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

Main article: Semaphore and Godzilla

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: 0.1293

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

Badness: 0.0694

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 = 81.024

Badness: 0.0486

Hemiripple

See also: Ripple family § 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: 0.1751

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

Badness: 0.0668

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

Badness: 0.0466