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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 == |