Meantone family: Difference between revisions

Update keys; POTE -> CTE; review comma lists and GPV sequences (1/2)
Septimal meantone: some of these 17- and 19-limit extensions don't deserve to be canonical
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Badness: 0.018048
Badness: 0.018048


===== 17-limit =====
===== Meantonic =====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


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Badness: 0.026421
Badness: 0.026421


===== 17-limit =====
===== Meridetonic =====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


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Mapping: [{{val| 1 0 -4 -13 -25 -5 -22 -25 }}, {{val| 0 2 8 20 36 11 33 37 }}]
Mapping: [{{val| 1 0 -4 -13 -25 -5 -22 -25 }}, {{val| 0 2 8 20 36 11 33 37 }}]


Optimal tuning (CTE): ~2 = 1\1, ~26/15 = 948.6088
Optimal tuning (CTE): ~2 = 1\1, ~19/11 = 948.6088


Optimal GPV sequence: {{Val list| 19egh, 43, 62 }}
Optimal GPV sequence: {{Val list| 19egh, 43, 62 }}
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Badness: 0.020883
Badness: 0.020883


===== 17-limit =====
===== Meanpoppic =====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17