Gregorian leap day: Difference between revisions

Fredg999 (talk | contribs)
Rephrase relation to 18/17 equal-step tuning
Eliora (talk | contribs)
Correct as requested, 97 -> 97g
 
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In the 7-limit, temperament reaches [[15/8]] in 11 generators, entirely contained within the 12-tone well temperament, and also [[7/5]] in 18 generators.
In the 7-limit, temperament reaches [[15/8]] in 11 generators, entirely contained within the 12-tone well temperament, and also [[7/5]] in 18 generators.
{{todo|correct maths|inline=1|text=The generator isn't mapped to 18/17 according to the mapping below. Should it be 97g & 400 instead of 97 & 400?}}


== Temperament data ==
== Temperament data ==
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Mapping: {{mapping| 1 10 -7 8 16 7 -12 | 0 -102 113 131 -152 -40 195 }}
Mapping: {{mapping| 1 10 -7 8 16 7 -12 | 0 -102 113 131 -152 -40 195 }}


Optimal tuning (CTE): ~2 = 1\1, 55/52 = 98.9993
Optimal tuning (CTE): ~2 = 1\1, 18/17 = 98.9993


Optimal ET sequence: {{Optimal ET sequence| 97, 303, 400 }}
Optimal ET sequence: {{Optimal ET sequence| 97g, 303g, 400 }}


Badness: 0.0776
Badness: 0.0776
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Mapping: {{mapping| 1 10 -7 8 16 7 -12 4 | 0 -102 113 131 -152 -40 195 3 }}
Mapping: {{mapping| 1 10 -7 8 16 7 -12 4 | 0 -102 113 131 -152 -40 195 3 }}


Optimal tuning (CTE): ~2 = 1\1, 55/52 = 98.9993
Optimal tuning (CTE): ~2 = 1\1, 18/17 = 98.9993


Optimal ET sequence: {{Optimal ET sequence| 97, 303, 400 }}
Optimal ET sequence: {{Optimal ET sequence| 97g, 303g, 400 }}


Badness: 0.0541
Badness: 0.0541