The Jacobins: Difference between revisions
→Gene's jacobin: oops |
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== Gene's jacobin == | == Gene's jacobin == | ||
Described as the 1789 & 3395 temperament, and named in honor of [[Gene Ward Smith]], who named the jacobin comma. | Described as the 1789 & 3395 temperament, and named in honor of [[Gene Ward Smith]], who named the jacobin comma, and the fact that 3395edo provides the optimal patent val for the comma. 7 generators are equal to [[55/32]]. | ||
Subgroup: 2.5.11.13 | Subgroup: 2.5.11.13 | ||
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Vals: {{EDOs|183, 1789, 3395}}, ... | Vals: {{EDOs|183, 1789, 3395}}, ... | ||
=== 2.5.11.13.29 subgroup === | |||
An extension for this subgroup is prescribed because both 1789edo and 3395edo are good at 29th harmonic, which in this temperament is also reached in just 32 generator steps. | |||
Subgroup: 2.5.11.13.29 | |||
Comma list: 6656/6655, 594880000/594823321, 8091203119330852077568/8090590952301025390625 | |||
Sval mapping: {{Val|1 100 -99 -206 -17}}, {{Val|0 -143 150 307 32}} | |||
Optimal tuning (CTE): ~55115776/34328125 = 819.676 | |||
== Onzonic == | == Onzonic == | ||