User:Eliora/Proposed concept names: Difference between revisions
No edit summary |
No edit summary |
||
| Line 8: | Line 8: | ||
Rank 2: 1261 & 1789 (2.5.7.11.13), 1236 & 764, 1236 & 1084, 1236 & 441, 764 & 1084, 1236 & 87 | Rank 2: 1261 & 1789 (2.5.7.11.13), 1236 & 764, 1236 & 1084, 1236 & 441, 764 & 1084, 1236 & 87 | ||
== | == Thulium == | ||
Period-69 temperament conceptualized as having a period of 100/99 and a generator of 3/2. Conceptualized as the 759(some kind of val) & 7797 temperament. | |||
== Nuclear matter == | == Nuclear matter == | ||
| Line 54: | Line 22: | ||
Vals: 22, 69 | Vals: 22, 69 | ||
== Berkelium == | == Berkelium (two varieties) == | ||
A remarkable high-limit temperament, extended as high as the 29-limit owing to the fact that both 388edo and 2619edo are consistent that high. Named after the 97th element. | A remarkable high-limit temperament, extended as high as the 29-limit owing to the fact that both 388edo and 2619edo are consistent that high. Named after the 97th element. | ||
=== Variety 1: 388 & 2619 === | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 66: | Line 35: | ||
EDOs: 388, 2619, ... | EDOs: 388, 2619, ... | ||
=== Variety 2: 388 & 3395 === | |||
... | |||
== Point Zero Seven == | == Point Zero Seven == | ||
| Line 79: | Line 51: | ||
Vals: 14, 43, 100 | Vals: 14, 43, 100 | ||
== Leaves == | == Leaves == | ||
Revision as of 18:27, 18 December 2022
Pseudovishnuzma
Comma: 6106906624/6103515625
Name reasoning: The denominator is the same as for vishnuzma, numerator is close, yet it's different.
Temperaments:
Rank 2: 1261 & 1789 (2.5.7.11.13), 1236 & 764, 1236 & 1084, 1236 & 441, 764 & 1084, 1236 & 87
Thulium
Period-69 temperament conceptualized as having a period of 100/99 and a generator of 3/2. Conceptualized as the 759(some kind of val) & 7797 temperament.
Nuclear matter
Defined as the 22 & 69 temperament, and the comma in the 5-limit is [-41, 1, 17⟩. The name comes from the fact that nuclear matter density is 4.1 * 10^17 kg/m^3.
Subgroup: 2.3.5
Comma list: [-41, 1, 17⟩
Optimal tuning (CTE): ~5/4
Vals: 22, 69
Berkelium (two varieties)
A remarkable high-limit temperament, extended as high as the 29-limit owing to the fact that both 388edo and 2619edo are consistent that high. Named after the 97th element.
Variety 1: 388 & 2619
Subgroup: 2.3.5.7.11.13
Comma list: 4375/4374, 405769/405504, 1063348/1063125, ...
Mapping generators: ~144/143, ~3/2
Optimal tuning (CTE): ~3/2 = 701.945
EDOs: 388, 2619, ...
Variety 2: 388 & 3395
...
Point Zero Seven
A meantone version of sextilififths that's quite bad at JI. Named because the generator is 7\100, and since the name sounds like an alcohol percentage, it corresponds to the "drunken and imprecise feel" of the badness of JI of the scale.
Subgroup: 2.3.5.7
Comma list: 81/80, 121500/117649
Mapping: [1 2 4 4], [0 -6 -24 -17]
Optimal tuning (CTE): ~21/20 = 83.888
Vals: 14, 43, 100
Leaves
Defined as the 323 & 2023 temperament, and also as the no-11s temperament, because both 323edo and 2023edo have a bad 11th harmonic.
Subgroup: 2.3.5.7
Comma list: -21 11 10 -7, 31 28 -24 -7
Mapping: 17 10 31 9, 0 14 7 32
Mapping generators: ~25/24, ~6125/5832
Optimal tuning (CTE): ~6125/5832 = 85.427
Vals: 323, 1700, 2023
2.3.5.7.13 subgroup
Subgroup: 2.3.5.7.13
Comma list: 1990656/1990625, 3502727631/3500000000, 134521003125/134296804096
Sval mapping:
Sval maping generators: ~25/24, ~1024/975
Optimal tuning (CTE): ~1024/975 = ...
2.3.5.7.13.17 subgroup
9 periods and 2 generators correspond to 17/13.
Subgroup:
Comma list: 57375/57344, 111537/111475, 4860000/4857223, 340075827/340000000
Sval mapping: 17 10 31 9 98 107, 0 14 7 32 -29 -31
Sval mapping generators: ~25/24, ~765/728
Optimal tuning (CTE): ~765/728 = 85.424
Tritonopod
Period-35, 17 generators are equal to 7/5, 18 generators are equal to 10/7.
Possibly rank-3?
Playing cards
Work in progress