Very high accuracy temperaments: Difference between revisions

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 = Rank-2 temperaments =
 == Kwazy ==
+Kwazy temperament (118&amp;612) tempers out the kwazy comma, {{Monzo|-53 10 16}} (quadla-quadquadyo). 7-limit extensions of the kwazy temperament include [[Hemimage temperaments #Bisupermajor|bisupermajor]] and [[Marvel temperaments #Gwazy|gwazy]].
 Subgroup: 2.3.5
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 Mapping: [{{val| 2 1 6 }}, {{val| 0 8 -5 }}]
-POTE generator: ~1125/1024 = 162.743
+POTE generator: ~1125/1024 = 162.742626
-Vals: {{Val list| 118, 494, 612, 730, 848, 1342, 1954 }}
+Vals: {{Val list| 22, 74, 96, 118, 376, 494, 612, 1342, 3296, 4638, 7934 }}
-Badness: 0.0141
+Badness: 0.014091
 == Astro ==
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 Comma list: {{monzo| 91 -12 -31 }}
-Mapping: [{{val| 1 5 1 }}, {{val| 0 31 -12 }}]
+Mapping: [{{val| 1 5 1 }}, {{val| 0 -31 12 }}]
-POTE generator: ~296630859375/274877906944 = 132.1947
+POTE generator: ~296630859375/274877906944 = 132.194668
-Vals: {{Val list| 118, 935, 1053, 1171, 1289, 1407, 2224, 2460 }}
+Vals: {{Val list| 9, 109, 118, 699, 817, 935, 1053, 1171, 13934, 15105, 16276, 17447, 18618, 19789, 20960, 22131, 23302, 24473, 25644, 26815, 27986c }}
-Badness: 0.0628
+Badness: 0.062778
 == Whoosh ==
+Whoosh temperament (152&amp;289) tempers out the whoosh comma, {{Monzo|37 25 -33}} (saletrigu). 7-limit extensions of the whoosh temperament include [[Porwell temperamtents #Whoosh|whoosh]].
 Subgroup: 2.3.5
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 Mapping: [{{val| 1 -16 -11 }}, {{val| 0 33 25 }}]
-POTE generator: ~864/625 = 560.5468
+POTE generator: ~864/625 = 560.546826
-Vals: {{Val list| 289, 441, 730, 1171, 1612, 1901, 2631 }}
+Vals: {{Val list| 15, 122, 137, 152, 289, 441, 730, 1171, 1901, 3072, 4243, 7315, 25017, 32332, 39647c }}
-Badness: 0.0257
+Badness: 0.025653
 == Monzismic ==
-{{See also| Monzisma }}
+Monzismic temperament (53&amp;559) tempers out the [[monzisma]], {{Monzo|54 -37 2}}. 7-limit extensions of the monzismic temperament include [[Ragismic microtemperamtents #Monzism|monzism]].
 Subgroup: 2.3.5
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 Mapping: [{{val| 1 0 -27 }}, {{val| 0 2 37 }}]
-POTE generator: ~387420489/335544320 = 249.0184
+POTE generator: ~387420489/335544320 = 249.018406
-Vals: {{Val list| 53, 506, 559, 612, 1783, 2954, 6520 }}
+Vals: {{Val list| 53, 347, 400, 453, 506, 559, 612, 1171, 1783, 4737, 6520 }}
-Badness: 0.0104
+Badness: 0.010391
 == Egads ==
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 Mapping: [{{val| 1 15 16 }}, {{val| 0 -51 -52 }}]
-POTE generator: ~6/5 = 315.6479
+POTE generator: ~6/5 = 315.647919
-Vals: {{Val list| 441, 901, 1342, 1783, 2224, 3125, 4467, 4908 }}
+Vals: {{Val list| 19, 365, 384, 403, 422, 441, 901, 1342, 1783, 3125, 4908 }}
-Badness: 0.0418
+Badness: 0.041819
 == Fortune ==
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 == Senior ==
+Senior temperament (171&amp;1171) tempers out the senior comma, {{Monzo|-17 62 -35}} (quadla-sepquingu). 7-limit extensions of the senior temperament include [[Ragismic microtemperaments #Seniority|seniority]].
 Subgroup: 2.3.5
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 Mapping: [{{val| 1 11 19 }}, {{val| 0 -35 -62 }}]
-POTE generator: ~94143178827/78125000000 = 322.8014
+POTE generator: ~94143178827/78125000000 = 322.801358
-Vals: {{Val list| 171, 1171, 1342, 2513, 3684, 3855, 4855, 6197 }}
+Vals: {{Val list| 171, 658, 829, 1000, 1171, 2513, 6197, 39695, 45892, 52089, 58286, 64483, 70680 }}
-Badness: 0.0212
+Badness: 0.021220
 == Gross ==
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 Vals: {{Val list| 11664, 21480, 33144, 36881, 48545, 54624, 70025, 81689, 91505, 103169}}
+[[Category:Temperament collection]]
 {{Todo| add definition | intro }}