Semaphoresmic clan: Difference between revisions
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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]]. | 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 == | ||
{{main| Semaphore and Godzilla }} | {{main| Semaphore and Godzilla }} | ||
| Line 20: | Line 20: | ||
[[POTE generator]]: ~7/6 = 250.385 | [[POTE generator]]: ~7/6 = 250.385 | ||
{{Val list|legend=1| 5, 14, 19, 24, 67dd, 91dd}} | {{Val list|legend=1| 5, 14, 19, 24, 67dd, 91dd }} | ||
Scales: [[semaphore5]], [[semaphore9]], [[semaphore14]] | Scales: [[semaphore5]], [[semaphore9]], [[semaphore14]] | ||
== Nuke | == Nuke == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 36: | Line 35: | ||
{{Val list|legend=1| 14, 15, 44cd }} | {{Val list|legend=1| 14, 15, 44cd }} | ||
[[Badness]]: 0. | [[Badness]]: 0.129339 | ||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 48: | Line 46: | ||
POTE generator: ~16/15 = 80.8171 | POTE generator: ~16/15 = 80.8171 | ||
{{Val list | Vals: {{Val list| 14e, 15 }} | ||
Badness: 0. | Badness: 0.069398 | ||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 60: | Line 57: | ||
Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -6 5 -3 7 -4 }}] | Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -6 5 -3 7 -4 }}] | ||
POTE generator: ~16/15 = 81. | POTE generator: ~16/15 = 81.0243 | ||
{{Val list | Vals: {{Val list| 14e, 15, 44cdeff }} | ||
Badness: 0. | Badness: 0.048553 | ||
== Hemiripple | == Hemiripple == | ||
{{see also| Ripple family #Hemiripple }} | {{see also| Ripple family #Hemiripple }} | ||
| Line 79: | Line 76: | ||
[[POTE generator]]: ~36/35 = 50.826 | [[POTE generator]]: ~36/35 = 50.826 | ||
{{Val list|legend=1| 23d, 24, 47d, | {{Val list|legend=1| 23d, 24, 47d, 71bdd }} | ||
[[Badness]]: 0. | [[Badness]]: 0.175113 | ||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 93: | Line 89: | ||
POTE generator: ~36/35 = 50.826 | POTE generator: ~36/35 = 50.826 | ||
{{Val list | Vals: {{Val list| 23de, 24, 47de, 71bdde }} | ||
Badness: 0.066834 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 107: | Line 102: | ||
POTE generator: ~36/35 = 50.635 | POTE generator: ~36/35 = 50.635 | ||
{{Val list | Vals: {{Val list| 23de, 24, 47de, 71bdde }} | ||
Badness: 0. | Badness: 0.046588 | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
Revision as of 12:09, 8 June 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: 0.129339
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
Vals: 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
Vals: Template:Val list
Badness: 0.048553
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
Vals: 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
Vals: Template:Val list
Badness: 0.046588