Würschmidt family: Difference between revisions
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→Semihemiwür: I'm not convinced by this 17-limit extension, added an alternative (name with -at for flat and -and for sharp) |
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Badness: 0.023388 | Badness: 0.023388 | ||
==== | ===== Semihemiwürat ===== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
Comma list: 289/288, 442/441, 561/560, 676/675, 1632/1625 | Comma list: 289/288, 442/441, 561/560, 676/675, 1632/1625 | ||
Mapping: [{{val|2 14 6 9 -10 25 19}}, {{val|0 -16 -2 -5 25 -26 -16}}] | Mapping: [{{val| 2 14 6 9 -10 25 19 }}, {{val| 0 -16 -2 -5 25 -26 -16 }}] | ||
POTE generator: ~28/25 = 193. | POTE generator: ~28/25 = 193.9112 | ||
Vals: {{Val list| 62e, 68, 130, 198, 328g, 526cfgg }} | Vals: {{Val list| 62e, 68, 130, 198, 328g, 526cfgg }} | ||
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Badness: 0.028987 | Badness: 0.028987 | ||
==== 19-limit ==== | ====== 19-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
Comma list: 289/288, 442/441, 456/455, 476/475, 561/560, 627/625 | Comma list: 289/288, 442/441, 456/455, 476/475, 561/560, 627/625 | ||
Mapping: [{{val|2 14 6 9 -10 25 19 20}}, {{val|0 -16 -2 -5 25 -26 -16 -17}}] | Mapping: [{{val| 2 14 6 9 -10 25 19 20 }}, {{val| 0 -16 -2 -5 25 -26 -16 -17 }}] | ||
POTE generator: ~19/17 = 193. | POTE generator: ~19/17 = 193.9145 | ||
Vals: {{Val list| 62e, 68, 130, 198, 328g, 526cfgg }} | Vals: {{Val list| 62e, 68, 130, 198, 328g, 526cfgg }} | ||
Badness: 0.021707 | Badness: 0.021707 | ||
===== Semihemiwürand ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 256/255, 676/675, 715/714, 1001/1000, 1225/1224 | |||
Mapping: [{{val| 2 14 6 9 -10 25 -4 }}, {{val| 0 -16 -2 -5 25 -26 18 }}] | |||
POTE generator: ~28/25 = 193.9112 | |||
Vals: {{Val list| 62eg, 68, 130g, 198g }} | |||
Badness: 0.029718 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 256/255, 286/285, 400/399, 476/475, 495/494, 1225/1224 | |||
Mapping: [{{val| 2 14 6 9 -10 25 -4 -3 }}, {{val| 0 -16 -2 -5 25 -26 18 17 }}] | |||
POTE generator: ~19/17 = 193.9428 | |||
Vals: {{Val list| 62egh, 68, 130gh, 198gh }} | |||
Badness: 0.029545 | |||
== Relationships to other temperaments == | == Relationships to other temperaments == | ||