59th-octave temperaments

Fractional-octave temperaments

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59-5-commatic

59edo is a denominator to convergent of log₂5.

Subgroup: 2.3.5

Comma list: [137 0 -59⟩

Mapping: [⟨59 0 137], ⟨0 1 0]]

mapping generators: ~[-65 0 28⟩ = 1\59, ~3

Optimal tuning (CTE): ~3/2 = 701.955

Supporting ETs: 59N, N = 1 to 80, largest patent val: 4720