User:Eliora/Proposed concept names

Prequartismic

Named because 3125edo was the only one confirmed for tempering out the quartisma before it's discovery as significance of the difference between 5 33/32s and 7/6. Defined as the 1259 & 3125 temperament.

Mercury

Defined as 720 & 1600, and named after the 80th element.

Subgroup: 2.3.5

Comma list: [-1377 400 320]

Mapping: 80 1 343, 0 4 -5

Mapping generators: -568 165 132, 142 -41 -33

Optimal tuning (CTE): ~142 -41 -33 = 471.738

7-limit

Subgroup: 2.3.5.7

Comma list: 31528360107421875/31525197391593472, 3671492030322070514237964288/3666984506893654025644140625

Mapping: 80 1 343 -27, 0 4 -5 8

Mapping generators: ~31637227888/31381059609, ~7381125/5619712

Optimal tuning (CTE): ~7381125/5619712 = 471.734

11-limit

Subgroup: 2.3.5.7.11

Comma list: 9801/9800, 928760463360/928426965851, 68116944363978752/68116827392578125

Mapping: 80 1 343 -27 434, 0 4 -5 8 5

Mapping generators: ~262144/259875, ~2278125/1734656

Optimal tuning (CTE): ~2278125/1734656 = 471.734

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 9801/9800, 4100625/4100096, 14236560/14235529, 143327232/143286143

Mapping: 80 1 343 -27 434 13, 0 4 -5 8 5 9

Mapping generators: ~77760/77077, ~130/99

Optimal tuning (CTE): ~130/99 = 471.734