User:Eliora/55th-octave temperaments

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55edo is notable for meantone Mozart.

Telemannian

Named after Georg Philipp Telemann, this temperament sets 81/80 to be equal to 1\55. 935edo is a strong tuning.

Subgroup: 2.3.5

Comma list: [221 -220 55⟩

Mapping: [⟨55 55 -1], ⟨0 1 4]]

mapping generators: ~81/80 = 1\55, ~3

Optimal tunings:

  • WE: ~81/80 = 21.818, ~3/2 = 702.026
error map: ⟨-0.020, 0.051, -0.027]
  • CWE: ~81/80 = 21.818, ~3/2 = 702.032
error map: ⟨-0.000, 0.077, -0.004]

Optimal ET sequence: 55c, 220cc, 275, 330, 605, 935, 6215

Badness: 4.187 × 102