User:Eliora/Proposed concept names: Difference between revisions
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== Leaves == | == Leaves == | ||
Defined as the 323 & 2023 temperament | Defined as the 323 & 2023 temperament in the 17-limit. Originally intended to be no-11, Eliora later included the 11th harmonic. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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Vals: 323, 1700, 2023 | Vals: 323, 1700, 2023 | ||
=== | === 13-limit === | ||
10 generators map to 13/11. | |||
Subgroup: 2.3.5.7.13 | Subgroup: 2.3.5.7.13 | ||
Comma list: 1990656/1990625, 3502727631/3500000000, 134521003125/134296804096 | Comma list: 1990656/1990625, 3502727631/3500000000, 134521003125/134296804096 | ||
Sval mapping: | Sval mapping: 17 10 31 9 106 98, 0 14 7 32 -39 -29 | ||
Sval maping generators: ~25/24, ~1024/975 | Sval maping generators: ~25/24, ~1024/975 | ||
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Optimal tuning (CTE): ~1024/975 = ... | Optimal tuning (CTE): ~1024/975 = ... | ||
=== | === 17-limit === | ||
2 generators correspond to 17/13. | |||
Subgroup: | Subgroup: | ||
Comma list: | Comma list: | ||
Sval mapping: 17 10 31 9 98 107, 0 14 7 32 -29 -31 | Sval mapping: 17 10 31 9 106 98 107, 0 14 7 32 -39 -29 -31 | ||
Sval mapping generators: ~25/24, ~765/728 | Sval mapping generators: ~25/24, ~765/728 | ||
Optimal tuning (CTE): ~765/728 = 85.424 | Optimal tuning (CTE): ~765/728 = 85.424 | ||
== Lamina == | |||
Leaves temperament in the 51L 1s 1|1 scale has a meantone fifth which is flat of 17edo fifth by a leaves' reduced generator. Lamina takes the said fifth and uses it as a generator. Name comes from the flat surface that makes up the texture of a leaf. Defined as 33 & 323 in the 17-limit, and with step size difference of around JND it can be treated as a barely noticeable well temperament for [[33edo]]. | |||
The fifth reaches 13/11 in 10 steps, just as generator of lamina does. In addition, 21/16 is reached in 8 steps, 7/5 is reached in 13 steps, 16/15 is reached in 21 steps. | |||
=== Grand lamina === | |||
Grand lamina is defined as 257 & 2023, and it is a metatemperament for lamina, with both having the same relationships in the 33-note MOS. | |||
== Tritonopod == | == Tritonopod == | ||