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Porcupine family: Difference between revisions

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POTE generator: ~11/10 = 164.0777
POTE generator: ~11/10 = 164.0777


Vals: {{val list| 7, 15, 22, 37, 73ce, 95ce }}
Optimal GPV sequence: {{val list| 7, 15, 22, 37, 73ce, 95ce }}


==== Undecimation ====
==== Undecimation ====
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POTE generator: ~88/65 = 518.2094
POTE generator: ~88/65 = 518.2094


Vals: {{val list| 7, 23bc, 30, 37, 44 }}
Optimal GPV sequence: {{val list| 7, 23bc, 30, 37, 44 }}


== Septimal porcupine ==
== Septimal porcupine ==
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* 11-odd-limit diamond monotone and tradeoff: ~10/9 = [160.000, 163.636]
* 11-odd-limit diamond monotone and tradeoff: ~10/9 = [160.000, 163.636]


Vals: {{val list| 7, 15, 22, 37, 59 }}
Optimal GPV sequence: {{val list| 7, 15, 22, 37, 59 }}


Badness: 0.021562
Badness: 0.021562
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* 15-odd-limit diamond monotone and tradeoff: ~10/9 = 163.636
* 15-odd-limit diamond monotone and tradeoff: ~10/9 = 163.636


Vals: {{val list| 7, 15, 22f, 37f }}
Optimal GPV sequence: {{val list| 7, 15, 22f, 37f }}


Badness: 0.021276
Badness: 0.021276
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* 15-odd-limit diamond monotone and tradeoff: ~10/9 = 162.162
* 15-odd-limit diamond monotone and tradeoff: ~10/9 = 162.162


Vals: {{val list| 15, 22, 37, 59, 96b }}
Optimal GPV sequence: {{val list| 15, 22, 37, 59, 96b }}


Badness: 0.025314
Badness: 0.025314
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: Eigenmonzos (unchanged intervals): 2, 14/13
: Eigenmonzos (unchanged intervals): 2, 14/13


Vals: {{val list| 15f, 22f, 37 }}
Optimal GPV sequence: {{val list| 15f, 22f, 37 }}


Badness: 0.035130
Badness: 0.035130
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: Eigenmonzos (unchanged intervals): 2, 9/7
: Eigenmonzos (unchanged intervals): 2, 9/7


Vals: {{val list| 7, 15f, 22 }}
Optimal GPV sequence: {{val list| 7, 15f, 22 }}


Badness: 0.026043
Badness: 0.026043
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POTE generator: ~8/7 = 158.750
POTE generator: ~8/7 = 158.750


Vals: {{val list| 7, 8d, 15d }}
Optimal GPV sequence: {{val list| 7, 8d, 15d }}


Badness: 0.026790
Badness: 0.026790
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: Eigenmonzos (unchanged intervals): 2, 7/5
: Eigenmonzos (unchanged intervals): 2, 7/5


Vals: {{val list| 7d, 15d, 22, 29, 51, 73ce }}
Optimal GPV sequence: {{val list| 7d, 15d, 22, 29, 51, 73ce }}


Badness: 0.027268
Badness: 0.027268
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POTE generator: ~10/9 = 164.953
POTE generator: ~10/9 = 164.953


Vals: {{val list| 7d, 22, 29, 51f, 80cdeff }}
Optimal GPV sequence: {{val list| 7d, 22, 29, 51f, 80cdeff }}


Badness: 0.026543
Badness: 0.026543
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: Eigenmonzos (unchanged intervals): 2, 3
: Eigenmonzos (unchanged intervals): 2, 3


Vals: {{val list| 7, 29, 65ce, 94cde }}
Optimal GPV sequence: {{val list| 7, 29, 65ce, 94cde }}


Badness: 0.049669
Badness: 0.049669
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: Eigenmonzos (unchanged intervals): 2, 3
: Eigenmonzos (unchanged intervals): 2, 3


Vals: {{val list| 7, 29, 65cef, 94cdef }}
Optimal GPV sequence: {{val list| 7, 29, 65cef, 94cdef }}


Badness: 0.030233
Badness: 0.030233
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POTE generator: ~9/7 = 435.386
POTE generator: ~9/7 = 435.386


Vals: {{val list| 8d, 14c, 22, 58ce, 80ce, 102cde }}
Optimal GPV sequence: {{val list| 8d, 14c, 22, 58ce, 80ce, 102cde }}


Badness: 0.023095
Badness: 0.023095
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POTE generator: ~9/7 = 435.861
POTE generator: ~9/7 = 435.861


Vals: {{val list| 8d, 14cf, 22 }}
Optimal GPV sequence: {{val list| 8d, 14cf, 22 }}


Badness: 0.021516
Badness: 0.021516
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POTE generator: ~9/7 = 437.078
POTE generator: ~9/7 = 437.078


Vals: {{val list| 14c, 22f }}
Optimal GPV sequence: {{val list| 14c, 22f }}


Badness: 0.025233
Badness: 0.025233
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POTE generator: ~9/7 = 435.425
POTE generator: ~9/7 = 435.425


Vals: {{val list| 22, 80c, 102cd, 124cd }}
Optimal GPV sequence: {{val list| 22, 80c, 102cd, 124cd }}


Badness: 0.068406
Badness: 0.068406
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POTE generator: ~21/20 = 82.504
POTE generator: ~21/20 = 82.504


Vals: {{val list| 14c, 15, 29, 44d, 59d, 73cde, 102cde }}
Optimal GPV sequence: {{val list| 14c, 15, 29, 44d, 59d, 73cde, 102cde }}


Badness: 0.026023
Badness: 0.026023
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POTE generator: ~21/20 = 82.530
POTE generator: ~21/20 = 82.530


Vals: {{val list| 14cf, 15, 29, 44d, 59df, 73cde, 102cde }}
Optimal GPV sequence: {{val list| 14cf, 15, 29, 44d, 59df, 73cde, 102cde }}


Badness: 0.022285
Badness: 0.022285
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POTE generator: ~21/20 = 81.759
POTE generator: ~21/20 = 81.759


Vals: {{val list| 14c, 15, 29f, 44df }}
Optimal GPV sequence: {{val list| 14c, 15, 29f, 44df }}


Badness: 0.029816
Badness: 0.029816
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POTE generator: ~9/7 = 454.512
POTE generator: ~9/7 = 454.512


Vals: {{val list| 29, 37, 66 }}
Optimal GPV sequence: {{val list| 29, 37, 66 }}


Badness: 0.045694
Badness: 0.045694
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POTE generator: ~13/10 = 454.529
POTE generator: ~13/10 = 454.529


Vals: {{val list| 29, 37, 66 }}
Optimal GPV sequence: {{val list| 29, 37, 66 }}


Badness: 0.027168
Badness: 0.027168
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POTE generator: ~36/35 = 54.376
POTE generator: ~36/35 = 54.376


Vals: {{val list| 1ce, 21ce, 22 }}
Optimal GPV sequence: {{val list| 1ce, 21ce, 22 }}


Badness: 0.051319
Badness: 0.051319
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POTE generator: ~36/35 = 54.665
POTE generator: ~36/35 = 54.665


Vals: {{val list| 1ce, 21cef, 22 }}
Optimal GPV sequence: {{val list| 1ce, 21cef, 22 }}


Badness: 0.044739
Badness: 0.044739
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