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Breedsmic temperaments: Difference between revisions

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By adding [[243/242]] (which also means 441/440, 540/539 and 896/891) to the commas, hemififths extends to a less accurate 11-limit version, but one where 11/4 is only five generator steps. 99EDO is an excellent tuning; one which loses little of the accuracy of the 7-limit but improves the 11-limit a bit. Now adding [[144/143]] brings in the 13-limit with less accuracy yet, but with very low complexity, as the generator can be taken to be [[16/13]]. 99 remains a good tuning choice.
By adding [[243/242]] (which also means 441/440, 540/539 and 896/891) to the commas, hemififths extends to a less accurate 11-limit version, but one where 11/4 is only five generator steps. 99EDO is an excellent tuning; one which loses little of the accuracy of the 7-limit but improves the 11-limit a bit. Now adding [[144/143]] brings in the 13-limit with less accuracy yet, but with very low complexity, as the generator can be taken to be [[16/13]]. 99 remains a good tuning choice.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 58: Line 57:
POTE generator: ~11/9 = 351.521
POTE generator: ~11/9 = 351.521


Vals: {{Val list| 17c, 41, 58, 99e }}
Optimal GPV sequence: {{Val list| 17c, 41, 58, 99e }}


Badness: 0.023498
Badness: 0.023498
Line 71: Line 70:
POTE generator: ~11/9 = 351.573
POTE generator: ~11/9 = 351.573


Vals: {{Val list| 17c, 41, 58, 99ef, 157eff }}
Optimal GPV sequence: {{Val list| 17c, 41, 58, 99ef, 157eff }}


Badness: 0.019090
Badness: 0.019090
Line 84: Line 83:
POTE generator: ~49/40 = 351.505
POTE generator: ~49/40 = 351.505


Vals: {{Val list| 58, 140, 198 }}
Optimal GPV sequence: {{Val list| 58, 140, 198 }}


Badness: 0.042487
Badness: 0.042487
Line 97: Line 96:
POTE generator: ~49/40 = 351.502
POTE generator: ~49/40 = 351.502


Vals: {{Val list| 58, 140, 198, 536f }}
Optimal GPV sequence: {{Val list| 58, 140, 198, 536f }}


Badness: 0.021188
Badness: 0.021188
Line 112: Line 111:
POTE generator: ~243/220 = 175.7378
POTE generator: ~243/220 = 175.7378


Vals: {{Val list| 41, 157, 198, 239, 676b, 915be }}
Optimal GPV sequence: {{Val list| 41, 157, 198, 239, 676b, 915be }}


Badness: 0.040170
Badness: 0.040170
Line 125: Line 124:
POTE generator: ~72/65 = 175.7470
POTE generator: ~72/65 = 175.7470


Vals: {{Val list| 41, 157, 198, 437f, 635bcff }}
Optimal GPV sequence: {{Val list| 41, 157, 198, 437f, 635bcff }}


Badness: 0.031144
Badness: 0.031144
Line 133: Line 132:


Aside from the breedsma, tertiaseptal tempers out [[65625/65536]], the horwell comma, [[703125/702464]], the meter, and [[2100875/2097152]], the rainy comma. It can be described as the 31&171 temperament, and 256/245, 1029/1024 less than 21/20, serves as its generator. Three of these fall short of 8/7 by 2100875/2097152, and the generator can be taken as 1/3 of an 8/7 flattened by a fraction of a cent. [[171edo|171EDO]] makes for an excellent tuning. The 15 or 16 note MOS can be used to explore no-threes harmony, and the 31 note MOS gives plenty of room for those as well.
Aside from the breedsma, tertiaseptal tempers out [[65625/65536]], the horwell comma, [[703125/702464]], the meter, and [[2100875/2097152]], the rainy comma. It can be described as the 31&171 temperament, and 256/245, 1029/1024 less than 21/20, serves as its generator. Three of these fall short of 8/7 by 2100875/2097152, and the generator can be taken as 1/3 of an 8/7 flattened by a fraction of a cent. [[171edo|171EDO]] makes for an excellent tuning. The 15 or 16 note MOS can be used to explore no-threes harmony, and the 31 note MOS gives plenty of room for those as well.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 158: Line 156:
POTE generator: ~256/245 = 77.227
POTE generator: ~256/245 = 77.227


Vals: {{Val list| 31, 109e, 140e, 171, 202 }}
Optimal GPV sequence: {{Val list| 31, 109e, 140e, 171, 202 }}


Badness: 0.035576
Badness: 0.035576
Line 171: Line 169:
POTE generator: ~117/112 = 77.203
POTE generator: ~117/112 = 77.203


Vals: {{Val list| 31, 109e, 140e, 171 }}
Optimal GPV sequence: {{Val list| 31, 109e, 140e, 171 }}


Badness: 0.036876
Badness: 0.036876
Line 184: Line 182:
POTE generator: ~68/65 = 77.201
POTE generator: ~68/65 = 77.201


Vals: {{Val list| 31, 109eg, 140e, 171 }}
Optimal GPV sequence: {{Val list| 31, 109eg, 140e, 171 }}


Badness: 0.027398
Badness: 0.027398
Line 197: Line 195:
POTE generator: ~22/21 = 77.173
POTE generator: ~22/21 = 77.173


Vals: {{Val list| 31, 109, 140, 171e, 311e }}
Optimal GPV sequence: {{Val list| 31, 109, 140, 171e, 311e }}


Badness: 0.030171
Badness: 0.030171
Line 210: Line 208:
POTE generator: ~22/21 = 77.158
POTE generator: ~22/21 = 77.158


Vals: {{Val list| 31, 109, 140, 311e, 451ee }}
Optimal GPV sequence: {{Val list| 31, 109, 140, 311e, 451ee }}


Badness: 0.028384
Badness: 0.028384
Line 223: Line 221:
POTE generator: ~22/21 = 77.162
POTE generator: ~22/21 = 77.162


Vals: {{Val list| 31, 109g, 140, 311e, 451ee }}
Optimal GPV sequence: {{Val list| 31, 109g, 140, 311e, 451ee }}


Badness: 0.022416
Badness: 0.022416
Line 236: Line 234:
POTE generator: ~45/44 = 38.596
POTE generator: ~45/44 = 38.596


Vals: {{Val list| 31, 280, 311, 342 }}
Optimal GPV sequence: {{Val list| 31, 280, 311, 342 }}


Badness: 0.015633
Badness: 0.015633
Line 249: Line 247:
POTE generator: ~45/44 = 38.588
POTE generator: ~45/44 = 38.588


Vals: {{Val list| 31, 280, 311, 964f, 1275f, 1586cff }}
Optimal GPV sequence: {{Val list| 31, 280, 311, 964f, 1275f, 1586cff }}


Badness: 0.033573
Badness: 0.033573
Line 262: Line 260:
POTE generator: ~45/44 = 38.589
POTE generator: ~45/44 = 38.589


Vals: {{Val list| 31, 280, 311, 653f, 964f }}
Optimal GPV sequence: {{Val list| 31, 280, 311, 653f, 964f }}


Badness: 0.025298
Badness: 0.025298
Line 275: Line 273:


Similar comments apply to the 13-limit, where we can add 351/350 and 364/363 to the commas, with {{multival| 12 34 20 30 52 …}} as the octave wedgie. [[130edo|130EDO]] is again a good tuning choice, but even better might be tuning 7s justly, which can be done via a generator of 83.1174 cents. 72 notes of harry gives plenty of room even for the 13-limit harmonies.
Similar comments apply to the 13-limit, where we can add 351/350 and 364/363 to the commas, with {{multival| 12 34 20 30 52 …}} as the octave wedgie. [[130edo|130EDO]] is again a good tuning choice, but even better might be tuning 7s justly, which can be done via a generator of 83.1174 cents. 72 notes of harry gives plenty of room even for the 13-limit harmonies.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 300: Line 297:
POTE generator: ~21/20 = 83.167
POTE generator: ~21/20 = 83.167


Vals: {{Val list| 14c, 58, 72, 130, 202 }}
Optimal GPV sequence: {{Val list| 14c, 58, 72, 130, 202 }}


Badness: 0.015867
Badness: 0.015867
Line 313: Line 310:
POTE generator: ~21/20 = 83.116
POTE generator: ~21/20 = 83.116


Vals: {{Val list| 14cf, 58, 72, 130, 332f, 462ef }}
Optimal GPV sequence: {{Val list| 14cf, 58, 72, 130, 332f, 462ef }}


Badness: 0.013046
Badness: 0.013046
Line 326: Line 323:
POTE generator: ~21/20 = 83.168
POTE generator: ~21/20 = 83.168


Vals: {{Val list| 14cf, 58, 72, 130, 202g }}
Optimal GPV sequence: {{Val list| 14cf, 58, 72, 130, 202g }}


Badness: 0.012657
Badness: 0.012657
Line 334: Line 331:


Adding 3025/3024 extends to the 11-limit and gives {{multival| 38 -3 8 64 …}} for the initial wedgie, and as expected, 270 remains an excellent tuning.
Adding 3025/3024 extends to the 11-limit and gives {{multival| 38 -3 8 64 …}} for the initial wedgie, and as expected, 270 remains an excellent tuning.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 359: Line 355:
POTE generator: ~90/77 = 271.111
POTE generator: ~90/77 = 271.111


Vals: {{Val list| 31, 208, 239, 270 }}
Optimal GPV sequence: {{Val list| 31, 208, 239, 270 }}


Badness: 0.017540
Badness: 0.017540
Line 372: Line 368:
POTE generator: ~90/77 = 271.107
POTE generator: ~90/77 = 271.107


Vals: {{Val list| 31, 239, 270, 571, 841, 1111 }}
Optimal GPV sequence: {{Val list| 31, 239, 270, 571, 841, 1111 }}


Badness: 0.017921
Badness: 0.017921
Line 379: Line 375:
{{see also| Qintosec family #Decoid }}
{{see also| Qintosec family #Decoid }}


Decoid tempers out 2401/2400 and 67108864/66976875, as well as the [[15/14ths equal temperament|linus comma]], {{monzo| 11 -10 -10 10 }}. Either 8/7 or 16/15 can be used its generator. It may be described as the 130&270 temperament, and as one might expect, 181\940 or 233\1210 makes for an excellent tuning choice. It is also described as an extension of the [[Qintosec family|qintosec temperament]].
Decoid tempers out 2401/2400 and 67108864/66976875, as well as the [[15/14 equal-step tuning|linus comma]], {{monzo| 11 -10 -10 10 }}. Either 8/7 or 16/15 can be used its generator. It may be described as the 130&270 temperament, and as one might expect, 181\940 or 233\1210 makes for an excellent tuning choice. It is also described as an extension of the [[Qintosec family|qintosec temperament]].
 


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 407: Line 402:
POTE generator: ~16/15 = 111.070
POTE generator: ~16/15 = 111.070


Vals: {{Val list| 10e, 130, 270, 670, 940, 1210, 2150c }}
Optimal GPV sequence: {{Val list| 10e, 130, 270, 670, 940, 1210, 2150c }}


Badness: 0.018735
Badness: 0.018735
Line 420: Line 415:
POTE generator: ~16/15 = 111.083
POTE generator: ~16/15 = 111.083


Vals: {{Val list| 10e, 130, 270, 940, 1210f, 1480cf }}
Optimal GPV sequence: {{Val list| 10e, 130, 270, 940, 1210f, 1480cf }}


Badness: 0.013475
Badness: 0.013475
Line 450: Line 445:
POTE generator: ~33/28 = 283.276
POTE generator: ~33/28 = 283.276


Vals: {{Val list| 72, 161, 233, 305 }}
Optimal GPV sequence: {{Val list| 72, 161, 233, 305 }}


Badness: 0.027959
Badness: 0.027959
Line 463: Line 458:
POTE generator: ~13/11 = 283.294
POTE generator: ~13/11 = 283.294


Vals: {{Val list| 72, 161f, 233f }}
Optimal GPV sequence: {{Val list| 72, 161f, 233f }}


Badness: 0.026942
Badness: 0.026942
Line 493: Line 488:
POTE generator: ~1372/1089 = 392.991
POTE generator: ~1372/1089 = 392.991


Vals: {{Val list| 58, 113, 171 }}
Optimal GPV sequence: {{Val list| 58, 113, 171 }}


Badness: 0.052358
Badness: 0.052358
Line 506: Line 501:
POTE generator: ~180/143 = 392.989
POTE generator: ~180/143 = 392.989


Vals: {{Val list| 58, 113, 171 }}
Optimal GPV sequence: {{Val list| 58, 113, 171 }}


Badness: 0.026974
Badness: 0.026974
Line 519: Line 514:
POTE generator: ~64/51 = 392.985
POTE generator: ~64/51 = 392.985


Vals: {{Val list| 58, 113, 171 }}
Optimal GPV sequence: {{Val list| 58, 113, 171 }}


Badness: 0.023205
Badness: 0.023205
Line 566: Line 561:
POTE generator: ~14/11 = 416.718
POTE generator: ~14/11 = 416.718


Vals: {{Val list| 72, 167, 239, 311, 1316c }}
Optimal GPV sequence: {{Val list| 72, 167, 239, 311, 1316c }}


Badness: 0.022926
Badness: 0.022926
Line 579: Line 574:
POTE generator: ~14/11 = 416.716
POTE generator: ~14/11 = 416.716


Vals: {{Val list| 72, 311, 694, 1005c, 1699cd }}
Optimal GPV sequence: {{Val list| 72, 311, 694, 1005c, 1699cd }}


Badness: 0.020888
Badness: 0.020888
Line 609: Line 604:
POTE generator: ~49/40 = 351.115
POTE generator: ~49/40 = 351.115


Vals: {{Val list| 41, 188, 229, 270, 581, 851, 1121, 1972, 3093b, 4214b }}
Optimal GPV sequence: {{Val list| 41, 188, 229, 270, 581, 851, 1121, 1972, 3093b, 4214b }}


Badness: 0.019461
Badness: 0.019461
Line 622: Line 617:
POTE generator: ~49/40 = 351.117
POTE generator: ~49/40 = 351.117


Vals: {{Val list| 41, 229, 270, 581, 851, 2283b, 3134b }}
Optimal GPV sequence: {{Val list| 41, 229, 270, 581, 851, 2283b, 3134b }}


Badness: 0.013830
Badness: 0.013830
Line 632: Line 627:


While it extends well into 2.3.5.7.13/11, there are multiple reasonable places for the prime 11 and 13 in the interval chain. Amical (311 & 410) does this with no compromise of accuracy, but is enormously complex. Amorous (212 & 311) has the new primes placed on the same side of the interval chain so blends smarter with the other harmonics. Pseudoamical (99 & 113) and pseudoamorous (14cf & 99ef) are the corresponding low-complexity interpretations. Floral (198 & 212) shares the semioctave period and the ~21/20 generator with harry, but in a complementary style, including a characteristic flat 11. Finally, humorous (198 & 311) is one of the best extensions out there and it splits the generator in two.  
While it extends well into 2.3.5.7.13/11, there are multiple reasonable places for the prime 11 and 13 in the interval chain. Amical (311 & 410) does this with no compromise of accuracy, but is enormously complex. Amorous (212 & 311) has the new primes placed on the same side of the interval chain so blends smarter with the other harmonics. Pseudoamical (99 & 113) and pseudoamorous (14cf & 99ef) are the corresponding low-complexity interpretations. Floral (198 & 212) shares the semioctave period and the ~21/20 generator with harry, but in a complementary style, including a characteristic flat 11. Finally, humorous (198 & 311) is one of the best extensions out there and it splits the generator in two.  


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 657: Line 651:
POTE generator: ~21/20 = 84.8843
POTE generator: ~21/20 = 84.8843


Vals: {{val list| 99, 212e, 311, 410, 721, 1032, 1343 }}
Optimal GPV sequence: {{val list| 99, 212e, 311, 410, 721, 1032, 1343 }}


Badness: 0.101
Badness: 0.100668


==== 13-limit ====
==== 13-limit ====
Line 670: Line 664:
POTE generator: ~21/20 = 84.8838
POTE generator: ~21/20 = 84.8838


Vals: {{val list| 99, 212ef, 311, 410, 721, 1032 }}
Optimal GPV sequence: {{val list| 99, 212ef, 311, 410, 721, 1032 }}


Badness: 0.0499
Badness: 0.049893


=== Amorous ===
=== Amorous ===
Line 683: Line 677:
POTE generator: ~21/20 = 84.8896
POTE generator: ~21/20 = 84.8896


Vals: {{val list| 99e, 212, 311, 1145c, 1456cd }}
Optimal GPV sequence: {{val list| 99e, 212, 311, 1145c, 1456cd }}


Badness: 0.0489
Badness: 0.048924


==== 13-limit ====
==== 13-limit ====
Line 696: Line 690:
POTE generator: ~21/20 = 84.8910
POTE generator: ~21/20 = 84.8910


Vals: {{val list| 99ef, 212, 311, 834, 1145c }}
Optimal GPV sequence: {{val list| 99ef, 212, 311, 834, 1145c }}


Badness: 0.0347
Badness: 0.034681


=== Pseudoamical ===
=== Pseudoamical ===
Line 709: Line 703:
POTE generator: ~21/20 = 84.9091
POTE generator: ~21/20 = 84.9091


Vals: {{val list| 99, 113, 212, 961ccdeee }}
Optimal GPV sequence: {{val list| 99, 113, 212, 961ccdeee }}


Badness: 0.0858
Badness: 0.085837


==== 13-limit ====
==== 13-limit ====
Line 722: Line 716:
POTE generator: ~21/20 = 84.9127
POTE generator: ~21/20 = 84.9127


Vals: {{val list| 99, 113, 212, 537cdeff, 749ccdeefff }}
Optimal GPV sequence: {{val list| 99, 113, 212, 537cdeff, 749ccdeefff }}


Badness: 0.0470
Badness: 0.047025


=== Pseudoamorous ===
=== Pseudoamorous ===
Line 735: Line 729:
POTE generator: ~21/20 = 84.8917
POTE generator: ~21/20 = 84.8917


Vals: {{val list| 99e, 212e }}
Optimal GPV sequence: {{val list| 99e, 212e }}


Badness: 0.0566
Badness: 0.056583


==== 13-limit ====
==== 13-limit ====
Line 748: Line 742:
POTE generator: ~21/20 = 84.9164
POTE generator: ~21/20 = 84.9164


Vals: {{val list| 99ef, 113, 212ef }}
Optimal GPV sequence: {{val list| 99ef, 113, 212ef }}


Badness: 0.0428
Badness: 0.042826


=== Floral ===
=== Floral ===
Line 761: Line 755:
POTE generator: ~21/20 = 84.8788
POTE generator: ~21/20 = 84.8788


Vals: {{val list| 198, 212, 410 }}
Optimal GPV sequence: {{val list| 198, 212, 410 }}


Badness: 0.0651
Badness: 0.065110


==== 13-limit ====
==== 13-limit ====
Line 774: Line 768:
POTE generator: ~21/20 = 84.8750
POTE generator: ~21/20 = 84.8750


Vals: {{val list| 198, 410 }}
Optimal GPV sequence: {{val list| 198, 410 }}


Badness: 0.0370
Badness: 0.037013


=== Humorous ===
=== Humorous ===
Line 787: Line 781:
POTE generator: ~4096/3993 = 42.4391
POTE generator: ~4096/3993 = 42.4391


Vals: {{val list| 85c, 113, 198, 311, 509, 820 }}
Optimal GPV sequence: {{val list| 85c, 113, 198, 311, 509, 820 }}


Badness: 0.0582
Badness: 0.058249


==== 13-limit ====
==== 13-limit ====
Line 800: Line 794:
POTE generator: ~40/39 = 42.4391
POTE generator: ~40/39 = 42.4391


Vals: {{val list| 85c, 113, 198, 311, 509, 820f }}
Optimal GPV sequence: {{val list| 85c, 113, 198, 311, 509, 820f }}


Badness: 0.0283
Badness: 0.028267


== Septidiasemi ==
== Septidiasemi ==
{{Main| Septidiasemi }}
{{Main| Septidiasemi }}
Aside from 2401/2400, [[septidiasemi]] tempers out 2152828125/2147483648 in the 7-limit. It is so named because the generator is a "septimal diatonic semitone" (0.15 cents flat of [[15/14]]). It is an excellent tuning for 2.3.5.7.13 and 2.3.5.7.13.17 subgroups rather than full 13- and 17-limit.
Aside from 2401/2400, [[septidiasemi]] tempers out 2152828125/2147483648 in the 7-limit. It is so named because the generator is a "septimal diatonic semitone" (0.15 cents flat of [[15/14]]). It is an excellent tuning for 2.3.5.7.13 and 2.3.5.7.13.17 subgroups rather than full 13- and 17-limit.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 834: Line 828:
POTE generator: ~15/14 = 119.279
POTE generator: ~15/14 = 119.279


Vals: {{Val list| 10, 151, 161, 171, 332 }}
Optimal GPV sequence: {{Val list| 10, 151, 161, 171, 332 }}


Badness: 0.090687
Badness: 0.090687
Line 847: Line 841:
POTE generator: ~15/14 = 119.281
POTE generator: ~15/14 = 119.281


Vals: {{Val list| 10, 151, 161, 171, 332, 835eeff }}
Optimal GPV sequence: {{Val list| 10, 151, 161, 171, 332, 835eeff }}


Badness: 0.045773
Badness: 0.045773
Line 860: Line 854:
POTE generator: ~15/14 = 119.281
POTE generator: ~15/14 = 119.281


Vals: {{Val list| 10, 151, 161, 171, 332, 503ef, 835eeff }}
Optimal GPV sequence: {{Val list| 10, 151, 161, 171, 332, 503ef, 835eeff }}


Badness: 0.027322
Badness: 0.027322
Line 939: Line 933:
POTE generator: ~8/7 = 227.500
POTE generator: ~8/7 = 227.500


Vals: {{Val list| 21, 37, 58, 153bce, 211bccdee, 269bccdee }}
Optimal GPV sequence: {{Val list| 21, 37, 58, 153bce, 211bccdee, 269bccdee }}


Badness: 0.059260
Badness: 0.059260
Line 952: Line 946:
POTE generator: ~8/7 = 227.493
POTE generator: ~8/7 = 227.493


Vals: {{Val list| 21, 37, 58, 153bcef, 211bccdeeff }}
Optimal GPV sequence: {{Val list| 21, 37, 58, 153bcef, 211bccdeeff }}


Badness: 0.032205
Badness: 0.032205
Line 980: Line 974:
POTE generator: ~100/77 = 454.318
POTE generator: ~100/77 = 454.318


Vals: {{Val list| 37, 103, 140, 243e }}
Optimal GPV sequence: {{Val list| 37, 103, 140, 243e }}


Badness: 0.056514
Badness: 0.056514
Line 993: Line 987:
POTE generator: ~13/10 = 454.316
POTE generator: ~13/10 = 454.316


Vals: {{Val list| 37, 103, 140, 243e }}
Optimal GPV sequence: {{Val list| 37, 103, 140, 243e }}


Badness: 0.027429
Badness: 0.027429
Line 999: Line 993:
== Mintone ==
== Mintone ==
In addition to 2401/2400, mintone tempers out 177147/175000 = {{monzo|-3 11 -5 -1}} in the 7-limit; 243/242, 441/440, and 43923/43750 in the 11-limit. It has a generator tuned around 49/44. It may be described as the 58&103 temperament, and as one might expect, 25\161 makes for an excellent tuning choice.
In addition to 2401/2400, mintone tempers out 177147/175000 = {{monzo|-3 11 -5 -1}} in the 7-limit; 243/242, 441/440, and 43923/43750 in the 11-limit. It has a generator tuned around 49/44. It may be described as the 58&103 temperament, and as one might expect, 25\161 makes for an excellent tuning choice.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 1,024: Line 1,017:
POTE generator: ~10/9 = 186.345
POTE generator: ~10/9 = 186.345


Vals: {{Val list| 58, 103, 161, 425b, 586b, 747bc }}
Optimal GPV sequence: {{Val list| 58, 103, 161, 425b, 586b, 747bc }}


Badness: 0.039962
Badness: 0.039962
Line 1,037: Line 1,030:
POTE generator: ~10/9 = 186.347
POTE generator: ~10/9 = 186.347


Vals: {{Val list| 58, 103, 161, 425b, 586bf }}
Optimal GPV sequence: {{Val list| 58, 103, 161, 425b, 586bf }}


Badness: 0.021849
Badness: 0.021849
Line 1,050: Line 1,043:
POTE generator: ~10/9 = 186.348
POTE generator: ~10/9 = 186.348


Vals: {{Val list| 58, 103, 161, 425b, 586bf }}
Optimal GPV sequence: {{Val list| 58, 103, 161, 425b, 586bf }}


Badness: 0.020295
Badness: 0.020295
Line 1,080: Line 1,073:
POTE generator: ~250/189 = 489.252
POTE generator: ~250/189 = 489.252


Vals: {{Val list| 103, 130, 233, 363, 493e, 856be }}
Optimal GPV sequence: {{Val list| 103, 130, 233, 363, 493e, 856be }}


Badness: 0.036785
Badness: 0.036785
Line 1,093: Line 1,086:
POTE generator: ~65/49 = 489.256
POTE generator: ~65/49 = 489.256


Vals: {{Val list| 103, 130, 233, 363 }}
Optimal GPV sequence: {{Val list| 103, 130, 233, 363 }}


Badness: 0.021694
Badness: 0.021694
Line 1,121: Line 1,114:
POTE generator: ~7/5 = 583.387
POTE generator: ~7/5 = 583.387


Vals: {{Val list| 35, 37, 72, 109, 181, 253 }}
Optimal GPV sequence: {{Val list| 35, 37, 72, 109, 181, 253 }}


Badness: 0.032225
Badness: 0.032225
Line 1,134: Line 1,127:
POTE generator: ~7/5 = 583.387
POTE generator: ~7/5 = 583.387


Vals: {{Val list| 37, 72, 109, 181f }}
Optimal GPV sequence: {{Val list| 37, 72, 109, 181f }}


Badness: 0.028683
Badness: 0.028683
Line 1,162: Line 1,155:
POTE generator: ~11/9 = 348.639
POTE generator: ~11/9 = 348.639


Vals: {{Val list| 31, 86ce, 117ce, 148bce }}
Optimal GPV sequence: {{Val list| 31, 86ce, 117ce, 148bce }}


Badness: 0.046181
Badness: 0.046181
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