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Kleismic family: Difference between revisions

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Line 45: Line 45:
POTE generator: ~6/5 = 317.0756
POTE generator: ~6/5 = 317.0756


Vals: {{Val list| 15, 19, 34, 53, 140, 193, 246 }}
Optimal GPV sequence: {{Val list| 15, 19, 34, 53, 140, 193, 246 }}


Badness: 0.394
Badness: 0.394
Line 87: Line 87:
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 320.000]
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 320.000]


Vals: {{Val list| 4, 15, 19, 34 }}
Optimal GPV sequence: {{Val list| 4, 15, 19, 34 }}


Badness: 0.027410
Badness: 0.027410
Line 105: Line 105:
* 13- and 15-odd-limit diamond monotone and tradeoff: ~6/5 = 315.789
* 13- and 15-odd-limit diamond monotone and tradeoff: ~6/5 = 315.789


Vals: {{Val list| 4, 15f, 19, 53def, 72def }}
Optimal GPV sequence: {{Val list| 4, 15f, 19, 53def, 72def }}


Badness: 0.029749
Badness: 0.029749
Line 125: Line 125:
* 15-odd-limit diamond monotone and tradeoff: ~6/5 = 315.789
* 15-odd-limit diamond monotone and tradeoff: ~6/5 = 315.789


Vals: {{Val list| 15, 19, 34, 87ddee }}
Optimal GPV sequence: {{Val list| 15, 19, 34, 87ddee }}


Badness: 0.022749
Badness: 0.022749
Line 138: Line 138:
POTE generator: ~6/5 = 318.595
POTE generator: ~6/5 = 318.595


Vals: {{Val list| 4, 15, 19f, 34ff }}
Optimal GPV sequence: {{Val list| 4, 15, 19f, 34ff }}


Badness: 0.031633
Badness: 0.031633
Line 151: Line 151:
POTE generator: ~6/5 = 314.730
POTE generator: ~6/5 = 314.730


Vals: {{Val list| 4e, 19, 42bcd, 61bcdd }}
Optimal GPV sequence: {{Val list| 4e, 19, 42bcd, 61bcdd }}


Badness: 0.040056
Badness: 0.040056
Line 164: Line 164:
POTE generator: ~6/5 = 315.044
POTE generator: ~6/5 = 315.044


Vals: {{Val list| 4ef, 19 }}
Optimal GPV sequence: {{Val list| 4ef, 19 }}


Badness: 0.029419
Badness: 0.029419
Line 177: Line 177:
POTE generator: ~6/5 = 317.656
POTE generator: ~6/5 = 317.656


Vals: {{Val list| 15, 19e, 34e }}
Optimal GPV sequence: {{Val list| 15, 19e, 34e }}


Badness: 0.027648
Badness: 0.027648
Line 190: Line 190:
POTE generator: ~6/5 = 317.298
POTE generator: ~6/5 = 317.298


Vals: {{Val list| 15, 19e, 34e, 53dee }}
Optimal GPV sequence: {{Val list| 15, 19e, 34e, 53dee }}


Badness: 0.021445
Badness: 0.021445
Line 228: Line 228:
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [317.647, 320.000]
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [317.647, 320.000]


Vals: {{Val list| 15, 34d, 49 }}
Optimal GPV sequence: {{Val list| 15, 34d, 49 }}


Badness: 0.036894
Badness: 0.036894
Line 268: Line 268:
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 316.981]
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 316.981]


Vals: {{Val list| 19, 34de, 53, 72, 197e, 269ce, 341ce, 610bccee }}
Optimal GPV sequence: {{Val list| 19, 34de, 53, 72, 197e, 269ce, 341ce, 610bccee }}


Badness: 0.021849
Badness: 0.021849
Line 286: Line 286:
* 13- and 15-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 316.981]
* 13- and 15-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 316.981]


Vals: {{Val list| 19, 34de, 53, 72, 125f, 197ef, 269cef }}
Optimal GPV sequence: {{Val list| 19, 34de, 53, 72, 125f, 197ef, 269cef }}


Badness: 0.016883
Badness: 0.016883
Line 299: Line 299:
POTE generator: ~6/5 = 317.042
POTE generator: ~6/5 = 317.042


Vals: {{Val list| 19e, 34d, 53 }}
Optimal GPV sequence: {{Val list| 19e, 34d, 53 }}


Badness: 0.039954
Badness: 0.039954
Line 312: Line 312:
POTE generator: ~6/5 = 317.036
POTE generator: ~6/5 = 317.036


Vals: {{Val list| 19e, 34d, 53 }}
Optimal GPV sequence: {{Val list| 19e, 34d, 53 }}


Badness: 0.022555
Badness: 0.022555
Line 325: Line 325:
POTE generator: ~6/5 = 316.653
POTE generator: ~6/5 = 316.653


Vals: {{Val list| 19e, 53e, 72 }}
Optimal GPV sequence: {{Val list| 19e, 53e, 72 }}


Badness: 0.030422
Badness: 0.030422
Line 338: Line 338:
POTE generator: ~6/5 = 316.639
POTE generator: ~6/5 = 316.639


Vals: {{Val list| 19e, 53e, 72 }}
Optimal GPV sequence: {{Val list| 19e, 53e, 72 }}


Badness: 0.022337
Badness: 0.022337
Line 351: Line 351:
POTE generator: ~6/5 = 317.083
POTE generator: ~6/5 = 317.083


Vals: {{Val list| 19, 34d, 53e }}
Optimal GPV sequence: {{Val list| 19, 34d, 53e }}


Badness: 0.044335
Badness: 0.044335
Line 364: Line 364:
POTE generator: ~6/5 = 317.118
POTE generator: ~6/5 = 317.118


Vals: {{Val list| 19, 34d, 53e, 87dee }}
Optimal GPV sequence: {{Val list| 19, 34d, 53e, 87dee }}


Badness: 0.027343
Badness: 0.027343
Line 377: Line 377:
POTE generator: ~6/5 = 316.721
POTE generator: ~6/5 = 316.721


Vals: {{Val list| 34d, 72, 322c, …, 610bcc }}
Optimal GPV sequence: {{Val list| 34d, 72, 322c, …, 610bcc }}


Badness: 0.029319
Badness: 0.029319
Line 390: Line 390:
POTE generator: ~6/5 = 316.726
POTE generator: ~6/5 = 316.726


Vals: {{Val list| 34d, 72 }}
Optimal GPV sequence: {{Val list| 34d, 72 }}


Badness: 0.021814
Badness: 0.021814
Line 428: Line 428:
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [316.981, 317.370]
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [316.981, 317.370]


Vals: {{Val list| 34, 53, 87, 140, 227, 367e, 507e }}
Optimal GPV sequence: {{Val list| 34, 53, 87, 140, 227, 367e, 507e }}


Badness: 0.039770
Badness: 0.039770
Line 448: Line 448:
* 15-odd-limit diamond monotone and tradeoff: ~6/5 = [316.981, 317.241]
* 15-odd-limit diamond monotone and tradeoff: ~6/5 = [316.981, 317.241]


Vals: {{Val list| 34, 53, 87, 140, 367e, 507e }}
Optimal GPV sequence: {{Val list| 34, 53, 87, 140, 367e, 507e }}


Badness: 0.020156
Badness: 0.020156
Line 476: Line 476:
POTE generator: ~6/5 = 317.311
POTE generator: ~6/5 = 317.311


Vals: {{Val list| 34d, 53d, 87, 121, 208 }}
Optimal GPV sequence: {{Val list| 34d, 53d, 87, 121, 208 }}


Badness: 0.048570
Badness: 0.048570
Line 489: Line 489:
POTE generator: ~6/5 = 317.311
POTE generator: ~6/5 = 317.311


Vals: {{Val list| 34d, 53d, 87, 121, 208 }}
Optimal GPV sequence: {{Val list| 34d, 53d, 87, 121, 208 }}


Badness: 0.024371
Badness: 0.024371
Line 517: Line 517:
POTE generator: ~11/10 = 158.677
POTE generator: ~11/10 = 158.677


Vals: {{Val list| 15, 38, 53, 68, 121e }}
Optimal GPV sequence: {{Val list| 15, 38, 53, 68, 121e }}


Badness: 0.038023
Badness: 0.038023
Line 530: Line 530:
Mapping: [{{val| 1 0 1 4 2 0 }}, {{val| 0 12 10 -9 11 28 }}]
Mapping: [{{val| 1 0 1 4 2 0 }}, {{val| 0 12 10 -9 11 28 }}]


Vals: {{Val list| 15, 38f, 53, 121e }}
Optimal GPV sequence: {{Val list| 15, 38f, 53, 121e }}


Badness: 0.026005
Badness: 0.026005
Line 567: Line 567:
POTE generator: ~9/7 = 441.355
POTE generator: ~9/7 = 441.355


Vals: {{Val list| 19, 49e, 68, 87, 329bd, 419bd, 503bd, 590bd }}
Optimal GPV sequence: {{Val list| 19, 49e, 68, 87, 329bd, 419bd, 503bd, 590bd }}


Badness: 0.047417
Badness: 0.047417
Line 575: Line 575:


Comma list: 196/195, 245/243, 385/384, 625/624
Comma list: 196/195, 245/243, 385/384, 625/624
Mapping: [{{val| 1 6 6 12 -5 14 }}, {{val| 0 -12 -10 -25 23 -28 }}]


POTE generator: ~9/7 = 441.363
POTE generator: ~9/7 = 441.363


Mapping: [{{val| 1 6 6 12 -5 14 }}, {{val| 0 -12 -10 -25 23 -28 }}]
Optimal GPV sequence: {{Val list| 19, 49ef, 68, 87, 503bdf, 590bdf }}
 
{{Val list| 19, 49ef, 68, 87, 503bdf, 590bdf }}


Badness: 0.026842
Badness: 0.026842
Line 625: Line 625:
: Eigenmonzos (unchanged intervals): 2, 9/7
: Eigenmonzos (unchanged intervals): 2, 9/7


Vals: {{Val list| 15, 42bc, 57, 72, 159, 231 }}
Optimal GPV sequence: {{Val list| 15, 42bc, 57, 72, 159, 231 }}


Badness: 0.019333
Badness: 0.019333
Line 640: Line 640:
POTE generator: ~6/5 = 316.9585
POTE generator: ~6/5 = 316.9585


Vals: {{Val list| 72, 87, 159 }}
Optimal GPV sequence: {{Val list| 72, 87, 159 }}


Badness: 0.015652
Badness: 0.015652
Line 655: Line 655:
POTE generator: ~6/5 = 316.9082
POTE generator: ~6/5 = 316.9082


Vals: {{Val list| 72, 159, 231f }}
Optimal GPV sequence: {{Val list| 72, 159, 231f }}


Badness: 0.013551
Badness: 0.013551
Line 683: Line 683:
POTE generator: ~6/5 = 316.9247
POTE generator: ~6/5 = 316.9247


Vals: {{Val list| 68, 72, 140, 212, 284, 496ce, 780ccdee }}
Optimal GPV sequence: {{Val list| 68, 72, 140, 212, 284, 496ce, 780ccdee }}


Badness: 0.023406
Badness: 0.023406
Line 696: Line 696:
POTE generator: ~6/5 = 316.9887
POTE generator: ~6/5 = 316.9887


Vals: {{Val list| 68, 72, 140, 212 }}
Optimal GPV sequence: {{Val list| 68, 72, 140, 212 }}


Badness: 0.018731
Badness: 0.018731
Line 724: Line 724:
POTE generator: ~25/21 = 294.181
POTE generator: ~25/21 = 294.181


Vals: {{Val list| 49, 53, 102d, 155d }}
Optimal GPV sequence: {{Val list| 49, 53, 102d, 155d }}


Badness: 0.052805
Badness: 0.052805
Line 737: Line 737:
POTE generator: ~13/11 = 294.187
POTE generator: ~13/11 = 294.187


Vals: {{Val list| 49f, 53, 102df, 155d }}
Optimal GPV sequence: {{Val list| 49f, 53, 102df, 155d }}


Badness: 0.031074
Badness: 0.031074
Line 767: Line 767:
POTE generator: ~75/56 = 505.684
POTE generator: ~75/56 = 505.684


Vals: {{Val list| 19, 140, 159, 299 }}
Optimal GPV sequence: {{Val list| 19, 140, 159, 299 }}


Badness: 0.058902
Badness: 0.058902
Line 780: Line 780:
POTE generator: ~75/56 = 505.686
POTE generator: ~75/56 = 505.686


Vals: {{Val list|19, 140, 159, 299 }}
Optimal GPV sequence: {{Val list|19, 140, 159, 299 }}


Badness: 0.030082
Badness: 0.030082
Line 795: Line 795:
POTE generator: ~75/56 = 505.740
POTE generator: ~75/56 = 505.740


Vals: {{Val list|19e, 121, 140, 261, 401, 662bd }}
Optimal GPV sequence: {{Val list|19e, 121, 140, 261, 401, 662bd }}


Badness: 0.061172
Badness: 0.061172
Line 808: Line 808:
POTE generator: ~75/56 = 505.740
POTE generator: ~75/56 = 505.740


Vals: {{Val list| 19e, 121, 140, 261, 401, 662bd }}
Optimal GPV sequence: {{Val list| 19e, 121, 140, 261, 401, 662bd }}


Badness: 0.028671
Badness: 0.028671
Line 823: Line 823:
POTE generator: ~75/56 = 505.769
POTE generator: ~75/56 = 505.769


Vals: {{Val list| 19, 102d, 121 }}
Optimal GPV sequence: {{Val list| 19, 102d, 121 }}


Badness: 0.075112
Badness: 0.075112
Line 836: Line 836:
POTE generator: ~75/56 = 505.771
POTE generator: ~75/56 = 505.771


Vals: {{Val list| 19, 121 }}
Optimal GPV sequence: {{Val list| 19, 121 }}


Badness: 0.038317
Badness: 0.038317
Line 866: Line 866:
POTE generator: ~56/45 = 379.257
POTE generator: ~56/45 = 379.257


Vals: {{Val list| 19e, 193, 212, 405, 617c, 1022cce }}
Optimal GPV sequence: {{Val list| 19e, 193, 212, 405, 617c, 1022cce }}


Badness: 0.075624
Badness: 0.075624
Line 879: Line 879:
POTE generator: ~56/45 = 379.256
POTE generator: ~56/45 = 379.256


Vals: {{Val list| 19e, 193, 212, 405f, 617cff }}
Optimal GPV sequence: {{Val list| 19e, 193, 212, 405f, 617cff }}


Badness: 0.043728
Badness: 0.043728
Line 907: Line 907:
POTE generator: ~6/5 = 317.010
POTE generator: ~6/5 = 317.010


Vals: {{Val list| 72, 261, 333, 405, 882c }}
Optimal GPV sequence: {{Val list| 72, 261, 333, 405, 882c }}


Badness: 0.051730
Badness: 0.051730
Line 920: Line 920:
POTE generator: ~6/5 = 317.086
POTE generator: ~6/5 = 317.086


Vals: {{Val list| 72, 261, 333, 738cf, 1071bcff }}
Optimal GPV sequence: {{Val list| 72, 261, 333, 738cf, 1071bcff }}


Badness: 0.039072
Badness: 0.039072
Line 948: Line 948:
POTE generator: ~14/11 = 416.604
POTE generator: ~14/11 = 416.604


Vals: {{Val list| 49, 72, 193, 265 }}
Optimal GPV sequence: {{Val list| 49, 72, 193, 265 }}


Badness: 0.025515
Badness: 0.025515
Line 961: Line 961:
POTE generator: ~14/11 = 416.585
POTE generator: ~14/11 = 416.585


Vals: {{Val list| 72, 121, 193 }}
Optimal GPV sequence: {{Val list| 72, 121, 193 }}


Badness: 0.020040
Badness: 0.020040
Line 974: Line 974:
POTE generator: ~14/11 = 416.585
POTE generator: ~14/11 = 416.585


Vals: {{Val list| 72, 121, 193 }}
Optimal GPV sequence: {{Val list| 72, 121, 193 }}


Badness: 0.013028
Badness: 0.013028
Line 987: Line 987:
POTE generator: ~14/11 = 416.580
POTE generator: ~14/11 = 416.580


Vals: {{Val list| 72, 121, 193 }}
Optimal GPV sequence: {{Val list| 72, 121, 193 }}


Badness: 0.014748
Badness: 0.014748
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