Septiennealimmal clan

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
• 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

See also: Subgroup temperaments § No-fives subgroup

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

Schisennealimmal

Schisennealimmal (171&342, named by Xenllium) 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