User:Eliora/Proposed concept names: Difference between revisions

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


Mapping: 1 -63 -39 -62 68, 0 1452 929 1457 -1451
Mapping: to be filled in


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


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

Revision as of 19:57, 22 September 2022

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