Septiennealimmal clan: Difference between revisions
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== Undecentic == | == Undecentic == | ||
Undecentic (99&198 | Undecentic (99&198) has a period of 1/99 octave. | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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== Schisennealimmal == | == Schisennealimmal == | ||
Schisennealimmal (171&342 | Schisennealimmal (171&342) has a period of 1/171 octave. [[171edo|171EDO]] and its multiple are members of both [[Schismatic family|schismic]] and [[Ragismic microtemperaments #Ennealimmal|ennealimmal]], and from this it derives its name. | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Revision as of 09:05, 21 June 2021
The tritrizo clan of temperaments tempers out the tritrizo comma (no-five ennealimma), [-11 -9 0 9⟩ = 40353607/40310784, and includes these:
- Niner → Augmented family #Niner
- Enneaportent → Marvel temperaments #Enneaportent
- Novemkleismic → Kleismic family #Novemkleismic
- Decades → Compton family #Decades
- Ennealimmal, also in: Ragismic microtemperaments #Ennealimmal
No-five tritrizo
Subgroup: 2.3.7
Comma list: 40353607/40310784
Sval mapping: [⟨9 0 11], ⟨0 1 1]]
POTE generator: ~3/2 = 701.965
Ennea
Subgroup: 2.3.7.11
Comma list: 41503/41472, 43923/43904
Sval mapping: [⟨9 0 11 24], ⟨0 2 2 1]]
POTE generator: ~99/98 = 17.626
Undecentic
Undecentic (99&198) has a period of 1/99 octave.
Subgroup: 2.3.5.7.11
Comma list: 2401/2400, 3136/3125, 4375/4374
Mapping: [⟨99 157 230 278 0], ⟨0 0 0 0 1]]
POTE generator: ~11/8 = 552.756
Badness: 0.058801
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 352/351, 847/845, 2401/2400, 3136/3125
Mapping: [⟨99 157 230 278 0 24], ⟨0 0 0 0 1 1]]
POTE generator: ~11/8 = 552.024
Vals: Template:Val list
Badness: 0.042547
Schisennealimmal
Schisennealimmal (171&342) has a period of 1/171 octave. 171EDO and its multiple are members of both schismic and ennealimmal, and from this it derives its name.
Subgroup: 2.3.5.7.11
Comma list: 2401/2400, 4375/4374, 32805/32768
Mapping: [⟨171 271 397 480 0], ⟨0 0 0 0 1]]
POTE generator: ~11/8 = 550.954
Badness: 0.031739
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 625/624, 729/728, 2205/2197, 2401/2400
Mapping: [⟨171 271 397 480 0 633], ⟨0 0 0 0 1 0]]
POTE generator: ~11/8 = 551.322
Vals: Template:Val list
Badness: 0.054029
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 625/624, 729/728, 833/832, 1225/1224, 2205/2197
Mapping: [⟨171 271 397 480 0 633 699], ⟨0 0 0 0 1 0 0]]
POTE generator: ~11/8 = 551.365
Vals: Template:Val list
Badness: 0.031323
Schisennealimmic
Subgroup: 2.3.5.7.11.13
Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768
Mapping: [⟨171 271 397 480 0 41], ⟨0 0 0 0 1 1]]
POTE generator: ~11/8 = 551.625
Vals: Template:Val list
Badness: 0.046843
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 936/935, 1225/1224, 1701/1700, 2025/2023, 11271/11264
Mapping: [⟨171 271 397 480 0 41 699], ⟨0 0 0 0 1 1 0]]
POTE generator: ~11/8 = 551.756
Vals: Template:Val list
Badness: 0.030622