Jubilismic clan
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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 lemba and diminished are discussed below; others in the clan are pajara, 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 ==Demolished== Commas: 36/35, 45/44, 50/49 POTE generator: ~3/2 = 689.881 Map: [<4 0 3 5 -5|, <0 1 1 1 3|] EDOs: 12, 28, 40de Badness: 0.0266 =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]], [[26edo]], [[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|] EDOs: 22, 26e Badness: 0.0352 =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 ==11-limit== Commas: 45/44, 50/49, 385/384 POTE generator: ~8/7 = 230.974 Map: [<2 2 5 6 5|, <0 3 -1 -1 5|] EDOs: 10, 16, 26 Badness: 0.0416 ==13-limit== Commas: 45/44, 50/49, 65/64, 78/77 POTE generator: ~8/7 = 230.966 Map: [<2 2 5 6 5 7|, <0 3 -1 -1 5 1|] EDOs: 10, 16, 26 Badness: 0.0255 =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 =Crepuscular= Commas: 50/49, 4375/4374 POTE generator: ~27/25 = 140.349 Map: [<2 2 3 4|, <0 5 7 7|] Wedgie: <<10 14 14 -1 -6 -7|| EDOs: 26, 34d, 60d, 94d Badness: 0.0867 ==11-limit== Commas: 50/49, 99/98, 1944/1925 POTE generator: ~12/11 = 140.587 Map: [<2 2 3 4 6|, <0 5 7 7 4|] EDOs: 26, 34d, 60d, 94de Badness: 0.0408 ==13-limit== Commas: 50/49, 78/77, 99/98, 144/143 POTE generator: ~12/11 = 140.554 Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|] EDOs: 26, 34d, 60d, 94de Badness: 0.0244
Original HTML content:
<html><head><title>Jubilismic clan</title></head><body><!-- ws:start:WikiTextTocRule:28:<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:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 1em;"><a href="#Diminished">Diminished</a></div> <!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#Diminished-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 2em;"><a href="#Diminished-Demolished">Demolished</a></div> <!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 1em;"><a href="#Doublewide">Doublewide</a></div> <!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 2em;"><a href="#Doublewide-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#Doublewide-Fleetwood">Fleetwood</a></div> <!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 1em;"><a href="#Lemba">Lemba</a></div> <!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 2em;"><a href="#Lemba-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 2em;"><a href="#Lemba-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><div style="margin-left: 1em;"><a href="#Vigintiduo">Vigintiduo</a></div> <!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 1em;"><a href="#Duodecim">Duodecim</a></div> <!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><div style="margin-left: 1em;"><a href="#Crepuscular">Crepuscular</a></div> <!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 2em;"><a href="#Crepuscular-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 2em;"><a href="#Crepuscular-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --></div> <!-- ws:end:WikiTextTocRule:43 --><br /> This tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide lemba and diminished are discussed below; others in the clan are pajara, 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:<h2> --><h2 id="toc2"><a name="Diminished-Demolished"></a><!-- ws:end:WikiTextHeadingRule:4 -->Demolished</h2> Commas: 36/35, 45/44, 50/49<br /> <br /> POTE generator: ~3/2 = 689.881<br /> <br /> Map: [<4 0 3 5 -5|, <0 1 1 1 3|]<br /> EDOs: 12, 28, 40de<br /> Badness: 0.0266<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Doublewide"></a><!-- ws:end:WikiTextHeadingRule:6 -->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="/26edo">26edo</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:8:<h2> --><h2 id="toc4"><a name="Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->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:10:<h2> --><h2 id="toc5"><a name="Doublewide-Fleetwood"></a><!-- ws:end:WikiTextHeadingRule:10 -->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 /> EDOs: 22, 26e<br /> Badness: 0.0352<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:12 -->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:14:<h2> --><h2 id="toc7"><a name="Lemba-11-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->11-limit</h2> Commas: 45/44, 50/49, 385/384<br /> <br /> POTE generator: ~8/7 = 230.974<br /> <br /> Map: [<2 2 5 6 5|, <0 3 -1 -1 5|]<br /> EDOs: 10, 16, 26<br /> Badness: 0.0416<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Lemba-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h2> Commas: 45/44, 50/49, 65/64, 78/77<br /> <br /> POTE generator: ~8/7 = 230.966<br /> <br /> Map: [<2 2 5 6 5 7|, <0 3 -1 -1 5 1|]<br /> EDOs: 10, 16, 26<br /> Badness: 0.0255<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><a name="Vigintiduo"></a><!-- ws:end:WikiTextHeadingRule:18 -->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:20:<h1> --><h1 id="toc10"><a name="Duodecim"></a><!-- ws:end:WikiTextHeadingRule:20 -->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<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h1> --><h1 id="toc11"><a name="Crepuscular"></a><!-- ws:end:WikiTextHeadingRule:22 -->Crepuscular</h1> Commas: 50/49, 4375/4374<br /> <br /> POTE generator: ~27/25 = 140.349<br /> <br /> Map: [<2 2 3 4|, <0 5 7 7|]<br /> Wedgie: <<10 14 14 -1 -6 -7||<br /> EDOs: 26, 34d, 60d, 94d<br /> Badness: 0.0867<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="Crepuscular-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2> Commas: 50/49, 99/98, 1944/1925<br /> <br /> POTE generator: ~12/11 = 140.587<br /> <br /> Map: [<2 2 3 4 6|, <0 5 7 7 4|]<br /> EDOs: 26, 34d, 60d, 94de<br /> Badness: 0.0408<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="Crepuscular-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2> Commas: 50/49, 78/77, 99/98, 144/143<br /> <br /> POTE generator: ~12/11 = 140.554<br /> <br /> Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|]<br /> EDOs: 26, 34d, 60d, 94de<br /> Badness: 0.0244</body></html>