Würschmidt family: Difference between revisions
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→Hemiwürschmidt: +quadrawuerschmidt and semihemiwuerschmidt |
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Badness: 0.044886 | Badness: 0.044886 | ||
=== Quadrawürschmidt === | |||
This has been documented in Graham Breed's temperament finder as ''semihemiwürschmidt'', but ''quadrawürschmidt'' arguably makes more sense. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 2401/2400, 3025/3024, 3136/3125 | |||
Mapping: [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}] | |||
Mapping generators: ~2, ~147/110 | |||
POTE generator: ~147/110 = 503.0404 | |||
Vals: {{Val list| 31, 105be, 136e, 167, 198, 427c }} | |||
Badness: 0.0348 | |||
=== Semihemiwürschmidt === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 2401/2400, 3136/3125, 9801/9800 | |||
Mapping: [{{val| 2 14 6 9 -10 }}, {{val| 0 -16 -2 -5 25 }}] | |||
Mapping generators: ~99/70, ~495/392 | |||
POTE generator: ~28/25 = 193.9021 | |||
Vals: {{Val list| 62e, 68, 130, 198, 328 }} | |||
Badness: 0.0448 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125 | |||
Mapping: [{{val| 2 14 6 9 -10 25 }}, {{val| 0 -16 -2 -5 25 -26 }}] | |||
POTE generator: ~28/25 = 193.9035 | |||
Vals: {{Val list| 62e, 68, 130, 198, 328 }} | |||
Badness: 0.0234 | |||
== Relationships to other temperaments == | == Relationships to other temperaments == |