Trienstonic clan
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-02-26 17:42:43 UTC.
- The original revision id was 205295050.
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Original Wikitext content:
Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, 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|] Eigenmonzos: 2, 7/5 9-limit minimax [<1 0 0 0|, <4 0 -1 0|, <0 0 1 0|, <10 0 -3 0|] Eigenmonzos: 2, 5/4 [[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 ==Octokaidecal== Commas: 28/27, 50/49 [[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 [[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 [[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 [[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>Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, 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:<h2> --><h2 id="toc0"><a name="x-Father"></a><!-- ws:end:WikiTextHeadingRule:0 -->Father</h2> 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 /> Eigenmonzos: 2, 7/5<br /> <br /> 9-limit minimax<br /> [<1 0 0 0|, <4 0 -1 0|, <0 0 1 0|, <10 0 -3 0|]<br /> Eigenmonzos: 2, 5/4<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:<h2> --><h2 id="toc1"><a name="x-Octokaidecal"></a><!-- ws:end:WikiTextHeadingRule:2 -->Octokaidecal</h2> Commas: 28/27, 50/49<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:4:<h2> --><h2 id="toc2"><a name="x-Opossum"></a><!-- ws:end:WikiTextHeadingRule:4 -->Opossum</h2> Commas: 28/27, 126/125<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:6:<h3> --><h3 id="toc3"><a name="x-Opossum-11-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit</h3> Commas: 28/27, 55/54, 77/75<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:8:<h3> --><h3 id="toc4"><a name="x-Opossum-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h3> Commas: 28/27, 40/39, 55/54, 66/65<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>