Ditonmic family: Difference between revisions
Sorting: move the bad extension below coditone |
m Spell 1\1 in decimal, note the badness metric being used, and misc. cleanup |
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| Line 10: | Line 10: | ||
{{Mapping|legend=1| 1 6 3 | 0 -13 -2 }} | {{Mapping|legend=1| 1 6 3 | 0 -13 -2 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = | [[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~15625/12288 = 407.574 | ||
{{Optimal ET sequence|legend=1| 3, 47, 50, 53, 474c, 527c, 580c, 633c, 686c, 739c, 792c, 845cc }} | {{Optimal ET sequence|legend=1| 3, 47, 50, 53, 474c, 527c, 580c, 633c, 686c, 739c, 792c, 845cc }} | ||
[[Badness]]: 0.167086 | [[Badness]] (Smith): 0.167086 | ||
== Coditone == | == Coditone == | ||
| Line 25: | Line 25: | ||
{{Multival|legend=1| 13 2 30 -27 11 64 }} | {{Multival|legend=1| 13 2 30 -27 11 64 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = | [[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~1225/972 = 407.690 | ||
{{Optimal ET sequence|legend=1| 3d, 50, 53, 103, 156 }} | {{Optimal ET sequence|legend=1| 3d, 50, 53, 103, 156 }} | ||
[[Badness]]: 0.064356 | [[Badness]] (Smith): 0.064356 | ||
=== 11-limit === | === 11-limit === | ||
| Line 38: | Line 38: | ||
Mapping: {{mapping| 1 6 3 13 -3 | 0 -13 -2 -30 19 }} | Mapping: {{mapping| 1 6 3 13 -3 | 0 -13 -2 -30 19 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~1225/972 = 407.741 | ||
{{Optimal ET sequence|legend=0| 50, 53, 103 }} | |||
Badness: 0.044329 | Badness (Smith): 0.044329 | ||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 51: | Line 51: | ||
Mapping: {{mapping| 1 6 3 13 -3 2 | 0 -13 -2 -30 19 5 }} | Mapping: {{mapping| 1 6 3 13 -3 2 | 0 -13 -2 -30 19 5 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~325/256 = 407.736 | ||
{{Optimal ET sequence|legend=0| 50, 53, 103 }} | |||
Badness: 0.024352 | Badness (Smith): 0.024352 | ||
=== Coditonic === | === Coditonic === | ||
| Line 64: | Line 64: | ||
Mapping: {{mapping| 1 6 3 13 15 | 0 -13 -2 -30 -34 }} | Mapping: {{mapping| 1 6 3 13 15 | 0 -13 -2 -30 -34 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~242/189 = 407.567 | ||
{{Optimal ET sequence|legend=0| 3de, 50e, 53 }} | |||
Badness: 0.063876 | Badness (Smith): 0.063876 | ||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 77: | Line 77: | ||
Mapping: {{mapping| 1 6 3 13 15 20 | 0 -13 -2 -30 -34 -48 }} | Mapping: {{mapping| 1 6 3 13 15 20 | 0 -13 -2 -30 -34 -48 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~33/26 = 407.541 | ||
{{Optimal ET sequence|legend=0| 3def, 53 }} | |||
Badness: 0.043989 | Badness (Smith): 0.043989 | ||
== Diton == | == Diton == | ||
| Line 94: | Line 94: | ||
{{Multival|legend=1| 13 2 -20 -27 -68 -52 }} | {{Multival|legend=1| 13 2 -20 -27 -68 -52 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = | [[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~2625/2048 = 407.954 | ||
{{Optimal ET sequence|legend=1| 3, 47, 50 }} | {{Optimal ET sequence|legend=1| 3, 47, 50 }} | ||
[[Badness]]: 0.242101 | [[Badness]] (Smith): 0.242101 | ||
=== 11-limit === | === 11-limit === | ||
| Line 107: | Line 107: | ||
Mapping: {{mapping| 1 6 3 -4 -3 | 0 -13 -2 20 19 }} | Mapping: {{mapping| 1 6 3 -4 -3 | 0 -13 -2 20 19 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~14/11 = 407.892 | ||
{{Optimal ET sequence|legend=0| 3, 47, 50, 53d }} | |||
Badness: 0.100884 | Badness (Smith): 0.100884 | ||
=== 13-limit === | === 13-limit === | ||
| Line 120: | Line 120: | ||
Mapping: {{mapping| 1 6 3 -4 -3 2 | 0 -13 -2 20 19 5 }} | Mapping: {{mapping| 1 6 3 -4 -3 2 | 0 -13 -2 20 19 5 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~14/11 = 407.887 | ||
{{Optimal ET sequence|legend=0| 3, 47, 50, 53d }} | |||
Badness: 0.054997 | Badness (Smith): 0.054997 | ||
== Notes == | == Notes == | ||