User:Eliora/Proposed concept names: Difference between revisions

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== Berkelium ==
== Berkelium ==
A remarkable high-limit subgroup temperament with equally remarkable full 31-limit branchings.
A remarkable high-limit subgroup temperament with equally remarkable full 31-limit branchings. Since it was conceived in this specific subgroup, it makes no sense to name it for smaller subgroups.


Subgroup: 2.3.5.13.17.23.29.31
Subgroup: 2.3.5.13.17.23.29.31
Line 14: Line 14:
Vals: 388, 2619, 3395...
Vals: 388, 2619, 3395...


=== Variety 1: 388 & 2619 ===
=== Berkelium-248 ===
The temperament with higher TE error of the two branchings, therefore named after the second most stable berkelium isotope.
 
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 25: Line 27:
EDOs: 388, 2619, ...
EDOs: 388, 2619, ...


=== Variety 2: 388 & 3395 ===
=== Berkelium-247 ===
The temperament with lower TE error of the two branchings, therefore named after the most stable berkelium isotope.
==== 7-limit ====
Subgroup: 2.3.5.7
 
Comma list: 12824703626379264/12822723388671875,
 
Mapping: [{{val|97 97 55 783}}, {{val|0 1 3 -9}}]
 
Mapping generators: ~13839047287569/13743895347200 = 1\97, ~3/2 = 701.973
 
Optimal tuning (CTE):~ 3/2 = 701.973
==== 11-limit ====
Subgroup: 2.3.5.7.11
 
Comma list: 21437500/21434787, 44660948992/44659644435, 1573159698432/1572763671875
 
Mapping: [{{val|97 97 55 783 903}}, {{val|0 1 3 -9 -10}}]
 
Mapping generators: ~4125/4096 = 1\97, ~3/2 = 701.976
 
Optimal tuning (CTE):~ 3/2 = 701.976
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 1990656/1990625, 1146880/1146717, 492128/492075, 2662250409/2662000000
Comma list: 1990656/1990625, 1146880/1146717, 492128/492075, 2662250409/2662000000
Mapping: [{{val|97 97 55 783 903 -95}}, {{val|0 1 3 -9 -10 8}}]


Mapping generators: ~16038/15925, ~3/2
Mapping generators: ~16038/15925, ~3/2


Optimal tuning (CTE): ~3/2 = 701.9...
Optimal tuning (CTE): ~3/2 = 701.976


EDOs: 388, 3395, ...
EDOs: 388, 3395, ...