User:Eliora/Proposed concept names: Difference between revisions
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== Ravine == | |||
== | |||
Defined as the 832 & 1619 temperament. | Defined as the 832 & 1619 temperament. | ||
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Mapping: | Mapping: | ||
Optimal tuning (CTE): ~33/32 | |||
=== 13-limit === | === 13-limit === | ||
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Comma list: 196625/196608, 200000/199927, 2912000/2910897, 3764768/3764475 | Comma list: 196625/196608, 200000/199927, 2912000/2910897, 3764768/3764475 | ||
Optimal tuning (CTE): ~33/32 | |||
== Surmarvelpyth == | == Surmarvelpyth == | ||
Revision as of 20:46, 13 September 2022
Ravine
Defined as the 832 & 1619 temperament.
11-limit
Subgroup: 2.3.5.7.11
Comma list: 514714375/514434888, 117440512/117406179, 1220703125/1219784832
Mapping:
Optimal tuning (CTE): ~33/32
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 196625/196608, 200000/199927, 2912000/2910897, 3764768/3764475
Optimal tuning (CTE): ~33/32
Surmarvelpyth
Named because the generator fifth is 225/224 sharp of 3/2. Defined as the 311 & 742 temperament to the 19-limit.
19-limit
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 2926/2925, 4096/4095, 3136/3135, 12376/12375, 5985/5984, 11016/11011
Mapping:
Optimal tuning (CTE): ~675/448 = 709.972
Protactinium
Defined as a 364 & 1547 temperament, has a period of 91, hence named after the 91st element.
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 4096/4095, 91125/91091, 2912000/2910897, 369754/369603
Mapping: 91 91 371 149 581 390, 0 1 -3 -2 -5 -1
Mapping generators: ~1728/1715, ~3/2
Optimal tuning (CTE): ~3/2 = 702.020c
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 4096/4095, 14400/14399, 42500/42471, 75735/75712, 2100875/2100384
Mapping: 91 91 371 149 581 390 159, 0 1 -3 -2 -5 -1 4
Mapping generators: ~3773/3744, ~3/2
Optimal tuning (CTE): ~3/2 = 702.027c