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Schismatic family: Difference between revisions

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* 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.887, 702.439]
* 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.887, 702.439]


Vals: {{Val list| 41, 53, 94, 229c, 323c, 417ce }}
Optimal GPV sequence: {{Val list| 41, 53, 94, 229c, 323c, 417ce }}


Badness: 0.027396
Badness: 0.027396
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* 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [701.887, 702.439]
* 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [701.887, 702.439]


Vals: {{Val list| 41, 53, 94, 429cdef, 523cdef }}
Optimal GPV sequence: {{Val list| 41, 53, 94, 429cdef, 523cdef }}


Badness: 0.020676
Badness: 0.020676
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* 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.711, 703.448]
* 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.711, 703.448]


Vals: {{Val list| 12, 29, 41, 217ce, 258ce }}
Optimal GPV sequence: {{Val list| 12, 29, 41, 217ce, 258ce }}


Badness: 0.023556
Badness: 0.023556
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* 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [702.439, 703.448]
* 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [702.439, 703.448]


Vals: {{Val list| 12f, 29, 41, 152cdf, 193cdf, 234cdf }}
Optimal GPV sequence: {{Val list| 12f, 29, 41, 152cdf, 193cdf, 234cdf }}


Badness: 0.020749
Badness: 0.020749
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: Eigenmonzos (unchanged intervals): 2, 11/9
: Eigenmonzos (unchanged intervals): 2, 11/9


Vals: {{Val list| 12, 41e, 53, 118d, 171de }}
Optimal GPV sequence: {{Val list| 12, 41e, 53, 118d, 171de }}


Badness: 0.035637
Badness: 0.035637
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: Eigenmonzos (unchanged intervals): 2, 11/9
: Eigenmonzos (unchanged intervals): 2, 11/9


Vals: {{Val list| 12f, 41ef, 53, 118d, 171de }}
Optimal GPV sequence: {{Val list| 12f, 41ef, 53, 118d, 171de }}


Badness: 0.026284
Badness: 0.026284
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POTE generator: ~63/55 = 248.918
POTE generator: ~63/55 = 248.918


Vals: {{Val list| 29, 53, 82e, 135e, 188ce }}
Optimal GPV sequence: {{Val list| 29, 53, 82e, 135e, 188ce }}


Badness: 0.050681
Badness: 0.050681
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POTE generator: ~15/13 = 248.918
POTE generator: ~15/13 = 248.918


Vals: {{Val list| 29, 53, 82e, 135ef, 188cef }}
Optimal GPV sequence: {{Val list| 29, 53, 82e, 135ef, 188cef }}


Badness: 0.027464
Badness: 0.027464
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POTE generator: ~11/10 = 165.974
POTE generator: ~11/10 = 165.974


Vals: {{Val list| 29, 65d, 94, 441cde, 535cde, 629cde }}
Optimal GPV sequence: {{Val list| 29, 65d, 94, 441cde, 535cde, 629cde }}


Badness: 0.058040
Badness: 0.058040
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POTE generator: ~11/10 = 165.963
POTE generator: ~11/10 = 165.963


Vals: {{Val list| 29, 65d, 94 }}
Optimal GPV sequence: {{Val list| 29, 65d, 94 }}


Badness: 0.033849
Badness: 0.033849
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POTE generator ~3/2 = 702.136
POTE generator ~3/2 = 702.136


Vals: {{Val list| 12, 29de, 41de }}
Optimal GPV sequence: {{Val list| 12, 29de, 41de }}


Badness: 0.037482
Badness: 0.037482
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: Eigenmonzos (unchanged intervals): 2, 14/11
: Eigenmonzos (unchanged intervals): 2, 14/11


Vals: {{Val list| 53, 118, 289e, 407de }}
Optimal GPV sequence: {{Val list| 53, 118, 289e, 407de }}


Badness: 0.038863
Badness: 0.038863
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: Eigenmonzos (unchanged intervals): 2, 14/13
: Eigenmonzos (unchanged intervals): 2, 14/13


Vals: {{Val list| 53, 118, 171e }}
Optimal GPV sequence: {{Val list| 53, 118, 171e }}


Badness: 0.033677
Badness: 0.033677
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: Eigenmonzos (unchanged intervals): 2, 17/13
: Eigenmonzos (unchanged intervals): 2, 17/13


Vals: {{Val list| 53, 118, 171e, 289ef, 460eef }}
Optimal GPV sequence: {{Val list| 53, 118, 171e, 289ef, 460eef }}


Badness: 0.028891
Badness: 0.028891
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: Eigenmonzos (unchanged intervals): 2, 14/11
: Eigenmonzos (unchanged intervals): 2, 14/11


Vals: {{Val list| 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee }}
Optimal GPV sequence: {{Val list| 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee }}


Badness: 0.048692
Badness: 0.048692
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: Eigenmonzos (unchanged intervals): 2, 14/11
: Eigenmonzos (unchanged intervals): 2, 14/11


Vals: {{Val list| 53, 171, 224 }}
Optimal GPV sequence: {{Val list| 53, 171, 224 }}


Badness: 0.023616
Badness: 0.023616
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: Eigenmonzos (unchanged intervals): 2, 22/17
: Eigenmonzos (unchanged intervals): 2, 22/17


Vals: {{Val list| 53, 171, 224, 395e, 619eg }}
Optimal GPV sequence: {{Val list| 53, 171, 224, 395e, 619eg }}


Badness: 0.022853
Badness: 0.022853
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: Eigenmonzos (unchanged intervals): 2, 11/8
: Eigenmonzos (unchanged intervals): 2, 11/8


Vals: {{Val list| 53e, 118, 289, 407d, 696d }}
Optimal GPV sequence: {{Val list| 53e, 118, 289, 407d, 696d }}


Badness: 0.049573
Badness: 0.049573
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: Eigenmonzos (unchanged intervals): 2, 13/11
: Eigenmonzos (unchanged intervals): 2, 13/11


Vals: {{Val list| 53e, 118, 171, 289f, 460ef }}
Optimal GPV sequence: {{Val list| 53e, 118, 171, 289f, 460ef }}


Badness: 0.045308
Badness: 0.045308


==== 17-limit ====
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


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: Eigenmonzos (unchanged intervals): 2, 13/11
: Eigenmonzos (unchanged intervals): 2, 13/11


Vals: {{Val list| 53e, 118, 171, 289f, 460ef }}
Optimal GPV sequence: {{Val list| 53e, 118, 171, 289f, 460ef }}


Badness: 0.029618
Badness: 0.029618
==== Pontoid ====
Subgroup: 2.3.5.7.11.13
Comma list: 364/363, 441/440, 4375/4374, 32805/32768
Mapping: [{{val|1 0 15 -59 -136 -215}}, {{val|0 1 -8 39 88 138}}]
POTE generator: ~3/2 = 701.735
Optimal GPV sequence: {{Val list| 53ef, 118f, 171, 289, 460e, 749def }}
Badness: 0.050188
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 364/363, 441/440, 595/594, 1156/1155, 32805/32768
Mapping: [{{val|1 0 15 -59 -136 -215 -91}}, {{val|0 1 -8 39 88 138 60}}]
POTE generator: ~3/2 = 701.735
Optimal GPV sequence: {{Val list| 53ef, 118f, 171, 289, 460e, 749defg }}
Badness: 0.029383


=== Bipont ===
=== Bipont ===
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POTE generator: ~3/2 = 701.757
POTE generator: ~3/2 = 701.757


Vals: {{Val list| 106, 118, 224, 342, 1592c, 1934ce, 2276cde, 2618cde, 2960cde }}
Optimal GPV sequence: {{Val list| 106, 118, 224, 342, 1592c, 1934ce, 2276cde, 2618cde, 2960cde }}


Badness: 0.014629
Badness: 0.014629
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POTE generator: ~3/2 = 701.773
POTE generator: ~3/2 = 701.773


Vals: {{Val list| 106, 118, 224, 566f, 790f }}
Optimal GPV sequence: {{Val list| 106, 118, 224, 566f, 790f }}


Badness: 0.030172
Badness: 0.030172
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POTE generator: ~3/2 = 701.769
POTE generator: ~3/2 = 701.769


Vals: {{Val list| 106f, 118f, 224, 342f, 566, 1356cf, 1922cff }}
Optimal GPV sequence: {{Val list| 106f, 118f, 224, 342f, 566, 1356cf, 1922cff }}


Badness: 0.025547
Badness: 0.025547
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POTE generator: ~3/2 = 701.756
POTE generator: ~3/2 = 701.756


Vals: {{Val list| 224, 460, 684, 2276cde, 2960cde, 3644bccddee }}
Optimal GPV sequence: {{Val list| 224, 460, 684, 2276cde, 2960cde, 3644bccddee }}


Badness: 0.021025
Badness: 0.021025
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[[Comma list]]: 126/125, 32805/32768
[[Comma list]]: 126/125, 32805/32768


[[Mapping]]: [{{val| 1 0 15 -44 }}, {{val| 0 1 -8 -26 }}]
[[Mapping]]: [{{val| 1 0 15 44 }}, {{val| 0 1 -8 -26 }}]


Mapping generators: ~2, ~3
Mapping generators: ~2, ~3
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[[Badness]]: 0.070407
[[Badness]]: 0.070407
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 126/125, 176/175, 32805/32768
Mapping: [{{val| 1 0 15 44 70 }}, {{val| 0 1 -8 -26 -42 }}]
POTE generator: ~3/2 = 701.172
Optimal GPV sequence: {{Val list| 12, 53dee, 65e, 77, 89, 166c, 255c }}
Badness: 0.048887
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 176/175, 196/195, 5445/5408
Mapping: [{{val| 1 0 15 44 70 75 }}, {{val| 0 1 -8 -26 -42 -45 }}]
POTE generator: ~3/2 = 701.226
Optimal GPV sequence: {{Val list| 12f, 53deeff, 65ef, 77, 166cf, 243cf }}
Badness: 0.037859
==== Grackloid ====
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 176/175, 729/728, 1287/1280
Mapping: [{{val| 1 0 15 44 70 -47 }}, {{val| 0 1 -8 -26 -42 32 }}]
POTE generator: ~3/2 = 701.217
Optimal GPV sequence: {{Val list| 12, 53deef, 65e, 77, 166c }}
Badness: 0.048511
=== Grack ===
Subgroup: 2.3.5.7.11
Comma list: 126/125, 245/242, 896/891
Mapping: [{{val| 1 0 15 44 51 }}, {{val| 0 1 -8 -26 -30 }}]
POTE generator: ~3/2 = 701.401
Optimal GPV sequence: {{Val list| 12, 53d, 65, 77e, 142de }}
Badness: 0.055908
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 196/195, 245/242, 832/825
Mapping: [{{val| 1 0 15 44 51 75 }}, {{val| 0 1 -8 -26 -30 -45 }}]
POTE generator: ~3/2 = 701.348
Optimal GPV sequence: {{Val list| 12f, 53dff, 65f, 77e }}
Badness: 0.044458
==== Catahelenic ====
Subgroup: 2.3.5.7.11.13
Comma list: 105/104, 126/125, 245/242, 352/351
Mapping: [{{val| 1 0 15 44 51 56 }}, {{val| 0 1 -8 -26 -30 -33 }}]
POTE generator: ~3/2 = 701.529
Optimal GPV sequence: {{Val list| 12f, 53df, 65 }}
Badness: 0.048524


== Bischismic ==
== Bischismic ==
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