Trienstonic clan
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-05-18 19:35:16 UTC.
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Original Wikitext content:
[[toc|flat]] Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith. =Father= Commas: 16/15, 28/27 7-limit minimax [<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|] [[Eigenmonzo subgroup]]: 2.7/5 9-limit eigenmonzo subgroup: 2.9/5 [[POTE tuning|POTE generator]]: 742.002 Map: [<1 0 4 -2|, <0 1 -1 3|] Wedgie: <<1 -1 3 -4 2 10|| EDOs: 5, 8, 13, 21, 55, 76 =Uncle= Commas: 28/27, 256/245 7-limit eigenmonzo subgroup: 2.5/3 9-limit eigenmonzo subgroup: 2.9/5 =Octokaidecal= Commas: 28/27, 50/49 7-limit eigenmonzo subgroup: 2.5 9-limit eigenmonzo subgroup: 2.5 [[POTE tuning|POTE generator]]: 728.874 Map: [<2 0 -5 -4|, <0 1 3 3|] Wedgie: <<2 6 6 5 4 -2|| EDOs: 10, 18, 28 =Opossum= Commas: 28/27, 126/125 7-limit eigenmonzo subgroup: 2.7 9-limit eigenmonzo subgroup: 2.7 [[POTE tuning|POTE generator]]: ~10/9 = 159.691 Map: [<1 2 3 4|, <0 -3 -5 -9|] Wedgie: <<3 5 9 1 6 7|| EDOs: 7, 8, 15 Badness: 0.0407 ==11-limit== Commas: 28/27, 55/54, 77/75 11-limit eigenmonzo subgroup: 2.7 [[POTE tuning|POTE generator]]: ~10/9 = 159.807 Map: [<1 2 3 4 4|, <0 -3 -5 -9 -4|] EDOs: 7, 8, 15 Badness: 0.0223 ==13-limit== Commas: 28/27, 40/39, 55/54, 66/65 13-limit eigenmonzo subgroup: 2.7 15-limit eigenmonzo subgroup: 2.7 [[POTE tuning|POTE generator]]: ~10/9 = 158.805 Map: [<1 2 3 4 4 4|, <0 -3 -5 -9 -4 -2|] EDOs: 7, 8, 15, 53, 68 Badness: 0.0194
Original HTML content:
<html><head><title>Trienstonic 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="#Father">Father</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Uncle">Uncle</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Octokaidecal">Octokaidecal</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Opossum">Opossum</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> <!-- ws:end:WikiTextTocRule:19 --><br /> Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Father"></a><!-- ws:end:WikiTextHeadingRule:0 -->Father</h1> Commas: 16/15, 28/27<br /> <br /> 7-limit minimax<br /> [<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|]<br /> <a class="wiki_link" href="/Eigenmonzo%20subgroup">Eigenmonzo subgroup</a>: 2.7/5<br /> <br /> 9-limit eigenmonzo subgroup: 2.9/5<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 742.002<br /> <br /> Map: [<1 0 4 -2|, <0 1 -1 3|]<br /> Wedgie: <<1 -1 3 -4 2 10||<br /> EDOs: 5, 8, 13, 21, 55, 76<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Uncle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Uncle</h1> Commas: 28/27, 256/245<br /> <br /> 7-limit eigenmonzo subgroup: 2.5/3<br /> 9-limit eigenmonzo subgroup: 2.9/5<br /> <br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Octokaidecal"></a><!-- ws:end:WikiTextHeadingRule:4 -->Octokaidecal</h1> Commas: 28/27, 50/49<br /> <br /> 7-limit eigenmonzo subgroup: 2.5<br /> 9-limit eigenmonzo subgroup: 2.5<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 728.874<br /> <br /> Map: [<2 0 -5 -4|, <0 1 3 3|]<br /> Wedgie: <<2 6 6 5 4 -2||<br /> EDOs: 10, 18, 28<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Opossum"></a><!-- ws:end:WikiTextHeadingRule:6 -->Opossum</h1> Commas: 28/27, 126/125<br /> <br /> 7-limit eigenmonzo subgroup: 2.7<br /> 9-limit eigenmonzo subgroup: 2.7<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.691<br /> <br /> Map: [<1 2 3 4|, <0 -3 -5 -9|]<br /> Wedgie: <<3 5 9 1 6 7||<br /> EDOs: 7, 8, 15<br /> Badness: 0.0407<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Opossum-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2> Commas: 28/27, 55/54, 77/75<br /> <br /> 11-limit eigenmonzo subgroup: 2.7<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.807<br /> <br /> Map: [<1 2 3 4 4|, <0 -3 -5 -9 -4|]<br /> EDOs: 7, 8, 15<br /> Badness: 0.0223<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Opossum-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> Commas: 28/27, 40/39, 55/54, 66/65<br /> <br /> 13-limit eigenmonzo subgroup: 2.7<br /> 15-limit eigenmonzo subgroup: 2.7<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 158.805<br /> <br /> Map: [<1 2 3 4 4 4|, <0 -3 -5 -9 -4 -2|]<br /> EDOs: 7, 8, 15, 53, 68<br /> Badness: 0.0194</body></html>