Immunity family: Difference between revisions
include monzo as well |
Add a new temperament |
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POTE generator: ~7/6 = 247.926 | POTE generator: ~7/6 = 247.926 | ||
Optimal GPV sequence: {{Val list| 5, 24c, 29, 63de, 92cddee }} | |||
Badness: 0.052661 | Badness: 0.052661 | ||
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POTE generator: ~7/6 = 247.969 | POTE generator: ~7/6 = 247.969 | ||
Optimal GPV sequence: {{Val list| 5, 24cf, 29, 92cddee }} | |||
Badness: 0.037078 | Badness: 0.037078 | ||
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POTE generator: ~7/6 = 247.773 | POTE generator: ~7/6 = 247.773 | ||
Optimal GPV sequence: {{Val list| 29, 63d, 92cdd }} | |||
Badness: 0.055243 | Badness: 0.055243 | ||
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POTE generator: ~7/6 = 247.783 | POTE generator: ~7/6 = 247.783 | ||
Optimal GPV sequence: {{Val list| 29, 63d, 92cdd }} | |||
Badness: 0.033196 | Badness: 0.033196 | ||
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POTE generator: ~64/55 = 246.603 | POTE generator: ~64/55 = 246.603 | ||
Optimal GPV sequence: {{Val list| 5, 34d, 39d, 73dd }} | |||
Badness: 0.051515 | Badness: 0.051515 | ||
== Immune == | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 225/224, 781250/750141 | |||
[[Mapping]]: [{{val|1 2 5 9}}, {{val|0 -2 -13 -30}}] | |||
{{Multival|legend=1|2 13 30 16 42 33}} | |||
[[POTE generator]]: ~567/500 = 247.583 | |||
{{Val list|legend=1| 29, 34d, 63 }} | |||
[[Badness]]: 0.144835 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 100/99, 225/224, 1331/1323 | |||
Mapping: [{{val|1 2 5 9 8}}, {{val|0 -2 -13 -30 -22}}] | |||
POTE generator: ~140/121 = 247.589 | |||
Optimal GPV sequence: {{Val list| 29, 34d, 63 }} | |||
Badness: 0.050990 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 100/99, 169/168, 225/224, 275/273 | |||
Mapping: [{{val|1 2 5 9 8 7}}, {{val|0 -2 -13 -30 -22 -16}}] | |||
POTE generator: ~15/13 = 247.593 | |||
Optimal GPV sequence: {{Val list| 29, 34d, 63 }} | |||
Badness: 0.028521 | |||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 04:51, 22 January 2022
Temperaments of immunity family temper out the immunity comma, 1638400/1594323 = [16-13 2⟩ (sasayoyo).
Immunity
Subgroup: 2.3.5
Comma: 1638400/1594323
Mapping: [⟨1 0 -8], ⟨0 2 13]]
POTE generator: ~729/640 = 247.070
Badness: 0.184738
7-limit
Subgroup: 2.3.5.7
Comma list: 49/48, 2240/2187
Mapping: [⟨1 0 -8 2], ⟨0 2 13 1]]
Wedgie: ⟨⟨ 2 13 1 16 -4 -34 ]]
POTE generator: ~7/6 = 247.555
Badness: 0.077631
11-limit
Subgroup: 2.3.5.7.11
Comma list: 49/48, 55/54, 896/891
Mapping: [⟨1 0 -8 2 9], ⟨0 2 13 1 -7]]
POTE generator: ~7/6 = 247.926
Optimal GPV sequence: Template:Val list
Badness: 0.052661
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 55/54, 91/90, 896/891
Mapping: [⟨1 0 -8 2 9 -9], ⟨0 2 13 1 -7 16]]
POTE generator: ~7/6 = 247.969
Optimal GPV sequence: Template:Val list
Badness: 0.037078
Impunity
Subgroup: 2.3.5.7.11
Comma list: 49/48, 100/99, 1232/1215
Mapping: [⟨1 0 -8 2 -14], ⟨0 2 13 1 22]]
POTE generator: ~7/6 = 247.773
Optimal GPV sequence: Template:Val list
Badness: 0.055243
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 91/90, 100/99, 352/351
Mapping: [⟨1 0 -8 2 -14 -9], ⟨0 2 13 1 22 16]]
POTE generator: ~7/6 = 247.783
Optimal GPV sequence: Template:Val list
Badness: 0.033196
Immunized
Subgroup: 2.3.5.7
Comma list: 64/63, 8748/8575
Mapping: [⟨1 0 -8 6], ⟨0 2 13 -4]]
Wedgie: ⟨⟨ 2 13 -4 16 -12 -46 ]]
POTE generator: ~81/70 = 246.479
Badness: 0.082592
11-limit
Subgroup: 2.3.5.7.11
Comma list: 64/63, 99/98, 1944/1925
Mapping: [⟨1 0 -8 6 13], ⟨0 2 13 -4 -12]]
POTE generator: ~64/55 = 246.603
Optimal GPV sequence: Template:Val list
Badness: 0.051515
Immune
Subgroup: 2.3.5.7
Comma list: 225/224, 781250/750141
Mapping: [⟨1 2 5 9], ⟨0 -2 -13 -30]]
Wedgie: ⟨⟨ 2 13 30 16 42 33 ]]
POTE generator: ~567/500 = 247.583
Badness: 0.144835
11-limit
Subgroup: 2.3.5.7.11
Comma list: 100/99, 225/224, 1331/1323
Mapping: [⟨1 2 5 9 8], ⟨0 -2 -13 -30 -22]]
POTE generator: ~140/121 = 247.589
Optimal GPV sequence: Template:Val list
Badness: 0.050990
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 169/168, 225/224, 275/273
Mapping: [⟨1 2 5 9 8 7], ⟨0 -2 -13 -30 -22 -16]]
POTE generator: ~15/13 = 247.593
Optimal GPV sequence: Template:Val list
Badness: 0.028521