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Porwell temperaments: Difference between revisions

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Line 447: Line 447:
[[Comma list]]: 6144/6125, 9920232/9765625
[[Comma list]]: 6144/6125, 9920232/9765625


{{Mapping|legend=1| 23 37 54 64 | 0 -1 -1 1 }}
{{Mapping|legend=1| 23 0 17 101 | 0 1 1 -1 }}
 
: mapping generators: ~1323/1280, ~3


{{Multival|legend=1| 23 23 -23 -17 -101 -118 }}
{{Multival|legend=1| 23 23 -23 -17 -101 -118 }}
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[[Optimal tuning]] ([[POTE]]): ~1323/1280 = 1\23, ~64/63 = 29.3586
[[Optimal tuning]] ([[POTE]]): ~1323/1280 = 1\23, ~64/63 = 29.3586


{{Optimal ET sequence|legend=1| 23, 46, 115, 161, 207, 368c }}
{{Optimal ET sequence|legend=1| 46, 115, 161, 207, 368c }}


[[Badness]]: 0.196622
[[Badness]]: 0.196622
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Comma list: 441/440, 6144/6125, 35937/35840
Comma list: 441/440, 6144/6125, 35937/35840


Mapping: {{mapping| 23 37 54 64 79 | 0 -1 -1 1 1 }}
Mapping: {{mapping| 23 0 17 101 116 | 0 1 1 -1 -1 }}


Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.3980
Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.3980


{{Optimal ET sequence|legend=1| 23, 46, 115, 161, 207, 368c }}
{{Optimal ET sequence|legend=1| 46, 115, 161, 207, 368c }}


Badness: 0.064613
Badness: 0.064613
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Comma list: 351/350, 441/440, 847/845, 3584/3575
Comma list: 351/350, 441/440, 847/845, 3584/3575


Mapping: {{mapping| 23 37 54 64 79 84 | 0 -1 -1 1 1 2 }}
Mapping: {{mapping| 23 0 17 101 116 158 | 0 1 1 -1 -1 -2 }}


Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.2830
Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.2830
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Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088
Comma list: 351/350, 441/440, 561/560, 847/845, 1089/1088


Mapping: {{mapping| 23 37 54 64 79 84 94 | 0 -1 -1 1 1 2 0 }}
Mapping: {{mapping| 23 0 17 101 116 158 94 | 0 1 1 -1 -1 -2 0 }}


Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.2800
Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.2800
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Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845
Comma list: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845


Mapping: {{mapping| 23 37 54 64 79 84 94 96 | 0 -1 -1 1 1 2 0 3 }}
Mapping: {{mapping| 23 0 17 101 116 158 94 207 | 0 1 1 -1 -1 -2 0 -3 }}


Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.3760
Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.3760
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Comma list: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845
Comma list: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845


Mapping: {{mapping| 23 37 54 64 79 84 94 96 104 | 0 -1 -1 1 1 2 0 3 0 }}
Mapping: {{mapping| 23 0 17 101 116 158 94 207 104 | 0 1 1 -1 -1 -2 0 -3 0 }}


Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.3471
Optimal tuning (POTE): ~33/32 = 1\23, ~64/63 = 29.3471
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{{Mapping|legend=1| 1 4 3 3 | 0 -25 -7 -2 }}
{{Mapping|legend=1| 1 4 3 3 | 0 -25 -7 -2 }}
: mapping generators: ~2, ~343/320


{{Multival|legend=1| 25 7 2 -47 -67 -15 }}
{{Multival|legend=1| 25 7 2 -47 -67 -15 }}
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[[Comma list]]: 6144/6125, 177147/175000
[[Comma list]]: 6144/6125, 177147/175000


{{Mapping|legend=1| 7 11 16 20 | 0 1 3 -4 }}
{{Mapping|legend=1| 7 0 -17 64 | 0 1 3 -4 }}
 
: mapping generators: ~972/875, ~3


[[Optimal tuning]] ([[POTE]]): ~972/875 = 1\7, ~3/2 = 700.5854 (or ~10/9 = 186.2997)
[[Optimal tuning]] ([[POTE]]): ~972/875 = 1\7, ~3/2 = 700.5854 (or ~10/9 = 186.2997)
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Comma list: 441/440, 6144/6125, 72171/71680
Comma list: 441/440, 6144/6125, 72171/71680


Mapping: {{mapping| 7 11 16 20 25 | 0 1 3 -4 -9 }}
{{Mapping|legend=1| 7 0 -17 64 124 | 0 1 3 -4 -9 }}


Optimal tuning (POTE): ~495/448 = 1\7, ~3/2 = 700.6354 (or ~10/9 = 186.3497)
Optimal tuning (POTE): ~495/448 = 1\7, ~3/2 = 700.6354 (or ~10/9 = 186.3497)
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Comma list: 351/350, 441/440, 1188/1183, 3584/3575
Comma list: 351/350, 441/440, 1188/1183, 3584/3575


Mapping: {{mapping| 7 11 16 20 25 26 | 0 1 3 -4 -9 -1 }}
{{Mapping|legend=1| 7 0 -17 64 124 37 | 0 1 3 -4 -9 -1 }}


Optimal tuning (POTE): ~72/65 = 1\7, ~3/2 = 700.6291 (or ~10/9 = 186.3434)
Optimal tuning (POTE): ~72/65 = 1\7, ~3/2 = 700.6291 (or ~10/9 = 186.3434)
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Comma list: 351/350, 441/440, 561/560, 1188/1183, 1632/1625
Comma list: 351/350, 441/440, 561/560, 1188/1183, 1632/1625


Mapping: {{mapping| 7 11 16 20 25 26 28 | 0 1 3 -4 -9 -1 7 }}
{{Mapping|legend=1| 7 0 -17 64 124 37 -49 | 0 1 3 -4 -9 -1 7 }}


Optimal tuning (POTE): ~72/65 = 1\7, ~3/2 = 700.6524 (or ~10/9 = 186.3667)
Optimal tuning (POTE): ~72/65 = 1\7, ~3/2 = 700.6524 (or ~10/9 = 186.3667)
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Comma list: 324/323, 351/350, 441/440, 456/455, 476/475, 495/494
Comma list: 324/323, 351/350, 441/440, 456/455, 476/475, 495/494


Mapping: {{mapping| 7 11 16 20 25 26 28 30 | 0 1 3 -4 -9 -1 7 -3 }}
{{Mapping|legend=1| 7 0 -17 64 124 37 -49 63 | 0 1 3 -4 -9 -1 7 -3 }}


Optimal tuning (POTE): ~72/65 = 1\7, ~3/2 = 700.6565 (or ~10/9 = 186.3708)
Optimal tuning (POTE): ~21/19 = 1\7, ~3/2 = 700.6565 (or ~10/9 = 186.3708)


{{Optimal ET sequence|legend=1| 77, 161 }}
{{Optimal ET sequence|legend=1| 77, 161 }}
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