Jubilismic clan
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author xenwolf and made on 2011-08-21 10:40:32 UTC.
- The original revision id was 247377735.
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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 ==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
Original HTML content:
<html><head><title>Jubilismic clan</title></head><body><!-- ws:start:WikiTextTocRule:10:<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:10 --><!-- ws:start:WikiTextTocRule:11: --><div style="margin-left: 2em;"><a href="#x-Diminished">Diminished</a></div> <!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><div style="margin-left: 3em;"><a href="#x-Diminished-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><div style="margin-left: 2em;"><a href="#x-Doublewide">Doublewide</a></div> <!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><div style="margin-left: 3em;"><a href="#x-Doublewide-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><div style="margin-left: 2em;"><a href="#x-Lemba">Lemba</a></div> <!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --></div> <!-- ws:end:WikiTextTocRule:16 -->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:<h2> --><h2 id="toc0"><a name="x-Diminished"></a><!-- ws:end:WikiTextHeadingRule:0 -->Diminished</h2> 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:<h3> --><h3 id="toc1"><a name="x-Diminished-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h3> 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="x-Doublewide"></a><!-- ws:end:WikiTextHeadingRule:4 -->Doublewide</h2> 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:<h3> --><h3 id="toc3"><a name="x-Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit</h3> 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="x-Lemba"></a><!-- ws:end:WikiTextHeadingRule:8 -->Lemba</h2> 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</body></html>