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Porwell temperaments: Difference between revisions

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Line 47: Line 47:
POTE generator: ~3/2 = 702.636
POTE generator: ~3/2 = 702.636


Vals: {{Val list| 22, 55, 77, 99, 176e, 275e }}
Optimal GPV sequence: {{Val list| 22, 55, 77, 99, 176e, 275e }}


Badness: 0.046088
Badness: 0.046088
Line 60: Line 60:
POTE generator: ~3/2 = 702.914
POTE generator: ~3/2 = 702.914


Vals: {{Val list| 22, 154, 176, 198 }}
Optimal GPV sequence: {{Val list| 22, 154, 176, 198 }}


Badness: 0.057725
Badness: 0.057725
Line 90: Line 90:
POTE generator: ~81/70 = 249.199
POTE generator: ~81/70 = 249.199


Vals: {{Val list| 24e, 53, 130, 183, 313 }}
Optimal GPV sequence: {{Val list| 24e, 53, 130, 183, 313 }}


Badness: 0.036289
Badness: 0.036289
Line 103: Line 103:
POTE generator: ~15/13 = 249.199
POTE generator: ~15/13 = 249.199


Vals: {{Val list| 24e, 53, 130, 183, 313 }}
Optimal GPV sequence: {{Val list| 24e, 53, 130, 183, 313 }}


Badness: 0.020816
Badness: 0.020816
Line 116: Line 116:
POTE generator: ~15/13 = 249.190
POTE generator: ~15/13 = 249.190


Vals: {{Val list| 53, 130, 183, 679df }}
Optimal GPV sequence: {{Val list| 53, 130, 183, 679df }}


Badness: 0.021073
Badness: 0.021073
Line 144: Line 144:
POTE generator: ~15/14 = 130.430
POTE generator: ~15/14 = 130.430


Vals: {{Val list| 9, 28b, 37, 46 }}
Optimal GPV sequence: {{Val list| 9, 28b, 37, 46 }}


Badness: 0.040768
Badness: 0.040768
Line 157: Line 157:
POTE generator: ~13/12 = 130.409
POTE generator: ~13/12 = 130.409


Vals: {{Val list| 9, 28b, 37, 46 }}
Optimal GPV sequence: {{Val list| 9, 28b, 37, 46 }}


Badness: 0.025941
Badness: 0.025941
Line 185: Line 185:
POTE generator: ~8/7 = 226.4856
POTE generator: ~8/7 = 226.4856


Vals: {{Val list| 16, 37, 53 }}
Optimal GPV sequence: {{Val list| 16, 37, 53 }}


Badness: 0.059838
Badness: 0.059838
Line 198: Line 198:
POTE generator: ~8/7 = 226.4794
POTE generator: ~8/7 = 226.4794


Vals: {{Val list| 16, 37, 53 }}
Optimal GPV sequence: {{Val list| 16, 37, 53 }}


Badness: 0.032564
Badness: 0.032564
Line 243: Line 243:
POTE generator: ~45/32 = 588.811
POTE generator: ~45/32 = 588.811


Vals: {{Val list| 53, 108e, 161e }}
Optimal GPV sequence: {{Val list| 53, 108e, 161e }}


Badness: 0.088631
Badness: 0.088631
Line 256: Line 256:
POTE generator: ~45/32 = 588.788
POTE generator: ~45/32 = 588.788


Vals: {{Val list| 53, 108e, 161e, 214ee }}
Optimal GPV sequence: {{Val list| 53, 108e, 161e, 214ee }}


Badness: 0.058507
Badness: 0.058507
Line 286: Line 286:
POTE generator: ~242/175 = 560.519
POTE generator: ~242/175 = 560.519


Vals: {{Val list| 15, 122d, 137, 152, 608de, 623bde, 775bcde }}
Optimal GPV sequence: {{Val list| 15, 122d, 137, 152, 608de, 623bde, 775bcde }}


Badness: 0.043743
Badness: 0.043743
Line 316: Line 316:
POTE generator: ~3/2 = 704.177
POTE generator: ~3/2 = 704.177


Vals: {{Val list| 46, 121, 167, 288be, 455bcde }}
Optimal GPV sequence: {{Val list| 46, 121, 167, 288be, 455bcde }}


Badness: 0.051131
Badness: 0.051131
Line 329: Line 329:
POTE generator: ~3/2 = 704.168
POTE generator: ~3/2 = 704.168


Vals: {{Val list| 46, 121, 167, 288be }}
Optimal GPV sequence: {{Val list| 46, 121, 167, 288be }}


Badness: 0.030292
Badness: 0.030292
Line 342: Line 342:
POTE generator: ~3/2 = 704.168
POTE generator: ~3/2 = 704.168


Vals: {{Val list| 46, 121, 167, 288beg }}
Optimal GPV sequence: {{Val list| 46, 121, 167, 288beg }}


Badness: 0.019051
Badness: 0.019051
Line 372: Line 372:
POTE generator: ~64/63 = 29.3980
POTE generator: ~64/63 = 29.3980


Vals: {{Val list| 23, 46, 115, 161, 207, 368c }}
Optimal GPV sequence: {{Val list| 23, 46, 115, 161, 207, 368c }}


Badness: 0.064613
Badness: 0.064613
Line 385: Line 385:
POTE generator: ~64/63 = 29.2830
POTE generator: ~64/63 = 29.2830


Vals: {{Val list| 46, 115, 161, 207, 368c }}
Optimal GPV sequence: {{Val list| 46, 115, 161, 207, 368c }}


Badness: 0.040484
Badness: 0.040484
Line 398: Line 398:
POTE generator: ~64/63 = 29.2800
POTE generator: ~64/63 = 29.2800


Vals: {{Val list| 46, 115, 161, 207, 368c }}
Optimal GPV sequence: {{Val list| 46, 115, 161, 207, 368c }}


Badness: 0.024676
Badness: 0.024676
Line 411: Line 411:
POTE generator: ~64/63 = 29.3760
POTE generator: ~64/63 = 29.3760


Vals: {{Val list| 46, 115, 161, 207, 368c }}
Optimal GPV sequence: {{Val list| 46, 115, 161, 207, 368c }}


Badness: 0.021579
Badness: 0.021579
Line 424: Line 424:
POTE generator: ~64/63 = 29.3471
POTE generator: ~64/63 = 29.3471


Vals: {{Val list| 46, 115, 161, 207, 368ci }}
Optimal GPV sequence: {{Val list| 46, 115, 161, 207, 368ci }}


Badness: 0.017745
Badness: 0.017745
Line 454: Line 454:
POTE generator: ~77/72 = 115.9158
POTE generator: ~77/72 = 115.9158


Vals: {{Val list| 31, 114e, 145, 176 }}
Optimal GPV sequence: {{Val list| 31, 114e, 145, 176 }}


Badness: 0.039162
Badness: 0.039162
Line 467: Line 467:
POTE generator: ~77/72 = 115.8803
POTE generator: ~77/72 = 115.8803


Vals: {{Val list| 31, 83e, 114e, 145, 321ceff }}
Optimal GPV sequence: {{Val list| 31, 83e, 114e, 145, 321ceff }}


Badness: 0.039271
Badness: 0.039271
Line 480: Line 480:
POTE generator: ~77/72 = 115.9335
POTE generator: ~77/72 = 115.9335


Vals: {{Val list| 31, 145f, 176, 207, 383c, 590cc }}
Optimal GPV sequence: {{Val list| 31, 145f, 176, 207, 383c, 590cc }}


Badness: 0.045569
Badness: 0.045569
Line 493: Line 493:
POTE generator: ~77/72 = 115.8898
POTE generator: ~77/72 = 115.8898


Vals: {{Val list| 31f, 145, 176, 321ce }}
Optimal GPV sequence: {{Val list| 31f, 145, 176, 321ce }}


Badness: 0.053409
Badness: 0.053409
Line 506: Line 506:
POTE generator: ~343/320 = 115.9192
POTE generator: ~343/320 = 115.9192


Vals: {{Val list| 31, 114, 145e, 176e }}
Optimal GPV sequence: {{Val list| 31, 114, 145e, 176e }}


Badness: 0.064070
Badness: 0.064070
Line 519: Line 519:
POTE generator: ~273/256 = 115.8624
POTE generator: ~273/256 = 115.8624


Vals: {{Val list| 31, 83, 114, 145e }}
Optimal GPV sequence: {{Val list| 31, 83, 114, 145e }}


Badness: 0.057497
Badness: 0.057497
Line 547: Line 547:
POTE generator: ~7/6 = 264.849
POTE generator: ~7/6 = 264.849


Vals: {{Val list| 9, 59, 68, 77, 145e }}
Optimal GPV sequence: {{Val list| 9, 59, 68, 77, 145e }}


Badness: 0.061426
Badness: 0.061426
Line 560: Line 560:
POTE generator: ~7/6 = 264.861
POTE generator: ~7/6 = 264.861


Vals: {{Val list| 9, 68, 77, 145e, 222cef }}
Optimal GPV sequence: {{Val list| 9, 68, 77, 145e, 222cef }}


Badness: 0.034531
Badness: 0.034531
Line 588: Line 588:
POTE generator: ~3/2 = 700.6354 (or ~10/9 = 186.3497)
POTE generator: ~3/2 = 700.6354 (or ~10/9 = 186.3497)


Vals: {{Val list| 77, 84, 161 }}
Optimal GPV sequence: {{Val list| 77, 84, 161 }}


Badness: 0.081564
Badness: 0.081564
Line 601: Line 601:
POTE generator: ~3/2 = 700.6291 (or ~10/9 = 186.3434)
POTE generator: ~3/2 = 700.6291 (or ~10/9 = 186.3434)


Vals: {{Val list| 77, 84, 161 }}
Optimal GPV sequence: {{Val list| 77, 84, 161 }}


Badness: 0.041600
Badness: 0.041600
Line 614: Line 614:
POTE generator: ~3/2 = 700.6524 (or ~10/9 = 186.3667)
POTE generator: ~3/2 = 700.6524 (or ~10/9 = 186.3667)


Vals: {{Val list| 77, 161 }}
Optimal GPV sequence: {{Val list| 77, 161 }}


Badness: 0.031783
Badness: 0.031783
Line 627: Line 627:
POTE generator: ~3/2 = 700.6565 (or ~10/9 = 186.3708)
POTE generator: ~3/2 = 700.6565 (or ~10/9 = 186.3708)


Vals: {{Val list| 77, 161 }}
Optimal GPV sequence: {{Val list| 77, 161 }}


Badness: 0.022291
Badness: 0.022291
Line 645: Line 645:


[[Badness]]: 0.179692
[[Badness]]: 0.179692
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 1375/1372, 2560/2541, 4375/4356
Mapping: [{{val|1 12 5 4 -1}}, {{val|0 -35 -9 -4 15}}]
POTE generator: ~49/40 = 357.048
Optimal GPV sequence: {{Val list| 37, 84, 121, 326dee }}
Badness: 0.081923
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 364/363, 625/624, 640/637, 1375/1372
Mapping: [{{val|1 12 5 4 -1 4}}, {{val|0 -35 -9 -4 15 -1}}]
POTE generator: ~16/13 = 357.049
Optimal GPV sequence: {{Val list| 37, 84, 121, 326deef }}
Badness: 0.039533


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
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