User:Eliora/Proposed concept names: Difference between revisions

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== Leaves ==
== Leaves ==
Defined as the 323 & 2023 temperament, and also as the no-11s temperament, because both 323edo and 2023edo have a bad 11th harmonic.
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


=== 2.3.5.7.13 subgroup ===
=== 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 = ...


=== 2.3.5.7.13.17 subgroup ===
=== 17-limit ===
9 periods and 2 generators correspond to 17/13.
2 generators correspond to 17/13.


Subgroup:
Subgroup:


Comma list: 57375/57344, 111537/111475, 4860000/4857223, 340075827/340000000
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 ==