User:Eliora/Proposed concept names
Tritonopod
1 generator is equal to 50/49, 17 generators are equal to 7/5, 18 generators are equal to 10/7. Named because these steps oppose the tonic and look like legs on a circular diagram, thus meaning that the spoke shape created by periods has "tritone legs". Defined as the 140 & 525 temperament.
Subgroup: 2.3.5.7
Comma list: 703125/702464, 68719476736/68641485507
Mapping generators: ~50/49, ~262144/151263
Vals: 140, 525, 665
11-limit
Subgroup: 2.3.5.7.11
Comma list: 160083/160000, 180224/180075, 703125/702464
Mapping generators: ~50/49, ~400/231
Vals: ...
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 1716/1715, 4096/4095, 81675/81536, 40656/40625
Mapping generators: ~50/49, ~400/231
Vals: ...
Chromium
Defined as the 72 & 624 temperament, and named after 24th element for being period 24.
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 1716/1715, 2080/2079, 34398/34375, 39366/39325
Mapping generators: ~250/243, ~10/7
Vals: 72, 552, 624, ...
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 936/935, 1716/1715, 2080/2079, 2500/2499, 11016/11011
Mapping generators: ~35/34, ~10/7
Vals: 72, 552, 624, ...
Soviet Ferris wheel
Defined as the 320 & 460 temperament, and named because it's a period-20 temperament, and there are 20 cabins on a standard ferris wheel found throughout most of Eastern Europe and Central Asia (as in abandoned Pripyat wheel, for example).
17-limit
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 833/832, 1001/1000, 1225/1224, 4225/4224, 4459/4455
Mapping generators: ~88/85, ~238/165
Optimal tuning (CTE): ~238/165 = 633.913
Vals: 140, 320, 460
19-limit
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 833/832, 1001/1000, 1225/1224, 1729/1728, 2926/2925, 4459/4455
Mapping generators: ~88/85, ~238/165
Optimal tuning (CTE): ~238/165 = 633.913
Vals: 140, 320, 460
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