310:http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 --><a class="wiki_link_ext" href="http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3" rel="nofollow">http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3</a><!-- ws:end:WikiTextUrlRule:310 --><br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Sensa"></a><!-- ws:end:WikiTextHeadingRule:10 -->Sensa</h1> Commas: 245/243, 65625/65536<br /> <br /> POTE generator: ~28/27 = 55.122<br /> <br /> Map: [<1 2 2 4|, <0 -9 7 -26|]<br /> Wedgie: <<9 -7 26 -32 16 80||<br /> EDOs: <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/43edo">43</a>, <a class="wiki_link" href="/65edo">65</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/109edo">109</a>, <a class="wiki_link" href="/196edo">196</a>, <a class="wiki_link" href="/283edo">283</a><br /> Badness: 0.0887<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Sensa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> Commas: 245/243, 385/384, 4000/3993<br /> <br /> POTE generator: ~28/27 = 55.126<br /> <br /> Map: [<1 2 2 4 3|, <0 -9 7 -26 10|]<br /> EDOs: 22, 43, 65, 87, 109, 196, 283<br /> Badness: 0.0358<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Sensa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2> Commas: 245/243, 352/351, 385/384, 625/624<br /> <br /> POTE generator: ~28/27 = 55.138<br /> <br /> Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|]<br /> EDOs: 22, 43, 65, 87, 109, 196, 283<br /> Badness: 0.0317<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h1> --><h1 id="toc8"><a name="Salsa"></a><!-- ws:end:WikiTextHeadingRule:16 -->Salsa</h1> Commas: 245/243, 32805/32768<br /> <br /> POTE generator: ~128/105 = 351.049<br /> <br /> Map: [<1 1 7 -1|, <0 2 -16 13|]<br /> Wedgie: <<2 -16 13 -30 15 75||<br /> EDOs: 17, 24, 41, 106d, 147d, 188cd, 335cd<br /> Badness: 0.08015<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h2> --><h2 id="toc9"><a name="Salsa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2> Commas: 243/242, 245/242, 385/384<br /> <br /> POTE generator: ~11/9 = 351.014<br /> <br /> Map: [<1 1 7 -1 2|, <0 2 -16 13 5|]<br /> EDOs: 17, 24, 41, 106d, 147d<br /> Badness: 0.0394<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="Salsa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2> Commas: 105/104, 144/143, 243/242, 245/242<br /> <br /> POTE generator: ~11/9 = 351.025<br /> <br /> Map: [<1 1 7 -1 2 4|, <0 2 -16 13 5 -1|]<br /> EDOs: 17, 24, 41, 106df, 147df<br /> Badness: 0.0310<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h1> --><h1 id="toc11"><a name="Pycnic"></a><!-- ws:end:WikiTextHeadingRule:22 -->Pycnic</h1> The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being a cent sharp of it in the POTE tuning for instance. Pycnic has MOS of size 9, 11, 13, 15, 17... which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.<br /> <br /> Commas: 245/243, 525/512<br /> <br /> POTE generator: ~45/32 = 567.720<br /> <br /> Map: [<1 3 -1 8|, <0 -3 7 -11|]<br /> Wedgie: <<3 -7 11 -18 9 45||<br /> EDOs: 17, 19, 55c, 74cd, 93cd<br /> Badness: 0.0737<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h1> --><h1 id="toc12"><a name="Cohemiripple"></a><!-- ws:end:WikiTextHeadingRule:24 -->Cohemiripple</h1> Commas: 245/243, 1323/1250<br /> <br /> POTE generator: ~7/5 = 549.944<br /> <br /> Map: [<1 7 11 12|, <0 -10 -16 -17|]<br /> Wedgie: <<10 16 17 2 -1 -5||<br /> EDOs: 24<br /> Badness: 0.1902<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="Cohemiripple-11-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->11-limit</h2> Commas: 77/75, 243/242, 245/242<br /> <br /> POTE generator: ~7/5 = 549.945<br /> <br /> Map: [<1 7 11 12 17|, <0 -10 -16 -17 -25|]<br /> EDOs: 24<br /> Badness: 0.0827<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h2> --><h2 id="toc14"><a name="Cohemiripple-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h2> Commas: 66/65, 77/75, 147/143, 351/350<br /> <br /> POTE generator: ~7/5 = 549.958<br /> <br /> Map: [<1 7 11 12 17 14|, <0 -10 -16 -17 -25 -19|]<br /> EDOs: 24<br /> Badness: 0.0499<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h1> --><h1 id="toc15"><a name="Superthird"></a><!-- ws:end:WikiTextHeadingRule:30 -->Superthird</h1> Commas: 245/243, 78125/76832<br /> <br /> POTE generator: ~9/7 = 439.076<br /> <br /> Map: [<1 13 15 25|, <0 -18 -20 -35|]<br /> Wedgie: <<18 20 35 -10 5 25||<br /> EDOs: 41, 317bc, 358bc, 399bc<br /> Badness: 0.1394<br /> <br /> <!-- ws:start:WikiTextHeadingRule:32:<h2> --><h2 id="toc16"><a name="Superthird-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> Commas: 100/99, 245/243, 78125/76832<br /> <br /> POTE generator: ~9/7 = 439.152<br /> <br /> Map: [<1 13 15 25 6|, <0 -18 -20 -35 -4|]<br /> EDOs: 41, 153be, 194be, 235bce<br /> Badness: 0.0709<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h2> --><h2 id="toc17"><a name="Superthird-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> Commas: 100/99, 144/143, 196/195, 1375/1352<br /> <br /> POTE generator: ~9/7 = 439.119<br /> <br /> Map: [<1 13 15 25 6 24|, <0 -18 -20 -35 -4 -32|]<br /> EDOs: 41<br /> Badness: 0.0528<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h1> --><h1 id="toc18"><a name="Magus"></a><!-- ws:end:WikiTextHeadingRule:36 -->Magus</h1> Commas: 50331648/48828125<br /> <br /> POTE generator: ~5/4 = 391.225<br /> <br /> Map: [<1 9 3|, <0 -11 -1|]<br /> EDOs: 40, 43, 46, 181c, 227c, 273c, 319c<br /> Badness: 0.3602<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h2> --><h2 id="toc19"><a name="Magus-7-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->7-limit</h2> Commas: 245/243, 28672/28125<br /> <br /> POTE generator: ~5/4 = 391.465<br /> <br /> Map: [<1 9 3 21|, <0 -11 -1 -27|]<br /> Wedgie: <<11 1 27 -24 12 60||<br /> EDOs: 46, 95, 141bc, 187bc, 328bc<br /> Badness: 0.1084<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h2> --><h2 id="toc20"><a name="Magus-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2> Commas: 176/175, 245/243, 1331/1323<br /> <br /> POTE generator: ~5/4 = 391.503<br /> <br /> Map: [<1 9 3 21 23|, <0 -11 -1 -27 -29|]<br /> EDOs: 46, 95, 141bc<br /> Badness: 0.0451<br /> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h2> --><h2 id="toc21"><a name="Magus-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2> Commas: 91/90, 176/175, 245/243, 1331/1323<br /> <br /> POTE generator: ~5/4 = 391.366<br /> <br /> Map: [<1 9 3 21 23 1|, <0 -11 -1 -27 -29 4|]<br /> EDOs: 46, 233bcf, 279bcf<br /> Badness: 0.0430<br /> <br /> <!-- ws:start:WikiTextHeadingRule:44:<h1> --><h1 id="toc22"><a name="Leapweek"></a><!-- ws:end:WikiTextHeadingRule:44 -->Leapweek</h1> Commas: 245/243, 2097152/2066715<br /> <br /> POTE generator: ~3/2 = 704.536<br /> <br /> Map: [<1 1 17 -6|, <0 1 -25 15|]<br /> EDOs: 17, 46, 109, 155, 264b, 419b<br /> Badness: 0.14058<br /> <br /> <!-- ws:start:WikiTextHeadingRule:46:<h2> --><h2 id="toc23"><a name="Leapweek-11-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->11-limit</h2> Commas: 245/243, 385/384, 1331/1323<br /> <br /> POTE generator: ~3/2 = 704.554<br /> <br /> Map: [<1 1 17 -6 -3|, <0 1 -25 15 11|]<br /> EDOs: 17, 46, 109, 264b, 373b, 637be<br /> Badness: 0.0507<br /> <br /> <!-- ws:start:WikiTextHeadingRule:48:<h2> --><h2 id="toc24"><a name="Leapweek-13-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->13-limit</h2> Commas: 169/168, 245/243, 352/351, 364/363<br /> <br /> POTE generator: ~3/2 = 704.571<br /> <br /> Map: [<1 1 17 -6 -3 -1|, <0 1 -25 15 11 8|]<br /> EDOs: 17, 46, 63, 109, 218f, 373bf<br /> Badness: 0.0327</body></html>