Landscape microtemperaments: Difference between revisions

Review optimal ET sequence
Eliora (talk | contribs)
Zinc: zinc is better addressed in 30th-octave temperaments
Line 483: Line 483:
Badness: 0.0209
Badness: 0.0209


== Zinc ==
Zinc is described as the 270 & 1920 temperament, and named after the 30th element due to featuring a period of 1/30 octave.


[[Subgroup]]: 2.3.5.7
[[Comma list]]: 250047/250000, {{monzo| -45 -24 14 18 }}
{{Mapping|legend=1| 30 2 15 66 | 0 5 6 2 }}
[[Optimal tuning]] ([[CTE]]): ~53747712/52521875 = 1\30, ~216/175 = 364.389
{{Optimal ET sequence|legend=1| 270, 1380, 1650, 1920, 2190, 4650 }}
[[Badness]]: 0.0742
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 250047/250000, 97869261875/97844723712
Mapping: {{mapping| 30 2 15 66 122 | 0 5 6 2 -2 }}
Optimal tuning (CTE): ~18865/18432 = 1\30, ~216/175 = 364.389
{{Optimal ET sequence|legend=1| 270, 1110, 1380, 1650, 1920, 2190 }}
Badness: 0.0220
=== 13-limit ===
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 123201/123200, 250047/250000, 1990656/1990625
Mapping: {{mapping| 30 2 15 66 122 193 | 0 5 6 2 -2 -9 }}
Optimal tuning (CTE): ~351/343 = 1\30, ~216/175 = 364.389
{{Optimal ET sequence|legend=1| 270, 1380, 1650, 1920, 2190, 4650, 6840e, 11490de }}
Badness: 0.0150


[[Category:Temperament collections]]
[[Category:Temperament collections]]