Semaphoresmic clan
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, triforce, superpelog, negri, nautilus, keemun, and immunity.
Semaphore
Period: 1\1
Optimal (POTE) generator: ~7/6 = 250.385
EDO generators: 3\14, 4\19, 5\24, 6\29
Scales (Scala files): semaphore5, semaphore9, semaphore14
Subgroup: 2.3.7
Comma list: 49/48
Mapping: [⟨1 0 2], ⟨0 2 1]]
Mapping generators: ~2, ~7/4
Gencom mapping: [⟨1 2 0 3], ⟨0 -2 0 -1]]
Gencom: [2 7/6; 49/48]
Nuke
Period: 1\1
Optimal (POTE) generator: ~16/15 = 80.9538
Scales (Scala files):
Subgroup: 2.3.5.7
Comma list: 49/48, 3584/3375
Mapping: [⟨1 2 2 3], ⟨0 -6 5 -3]]
Badness: 0.1293
11-limit
Period: 1\1
Optimal (POTE) generator: ~16/15 = 80.8171
Scales (Scala files):
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]]
Badness: 0.0694
13-limit
Period: 1\1
Optimal (POTE) generator: ~16/15 = 81.024
Scales (Scala files):
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]]
Badness: 0.0486
Hemiripple
Period: 1\1
Optimal (POTE) generator: ~36/35 = 50.826
Scales (Scala files):
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]]
Badness: 0.1751
11-limit
Period: 1\1
Optimal (POTE) generator: ~36/35 = 50.826
Scales (Scala files):
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]]
Badness: 0.0668
13-limit
Period: 1\1
Optimal (POTE) generator: ~36/35 = 50.635
Scales (Scala files):
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]]
Badness: 0.0466