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 1259e & 3125 temperament, but in terms of patent vals it can also be described as 3125 & 4991 or 3125 & 1866.

Subgroup: 2.3.5.7.11

Comma list: [24, -6, 0, 1, -5⟩, [-1, 4, 11, -11, 0⟩, [-19 -25 14  13 -3⟩

Mapping: to be filled in

Optimal tuning (CTE): ~64/33 = 1146.624

Vals: 1259e, 1866, 3125, 4384e, 4991, 6250e, 8116d, 7509ee, 9375e, 11241de

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 1990656/1990625, 14236560/14235529, 117440512/117406179, 1181640625/1181599328

Mapping: to be filled in

Optimal tuning (CTE): ~64/33 = 1146.624

Tritonopod

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.

Nicodar

Called so because it is produced by adding nicola (1575/1573) to the vidar comma basis, thus creating a rank two temperament.

Subgroup: 2.3.5.7.11.13

Comma list: 4225/4224, 4375/4374, 6656/6655, 1575/1573

Mapping:

Generator: 81/65.