Magic family: Difference between revisions
→Quadrimage: optimal ET sequences |
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Badness: 0.020633 | Badness: 0.020633 | ||
====== Magical ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 100/99, 105/104, 120/119, 133/132, 144/143, 154/153 | |||
Mapping: {{mapping| 1 0 2 -1 6 -2 6 9 | 0 5 1 12 -8 18 -6 -15 }} | |||
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.4507 | |||
Optimal ET sequence: {{Optimal ET sequence| 19, 22f, 41 }} | |||
Badness: 0.020881 | |||
====== Magica ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 100/99, 105/104, 120/119, 144/143, 154/153, 171/169 | |||
Mapping: {{mapping| 1 0 2 -1 6 -2 6 -4 | 0 5 1 12 -8 18 -6 26 }} | |||
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.5733 | |||
Optimal ET sequence: {{Optimal ET sequence| 19h, 22fh, 41 }} | |||
Badness: 0.019945 | |||
===== Evening ===== | ===== Evening ===== | ||
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{{Multival|legend=1| 5 1 -7 -10 -25 -19 }} | {{Multival|legend=1| 5 1 -7 -10 -25 -19 }} | ||
[[Optimal tuning]] ([[ | [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 378.744 | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
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* 9-odd-limit diamond monotone and tradeoff: ~5/4 = 378.947 | * 9-odd-limit diamond monotone and tradeoff: ~5/4 = 378.947 | ||
{{Optimal ET sequence|legend=1| 16, 19 | {{Optimal ET sequence|legend=1| 16, 19 }} | ||
[[Badness]]: 0.056206 | [[Badness]]: 0.056206 | ||
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Mapping: {{mapping| 1 0 2 5 0 | 0 5 1 -7 11 }} | Mapping: {{mapping| 1 0 2 5 0 | 0 5 1 -7 11 }} | ||
Optimal tuning ( | Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 378.228 | ||
Tuning ranges: | Tuning ranges: | ||
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* 11-odd-limit diamond monotone and tradeoff: ~5/4 = 378.947 | * 11-odd-limit diamond monotone and tradeoff: ~5/4 = 378.947 | ||
{{Optimal ET sequence | Optimal ET sequence: {{Optimal ET sequence| 16, 19, 54bd, 73bcd, 92bcdde }} | ||
Badness: 0.048038 | Badness: 0.048038 | ||
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Mapping: {{mapping| 1 0 2 5 0 4 | 0 5 1 -7 11 -1 }} | Mapping: {{mapping| 1 0 2 5 0 4 | 0 5 1 -7 11 -1 }} | ||
Optimal tuning ( | Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 377.653 | ||
{{Optimal ET sequence | Optimal ET sequence: {{Optimal ET sequence| 16, 19, 54bdf, 73bcdff, 92bcddeff }} | ||
Badness: 0.030386 | Badness: 0.030386 | ||
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Mapping: {{mapping| 1 0 2 5 5 | 0 5 1 -7 -5 }} | Mapping: {{mapping| 1 0 2 5 5 | 0 5 1 -7 -5 }} | ||
Optimal tuning ( | Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 377.724 | ||
{{Optimal ET sequence | Optimal ET sequence: {{Optimal ET sequence| 3, 10bd, 13bd, 16, 19e, 35ee }} | ||
Badness: 0.046970 | Badness: 0.046970 | ||
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Mapping: {{mapping| 1 0 2 5 5 4 | 0 5 1 -7 -5 -1 }} | Mapping: {{mapping| 1 0 2 5 5 4 | 0 5 1 -7 -5 -1 }} | ||
Optimal tuning ( | Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 377.652 | ||
{{Optimal ET sequence | Optimal ET sequence: {{Optimal ET sequence| 3, 10bd, 13bd, 16, 19e, 35eef }} | ||
Badness: 0.028732 | Badness: 0.028732 | ||
== Darkstone == | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 36/35, 1875/1792 | |||
{{Mapping|legend=1| 1 0 2 0 | 0 5 1 9 }} | |||
{{Multival|legend=1| 5 1 9 -10 0 18 }} | |||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 377.385 | |||
{{Optimal ET sequence|legend=1| 13b, 16, 19d, 35d }} | |||
[[Badness]]: 0.084213 | |||
== Brightstone == | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 64/63, 3125/3024 | |||
{{Mapping|legend=1| 1 0 2 6 | 0 5 1 -10 }} | |||
{{Multival|legend=1| 5 1 -10 -10 -30 -26 }} | |||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 381.955 | |||
{{Optimal ET sequence|legend=1| 19d, 22 }} | |||
[[Badness]]: 0.088072 | |||
== Hocum == | == Hocum == | ||