User:Eliora/55th-octave temperaments: Difference between revisions
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Created page with "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: {{monzo|221 -220 55}} {{Mapping|legend=1|55 55 -1|0 1 4}} : mapping generators: ~81/80 = 1\55, ~3" |
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== Telemannian == | == Telemannian == | ||
Named after Georg Philipp Telemann, this temperament sets [[81/80]] to be equal to 1\55. [[935edo]] is a strong tuning. | Named after {{W|Georg Philipp Telemann}}, this temperament sets [[81/80]] to be equal to 1\55. [[935edo]] is a strong tuning. | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
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: mapping generators: ~81/80 = 1\55, ~3 | : mapping generators: ~81/80 = 1\55, ~3 | ||
[[Optimal tuning]]s: | |||
* [[WE]]: ~81/80 = 21.818, ~3/2 = 702.026 | |||
: [[error map]]: {{val|-0.020, 0.051, -0.027}} | |||
* [[CWE]]: ~81/80 = 21.818, ~3/2 = 702.032 | |||
: [[error map]]: {{val|-0.000, 0.077, -0.004}} | |||
{{Optimal ET sequence|legend=1|55c, 220cc, 275, 330, 605, 935, 6215}} | |||
Badness: 4.187 × 10<sup>2</sup> | |||
Latest revision as of 02:56, 3 October 2026
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
- 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