Vulture family: Difference between revisions
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Copy buzzard from the hemifamity temperaments page |
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The '''vulture family''' of [[temperament]]s [[tempers out]] the [[vulture comma]], {{monzo| 24 -21 4 }} = 10485760000/10460353203, a small [[5-limit]] comma of 4.2 [[cent]]s. | The '''vulture family''' of [[temperament]]s [[tempers out]] the [[vulture comma]], {{monzo| 24 -21 4 }} = 10485760000/10460353203, a small [[5-limit]] comma of 4.2 [[cent]]s. | ||
Temperaments discussed elsewhere includes | Temperaments discussed elsewhere includes [[Landscape microtemperaments #Terture|terture]]. | ||
== Vulture == | == Vulture == | ||
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Badness: 0.035458 | Badness: 0.035458 | ||
== Buzzard == | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 1728/1715, 5120/5103 | |||
[[Mapping]]: [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3 }}] | |||
{{Multival|legend=1| 4 21 -3 24 -16 -66 }} | |||
[[POTE generator]]: ~21/16 = 475.636 | |||
{{Val list|legend=1| 5, 43c, 48, 53, 111, 164d, 275d }} | |||
[[Badness]]: 0.047963 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 176/175, 540/539, 5120/5103 | |||
Mapping: [{{val| 1 0 -6 4 -12 }}, {{val| 0 4 21 -3 39 }}] | |||
POTE generator: ~21/16 = 475.700 | |||
Optimal GPV sequence: {{Val list| 53, 58, 111, 280cd, 391cd }} | |||
Badness: 0.034484 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 176/175, 351/350, 540/539, 676/675 | |||
Mapping: [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27 }}] | |||
POTE generator: ~21/16 = 475.697 | |||
Optimal GPV sequence: {{Val list| 53, 58, 111, 280cdf, 391cdf }} | |||
Badness: 0.018842 | |||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 176/175, 256/255, 351/350, 442/441, 540/539 | |||
Mapping: [{{val| 1 0 -6 4 -12 -7 14 }}, {{val| 0 4 21 -3 39 27 -25 }}] | |||
POTE generator: ~21/16 = 475.692 | |||
Optimal GPV sequence: {{Val list| 53, 58, 111, 321cdfg }} | |||
Badness: 0.018403 | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 176/175, 256/255, 286/285, 324/323, 351/350, 540/539 | |||
Mapping: [{{val| 1 0 -6 4 -12 -7 14 -12 }}, {{val| 0 4 21 -3 39 27 -25 41 }}] | |||
POTE generator: ~21/16 = 475.679 | |||
Optimal GPV sequence: {{Val list| 53, 58h, 111 }} | |||
Badness: 0.015649 | |||
=== Buteo === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 99/98, 385/384, 2200/2187 | |||
Mapping: [{{val| 1 0 -6 4 9 }}, {{val| 0 4 21 -3 -14 }}] | |||
POTE generator: ~21/16 = 475.436 | |||
Optimal GPV sequence: {{Val list| 5, 48, 53 }} | |||
Badness: 0.060238 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 99/98, 275/273, 385/384, 572/567 | |||
Mapping: [{{val| 1 0 -6 4 9 -7 }}, {{val| 0 4 21 -3 -14 27 }}] | |||
POTE generator: ~21/16 = 475.464 | |||
Optimal GPV sequence: {{Val list| 5, 48f, 53 }} | |||
Badness: 0.039854 | |||
== Condor == | == Condor == | ||