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]]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 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
Original HTML content:
<html><head><title>Sensamagic clan</title></head><body><!-- ws:start:WikiTextTocRule:12:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Bohpier">Bohpier</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Sensa">Sensa</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Salsa">Salsa</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> <!-- ws:end:WikiTextTocRule:19 --><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> <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 /> Music<br /> By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> <!-- ws:start:WikiTextUrlRule:103: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:103 --><br /> <!-- ws:start:WikiTextUrlRule:104: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:104 --><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Sensa"></a><!-- ws:end:WikiTextHeadingRule:2 -->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:4:<h2> --><h2 id="toc2"><a name="Sensa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->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:6:<h2> --><h2 id="toc3"><a name="Sensa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->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:8:<h1> --><h1 id="toc4"><a name="Salsa"></a><!-- ws:end:WikiTextHeadingRule:8 -->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:10:<h2> --><h2 id="toc5"><a name="Salsa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->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</body></html>