User:Eliora/Proposed concept names
Tritonopod
Period-35, 17 generators are equal to 7/5, 18 generators are equal to 10/7.
Playing cards
It is the 31-limit temperament defined as 2860 & 3224 by tempering out the 2.29.31 [-5 -52 52] comma, which sets a stack of 52 31/29s equal to 5 octaves.
Since it is conceived in the 31-limit, it makes no sense to define it for smaller subgroups.
Subgroup: 2.3.5.7.11.13.17.19.23.29.31
Comma list: ...
Mapping: ...
Optimal tuning (CTE): ~?
Binilnilium
Named after the provisional name for the 200th element, tempers out the 200-comma ([-317 200>) and the ragisma (4375/4374).
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
Named after the 97th element.
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, ...
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 aligns with 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
Mabon
Named after the celebration of the autumn equinox, and defined as the 11 & 62 temperament in the 2.9.7, since the 11/62 solar calendar leap rule representes the autumn equinox. Three below 600c generators amount to 16/9.
Subgroup: 2.9.7
Comma list: 44957696/43046721
Sval mapping: [1 1 -3], [0 3 8]
Optimal tuning (CTE): ~729/448 = 870.792
Vals: 11, 29, 40, 51, 62, ...
11-limit
In the 11-limit, the 11th harmonic plus an octave is reached by stacking two 16/11.
Subgroup: 2.9.7.11
Comma list: 896/891, 1331/1296
Sval mapping: [1 1 -3 2], [0 3 8 2]
Optimal tuning (CTE): ~18/11