Breed family
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2010-09-22 16:07:14 UTC.
- The original revision id was 164663759.
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Original Wikitext content:
Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, 2749et will certainly do the trick. ===Vital statistics=== Comma c = 2401/2400 7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat Lattice basis: 49/40 length 0.7858 8/7 length 1.1241 Angle(49/40, 8/7) = 107.367 degrees Map to lattice: [<0 2 -1 0|, <0 0 -2 -1|] EDOs: 441, 612, 2308, 2749 ==11-limit children== ===Jove, aka Wonder=== Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo.
Original HTML content:
<html><head><title>Breed family</title></head><body>Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, 2749et will certainly do the trick.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3> Comma c = 2401/2400<br /> 7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat<br /> Lattice basis: 49/40 length 0.7858 8/7 length 1.1241<br /> Angle(49/40, 8/7) = 107.367 degrees<br /> Map to lattice: [<0 2 -1 0|, <0 0 -2 -1|]<br /> EDOs: 441, 612, 2308, 2749<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-11-limit children"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit children</h2> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-11-limit children-Jove, aka Wonder"></a><!-- ws:end:WikiTextHeadingRule:4 -->Jove, aka Wonder</h3> Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo.</body></html>