Semaphoresmic clan: Difference between revisions
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== Mabila == | == Mabila == | ||
{{see also| Mabila family }} | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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Badness: 0.037270 | Badness: 0.037270 | ||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 49/48, 56/55, 91/90, 154/153, 375/374 | |||
Mapping: [{{val| 1 6 1 5 7 9 1 }}, {{val| 0 -10 3 -5 -8 -12 7 }}] | |||
POTE generator: ~15/11 = 529.695 | |||
Optimal GPV sequence: {{Val list| 9, 25e, 34 }} | |||
Badness: 0.031888 | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 49/48, 56/55, 76/75, 91/90, 154/153, 190/187 | |||
Mapping: [{{val| 1 6 1 5 7 9 1 6 }}, {{val| 0 -10 3 -5 -8 -12 7 -4 }}] | |||
POTE generator: ~15/11 = 529.736 | |||
Optimal GPV sequence: {{Val list| 9, 25e, 34 }} | |||
Badness: 0.026981 | |||
== Hemiripple == | == Hemiripple == | ||
Revision as of 14:22, 21 January 2022
This clan tempers out the slendro diesis, 49/48, a triprime comma with factors of 2, 3 and 7.
Discussed elsewhere are baba, decimal, beep, blacksmith, godzilla, keemun, triforce, superpelog, negri, nautilus, spell and immunity.
Semaphore
Subgroup: 2.3.7
Comma list: 49/48
Sval Mapping: [⟨1 0 2], ⟨0 2 1]]
Sval mapping generators: ~2, ~7/4
Gencom mapping: [⟨1 2 0 3], ⟨0 -2 0 -1]]
Gencom: [2 7/6; 49/48]
POTE generator: ~7/6 = 250.385
Scales: semaphore5, semaphore9, semaphore14
Nuke
Subgroup: 2.3.5.7
Comma list: 49/48, 3584/3375
Mapping: [⟨1 2 2 3], ⟨0 -6 5 -3]]
POTE generator: ~16/15 = 80.9538
Badness: 0.129339
11-limit
Subgroup: 2.3.5.7.11
Comma list: 49/48, 77/75, 512/495
Mapping: [⟨1 2 2 3 3], ⟨0 -6 5 -3 7]]
POTE generator: ~16/15 = 80.8171
Optimal GPV sequence: Template:Val list
Badness: 0.069398
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 66/65, 77/75, 448/429
Mapping: [⟨1 2 2 3 3 4], ⟨0 -6 5 -3 7 -4]]
POTE generator: ~16/15 = 81.0243
Optimal GPV sequence: Template:Val list
Badness: 0.048553
Mabila
Subgroup: 2.3.5.7
Comma list: 49/48, 28672/28125
Mapping: [⟨1 6 1 5], ⟨0 -10 3 -5]]
Wedgie: ⟨⟨ 10 -3 5 -28 -20 20 ]]
POTE generator: ~75/56 = 529.667
Badness: 0.133638
11-limit
Subgroup: 2.3.5.7.11
Comma list: 49/48, 56/55, 1350/1331
Mapping: [⟨1 6 1 5 7], ⟨0 -10 3 -5 -8]]
POTE generator: ~15/11 = 529.729
Optimal GPV sequence: Template:Val list
Badness: 0.061501
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 56/55, 91/90, 847/845
Mapping: [⟨1 6 1 5 7 9], ⟨0 -10 3 -5 -8 -12]]
POTE generator: ~15/11 = 529.763
Optimal GPV sequence: Template:Val list
Badness: 0.037270
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 49/48, 56/55, 91/90, 154/153, 375/374
Mapping: [⟨1 6 1 5 7 9 1], ⟨0 -10 3 -5 -8 -12 7]]
POTE generator: ~15/11 = 529.695
Optimal GPV sequence: Template:Val list
Badness: 0.031888
19-limit
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 49/48, 56/55, 76/75, 91/90, 154/153, 190/187
Mapping: [⟨1 6 1 5 7 9 1 6], ⟨0 -10 3 -5 -8 -12 7 -4]]
POTE generator: ~15/11 = 529.736
Optimal GPV sequence: Template:Val list
Badness: 0.026981
Hemiripple
Subgroup: 2.3.5.7
Comma list: 49/48, 6561/6250
Mapping: [⟨1 2 3 3], ⟨0 -10 -16 -5]]
Wedgie: ⟨⟨ 10 16 5 2 -20 -33 ]]
POTE generator: ~36/35 = 50.826
Badness: 0.175113
11-limit
Subgroup: 2.3.5.7.11
Comma list: 49/48, 121/120, 567/550
Mapping: [⟨1 2 3 3 4], ⟨0 -10 -16 -5 -13]]
POTE generator: ~36/35 = 50.826
Optimal GPV sequence: Template:Val list
Badness: 0.066834
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 66/65, 121/120, 351/350
Mapping: [⟨1 2 3 3 4 4], ⟨0 -10 -16 -5 -13 -7]]
POTE generator: ~36/35 = 50.635
Optimal GPV sequence: Template:Val list
Badness: 0.046588