Semaphoresmic clan: Difference between revisions
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This clan tempers out the slendro diesis, [[49/48]], a triprime comma with factors of 2, 3 and 7. | This clan tempers out the slendro diesis, [[49/48]], a triprime comma with factors of 2, 3 and 7. | ||
Discussed elsewhere are [[Father family #Baba|baba]], [[Dicot family #Decimal|decimal]], [[Bug family #Beep|beep]], [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Godzilla|godzilla]], [[Augmented family #Triforce|triforce]], [[Pelogic family #Superpelog|superpelog]], [[Marvel temperaments #Negri|negri]], [[Porcupine family #Nautilus|nautilus]], [[ | Discussed elsewhere are [[Father family #Baba|baba]], [[Dicot family #Decimal|decimal]], [[Bug family #Beep|beep]], [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Godzilla|godzilla]], [[Kleismic family #Keemun|keemun]], [[Augmented family #Triforce|triforce]], [[Pelogic family #Superpelog|superpelog]], [[Marvel temperaments #Negri|negri]], [[Porcupine family #Nautilus|nautilus]], [[Magic family #Spell|spell]] and [[Immunity family #Immunity|immunity]]. | ||
= Semaphore = | = Semaphore = | ||
Revision as of 14:30, 17 April 2021
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: 0.1293
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
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