Laconic family
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-10-17 22:43:48 UTC.
- The original revision id was 265801940.
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Original Wikitext content:
The Laconic family tempers out the Laconic comma, 2187/2000, which is the difference between three 10/9's and a 3/2. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in 16-EDO and 21-EDO. =Laconic= Comma: 2187/2000 POTE generator: ~10/9 = 227.426 Map: [<1 1 1|, <0 3 7|> EDOs: 5, 16, 21, 37b Badness: 0.1618 ==7-limit== Commas: 36/35, 1029/1024 POTE generator: ~8/7 = 228.334 Map: [<1 1 1 3|, <0 3 7 -1|> EDOs: 5, 16, 21, 37b Badness: 0.0607 ==11-limit== Commas: 36/35, 45/44, 1029/1024 POTE generator: ~8/7 = 227.373 Map: [<1 1 1 3 1|, <0 3 7 -1 13|> EDOs: 16, 21, 37b Badness: 0.0495 =Spartan= Commas: 36/35, 56/55, 1029/1024 POTE generator: ~8/7 = 229.535 Map: [<1 1 1 3 5|, <0 3 7 -1 -8|> EDOs: 5, 21 Badness: 0.0627
Original HTML content:
<html><head><title>Laconic Family</title></head><body>The Laconic family tempers out the Laconic comma, 2187/2000, which is the difference between three 10/9's and a 3/2. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in 16-EDO and 21-EDO.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Laconic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Laconic</h1> Comma: 2187/2000<br /> <br /> POTE generator: ~10/9 = 227.426<br /> <br /> Map: [<1 1 1|, <0 3 7|><br /> EDOs: 5, 16, 21, 37b<br /> Badness: 0.1618<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Laconic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2> Commas: 36/35, 1029/1024<br /> <br /> POTE generator: ~8/7 = 228.334<br /> <br /> Map: [<1 1 1 3|, <0 3 7 -1|><br /> EDOs: 5, 16, 21, 37b<br /> Badness: 0.0607<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Laconic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> Commas: 36/35, 45/44, 1029/1024<br /> <br /> POTE generator: ~8/7 = 227.373<br /> <br /> Map: [<1 1 1 3 1|, <0 3 7 -1 13|><br /> EDOs: 16, 21, 37b<br /> Badness: 0.0495<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Spartan"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spartan</h1> Commas: 36/35, 56/55, 1029/1024<br /> <br /> POTE generator: ~8/7 = 229.535<br /> <br /> Map: [<1 1 1 3 5|, <0 3 7 -1 -8|><br /> EDOs: 5, 21<br /> Badness: 0.0627</body></html>