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Gravity family: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Update keys
Line 6: Line 6:
[[Comma list]]: 129140163/128000000
[[Comma list]]: 129140163/128000000


[[Mapping]]: [{{val| 1 5 12 }}, {{val| 0 -6 -17 }}]
{{Mapping|legend=1| 1 5 12 | 0 -6 -17 }}


Mapping generators: ~2, ~40/27
: mapping generators: ~2, ~40/27


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~27/20 = 516.844
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~27/20 = 516.844
Line 24: Line 24:
Comma list: 243/242, 4000/3993
Comma list: 243/242, 4000/3993


Sval mapping: [{{val| 1 5 12 12 }}, {{val| 0 -6 -17 -15 }}]
Sval mapping: {{mapping| 1 5 12 12 | 0 -6 -17 -15 }}


Gencom mapping: [{{val| 1 5 12 0 12 }}, {{val| 0 -6 -17 0 -15 }}]
Gencom mapping: {{mapping| 1 5 12 0 12 | 0 -6 -17 0 -15 }}


Gencom: [2 40/27; 243/242 4000/3993]
: gencom: [2 40/27; 243/242 4000/3993]


Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.834
Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.834
Line 41: Line 41:
[[Comma list]]: 225/224, 78125000/78121827
[[Comma list]]: 225/224, 78125000/78121827


[[Mapping]]: [{{val| 1 5 12 29 }}, {{val| 0 -6 -17 -46 }}]
{{Mapping|legend=1| 1 5 12 29 | 0 -6 -17 -46 }}


{{Multival|legend=1| 6 17 46 13 56 59 }}
{{Multival|legend=1| 6 17 46 13 56 59 }}
Line 56: Line 56:
Comma list: 225/224, 243/242, 4000/3993
Comma list: 225/224, 243/242, 4000/3993


Mapping: [{{val| 1 5 12 29 12 }}, {{val| 0 -6 -17 -46 -15 }}]
Mapping: {{mapping| 1 5 12 29 12 | 0 -6 -17 -46 -15 }}


Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.699
Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.699
Line 69: Line 69:
Comma list: 225/224, 243/242, 351/350, 1625/1617
Comma list: 225/224, 243/242, 351/350, 1625/1617


Mapping: [{{val| 1 5 12 29 12 39 }}, {{val| 0 -6 -17 -46 -15 -62 }}]
Mapping: {{mapping| 1 5 12 29 12 39 | 0 -6 -17 -46 -15 -62 }}


Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.730
Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.730
Line 82: Line 82:
[[Comma list]]: 4375/4374, 33075/32768
[[Comma list]]: 4375/4374, 33075/32768


[[Mapping]]: [{{val| 1 5 12 -12 }}, {{val| 0 -6 -17 26 }}]
{{Mapping|legend=1| 1 5 12 -12 | 0 -6 -17 26 }}


{{Multival|legend=1| 6 17 -26 13 -58 -108 }}
{{Multival|legend=1| 6 17 -26 13 -58 -108 }}
Line 97: Line 97:
Comma list: 243/242, 385/384, 4000/3993
Comma list: 243/242, 385/384, 4000/3993


Mapping: [{{val| 1 5 12 -12 12 }}, {{val| 0 -6 -17 26 -15 }}]
Mapping: {{mapping| 1 5 12 -12 12 | 0 -6 -17 26 -15 }}


Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.691
Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.691
Line 110: Line 110:
Comma list: 169/168, 243/242, 325/324, 385/384
Comma list: 169/168, 243/242, 325/324, 385/384


Mapping: [{{val| 1 5 12 -12 12 -2 }}, {{val| 0 -6 -17 26 -15 10 }}]
Mapping: {{mapping| 1 5 12 -12 12 -2 | 0 -6 -17 26 -15 10 }}


Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.667
Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 516.667
Line 123: Line 123:
[[Comma list]]: 126/125, 1605632/1594323
[[Comma list]]: 126/125, 1605632/1594323


[[Mapping]]: [{{val| 1 5 12 25 }}, {{val| 0 -6 -17 -39 }}]
{{Mapping|legend=1| 1 5 12 25 | 0 -6 -17 -39 }}


{{Multival|legend=1| 6 17 39 13 45 43 }}
{{Multival|legend=1| 6 17 39 13 45 43 }}
Line 138: Line 138:
Comma list: 126/125, 243/242, 896/891
Comma list: 126/125, 243/242, 896/891


Mapping: [{{val| 1 5 12 25 12 }}, {{val| 0 -6 -17 -39 -15 }}]
Mapping: {{mapping| 1 5 12 25 12 | 0 -6 -17 -39 -15 }}


Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 517.155
Optimal tuning (POTE): ~2 = 1\1, ~27/20 = 517.155
Line 159: Line 159:
[[Comma list]]: 2401/2400, 19683/19600
[[Comma list]]: 2401/2400, 19683/19600


[[Mapping]]: [{{val| 2 4 7 7 }}, {{val| 0 -6 -17 -10 }}]
{{Mapping|legend=1| 2 4 7 7 | 0 -6 -17 -10 }}


Mapping generators: ~567/400, ~21/20
: mapping generators: ~567/400, ~21/20


{{Multival|legend=1| 12 34 20 26 -2 -49 }}
{{Multival|legend=1| 12 34 20 26 -2 -49 }}
Line 176: Line 176:
Comma list: 243/242, 441/440, 4000/3993
Comma list: 243/242, 441/440, 4000/3993


Mapping: [{{val| 2 4 7 7 9 }}, {{val| 0 -6 -17 -10 -15 }}]
Mapping: {{mapping| 2 4 7 7 9 | 0 -6 -17 -10 -15 }}


Optimal tuning (POTE): ~99/70 = 1\2, ~27/20 = 516.833 (~21/20 = 83.167)
Optimal tuning (POTE): ~99/70 = 1\2, ~27/20 = 516.833 (~21/20 = 83.167)
Line 189: Line 189:
Comma list: 243/242, 351/350, 364/363, 441/440
Comma list: 243/242, 351/350, 364/363, 441/440


Mapping: [{{val| 2 4 7 7 9 11 }}, {{val| 0 -6 -17 -10 -15 -26 }}]
Mapping: {{mapping| 2 4 7 7 9 11 | 0 -6 -17 -10 -15 -26 }}


Optimal tuning (POTE): ~55/39 = 1\2, ~27/20 = 516.884 (~21/20 = 83.116)
Optimal tuning (POTE): ~55/39 = 1\2, ~27/20 = 516.884 (~21/20 = 83.116)
Line 202: Line 202:
Comma list: 221/220, 243/242, 289/288, 351/350, 441/440
Comma list: 221/220, 243/242, 289/288, 351/350, 441/440


Mapping: [{{val| 2 4 7 7 9 11 9 }}, {{val| 0 -6 -17 -10 -15 -26 -6 }}]
Mapping: {{mapping| 2 4 7 7 9 11 9 | 0 -6 -17 -10 -15 -26 -6 }}


Optimal tuning (POTE): ~17/12 = 1\2, ~27/20 = 516.832 (~21/20 = 83.168)
Optimal tuning (POTE): ~17/12 = 1\2, ~27/20 = 516.832 (~21/20 = 83.168)
Line 211: Line 211:


[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Gravity]]
[[Category:Gravity family| ]] <!-- main article -->
[[Category:Gravity family| ]] <!-- main article -->
[[Category:Gravity| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Gravity_family"