Vavoom family
The vavoom family includes temperaments that temper out the vavoom comma, [-68 18 17⟩.
Vavoom
Subgroup: 2.3.5
Comma list: [-68 18 17⟩
Mapping: [⟨1 0 4], ⟨0 17 -18]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8765
Optimal ET sequence: 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684
Badness: 0.098376
Raccoon
Subgroup: 2.3.5.7
Comma list: 225/224, 41943040/40353607
Mapping: [⟨1 0 4 3], ⟨0 17 -18 -2]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8960
Optimal ET sequence: 32, 43, 75, 118d
Badness: 0.272586
11-limit
Subgroup: 2.3.5.7.11
Comma list: 225/224, 1344/1331, 2420/2401
Mapping: [⟨1 0 4 3 3], ⟨0 17 -18 -2 5]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8892
Optimal ET sequence: 32, 43, 75e
Badness: 0.095405
Doubloon
Subgroup: 2.3.5.7
Comma list: 3136/3125, 33756345/33554432
Mapping: [⟨1 0 4 7], ⟨0 17 -18 -45]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8391
Optimal ET sequence: 43, 75d, 118, 279, 397d
Badness: 0.173974
11-limit
Subgroup: 2.3.5.7.11
Comma list: 441/440, 3136/3125, 35937/35840
Mapping: [⟨1 0 4 7 7], ⟨0 17 -18 -45 -38]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8368
Optimal ET sequence: 43, 75d, 118, 279, 397d
Badness: 0.049755
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 441/440, 1001/1000, 1188/1183, 3136/3125
Mapping: [⟨1 0 4 7 7 1], ⟨0 17 -18 -45 -38 29]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8193
Optimal ET sequence: 43, 75d, 118, 161, 279f
Badness: 0.042899
Kaboom
Subgroup: 2.3.5.7
Comma list: 65625/65536, 4802000/4782969
Mapping: [⟨1 0 4 -4], ⟨0 17 -18 73]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8950
Optimal ET sequence: 75, 118, 193, 311
Badness: 0.124539
11-limit
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 12005/11979, 19712/19683
Mapping: [⟨1 0 4 -4 -4], ⟨0 17 -18 73 80]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8930
Optimal ET sequence: 75e, 118, 193, 311
Badness: 0.038829
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 625/624, 1575/1573, 4096/4095, 4459/4455
Mapping: [⟨1 0 4 -4 -4 12], ⟨0 17 -18 73 80 -89]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8979
Optimal ET sequence: 118, 193, 311
Badness: 0.036509
Vacuum
Subgroup: 2.3.5.7
Comma list: 4375/4374, [-68 18 17⟩
Mapping: [⟨1 0 4 -15], ⟨0 17 -18 191]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8782
Optimal ET sequence: 118, 429d, 547, 665, 783, 1448, 2231, 3679
Badness: 0.092961
Vortex
Subgroup: 2.3.5.7.11
Comma list: 4375/4374, 42592/42525, 805255/802816
Mapping: [⟨1 0 4 -15 -4], ⟨0 17 -18 191 80]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8786
Optimal ET sequence: 118, 429d, 547, 665e
Badness: 0.108400
Void
Subgroup: 2.3.5.7.11
Comma list: 4375/4374, 496125/495616, 806736/805255
Mapping: [⟨1 0 4 -15 -15], ⟨0 17 -18 191 198]]
- Mapping generators: ~2, ~16/15
Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8770
Optimal ET sequence: 118, …, 665, 783
Badness: 0.082642