Jubilismic clan
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author keenanpepper and made on 2012-01-01 11:58:57 UTC.
- The original revision id was 288966395.
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[[toc]] This tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide and lemba are discussed below; others in the clan are pajara, diminished, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere. No-threes [[POTE tuning|POTE generator]]: 380.840 No-threes map: [<2 0 1 1|, <0 0 1 1|] EDOs: [[10edo|10]], [[12edo|12]], [[16edo|16]], [[22edo|22]], [[104edo|104]] =Diminished= Commas: 36/35, 50/49 [[POTE tuning|POTE generator]]: ~3/2 = 699.523 Map: [<4 0 3 5|, <0 1 1 1|] EDOs: [[4edo|4]], [[12edo|12]] Badness: 0.0224 ==11-limit== Commas: 36/35, 50/49, 56/55 [[POTE tuning|POTE generator]]: ~3/2 = 709.109 Map: [<4 0 3 5 14|, <0 1 1 1 0|] EDOs: [[4edo|4]], [[8edo|8]], [[12edo|12]], [[44edo|44]] Badness: 0.0221 =Doublewide= Commas: 50/49, 875/864 [[POTE tuning|POTE generator]]: ~6/5 = 325.719 Map: [<2 1 3 4|, <0 4 3 3|] EDOs: [[18edo|18]], [[22edo|22]], [[48edo|48]], [[70edo|70]] Badness: 0.0435 ==11-limit== Commas: 50/49, 99/98, 875/864 [[POTE tuning|POTE generator]]: ~6/5 = 325.548 Map: [<2 1 3 4 8|, <0 4 3 3 -2|] EDOs: [[18edo|18]], [[22edo|22]], [[48edo|48]], [[70edo|70]], [[188edo|188]] Badness: 0.0321 ==Fleetwood== Commas: 50/49, 55/54, 176/175 POTE generator: ~6/5 = 327.038 Map: [<2 1 3 4 2|, <0 4 3 3 9|] =Lemba= Commas: 50/49, 525/512 [[POTE tuning|POTE generator]]: ~8/7 = 232.089 Map: [<2 2 5 6|, <0 3 -1 -1|] EDOs: [[10edo|10]], [[16edo|16]], [[26edo|26]], [[62edo|62]] Badness: 0.0622 =Vigintiduo= Commas: 50/49, 64/63, 245/243 POTE generator: ~11/8 = 557.563 Map: [<22 35 51 62 0|, <0 0 0 0 1|] EDOs: 22, 66de, 88bde, 110bd, 198bcdde Badness: 0.0484 =Duodecim= Commas: 36/35, 50/49, 64/63 POTE generator: ~11/8 = 565.023 Map: [<12 19 28 34 0|, <0 0 0 0 1|] EDOs: 12, 24d, 36d Badness: 30.536
Original HTML content:
<html><head><title>Jubilismic clan</title></head><body><!-- ws:start:WikiTextTocRule:16:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><div style="margin-left: 1em;"><a href="#Diminished">Diminished</a></div> <!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><div style="margin-left: 2em;"><a href="#Diminished-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><div style="margin-left: 1em;"><a href="#Doublewide">Doublewide</a></div> <!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><div style="margin-left: 2em;"><a href="#Doublewide-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><div style="margin-left: 2em;"><a href="#Doublewide-Fleetwood">Fleetwood</a></div> <!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><div style="margin-left: 1em;"><a href="#Lemba">Lemba</a></div> <!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 1em;"><a href="#Vigintiduo">Vigintiduo</a></div> <!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 1em;"><a href="#Duodecim">Duodecim</a></div> <!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --></div> <!-- ws:end:WikiTextTocRule:25 -->This tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide and lemba are discussed below; others in the clan are pajara, diminished, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.<br /> <br /> No-threes <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 380.840<br /> <br /> No-threes map: [<2 0 1 1|, <0 0 1 1|]<br /> EDOs: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/104edo">104</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Diminished"></a><!-- ws:end:WikiTextHeadingRule:0 -->Diminished</h1> Commas: 36/35, 50/49<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 699.523<br /> <br /> Map: [<4 0 3 5|, <0 1 1 1|]<br /> EDOs: <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/12edo">12</a><br /> Badness: 0.0224<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Diminished-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 36/35, 50/49, 56/55<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 709.109<br /> <br /> Map: [<4 0 3 5 14|, <0 1 1 1 0|]<br /> EDOs: <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/44edo">44</a><br /> Badness: 0.0221<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Doublewide"></a><!-- ws:end:WikiTextHeadingRule:4 -->Doublewide</h1> Commas: 50/49, 875/864<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.719<br /> <br /> Map: [<2 1 3 4|, <0 4 3 3|]<br /> EDOs: <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/48edo">48</a>, <a class="wiki_link" href="/70edo">70</a><br /> Badness: 0.0435<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit</h2> Commas: 50/49, 99/98, 875/864<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.548<br /> <br /> Map: [<2 1 3 4 8|, <0 4 3 3 -2|]<br /> EDOs: <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/48edo">48</a>, <a class="wiki_link" href="/70edo">70</a>, <a class="wiki_link" href="/188edo">188</a><br /> Badness: 0.0321<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Doublewide-Fleetwood"></a><!-- ws:end:WikiTextHeadingRule:8 -->Fleetwood</h2> Commas: 50/49, 55/54, 176/175<br /> <br /> POTE generator: ~6/5 = 327.038<br /> <br /> Map: [<2 1 3 4 2|, <0 4 3 3 9|]<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:10 -->Lemba</h1> Commas: 50/49, 525/512<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 232.089<br /> <br /> Map: [<2 2 5 6|, <0 3 -1 -1|]<br /> EDOs: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/62edo">62</a><br /> Badness: 0.0622<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Vigintiduo"></a><!-- ws:end:WikiTextHeadingRule:12 -->Vigintiduo</h1> Commas: 50/49, 64/63, 245/243<br /> <br /> POTE generator: ~11/8 = 557.563<br /> <br /> Map: [<22 35 51 62 0|, <0 0 0 0 1|]<br /> EDOs: 22, 66de, 88bde, 110bd, 198bcdde<br /> Badness: 0.0484<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="Duodecim"></a><!-- ws:end:WikiTextHeadingRule:14 -->Duodecim</h1> Commas: 36/35, 50/49, 64/63<br /> <br /> POTE generator: ~11/8 = 565.023<br /> <br /> Map: [<12 19 28 34 0|, <0 0 0 0 1|]<br /> EDOs: 12, 24d, 36d<br /> Badness: 30.536</body></html>