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| Line 8: |
Line 8: |
| Rank 2: 1261 & 1789 (2.5.7.11.13), 1236 & 764, 1236 & 1084, 1236 & 441, 764 & 1084, 1236 & 87 | | Rank 2: 1261 & 1789 (2.5.7.11.13), 1236 & 764, 1236 & 1084, 1236 & 441, 764 & 1084, 1236 & 87 |
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| == Minutes == | | == Thulium == |
| Defined as the 2460 & 4320 temperament, and named "minutes" for period-60, since there's 60 minutes in an hour. In the limits below 13, it's a contorted atomic temperament.
| | 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. |
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 9801/9800, 250047/250000, 371293/371250, 184549376/184528125
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| Mapping: 60 60 385 730 1085 573, 0 1 7 -16 -25 -10
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| Mapping generators: ~2704/2673, ~3/2
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| Optimal tuning (CTE): ~3/2 = 701.948
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 9801/9800, 12376/12375, 28561/28560, 250047/250000, 253755392/253746675
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| Mapping: 60 60 385 730 1085 573 877, 0 1 7 -16 -25 -10 -18
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| Mapping generators: ~3520/3213, ~3/2
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| Optimal tuning (CTE): ~3/2 = 701.948
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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: ''to be filled in''
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| Mapping: ''to be filled in''
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| Mapping generators: ~3520/3213, ~3/2
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| Optimal tuning (CTE): ~3/2 = 701.948
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| == Nuclear matter == | | == Nuclear matter == |
| Line 54: |
Line 22: |
| Vals: 22, 69 | | Vals: 22, 69 |
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| == Berkelium == | | == Berkelium (two varieties) == |
| A remarkable high-limit temperament, extended as high as the 29-limit owing to the fact that both 388edo and 2619edo are consistent that high. Named after the 97th element. | | A remarkable high-limit temperament, extended as high as the 29-limit owing to the fact that both 388edo and 2619edo are consistent that high. Named after the 97th element. |
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| | === Variety 1: 388 & 2619 === |
| Subgroup: 2.3.5.7.11.13 | | Subgroup: 2.3.5.7.11.13 |
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| Line 66: |
Line 35: |
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| EDOs: 388, 2619, ... | | EDOs: 388, 2619, ... |
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| | === Variety 2: 388 & 3395 === |
| | ... |
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| == Point Zero Seven == | | == Point Zero Seven == |
| Line 79: |
Line 51: |
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| Vals: 14, 43, 100 | | Vals: 14, 43, 100 |
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| == Mabon ==
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| Named after the celebration of the autumn equinox, and defined as the 11 & 62 temperament in the 2.9.7, since the 11/62 solar calendar leap rule representes the autumn equinox. Three below 600c generators amount to 16/9.
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| Subgroup: 2.9.7
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| Comma list: 44957696/43046721
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| Sval mapping: [1 1 -3], [0 3 8]
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| Optimal tuning (CTE): ~729/448 = 870.792
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| Vals: 11, 29, 40, 51, 62, ...
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| === 11-limit ===
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| In the 11-limit, the 11th harmonic plus an octave is reached by stacking two 16/11.
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| Subgroup: 2.9.7.11
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| Comma list: 896/891, 1331/1296
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| Sval mapping: [1 1 -3 2], [0 3 8 2]
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| Optimal tuning (CTE): ~18/11
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| == Leaves == | | == Leaves == |