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| == Surmarvelpyth ==
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| Named because the generator fifth is 225/224 sharp of 3/2. Defined as the 311 & 742 temperament to the 19-limit.
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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: 2926/2925, 4096/4095, 3136/3135, 12376/12375, 5985/5984, 11016/11011
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| Mapping:
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| Optimal tuning (CTE): ~675/448 = 709.972
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| == Syntose == | | == Syntose == |
| As opposed to barium, this one does not have a stack of syntonic commas close at the octave. Defined as 56 & 279 using maximal evenness method and continued fraction search. | | As opposed to barium, this one does not have a stack of syntonic commas close at the octave. Defined as 56 & 279 using maximal evenness method and continued fraction search. |
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| == Protactinium == | | == Prequartismic == |
| Defined as a 364 & 1547 temperament, has a period of 91, hence named after the 91st element.
| | Named because 3125edo was the only one confirmed for tempering out the quartisma before it's discovery as significance of the difference between 5 33/32s and 7/6. Defined as the 1259 & 3125 temperament. |
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 4096/4095, 91125/91091, 2912000/2910897, 369754/369603
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| Mapping: 91 91 371 149 581 390, 0 1 -3 -2 -5 -1
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| Mapping generators: ~1728/1715, ~3/2
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| Optimal tuning (CTE): ~3/2 = 702.020c
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 4096/4095, 14400/14399, 42500/42471, 75735/75712, 2100875/2100384
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| Mapping: 91 91 371 149 581 390 159, 0 1 -3 -2 -5 -1 4
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| Mapping generators: ~3773/3744, ~3/2
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| Optimal tuning (CTE): ~3/2 = 702.027c
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| == Oganesson ==
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| Reserved for a temp with period 118 and a 13/8 as the generator
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