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Very high accuracy temperaments: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 13: Line 13:
[[POTE generator]]: ~1125/1024 = 162.742626
[[POTE generator]]: ~1125/1024 = 162.742626


{{Optimal GPV sequence|legend=1| 22, 74, 96, 118, 376, 494, 612, 1342, 3296, 4638, 7934 }}
{{Optimal ET sequence|legend=1| 22, 74, 96, 118, 376, 494, 612, 1342, 3296, 4638, 7934 }}


[[Badness]]: 0.014091
[[Badness]]: 0.014091
Line 28: Line 28:
[[POTE generator]]: ~296630859375/274877906944 = 132.194668
[[POTE generator]]: ~296630859375/274877906944 = 132.194668


{{Optimal GPV sequence|legend=1| 9, 109, 118, 699, 817, 935, 1053, 1171, 13934, 15105, 16276, 17447, 18618, 19789, 20960, 22131, 23302, 24473, 25644, 26815, 27986c }}
{{Optimal ET sequence|legend=1| 9, 109, 118, 699, 817, 935, 1053, 1171, 13934, 15105, 16276, 17447, 18618, 19789, 20960, 22131, 23302, 24473, 25644, 26815, 27986c }}


[[Badness]]: 0.062778
[[Badness]]: 0.062778
Line 44: Line 44:
[[POTE generator]]: ~1638400000/1162261467 = 594.634565
[[POTE generator]]: ~1638400000/1162261467 = 594.634565


{{Optimal GPV sequence|legend=1| 111, 224, 335, 559, 1342, 1901, 3243 }}
{{Optimal ET sequence|legend=1| 111, 224, 335, 559, 1342, 1901, 3243 }}


[[Badness]]: 0.088530
[[Badness]]: 0.088530
Line 59: Line 59:
[[POTE generator]]: ~864/625 = 560.546826
[[POTE generator]]: ~864/625 = 560.546826


{{Optimal GPV sequence|legend=1| 15, 122, 137, 152, 289, 441, 730, 1171, 1901, 3072, 4243, 7315, 25017, 32332, 39647c }}
{{Optimal ET sequence|legend=1| 15, 122, 137, 152, 289, 441, 730, 1171, 1901, 3072, 4243, 7315, 25017, 32332, 39647c }}


[[Badness]]: 0.025653
[[Badness]]: 0.025653
Line 74: Line 74:
[[POTE generator]]: ~387420489/335544320 = 249.018406
[[POTE generator]]: ~387420489/335544320 = 249.018406


{{Optimal GPV sequence|legend=1| 53, 347, 400, 453, 506, 559, 612, 1171, 1783, 4737, 6520 }}
{{Optimal ET sequence|legend=1| 53, 347, 400, 453, 506, 559, 612, 1171, 1783, 4737, 6520 }}


[[Badness]]: 0.010391
[[Badness]]: 0.010391
Line 87: Line 87:
[[Optimal tuning]] ([[CTE]]): ~6/5 = 315.647919
[[Optimal tuning]] ([[CTE]]): ~6/5 = 315.647919


{{Optimal GPV sequence|legend=1| 19, 365, 384, 403, 422, 441, 901, 1342, 1783, 3125, 4908, 45955, 50863, 55771, 60679, 65587, 70495, 75403, 80311, 85219, 90127 }}
{{Optimal ET sequence|legend=1| 19, 365, 384, 403, 422, 441, 901, 1342, 1783, 3125, 4908, 45955, 50863, 55771, 60679, 65587, 70495, 75403, 80311, 85219, 90127 }}


[[Badness]]: 0.041819
[[Badness]]: 0.041819
Line 114: Line 114:
[[POTE generator]]: ~8388608/7381125 = 221.567899
[[POTE generator]]: ~8388608/7381125 = 221.567899


{{Optimal GPV sequence|legend=1| 65, 352, 417, 482, 547, 612, 1901, 2513, 5638, 8151 }}
{{Optimal ET sequence|legend=1| 65, 352, 417, 482, 547, 612, 1901, 2513, 5638, 8151 }}


[[Badness]]: 0.027876
[[Badness]]: 0.027876
Line 127: Line 127:
POTE generator: ~8388608/7381125 = 221.568031
POTE generator: ~8388608/7381125 = 221.568031


Optimal GPV sequence: {{Val list| 612, 1901, 2513, 3125, 6862, 9987 }}
{{Optimal ET sequence|legend=1| 612, 1901, 2513, 3125, 6862, 9987 }}


Badness: 0.023704
Badness: 0.023704
Line 140: Line 140:
POTE generator: ~8388608/7381125 = 221.568139
POTE generator: ~8388608/7381125 = 221.568139


Optimal GPV sequence: {{Val list| 612, 2513, 3125, 3737, 8086 }}
{{Optimal ET sequence|legend=1| 612, 2513, 3125, 3737, 8086 }}


Badness: 0.036641
Badness: 0.036641
Line 155: Line 155:
[[POTE generator]]: ~94143178827/78125000000 = 322.801358
[[POTE generator]]: ~94143178827/78125000000 = 322.801358


{{Optimal GPV sequence|legend=1| 171, 658, 829, 1000, 1171, 2513, 6197, 39695, 45892, 52089, 58286, 64483, 70680 }}
{{Optimal ET sequence|legend=1| 171, 658, 829, 1000, 1171, 2513, 6197, 39695, 45892, 52089, 58286, 64483, 70680 }}


[[Badness]]: 0.021220
[[Badness]]: 0.021220
Line 170: Line 170:
[[POTE generator]]: ~1953125000000000/1853020188851841 = 91.531001
[[POTE generator]]: ~1953125000000000/1853020188851841 = 91.531001


{{Optimal GPV sequence|legend=1| 13, 105, 118, 957, 1075, 1193, 1311, 1429, 1547, 1665, 1783, 3684, 5467 }}
{{Optimal ET sequence|legend=1| 13, 105, 118, 957, 1075, 1193, 1311, 1429, 1547, 1665, 1783, 3684, 5467 }}


[[Badness]]: 0.046315
[[Badness]]: 0.046315
Line 185: Line 185:
[[POTE generator]]: ~8000/6561 = 343.296098
[[POTE generator]]: ~8000/6561 = 343.296098


{{Optimal GPV sequence|legend=1| 388, 783, 1171, 1954, 3125, 4296, 5467, 7421, 9763, 14059, 18355 }}
{{Optimal ET sequence|legend=1| 388, 783, 1171, 1954, 3125, 4296, 5467, 7421, 9763, 14059, 18355 }}


[[Badness]]: 0.012867
[[Badness]]: 0.012867
Line 198: Line 198:
[[POTE generator]]: ~{{monzo| 24 4 -13 }} = 185.754179
[[POTE generator]]: ~{{monzo| 24 4 -13 }} = 185.754179


{{Optimal GPV sequence|legend=1| 84, 239, 323, 730, 1783, 2513, 4296, 15401, 19697, 23993, 52282, 76275, 128557, 204832 … }}
{{Optimal ET sequence|legend=1| 84, 239, 323, 730, 1783, 2513, 4296, 15401, 19697, 23993, 52282, 76275, 128557, 204832 … }}


[[Badness]]: 0.005656
[[Badness]]: 0.005656
Line 213: Line 213:
[[POTE generator]]: ~32805/32768 = 1.955162
[[POTE generator]]: ~32805/32768 = 1.955162


{{Optimal GPV sequence|legend=1| 12, …, 576, 588, 600, 612, 2460, 3072, 3684, 4296, 12276, 16572, 20868, 25164, 46032 }}
{{Optimal ET sequence|legend=1| 12, …, 576, 588, 600, 612, 2460, 3072, 3684, 4296, 12276, 16572, 20868, 25164, 46032 }}


[[Badness]]: 0.003803
[[Badness]]: 0.003803
Line 226: Line 226:
POTE generator: ~32805/32768 = 1.949608
POTE generator: ~32805/32768 = 1.949608


Optimal GPV sequence: {{Val list| 12, …, 600, 612, 1236, 1848, 4308, 10464, 14772, 25236c, 40008ccd }}
{{Optimal ET sequence|legend=1| 12, …, 600, 612, 1236, 1848, 4308, 10464, 14772, 25236c, 40008ccd }}


Badness: 0.045818
Badness: 0.045818
Line 239: Line 239:
POTE generator: ~32805/32768 = 1.947988
POTE generator: ~32805/32768 = 1.947988


Optimal GPV sequence: {{Val list| 12, …, 600e, 612, 1236, 1848 }}
{{Optimal ET sequence|legend=1| 12, …, 600e, 612, 1236, 1848 }}


Badness: 0.016029
Badness: 0.016029
Line 323: Line 323:
[[Mapping]]: [{{val| 1 0 4 0 }}, {{val| 0 1 1 2 }}, {{val| 0 0 9 1 }}]
[[Mapping]]: [{{val| 1 0 4 0 }}, {{val| 0 1 1 2 }}, {{val| 0 0 9 1 }}]


{{Val list|legend=1| 171, 742, 764, 935, 1106, 1277, 1677, 1848, 2019, 2783, 2954, 3125, 8098, 11223, 25571, 33840, 36794, 45063, 48188, 59411, 70634, }} …
{{Optimal ET sequence|legend=1| 171, 742, 764, 935, 1106, 1277, 1677, 1848, 2019, 2783, 2954, 3125, 8098, 11223, 25571, 33840, 36794, 45063, 48188, 59411, 70634, }} …


[[Badness]]: 0.000545
[[Badness]]: 0.000545
Line 345: Line 345:
[[Mapping]]: [{{val| 1 0 0 -5 }}, {{val| 0 2 0 -13 }}, {{val| 0 0 1 5 }}]
[[Mapping]]: [{{val| 1 0 0 -5 }}, {{val| 0 2 0 -13 }}, {{val| 0 0 1 5 }}]


{{Val list|legend=1| 171, 441, 612, 1730, 1901, 2072, 2171, 2342, 2513, 2684, 2783, 2954, 3125, 6520, 6691, 9816, 16336, 16507, 23027, 26152, 32843, 42659, 58995, 68811, 101654, }} …
{{Optimal ET sequence|legend=1| 171, 441, 612, 1730, 1901, 2072, 2171, 2342, 2513, 2684, 2783, 2954, 3125, 6520, 6691, 9816, 16336, 16507, 23027, 26152, 32843, 42659, 58995, 68811, 101654, }} …


[[Badness]]: 0.000205
[[Badness]]: 0.000205
Line 356: Line 356:
[[Mapping]]: [{{val| 1 0 0 55 }}, {{val| 0 1 0 -30 }}, {{val| 0 0 1 -2 }}]
[[Mapping]]: [{{val| 1 0 0 55 }}, {{val| 0 1 0 -30 }}, {{val| 0 0 1 -2 }}]


{{Val list|legend=1| 612, 1236, 1277, 1848, 2513, 3125, 6862, 8098, 8710, 11835, 14960, 26795 }}
{{Optimal ET sequence|legend=1| 612, 1236, 1277, 1848, 2513, 3125, 6862, 8098, 8710, 11835, 14960, 26795 }}


[[Badness]]: 0.000366
[[Badness]]: 0.000366
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