Cataharry family: Difference between revisions
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The '''cataharry family''' of rank three temperaments tempers out the [[cataharry comma]], 19683/19600. | |||
The cataharry family of rank three temperaments tempers out the cataharry comma, 19683/19600. | |||
= Cataharry = | |||
Comma: 19683/19600 | Comma: 19683/19600 | ||
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Generators: 2, 140/81, 5 | Generators: 2, 140/81, 5 | ||
{{EDOs|legend=1| 19, 24, 48, 53, 58, 72, 130, 202, 457, 587, 659, 717 }} | |||
[[ | [[Projection pair]]s: 3 19600/6561 7 1033052339200000000/150094635296999121 to 2.5.81/7 | ||
=Albus= | = Albus = | ||
Commas: 540/539, 8019/8000 | Commas: 540/539, 8019/8000 | ||
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Generators: 2, 140/81, 5 | Generators: 2, 140/81, 5 | ||
{{EDOs|legend=1| 19, 53, 58, 72, 130, 183, 255, 385, 640 }} | |||
Badness: 0.000621 | Badness: 0.000621 | ||
==Madagascar== | == Madagascar == | ||
Commas: 351/350, 540/539, 676/675 | Commas: 351/350, 540/539, 676/675 | ||
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Generators: 2, 26/15, 5 | Generators: 2, 26/15, 5 | ||
{{EDOs|legend=1| 19, 53, 58, 72, 111, 130, 183, 313 }} | |||
Badness: 0.000560 | Badness: 0.000560 | ||
[[ | [[Spectrum of a temperament|Spectrum]]: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11 | ||
Projection pairs: 3 676/225 7 1357375919744/192216796875 11 16218292236328125/1491077447838784 13 8788/675 to 2.5.13/3 | Projection pairs: 3 676/225 7 1357375919744/192216796875 11 16218292236328125/1491077447838784 13 8788/675 to 2.5.13/3 | ||
[[ | * [[madagascar19]] | ||
=Snape= | = Snape = | ||
Commas: 19683/19600 | Commas: 441/440, 19683/19600 | ||
==13-limit== | == 13-limit == | ||
Commas: 351/350, 441/440, 729/728 | Commas: 351/350, 441/440, 729/728 | ||
=Hagrid= | = Hagrid = | ||
Commas: 243/242, 9801/9800 | Commas: 243/242, 9801/9800 | ||
==13-limit== | == 13-limit == | ||
Commas: 243/242, 351/350, 729/728 | Commas: 243/242, 351/350, 729/728 | ||
=Draco= | = Draco = | ||
Commas: 19683/19600 | Commas: 176/175, 19683/19600 | ||
Map: [<1 0 0 -2 -6|, <0 2 0 9 9|, <0 0 1 -1 1|] | Map: [<1 0 0 -2 -6|, <0 2 0 9 9|, <0 0 1 -1 1|] | ||
EDOs | {{EDOs|legend=1| 24, 34d, 53, 58, 111, 357cd, 468cd }} | ||
Badness: 0.001934 | Badness: 0.001934 | ||
==13-limit== | == 13-limit == | ||
Commas: 176/175, 351/350, 676/675 | Commas: 176/175, 351/350, 676/675 | ||
Map: [<1 0 0 -2 -6 -1|, <0 2 0 9 9 3|, <0 0 1 -1 1 1|] | Map: [<1 0 0 -2 -6 -1|, <0 2 0 9 9 3|, <0 0 1 -1 1 1|] | ||
EDOs | {{EDOs|legend=1| 24, 34d, 53, 58, 77, 111, 357cdf, 468cdf }} | ||
Badness: 0.000999 | Badness: 0.000999 | ||
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[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Cataharry]] | [[Category:Cataharry]] | ||
[[Category:Rank 3]] | |||
{{todo|review}} | |||