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| == Berkelium ==
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| 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.
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| Subgroup: 2.3.5.13.17.23.29.31
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| Comma list: 10881/10880, 13312/13311, 86411/86400, 96876/96875, 4784000/4782969, 223171875/223135744
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| Sval mapping: [{{val|97 97 55 -95 283 609 301 821}}, {{val|0 1 3 8 2 -3 3 -6}}]
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| Sval mapping generators: ~6075/6032, ~3/2
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| Optimal tuning (CTE): ~3/2 = 701.9...
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| Vals: 388, 2619, 3395...
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| === Berkelium-248 ===
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| The temperament with higher TE error of the two branchings, therefore named after the second most stable berkelium isotope.
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| Subgroup: 2.3.5.7
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| Comma list: 4375/4374, {{monzo|-266 81 23 30}}
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| Mapping: [{{val|97 97 55 556}}, {{val|0 1 3 -5}}]
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| Mapping generators: ~{{monzo|82 -27 -6 -9}} = 1\97, ~3/2 = 701.929
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| Optimal tuning (CTE): ~3/2 = 701.929
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| ==== 11-limit ====
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| Subgroup: 2.3.5.7.11
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| Comma list: 4375/4374, 8595365625/8589934592, 68641485507/68594841920
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| Mapping: [{{val|97 97 55 556 676}}, {{val|0 1 3 -5 -6}}]
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| Mapping generators: ~1617165/1605632 = 1\97, ~3/2 = 701.928
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| Optimal tuning (CTE): ~3/2 = 701.928
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| ==== 13-limit ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 4375/4374, 405769/405504, 1063348/1063125, 25694955/25690112
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| Mapping: [{{val|97 97 55 556 676 -95}}, {{val|0 1 3 -5 -6 8}}]
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| Mapping generators: ~144/143, ~3/2
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| Optimal tuning (CTE): ~3/2 = 701.945
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| Vals: {{EDOs|388, 2619}}, ...
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| === Berkelium-247 ===
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| The temperament with lower TE error of the two branchings, therefore named after the most stable berkelium isotope.
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| Subgroup: 2.3.5.7
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| Comma list: 12824703626379264/12822723388671875, {{monzo|56 -57 16 -1}}
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| Mapping: [{{val|97 97 55 783}}, {{val|0 1 3 -9}}]
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| Mapping generators: ~13839047287569/13743895347200 = 1\97, ~3/2 = 701.973
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| Optimal tuning (CTE):~ 3/2 = 701.973
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| ==== 11-limit ====
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| Subgroup: 2.3.5.7.11
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| Comma list: 21437500/21434787, 44660948992/44659644435, 1573159698432/1572763671875
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| Mapping: [{{val|97 97 55 783 903}}, {{val|0 1 3 -9 -10}}]
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| Mapping generators: ~4125/4096 = 1\97, ~3/2 = 701.976
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| Optimal tuning (CTE):~ 3/2 = 701.976
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| ==== 13-limit ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 1990656/1990625, 1146880/1146717, 492128/492075, 2662250409/2662000000
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| Mapping: [{{val|97 97 55 783 903 -95}}, {{val|0 1 3 -9 -10 8}}]
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| Mapping generators: ~16038/15925, ~3/2
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| Optimal tuning (CTE): ~3/2 = 701.976
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| ==== 17-limit ====
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 12376/12375, 37180/37179, 1990656/1990625, 1146880/1146717, 263299491/263296000
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| Mapping: [{{val|97 97 55 783 903 -95 283}}, {{val|0 1 3 -9 -10 8 2}}]
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| Mapping generators: ~1547/1536, ~3/2
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| Optimal tuning (CTE): ~3/2 = 701.976
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| ==== 19-limit ====
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| Subgroup: 2.3.5.7.11.13.17.19
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| Comma list: 12376/12375, 13377/13376, 14080/14079, 27456/27455, 37180/37179, 165376/165375, 722007/722000
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| Mapping: [{{val|97 97 55 783 903 -95 283 89 1642}}, {{val|0 1 3 -9 -10 8 2}}]
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| Mapping generators: ~? = 1\97, ~3/2 = 701.976
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| Optimal tuning (CTE): ~3/2 = 701.976
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| == Point Zero Seven == | | == Point Zero Seven == |
Point Zero Seven
A meantone version of sextilififths that's quite bad at JI. Named because the generator is 7\100, and since the name sounds like an alcohol percentage, it corresponds to the "drunken and imprecise feel" of the badness of JI of the scale.
Subgroup: 2.3.5.7
Comma list: 81/80, 121500/117649
Mapping: [1 2 4 4], [0 -6 -24 -17]
Optimal tuning (CTE): ~21/20 = 83.888
Vals: 14, 43, 100
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
Period-35, 17 generators are equal to 7/5, 18 generators are equal to 10/7.
Possibly rank-3?
Playing cards
Work in progress
Titanium II
https://sintel.pythonanywhere.com/result?subgroup=13&reduce=on&tenney=on&target=&edos=198+%26+1012&submit_edo=submit&commas=
198 & 1012 temperament.
Thulium
Period-69 temperament conceptualized as having a period of 100/99 and a generator of 3/2. Conceptualized as the 759(some kind of val) & 7797 temperament