Semaphoresmic clan: Difference between revisions
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POTE generator: ~16/15 = 80.8171 | POTE generator: ~16/15 = 80.8171 | ||
Optimal GPV sequence: {{Val list| 14e, 15 }} | |||
Badness: 0.069398 | Badness: 0.069398 | ||
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POTE generator: ~16/15 = 81.0243 | POTE generator: ~16/15 = 81.0243 | ||
Optimal GPV sequence: {{Val list| 14e, 15, 44cdeff }} | |||
Badness: 0.048553 | Badness: 0.048553 | ||
== Mabila == | |||
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Mabila]].'' | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 49/48, 28672/28125 | |||
[[Mapping]]: [{{val| 1 6 1 5 }}, {{val| 0 -10 3 -5 }}] | |||
{{Multival|legend=1| 10 -3 5 -28 -20 20 }} | |||
[[POTE generator]]: ~75/56 = 529.667 | |||
{{Val list|legend=1| 9, 25, 34 }} | |||
[[Badness]]: 0.133638 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 49/48, 56/55, 1350/1331 | |||
Mapping: [{{val| 1 6 1 5 7 }}, {{val| 0 -10 3 -5 -8 }}] | |||
POTE generator: ~15/11 = 529.729 | |||
Optimal GPV sequence: {{Val list| 9, 25e, 34 }} | |||
Badness: 0.061501 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 49/48, 56/55, 91/90, 847/845 | |||
Mapping: [{{val| 1 6 1 5 7 9 }}, {{val| 0 -10 3 -5 -8 -12 }}] | |||
POTE generator: ~15/11 = 529.763 | |||
Optimal GPV sequence: {{Val list| 9, 25e, 34 }} | |||
Badness: 0.037270 | |||
== Hemiripple == | == Hemiripple == | ||
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POTE generator: ~36/35 = 50.826 | POTE generator: ~36/35 = 50.826 | ||
Optimal GPV sequence: {{Val list| 23de, 24, 47de, 71bdde }} | |||
Badness: 0.066834 | Badness: 0.066834 | ||
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POTE generator: ~36/35 = 50.635 | POTE generator: ~36/35 = 50.635 | ||
Optimal GPV sequence: {{Val list| 23de, 24, 47de, 71bdde }} | |||
Badness: 0.046588 | Badness: 0.046588 | ||
Revision as of 13:23, 20 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
- For the 5-limit version of this temperament, see High badness temperaments #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
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