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, ...

Ruthenium

Named after the 44th element, and is defined by closing a circle of 44 64/63s at the octave as 1848 & 2684.

Subgroup: 2.3.5.7

Comma list: -8  23 -5  -6, 51 -13 -1 -10

Mapping generators: ~64/63, ~3/2

Mapping: 44 44 -78 175, 0 1 7 2

Vals: 1848, 2684, ...

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