Delta-rational triads in small edos: Difference between revisions

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Shown below are approximate [[delta-rational chord|delta-rational]] triads in edos < 24 with naive least-squares error < 0.00810. All delta signatures are in the 3-integer limit.
<noinclude>Shown below are approximate [[delta-rational chord|delta-rational]] triads spanning an interval < octave, in edos < 24, with least-squares error < 0.01. All delta signatures are in the 3-integer limit.
 
</noinclude>
[[Category:Tables]]
{| class="wikitable sortable"
{| class="wikitable sortable"
!edo
!|edo
!steps
!|chord
!delta signature
!|delta signature
!naive least-squares error
!|least-squares error
!symmetric least-squares error
|-
|-
|6
|6
|0, 1, 2
|0,1,2
| +1+1
| +1+1
|0.00671
|0.00707
|0.05262
|-
|-
|6
|6
|0, 2, 5
|0,2,5
| +1+2
| +1+2
|0.00064
|0.00072
|0.00255
|-
|-
|6
|6
|0, 4, 5
|0,4,5
| +3+1
| +3+1
|0.00084
|0.00085
|0.00439
|-
|-
|7
|7
|0, 1, 2
|0,1,2
| +1+1
| +1+1
|0.00485
|0.00511
|0.04494
|-
|7
|0,2,3
| +2+1
|0.00983
|-
|-
|7
|7
|0, 2, 5
|0,2,5
| +1+2
| +1+2
|0.00518
|0.00579
|0.02473
|-
|-
|7
|7
|0, 4, 5
|0,4,5
| +3+1
| +3+1
|0.00439
|0.00444
|0.02767
|-
|-
|7
|7
|0, 4, 6
|0,4,6
| +3+2
| +3+2
|0.00075
|0.00077
|0.00468
|-
|-
|8
|8
|0, 1, 2
|0,1,2
| +1+1
| +1+1
|0.00366
|0.00386
|0.03923
|-
|-
|8
|8
|0, 4, 7
|0,1,3
| +1+1
| +1+2
|0.00250
|0.00895
|0.00649
|-
|-
|8
|8
|0, 1, 3
|0,2,3
| +1+2
| +2+1
|0.00801
|0.00737
|0.08197
|-
|-
|8
|8
|0, 2, 5
|0,2,3
| +1+2
| +3+2
|0.00804
|0.00981
|0.04497
|-
|-
|8
|8
|0, 2, 3
|0,2,5
| +2+1
| +1+2
|0.00723
|0.00898
|0.07438
|-
|-
|8
|8
|0, 4, 5
|0,4,5
| +3+1
| +3+1
|0.00604
|0.00611
|0.04470
|-
|-
|8
|8
|0, 4, 6
|0,4,6
| +3+2
| +3+2
|0.00441
|0.00454
|0.03250
|-
|-
|9
|8
|0, 1, 2
|0,4,7
| +1+1
| +1+1
|0.00287
|0.00263
|0.03481
|-
|-
|9
|9
|0, 4, 7
|0,1,2
| +1+1
| +1+1
|0.00317
|0.00302
|0.00941
|-
|-
|9
|9
|0, 1, 3
|0,1,3
| +1+2
| +1+2
|0.00624
|0.00698
|0.07286
|-
|-
|9
|9
|0, 2, 3
|0,2,3
| +2+1
| +2+1
|0.00562
|0.00573
|0.06586
|-
|-
|9
|9
|0, 5, 7
|0,2,3
| +2+1
| +3+2
|0.00548
|0.00935
|0.02377
|-
|9
|0,3,4
| +3+1
|0.00862
|-
|-
|9
|9
|0, 4, 5
|0,4,5
| +3+1
| +3+1
|0.00679
|0.00686
|0.05773
|-
|-
|9
|9
|0, 4, 6
|0,4,6
| +3+2
| +3+2
|0.00716
|0.00738
|0.06098
|-
|-
|10
|9
|0, 1, 2
|0,4,7
| +1+1
| +1+1
|0.00230
|0.00334
|0.03128
|-
|9
|0,5,7
| +2+1
|0.00559
|-
|-
|10
|10
|0, 4, 7
|0,1,2
| +1+1
| +1+1
|0.00649
|0.00243
|0.02168
|-
|-
|10
|10
|0, 1, 3
|0,1,3
| +1+2
| +1+2
|0.00500
|0.00559
|0.06557
|-
|-
|10
|10
|0, 1, 4
|0,1,4
| +1+3
| +1+3
|0.00786
|0.00917
|0.09929
|-
|-
|10
|10
|0, 2, 7
|0,2,3
| +1+3
| +2+1
|0.00721
|0.00458
|0.04684
|-
|-
|10
|10
|0, 2, 3
|0,2,3
| +2+1
| +3+2
|0.00449
|0.00885
|0.05909
|-
|-
|10
|10
|0, 5, 7
|0,2,7
| +2+1
| +1+3
|0.00177
|0.00840
|0.00868
|-
|-
|10
|10
|0, 3, 4
|0,3,4
| +3+1
| +3+1
|0.00679
|0.00686
|0.08635
|-
|-
|10
|10
|0, 4, 5
|0,4,5
| +3+1
| +3+1
|0.00708
|0.00715
|0.06802
|-
|-
|10
|10
|0, 6, 9
|0,4,6
| +3+2
| +3+2
|0.00336
|0.00891
|0.01975
|-
|-
|11
|10
|0, 1, 2
|0,4,7
| +1+1
| +1+1
|0.00189
|0.00684
|0.02841
|-
|-
|11
|10
|0, 2, 4
|0,5,7
| +1+1
| +2+1
|0.00807
|0.00180
|0.05755
|-
|10
|0,6,9
| +3+2
|0.00347
|-
|-
|11
|11
|0, 1, 3
|0,1,2
| +1+2
| +1+1
|0.00410
|0.00199
|0.05961
|-
|-
|11
|11
|0, 4, 10
|0,1,3
| +1+2
| +1+2
|0.00565
|0.00458
|0.02016
|-
|-
|11
|11
|0, 1, 4
|0,1,4
| +1+3
| +1+3
|0.00643
|0.00750
|0.09038
|-
|-
|11
|11
|0, 2, 7
|0,2,3
| +1+3
| +2+1
|0.00416
|0.00375
|0.03036
|-
|-
|11
|11
|0, 2, 3
|0,2,3
| +2+1
| +3+2
|0.00367
|0.00836
|0.05359
|-
|-
|11
|11
|0, 5, 7
|0,2,4
| +2+1
| +1+1
|0.00062
|0.00850
|0.00342
|-
|-
|11
|11
|0, 3, 4
|0,2,7
| +3+1
| +1+3
|0.00553
|0.00485
|0.07822
|-
|-
|11
|11
|0, 4, 5
|0,3,4
| +3+1
| +3+1
|0.00712
|0.00558
|0.07636
|-
|-
|11
|11
|0, 8, 10
|0,4,5
| +3+1
| +3+1
|0.00231
|0.00719
|0.01080
|-
|-
|11
|11
|0, 6, 9
|0,4,6
| +3+2
| +3+2
|0.00135
|0.00970
|0.00892
|-
|-
|12
|11
|0, 1, 2
|0,4,7
| +1+1
| +1+1
|0.00158
|0.00892
|0.02602
|-
|-
|12
|11
|0, 2, 4
|0,4,10
| +1+1
| +1+2
|0.00671
|0.00632
|0.05262
|-
|11
|0,5,7
| +2+1
|0.00063
|-
|11
|0,6,9
| +3+2
|0.00139
|-
|11
|0,8,10
| +3+1
|0.00234
|-
|-
|12
|12
|0, 5, 9
|0,1,2
| +1+1
| +1+1
|0.00542
|0.00167
|0.01684
|-
|-
|12
|12
|0, 1, 3
|0,1,3
| +1+2
| +1+2
|0.00342
|0.00382
|0.05465
|-
|-
|12
|12
|0, 3, 8
|0,1,4
| +1+2
| +1+3
|0.00625
|0.00624
|0.03266
|-
|-
|12
|12
|0, 4, 10
|0,2,3
| +1+2
| +2+1
|0.00064
|0.00312
|0.00255
|-
|-
|12
|12
|0, 1, 4
|0,2,3
| +1+3
| +3+2
|0.00535
|0.00790
|0.08294
|-
|-
|12
|12
|0, 2, 7
|0,2,4
| +1+3
| +1+1
|0.00205
|0.00707
|0.01661
|-
|-
|12
|12
|0, 3, 10
|0,2,7
| +1+3
| +1+3
|0.00606
|0.00239
|0.03163
|-
|-
|12
|12
|0, 2, 3
|0,3,4
| +2+1
| +3+1
|0.00306
|0.00463
|0.04903
|-
|-
|12
|12
|0, 5, 7
|0,3,8
| +2+1
| +1+2
|0.00219
|0.00699
|0.01335
|-
|-
|12
|12
|0, 8, 11
|0,3,10
| +2+1
| +1+3
|0.00369
|0.00706
|0.01302
|-
|-
|12
|12
|0, 3, 4
|0,4,5
| +3+1
| +3+1
|0.00459
|0.00710
|0.07149
|-
|-
|12
|12
|0, 4, 5
|0,4,10
| +3+1
| +1+2
|0.00703
|0.00072
|0.08326
|-
|-
|12
|12
|0, 8, 10
|0,5,7
| +3+1
| +2+1
|0.00084
|0.00224
|0.00439
|-
|-
|12
|12
|0, 2, 3
|0,5,9
| +3+2
| +1+1
|0.00766
|0.00571
|0.19843
|-
|-
|12
|12
|0, 6, 9
|0,6,9
| +3+2
| +3+2
|0.00441
|0.00454
|0.03250
|-
|-
|13
|12
|0, 1, 2
|0,8,10
| +1+1
| +3+1
|0.00134
|0.00085
|0.02400
|-
|-
|13
|12
|0, 2, 4
|0,8,11
| +1+1
| +2+1
|0.00566
|0.00376
|0.04848
|-
|-
|13
|13
|0, 5, 9
|0,1,2
| +1+1
| +1+1
|0.00217
|0.00141
|0.00737
|-
|-
|13
|13
|0, 7, 12
|0,1,2
| +1+1
| +2+3
|0.00389
|0.00985
|0.00949
|-
|-
|13
|13
|0, 1, 3
|0,1,3
| +1+2
| +1+2
|0.00290
|0.00324
|0.05045
|-
|-
|13
|13
|0, 3, 8
|0,1,4
| +1+2
| +1+3
|0.00366
|0.00528
|0.02103
|-
|-
|13
|13
|0, 4, 10
|0,2,3
| +1+2
| +2+1
|0.00279
|0.00264
|0.01219
|-
|-
|13
|13
|0, 5, 12
|0,2,3
| +1+2
| +3+2
|0.00644
|0.00747
|0.02247
|-
|-
|13
|13
|0, 1, 4
|0,2,4
| +1+3
| +1+1
|0.00453
|0.00597
|0.07663
|-
|-
|13
|13
|0, 2, 7
|0,2,5
| +1+3
| +2+3
|0.00056
|0.00977
|0.00496
|-
|-
|13
|13
|0, 3, 10
|0,2,7
| +1+3
| +1+3
|0.00255
|0.00065
|0.01472
|-
|-
|13
|13
|0, 2, 3
|0,3,4
| +2+1
| +3+1
|0.00259
|0.00391
|0.04518
|-
|-
|13
|13
|0, 5, 7
|0,3,5
| +2+1
| +3+2
|0.00324
|0.00870
|0.02166
|-
|13
|0, 8, 11
| +2+1
|0.00014
|0.00053
|-
|-
|13
|13
|0, 3, 7
|0,3,7
| +2+3
| +2+3
|0.00697
|0.00758
|0.07780
|-
|-
|13
|13
|0, 4, 9
|0,3,8
| +2+3
| +1+2
|0.00800
|0.00410
|0.06578
|-
|-
|13
|13
|0, 3, 4
|0,3,10
| +3+1
| +1+3
|0.00387
|0.00298
|0.06582
|-
|-
|13
|13
|0, 4, 5
|0,4,5
| +3+1
| +3+1
|0.00687
|0.00694
|0.08905
|-
|-
|13
|13
|0, 7, 9
|0,4,9
| +3+1
| +2+3
|0.00758
|0.00871
|0.05018
|-
|13
|0,4,10
| +1+2
|0.00312
|-
|13
|0,5,7
| +2+1
|0.00331
|-
|-
|13
|13
|0, 8, 10
|0,5,9
| +3+1
| +1+1
|0.00296
|0.00228
|0.01701
|-
|-
|13
|13
|0, 2, 3
|0,5,12
| +3+2
| +1+2
|0.00725
|0.00721
|0.20459
|-
|-
|13
|13
|0, 6, 9
|0,6,9
| +3+2
| +3+2
|0.00642
|0.00662
|0.05226
|-
|-
|13
|13
|0, 8, 12
|0,7,9
| +3+2
| +3+1
|0.00491
|0.00766
|0.02791
|-
|-
|14
|13
|0, 1, 2
|0,7,12
| +1+1
| +1+1
|0.00115
|0.00410
|0.02228
|-
|-
|14
|13
|0, 2, 4
|0,8,10
| +1+1
| +3+1
|0.00485
|0.00299
|0.04494
|-
|-
|14
|13
|0, 5, 9
|0,8,11
| +1+1
| +2+1
|0.00016
|0.00014
|0.00059
|-
|13
|0,8,12
| +3+2
|0.00506
|-
|-
|14
|14
|0, 7, 12
|0,1,2
| +1+1
| +1+1
|0.00759
|0.00121
|0.02013
|-
|-
|14
|14
|0, 1, 3
|0,1,2
| +1+2
| +2+3
|0.00249
|0.00921
|0.04685
|-
|-
|14
|14
|0, 3, 8
|0,1,3
| +1+2
| +1+2
|0.00177
|0.00278
|0.01110
|-
|-
|14
|14
|0, 4, 10
|0,1,4
| +1+2
| +1+3
|0.00518
|0.00452
|0.02473
|-
|-
|14
|14
|0, 1, 4
|0,2,3
| +1+3
| +2+1
|0.00388
|0.00226
|0.07122
|-
|-
|14
|14
|0, 2, 7
|0,2,3
| +1+3
| +3+2
|0.00052
|0.00708
|0.00505
|-
|-
|14
|14
|0, 3, 10
|0,2,4
| +1+3
| +1+1
|0.00004
|0.00511
|0.00023
|-
|-
|14
|14
|0, 4, 13
|0,2,5
| +1+3
| +2+3
|0.00663
|0.00835
|0.03015
|-
|-
|14
|14
|0, 2, 3
|0,2,7
| +2+1
| +1+3
|0.00222
|0.00061
|0.04190
|-
|-
|14
|14
|0, 5, 7
|0,3,4
| +2+1
| +3+1
|0.00395
|0.00334
|0.02871
|-
|-
|14
|14
|0, 8, 11
|0,3,5
| +2+1
| +3+2
|0.00280
|0.00743
|0.01191
|-
|-
|14
|14
|0, 2, 5
|0,3,7
| +2+3
| +2+3
|0.00767
|0.00561
|0.13817
|-
|-
|14
|14
|0, 3, 7
|0,3,8
| +2+3
| +1+2
|0.00516
|0.00198
|0.06277
|-
|-
|14
|14
|0, 4, 9
|0,3,10
| +2+3
| +1+3
|0.00516
|0.00004
|0.04637
|-
|-
|14
|14
|0, 5, 11
|0,4,5
| +2+3
|0.00807
|0.05654
|-
|14
|0, 3, 4
| +3+1
| +3+1
|0.00330
|0.00675
|0.06099
|-
|-
|14
|14
|0, 4, 5
|0,4,6
| +3+1
| +2+1
|0.00668
|0.00983
|0.09400
|-
|-
|14
|14
|0, 7, 9
|0,4,9
| +3+1
| +2+3
|0.00548
|0.00561
|0.03965
|-
|-
|14
|14
|0, 8, 10
|0,4,10
| +3+1
| +1+2
|0.00439
|0.00579
|0.02767
|-
|-
|14
|14
|0, 2, 3
|0,4,13
| +3+2
| +1+3
|0.00687
|0.00773
|0.20986
|-
|-
|14
|14
|0, 3, 5
|0,5,7
| +2+1
|0.00403
|-
|14
|0,5,8
| +3+2
| +3+2
|0.00721
|0.00947
|0.13014
|-
|14
|0,5,9
| +1+1
|0.00017
|-
|14
|0,5,11
| +2+3
|0.00878
|-
|-
|14
|14
|0, 6, 9
|0,6,9
| +3+2
| +3+2
|0.00776
|0.00800
|0.06905
|-
|14
|0,7,9
| +3+1
|0.00554
|-
|14
|0,7,12
| +1+1
|0.00800
|-
|14
|0,8,10
| +3+1
|0.00444
|-
|14
|0,8,11
| +2+1
|0.00285
|-
|-
|14
|14
|0, 8, 12
|0,8,12
| +3+2
| +3+2
|0.00075
|0.00077
|0.00468
|-
|-
|15
|15
|0, 1, 2
|0,1,2
| +1+1
| +1+1
|0.00100
|0.00105
|0.02078
|-
|-
|15
|15
|0, 2, 4
|0,1,2
| +1+1
| +2+3
|0.00419
|0.00865
|0.04189
|-
|-
|15
|15
|0, 5, 9
|0,1,2
| +1+1
| +3+2
|0.00184
|0.00955
|0.00738
|-
|15
|0, 8, 14
| +1+1
|0.00677
|0.01640
|-
|-
|15
|15
|0, 1, 3
|0,1,3
| +1+2
| +1+2
|0.00216
|0.00241
|0.04373
|-
|-
|15
|15
|0, 3, 8
|0,1,4
| +1+2
| +1+3
|0.00037
|0.00392
|0.00252
|-
|-
|15
|15
|0, 4, 10
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|17
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|-
|-
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|17
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|-
|-
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|18
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|0,2,6
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|0.00698
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|-
|-
|18
|18
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|0,2,7
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| +1+3
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|0.00307
|0.04172
|-
|-
|18
|18
|0, 4, 13
|0,3,4
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| +2+1
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|0.00971
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|-
|-
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|18
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|0.00285
|-
|-
|18
|18
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|0,3,5
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|0.00436
|0.03246
|-
|-
|18
|18
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|18
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|-
|-
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|-
|-
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|19
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|19
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|-
|-
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|-
|-
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|19
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
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|-
|-
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|-
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|20
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|-
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|-
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|-
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|-
|-
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|20
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|-
|-
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|-
|-
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|20
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|-
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|-
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|-
|-
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|-
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|-
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|-
|-
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|-
|-
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|-
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|-
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|-
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|-
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|-
|-
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|20
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|-
|-
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|-
|-
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|20
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|-
|-
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|20
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|-
|-
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|20
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|-
|-
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|20
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|-
|-
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|20
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| +1+3
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|0.08635
|-
|-
|20
|20
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|0,6,8
| +3+1
| +3+1
|0.00002
|0.00686
|0.00027
|-
|-
|20
|20
|0, 8, 10
|0,6,11
| +3+1
| +1+1
|0.00708
|0.00085
|0.06802
|-
|-
|20
|20
|0, 11, 14
|0,6,13
| +3+1
| +2+3
|0.00343
|0.00351
|0.02234
|-
|-
|20
|20
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|0,6,15
| +3+1
| +1+2
|0.00350
|0.00412
|0.02075
|-
|-
|20
|20
|0, 1, 2
|0,6,19
| +3+2
| +1+3
|0.00669
|0.00206
|0.48768
|-
|-
|20
|20
|0, 2, 3
|0,7,9
| +3+2
| +3+1
|0.00517
|0.00002
|0.23031
|-
|-
|20
|20
|0, 3, 5
|0,7,10
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|0.00134
|-
|20
|0,7,11
| +3+2
| +3+2
|0.00339
|0.00344
|0.09050
|-
|20
|0,7,13
| +1+1
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|-
|-
|20
|20
|0, 5, 8
|0,7,15
| +3+2
| +2+3
|0.00214
|0.00186
|0.03370
|-
|-
|20
|20
|0, 7, 11
|0,7,17
| +3+2
| +1+2
|0.00334
|0.00749
|0.03623
|-
|-
|20
|20
|0, 9, 14
|0,8,10
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| +3+1
|0.00743
|0.00715
|0.06029
|-
|-
|20
|20
|0, 10, 15
|0,8,11
| +3+2
| +2+1
|0.00441
|0.00858
|0.03250
|-
|-
|20
|20
|0, 12, 18
|0,8,12
| +3+2
| +3+2
|0.00336
|0.00891
|0.01975
|-
|-
|21
|20
|0, 1, 2
|0,8,14
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| +1+1
|0.00050
|0.00684
|0.01482
|-
|-
|21
|20
|0, 2, 4
|0,8,17
| +1+1
| +2+3
|0.00208
|0.00151
|0.02978
|-
|-
|21
|20
|0, 3, 6
|0,8,19
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| +1+2
|0.00485
|0.00942
|0.04494
|-
|-
|21
|20
|0, 5, 9
|0,9,14
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| +3+2
|0.00580
|0.00766
|0.03378
|-
|-
|21
|20
|0, 6, 11
|0,9,16
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| +1+1
|0.00013
|0.00425
|0.00059
|-
|-
|21
|20
|0, 7, 13
|0,9,19
| +1+1
| +2+3
|0.00716
|0.00678
|0.02783
|-
|-
|21
|20
|0, 8, 14
|0,10,14
| +1+1
| +2+1
|0.00760
|0.00180
|0.02684
|-
|-
|21
|20
|0, 9, 16
|0,10,15
| +1+1
| +3+2
|0.00176
|0.00454
|0.00535
|-
|-
|21
|20
|0, 11, 19
|0,11,14
| +1+1
| +3+1
|0.00146
|0.00347
|0.00364
|-
|-
|21
|20
|0, 1, 3
|0,11,15
| +1+2
| +2+1
|0.00108
|0.00811
|0.03125
|-
|-
|21
|20
|0, 2, 5
|0,11,19
| +1+2
| +1+1
|0.00800
|0.00174
|0.13198
|-
|-
|21
|20
|0, 2, 6
|0,12,15
| +1+2
| +3+1
|0.00452
|0.00353
|0.06245
|-
|-
|21
|20
|0, 3, 8
|0,12,18
| +1+2
| +3+2
|0.00318
|0.00347
|0.03166
|-
|-
|21
|20
|0, 4, 11
|0,13,18
| +1+2
| +2+1
|0.00453
|0.00697
|0.03147
|-
|-
|21
|20
|0, 5, 13
|0,13,19
| +1+2
| +3+2
|0.00077
|0.00888
|0.00439
|-
|20
|0,14,19
| +2+1
|0.00276
|-
|-
|21
|21
|0, 6, 15
|0,1,2
| +1+2
| +1+1
|0.00518
|0.00053
|0.02473
|-
|-
|21
|21
|0, 1, 3
|0,1,2
| +1+3
| +2+3
|0.00731
|0.00632
|0.27570
|-
|-
|21
|21
|0, 1, 4
|0,1,2
| +1+3
| +3+2
|0.00168
|0.00653
|0.04765
|-
|-
|21
|21
|0, 2, 7
|0,1,3
| +1+3
| +1+2
|0.00316
|0.00121
|0.04865
|-
|-
|21
|21
|0, 2, 8
|0,1,3
| +1+3
| +1+3
|0.00709
|0.00853
|0.09463
|-
|-
|21
|21
|0, 3, 10
|0,1,3
| +1+3
| +2+3
|0.00613
|0.00816
|0.06280
|-
|-
|21
|21
|0, 3, 11
|0,1,4
| +1+3
| +1+3
|0.00519
|0.00195
|0.04782
|-
|-
|21
|21
|0, 4, 13
|0,2,3
| +1+3
| +2+1
|0.00696
|0.00098
|0.05226
|-
|-
|21
|21
|0, 4, 14
|0,2,3
| +1+3
| +3+1
|0.00554
|0.00794
|0.03821
|-
|-
|21
|21
|0, 5, 16
|0,2,3
| +1+3
| +3+2
|0.00534
|0.00512
|0.03109
|-
|-
|21
|21
|0, 6, 19
|0,2,4
| +1+3
| +1+1
|0.00093
|0.00220
|0.00435
|-
|-
|21
|21
|0, 2, 3
|0,2,5
| +2+1
| +1+2
|0.00096
|0.00894
|0.02777
|-
|-
|21
|21
|0, 4, 6
|0,2,5
| +2+1
| +2+3
|0.00405
|0.00357
|0.05621
|-
|-
|21
|21
|0, 5, 7
|0,2,6
| +2+1
| +1+2
|0.00512
|0.00505
|0.05867
|-
|-
|21
|21
|0, 7, 10
|0,2,7
| +2+1
| +1+3
|0.00066
|0.00369
|0.00509
|-
|-
|21
|21
|0, 10, 14
|0,2,8
| +2+1
| +1+3
|0.00045
|0.00827
|0.00232
|-
|-
|21
|21
|0, 13, 18
|0,3,4
| +2+1
| +2+1
|0.00425
|0.00848
|0.01631
|-
|-
|21
|21
|0, 14, 19
|0,3,4
| +2+1
| +3+1
|0.00492
|0.00143
|0.01756
|-
|-
|21
|21
|0, 1, 2
|0,3,5
| +2+3
| +3+2
|0.00581
|0.00316
|0.41170
|-
|-
|21
|21
|0, 1, 3
|0,3,6
| +2+3
| +1+1
|0.00750
|0.00511
|0.36939
|-
|-
|21
|21
|0, 2, 5
|0,3,7
| +2+3
| +2+3
|0.00328
|0.00012
|0.09205
|-
|-
|21
|21
|0, 3, 7
|0,3,8
| +2+3
| +1+2
|0.00011
|0.00356
|0.00217
|-
|21
|0,3,10
| +1+3
|0.00715
|-
|-
|21
|21
|0, 4, 9
|0,3,11
| +2+3
| +1+3
|0.00258
|0.00605
|0.03730
|-
|-
|21
|21
|0, 5, 11
|0,4,5
| +2+3
| +3+1
|0.00403
|0.00530
|0.04600
|-
|-
|21
|21
|0, 6, 13
|0,4,6
| +2+3
| +2+1
|0.00434
|0.00413
|0.04056
|-
|-
|21
|21
|0, 7, 15
|0,4,6
| +2+3
| +3+2
|0.00339
|0.00860
|0.02663
|-
|-
|21
|21
|0, 8, 17
|0,4,8
| +2+3
| +1+1
|0.00107
|0.00939
|0.00716
|-
|-
|21
|21
|0, 9, 19
|0,4,9
| +2+3
| +2+3
|0.00278
|0.00281
|0.01619
|-
|-
|21
|21
|0, 2, 3
|0,4,11
| +3+1
| +1+2
|0.00786
|0.00506
|0.31586
|-
|-
|21
|21
|0, 3, 4
|0,4,13
| +3+1
| +1+3
|0.00141
|0.00812
|0.04030
|-
|-
|21
|21
|0, 4, 5
|0,4,14
| +3+1
| +1+3
|0.00525
|0.00646
|0.11514
|-
|-
|21
|21
|0, 6, 8
|0,5,7
| +3+1
| +2+1
|0.00611
|0.00522
|0.08208
|-
|-
|21
|21
|0, 7, 9
|0,5,8
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| +3+2
|0.00040
|0.00167
|0.00460
|-
|-
|21
|21
|0, 8, 10
|0,5,9
| +3+1
| +1+1
|0.00712
|0.00611
|0.07240
|-
|-
|21
|21
|0, 11, 14
|0,5,11
| +3+1
| +2+3
|0.00224
|0.00438
|0.01547
|-
|-
|21
|21
|0, 12, 15
|0,5,13
| +3+1
| +1+2
|0.00439
|0.00086
|0.02767
|-
|-
|21
|21
|0, 16, 20
|0,5,16
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| +1+3
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|0.00623
|0.01963
|-
|-
|21
|21
|0, 1, 2
|0,5,17
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| +1+3
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|0.00987
|0.48575
|-
|-
|21
|21
|0, 2, 3
|0,6,8
| +3+2
| +3+1
|0.00496
|0.00617
|0.23257
|-
|-
|21
|21
|0, 3, 5
|0,6,9
| +3+2
| +2+1
|0.00306
|0.00983
|0.08613
|-
|-
|21
|21
|0, 5, 8
|0,6,11
| +3+2
| +1+1
|0.00162
|0.00013
|0.02688
|-
|-
|21
|21
|0, 7, 11
|0,6,13
| +3+2
| +2+3
|0.00234
|0.00472
|0.02688
|-
|-
|21
|21
|0, 9, 14
|0,6,15
| +3+2
| +1+2
|0.00561
|0.00579
|0.04830
|-
|21
|0,6,19
| +1+3
|0.00108
|-
|21
|0,7,9
| +3+1
|0.00040
|-
|-
|21
|21
|0, 10, 15
|0,7,10
| +3+2
| +2+1
|0.00571
|0.00067
|0.04475
|-
|-
|21
|21
|0, 12, 18
|0,7,11
| +3+2
| +3+2
|0.00075
|0.00241
|0.00468
|-
|-
|22
|21
|0, 1, 2
|0,7,13
| +1+1
| +1+1
|0.00046
|0.00755
|0.01414
|-
|-
|22
|21
|0, 2, 4
|0,7,15
| +1+1
| +2+3
|0.00189
|0.00369
|0.02841
|-
|-
|22
|21
|0, 3, 6
|0,7,17
| +1+1
| +1+2
|0.00439
|0.00959
|0.04286
|-
|-
|22
|21
|0, 4, 8
|0,8,10
| +1+1
| +3+1
|0.00807
|0.00719
|0.05755
|-
|21
|0,8,11
| +2+1
|0.00880
|-
|21
|0,8,12
| +3+2
|0.00937
|-
|-
|22
|21
|0, 5, 9
|0,8,14
| +1+1
| +1+1
|0.00599
|0.00801
|0.03672
|-
|-
|22
|21
|0, 6, 11
|0,8,17
| +1+1
| +2+3
|0.00088
|0.00116
|0.00433
|-
|-
|22
|21
|0, 7, 13
|0,9,13
| +1+1
| +2+1
|0.00567
|0.00962
|0.02322
|-
|-
|22
|21
|0, 9, 16
|0,9,14
| +1+1
| +3+2
|0.00009
|0.00578
|0.00027
|-
|-
|22
|21
|0, 11, 19
|0,9,16
| +1+1
| +1+1
|0.00394
|0.00185
|0.01037
|-
|-
|22
|21
|0, 1, 3
|0,9,19
| +1+2
| +2+3
|0.00098
|0.00302
|0.02984
|-
|-
|22
|21
|0, 2, 5
|0,10,13
| +1+2
| +3+1
|0.00775
|0.00875
|0.13442
|-
|-
|22
|21
|0, 2, 6
|0,10,14
| +1+2
| +2+1
|0.00410
|0.00045
|0.05961
|-
|-
|22
|21
|0, 3, 8
|0,10,15
| +1+2
| +3+2
|0.00339
|0.00589
|0.03553
|-
|-
|22
|21
|0, 4, 11
|0,11,14
| +1+2
| +3+1
|0.00357
|0.00227
|0.02614
|-
|-
|22
|21
|0, 5, 13
|0,11,15
| +1+2
| +2+1
|0.00179
|0.00902
|0.01075
|-
|-
|22
|21
|0, 6, 15
|0,11,19
| +1+2
| +1+1
|0.00636
|0.00154
|0.03210
|-
|21
|0,12,15
| +3+1
|0.00444
|-
|21
|0,12,18
| +3+2
|0.00077
|-
|21
|0,13,18
| +2+1
|0.00433
|-
|21
|0,14,19
| +2+1
|0.00502
|-
|-
|22
|21
|0, 7, 18
|0,16,20
| +1+2
| +3+1
|0.00724
|0.00450
|0.02946
|-
|-
|22
|22
|0, 8, 20
|0,1,2
| +1+2
| +1+1
|0.00565
|0.00048
|0.02016
|-
|-
|22
|22
|0, 1, 3
|0,1,2
| +1+3
| +2+1
|0.00701
|0.00963
|0.27754
|-
|-
|22
|22
|0, 1, 4
|0,1,2
| +1+3
| +2+3
|0.00152
|0.00605
|0.04550
|-
|-
|22
|22
|0, 2, 7
|0,1,2
| +1+3
| +3+2
|0.00325
|0.00620
|0.05263
|-
|-
|22
|22
|0, 2, 8
|0,1,3
| +1+3
| +1+2
|0.00643
|0.00110
|0.09038
|-
|-
|22
|22
|0, 3, 10
|0,1,3
| +1+3
| +1+3
|0.00635
|0.00817
|0.06856
|-
|-
|22
|22
|0, 3, 11
|0,1,3
| +1+3
| +2+3
|0.00429
|0.00772
|0.04175
|-
|-
|22
|22
|0, 4, 13
|0,1,4
| +1+3
| +1+3
|0.00753
|0.00178
|0.05977
|-
|-
|22
|22
|0, 4, 14
|0,2,3
| +1+3
| +2+1
|0.00416
|0.00089
|0.03036
|-
|-
|22
|22
|0, 5, 16
|0,2,3
| +1+3
| +3+1
|0.00654
|0.00752
|0.04036
|-
|-
|22
|22
|0, 5, 17
|0,2,3
| +1+3
| +3+2
|0.00631
|0.00492
|0.03625
|-
|-
|22
|22
|0, 6, 19
|0,2,4
| +1+3
| +1+1
|0.00309
|0.00199
|0.01538
|-
|-
|22
|22
|0, 2, 3
|0,2,5
| +2+1
| +1+2
|0.00087
|0.00866
|0.02649
|-
|-
|22
|22
|0, 3, 4
|0,2,5
| +2+1
| +2+3
|0.00798
|0.00324
|0.17252
|-
|-
|22
|22
|0, 4, 6
|0,2,6
| +2+1
| +1+2
|0.00367
|0.00458
|0.05359
|-
|-
|22
|22
|0, 5, 7
|0,2,7
| +2+1
| +1+3
|0.00509
|0.00379
|0.06135
|-
|-
|22
|22
|0, 7, 10
|0,2,8
| +2+1
| +1+3
|0.00012
|0.00750
|0.00097
|-
|-
|22
|22
|0, 9, 13
|0,3,4
| +2+1
| +2+1
|0.00800
|0.00814
|0.04849
|-
|-
|22
|22
|0, 10, 14
|0,3,4
| +2+1
| +3+1
|0.00062
|0.00130
|0.00342
|-
|-
|22
|22
|0, 13, 18
|0,3,5
| +2+1
| +3+2
|0.00216
|0.00286
|0.00876
|-
|-
|22
|22
|0, 14, 19
|0,3,6
| +2+1
| +1+1
|0.00665
|0.00463
|0.02513
|-
|-
|22
|22
|0, 1, 2
|0,3,7
| +2+3
| +2+3
|0.00556
|0.00043
|0.41332
|-
|-
|22
|22
|0, 1, 3
|0,3,8
| +2+3
| +1+2
|0.00710
|0.00379
|0.36698
|-
|-
|22
|22
|0, 2, 5
|0,3,10
| +2+3
| +1+3
|0.00298
|0.00740
|0.08786
|-
|-
|22
|22
|0, 3, 7
|0,3,11
| +2+3
| +1+3
|0.00040
|0.00500
|0.00806
|-
|-
|22
|22
|0, 4, 9
|0,4,5
| +2+3
| +3+1
|0.00295
|0.00513
|0.04488
|-
|-
|22
|22
|0, 5, 11
|0,4,6
| +2+3
| +2+1
|0.00458
|0.00375
|0.05527
|-
|-
|22
|22
|0, 6, 13
|0,4,6
| +2+3
| +3+2
|0.00521
|0.00836
|0.05153
|-
|-
|22
|22
|0, 7, 15
|0,4,8
| +2+3
| +1+1
|0.00473
|0.00850
|0.03932
|-
|-
|22
|22
|0, 8, 17
|0,4,9
| +2+3
| +2+3
|0.00303
|0.00321
|0.02158
|-
|-
|22
|22
|0, 9, 19
|0,4,11
| +2+3
| +1+2
|0.00000
|0.00399
|0.00001
|-
|-
|22
|22
|0, 10, 21
|0,4,13
| +2+3
| +1+3
|0.00449
|0.00878
|0.02440
|-
|-
|22
|22
|0, 2, 3
|0,4,14
| +3+1
| +1+3
|0.00745
|0.00485
|0.31409
|-
|-
|22
|22
|0, 3, 4
|0,5,7
| +3+1
| +2+1
|0.00128
|0.00519
|0.03844
|-
|-
|22
|22
|0, 4, 5
|0,5,8
| +3+1
| +3+2
|0.00508
|0.00122
|0.11704
|-
|-
|22
|22
|0, 6, 8
|0,5,9
| +3+1
| +1+1
|0.00553
|0.00631
|0.07822
|-
|-
|22
|22
|0, 7, 9
|0,5,11
| +3+1
| +2+3
|0.00070
|0.00498
|0.00853
|-
|22
|0,5,13
| +1+2
|0.00200
|-
|-
|22
|22
|0, 8, 10
|0,5,16
| +3+1
| +1+3
|0.00712
|0.00763
|0.07636
|-
|-
|22
|22
|0, 10, 13
|0,5,17
| +3+1
| +1+3
|0.00744
|0.00736
|0.05975
|-
|-
|22
|22
|0, 11, 14
|0,6,8
| +3+1
| +3+1
|0.00127
|0.00558
|0.00928
|-
|-
|22
|22
|0, 12, 15
|0,6,9
| +3+1
| +2+1
|0.00509
|0.00889
|0.03390
|-
|-
|22
|22
|0, 16, 20
|0,6,11
| +3+1
| +1+1
|0.00231
|0.00093
|0.01080
|-
|-
|22
|22
|0, 17, 21
|0,6,13
| +3+1
| +2+3
|0.00402
|0.00567
|0.01755
|-
|-
|22
|22
|0, 1, 2
|0,6,15
| +3+2
| +1+2
|0.00602
|0.00711
|0.48399
|-
|-
|22
|22
|0, 2, 3
|0,6,19
| +3+2
| +1+3
|0.00477
|0.00360
|0.23462
|-
|-
|22
|22
|0, 3, 5
|0,7,9
| +3+2
| +3+1
|0.00278
|0.00070
|0.08216
|-
|-
|22
|22
|0, 5, 8
|0,7,10
| +3+2
| +2+1
|0.00118
|0.00012
|0.02070
|-
|-
|22
|22
|0, 7, 11
|0,7,11
| +3+2
| +3+2
|0.00152
|0.00156
|0.01842
|-
|22
|0,7,13
| +1+1
|0.00598
|-
|22
|0,7,15
| +2+3
|0.00515
|-
|-
|22
|22
|0, 9, 14
|0,7,18
| +3+2
| +1+2
|0.00411
|0.00810
|0.03745
|-
|-
|22
|22
|0, 10, 15
|0,8,10
| +3+2
| +3+1
|0.00674
|0.00719
|0.05583
|-
|-
|22
|22
|0, 12, 18
|0,8,11
| +3+2
| +2+1
|0.00135
|0.00893
|0.00892
|-
|-
|22
|22
|0, 14, 21
|0,8,12
| +3+2
| +3+2
|0.00718
|0.00970
|0.03910
|-
|-
|23
|22
|0, 1, 2
|0,8,14
| +1+1
| +1+1
|0.00042
|0.00892
|0.01352
|-
|-
|23
|22
|0, 2, 4
|0,8,17
| +1+1
| +2+3
|0.00173
|0.00330
|0.02716
|-
|-
|23
|22
|0, 3, 6
|0,8,20
| +1+1
| +1+2
|0.00400
|0.00632
|0.04096
|-
|-
|23
|22
|0, 4, 8
|0,9,13
| +1+1
| +2+1
|0.00734
|0.00816
|0.05498
|-
|-
|23
|22
|0, 5, 9
|0,9,14
| +1+1
| +3+2
|0.00612
|0.00424
|0.03940
|-
|-
|23
|22
|0, 6, 11
|0,9,16
| +1+1
| +1+1
|0.00149
|0.00009
|0.00773
|-
|-
|23
|22
|0, 7, 13
|0,9,19
| +1+1
| +2+3
|0.00442
|0.00000
|0.01904
|-
|-
|23
|22
|0, 9, 16
|0,10,13
| +1+1
| +3+1
|0.00158
|0.00751
|0.00535
|-
|-
|23
|22
|0, 10, 18
|0,10,14
| +1+1
| +2+1
|0.00752
|0.00063
|0.02230
|-
|-
|23
|22
|0, 11, 19
|0,10,15
| +1+1
| +3+2
|0.00593
|0.00694
|0.01640
|-
|-
|23
|22
|0, 12, 21
|0,10,21
| +1+1
| +2+3
|0.00521
|0.00489
|0.01292
|-
|-
|23
|22
|0, 1, 3
|0,11,14
| +1+2
| +3+1
|0.00090
|0.00129
|0.02854
|-
|-
|23
|22
|0, 2, 5
|0,11,15
| +1+2
| +2+1
|0.00751
|0.00971
|0.13664
|-
|-
|23
|22
|0, 2, 6
|0,11,17
| +1+2
| +3+2
|0.00374
|0.00962
|0.05702
|-
|-
|23
|22
|0, 3, 8
|0,11,19
| +1+2
| +1+1
|0.00355
|0.00415
|0.03907
|-
|-
|23
|22
|0, 4, 11
|0,12,15
| +1+2
| +3+1
|0.00276
|0.00514
|0.02127
|-
|-
|23
|22
|0, 5, 13
|0,12,18
| +1+2
| +3+2
|0.00262
|0.00139
|0.01655
|-
|-
|23
|22
|0, 6, 15
|0,12,21
| +1+2
| +1+1
|0.00729
|0.00896
|0.03882
|-
|-
|23
|22
|0, 6, 16
|0,13,18
| +1+2
| +2+1
|0.00791
|0.00220
|0.03926
|-
|-
|23
|22
|0, 7, 18
|0,14,19
| +1+2
| +2+1
|0.00495
|0.00678
|0.02125
|-
|-
|23
|22
|0, 8, 20
|0,14,21
| +1+2
| +3+2
|0.00291
|0.00740
|0.01094
|-
|-
|23
|22
|0, 9, 22
|0,15,19
| +1+2
| +3+1
|0.00186
|0.00853
|0.00623
|-
|-
|23
|22
|0, 1, 3
|0,16,20
| +1+3
| +3+1
|0.00673
|0.00234
|0.27921
|-
|22
|0,17,21
| +3+1
|0.00406
|-
|-
|23
|23
|0, 1, 4
|0,1,2
| +1+3
| +1+1
|0.00139
|0.00044
|0.04354
|-
|-
|23
|23
|0, 2, 7
|0,1,2
| +1+3
| +2+1
|0.00331
|0.00918
|0.05628
|-
|-
|23
|23
|0, 2, 8
|0,1,2
| +1+3
| +2+3
|0.00585
|0.00580
|0.08650
|-
|-
|23
|23
|0, 3, 10
|0,1,2
| +1+3
| +3+2
|0.00650
|0.00591
|0.07383
|-
|-
|23
|23
|0, 3, 11
|0,1,3
| +1+3
| +1+2
|0.00353
|0.00100
|0.03621
|-
|-
|23
|23
|0, 4, 13
|0,1,3
| +1+3
| +1+3
|0.00797
|0.00785
|0.06664
|-
|-
|23
|23
|0, 4, 14
|0,1,3
| +1+3
| +2+3
|0.00301
|0.00733
|0.02319
|-
|-
|23
|23
|0, 5, 16
|0,1,4
| +1+3
| +1+3
|0.00749
|0.00162
|0.04882
|-
|-
|23
|23
|0, 5, 17
|0,2,3
| +1+3
| +2+1
|0.00452
|0.00081
|0.02746
|-
|-
|23
|23
|0, 6, 19
|0,2,3
| +1+3
| +3+1
|0.00483
|0.00714
|0.02545
|-
|-
|23
|23
|0, 7, 22
|0,2,3
| +1+3
| +3+2
|0.00029
|0.00473
|0.00125
|-
|-
|23
|23
|0, 2, 3
|0,2,4
| +2+1
| +1+1
|0.00079
|0.00182
|0.02533
|-
|-
|23
|23
|0, 3, 4
|0,2,5
| +2+1
| +1+2
|0.00767
|0.00840
|0.17373
|-
|-
|23
|23
|0, 4, 6
|0,2,5
| +2+1
| +2+3
|0.00334
|0.00295
|0.05121
|-
|-
|23
|23
|0, 5, 7
|0,2,6
| +2+1
| +1+2
|0.00504
|0.00418
|0.06380
|-
|-
|23
|23
|0, 6, 9
|0,2,7
| +2+1
| +1+3
|0.00792
|0.00386
|0.07773
|-
|-
|23
|23
|0, 7, 10
|0,2,8
| +2+1
| +1+3
|0.00032
|0.00683
|0.00278
|-
|-
|23
|23
|0, 9, 13
|0,3,4
| +2+1
| +2+1
|0.00679
|0.00782
|0.04335
|-
|-
|23
|23
|0, 10, 14
|0,3,4
| +2+1
| +3+1
|0.00149
|0.00118
|0.00862
|-
|-
|23
|23
|0, 13, 18
|0,3,5
| +2+1
| +3+2
|0.00046
|0.00261
|0.00196
|-
|-
|23
|23
|0, 14, 19
|0,3,6
| +2+1
| +1+1
|0.00802
|0.00422
|0.03195
|-
|-
|23
|23
|0, 16, 22
|0,3,7
| +2+1
| +2+3
|0.00621
|0.00069
|0.02084
|-
|-
|23
|23
|0, 1, 2
|0,3,8
| +2+3
| +1+2
|0.00533
|0.00397
|0.41480
|-
|-
|23
|23
|0, 1, 3
|0,3,9
| +2+3
| +1+2
|0.00674
|0.00980
|0.36477
|-
|-
|23
|23
|0, 2, 5
|0,3,10
| +2+3
| +1+3
|0.00272
|0.00758
|0.08404
|-
|-
|23
|23
|0, 3, 7
|0,3,11
| +2+3
| +1+3
|0.00063
|0.00412
|0.01343
|-
|-
|23
|23
|0, 4, 9
|0,4,5
| +2+3
| +3+1
|0.00323
|0.00496
|0.05179
|-
|-
|23
|23
|0, 5, 11
|0,4,6
| +2+3
| +2+1
|0.00502
|0.00341
|0.06372
|-
|-
|23
|23
|0, 6, 13
|0,4,6
| +2+3
| +3+2
|0.00590
|0.00813
|0.06153
|-
|-
|23
|23
|0, 7, 15
|0,4,8
| +2+3
| +1+1
|0.00580
|0.00774
|0.05088
|-
|-
|23
|23
|0, 8, 17
|0,4,9
| +2+3
| +2+3
|0.00462
|0.00352
|0.03472
|-
|-
|23
|23
|0, 9, 19
|0,4,11
| +2+3
| +1+2
|0.00226
|0.00308
|0.01476
|-
|-
|23
|23
|0, 10, 21
|0,4,13
| +2+3
| +1+3
|0.00139
|0.00929
|0.00800
|-
|-
|23
|23
|0, 2, 3
|0,4,14
| +3+1
| +1+3
|0.00707
|0.00351
|0.31247
|-
|-
|23
|23
|0, 3, 4
|0,5,7
| +3+1
| +2+1
|0.00117
|0.00514
|0.03674
|-
|-
|23
|23
|0, 4, 5
|0,5,8
| +3+1
| +3+2
|0.00491
|0.00084
|0.11877
|-
|-
|23
|23
|0, 6, 8
|0,5,9
| +3+1
| +1+1
|0.00502
|0.00645
|0.07470
|-
|-
|23
|23
|0, 7, 9
|0,5,11
| +3+1
| +2+3
|0.00094
|0.00546
|0.01210
|-
|-
|23
|23
|0, 8, 10
|0,5,13
| +3+1
| +1+2
|0.00709
|0.00293
|0.07996
|-
|-
|23
|23
|0, 10, 13
|0,5,16
| +3+1
| +1+3
|0.00640
|0.00874
|0.05419
|-
|-
|23
|23
|0, 11, 14
|0,5,17
| +3+1
| +1+3
|0.00048
|0.00528
|0.00367
|-
|-
|23
|23
|0, 12, 15
|0,6,8
| +3+1
| +3+1
|0.00563
|0.00508
|0.03955
|-
|-
|23
|23
|0, 15, 19
|0,6,9
| +3+1
| +2+1
|0.00649
|0.00808
|0.03440
|-
|-
|23
|23
|0, 16, 20
|0,6,9
| +3+1
| +3+2
|0.00057
|0.00995
|0.00284
|-
|-
|23
|23
|0, 17, 21
|0,6,11
| +3+1
| +1+1
|0.00553
|0.00157
|0.02555
|-
|-
|23
|23
|0, 1, 2
|0,6,13
| +3+2
| +2+3
|0.00573
|0.00642
|0.48238
|-
|-
|23
|23
|0, 2, 3
|0,6,15
| +3+2
| +1+2
|0.00459
|0.00816
|0.23649
|-
|-
|23
|23
|0, 3, 5
|0,6,16
| +3+2
| +1+2
|0.00253
|0.00884
|0.07854
|-
|-
|23
|23
|0, 4, 6
|0,6,19
| +3+2
| +1+3
|0.00788
|0.00564
|0.19494
|-
|-
|23
|23
|0, 5, 8
|0,6,20
| +3+2
| +1+3
|0.00082
|0.00970
|0.01507
|-
|-
|23
|23
|0, 7, 11
|0,7,9
| +3+2
| +3+1
|0.00084
|0.00095
|0.01071
|-
|-
|23
|23
|0, 9, 14
|0,7,10
| +3+2
| +2+1
|0.00287
|0.00033
|0.02759
|-
|-
|23
|23
|0, 10, 15
|0,7,11
| +3+2
| +3+2
|0.00753
|0.00086
|0.06590
|-
|-
|23
|23
|0, 11, 17
|0,7,13
| +3+2
| +1+1
|0.00724
|0.00466
|0.05485
|-
|-
|23
|23
|0, 12, 18
|0,7,15
| +3+2
| +2+3
|0.00304
|0.00631
|0.02126
|-
|-
|23
|23
|0, 14, 21
|0,7,18
| +1+2
|0.00554
|-
|23
|0,7,22
| +1+3
|0.00033
|-
|23
|0,8,10
| +3+1
|0.00716
|-
|23
|0,8,11
| +2+1
|0.00899
|-
|23
|0,8,12
| +3+2
| +3+2
|0.00423
|0.00993
|0.02436
|-
|-
|23
|23
|0, 15, 22
|0,8,14
| +1+1
|0.00962
|-
|23
|0,8,17
| +2+3
|0.00502
|-
|23
|0,8,20
| +1+2
|0.00325
|-
|23
|0,9,13
| +2+1
|0.00693
|-
|23
|0,9,14
| +3+2
| +3+2
|0.00614
|0.00296
|0.03310
|-
|23
|0,9,16
| +1+1
|0.00167
|-
|23
|0,9,19
| +2+3
|0.00246
|-
|23
|0,9,22
| +1+2
|0.00208
|-
|23
|0,10,13
| +3+1
|0.00647
|-
|23
|0,10,14
| +2+1
|0.00152
|-
|23
|0,10,15
| +3+2
|0.00777
|-
|23
|0,10,18
| +1+1
|0.00793
|-
|23
|0,10,21
| +2+3
|0.00151
|-
|23
|0,11,14
| +3+1
|0.00048
|-
|23
|0,11,17
| +3+2
|0.00746
|-
|23
|0,11,19
| +1+1
|0.00625
|-
|23
|0,12,15
| +3+1
|0.00568
|-
|23
|0,12,17
| +2+1
|0.00885
|-
|23
|0,12,18
| +3+2
|0.00313
|-
|23
|0,12,21
| +1+1
|0.00549
|-
|23
|0,13,18
| +2+1
|0.00047
|-
|23
|0,13,22
| +1+1
|0.00877
|-
|23
|0,14,19
| +2+1
|0.00817
|-
|23
|0,14,21
| +3+2
|0.00436
|-
|23
|0,15,19
| +3+1
|0.00656
|-
|23
|0,15,22
| +3+2
|0.00633
|-
|23
|0,16,20
| +3+1
|0.00058
|-
|23
|0,16,22
| +2+1
|0.00634
|-
|23
|0,17,21
| +3+1
|0.00558
|}
|}
[[Category:Triads]]

Latest revision as of 00:39, 6 August 2025

Shown below are approximate delta-rational triads spanning an interval < octave, in edos < 24, with least-squares error < 0.01. All delta signatures are in the 3-integer limit.

edo chord delta signature least-squares error
6 0,1,2 +1+1 0.00707
6 0,2,5 +1+2 0.00072
6 0,4,5 +3+1 0.00085
7 0,1,2 +1+1 0.00511
7 0,2,3 +2+1 0.00983
7 0,2,5 +1+2 0.00579
7 0,4,5 +3+1 0.00444
7 0,4,6 +3+2 0.00077
8 0,1,2 +1+1 0.00386
8 0,1,3 +1+2 0.00895
8 0,2,3 +2+1 0.00737
8 0,2,3 +3+2 0.00981
8 0,2,5 +1+2 0.00898
8 0,4,5 +3+1 0.00611
8 0,4,6 +3+2 0.00454
8 0,4,7 +1+1 0.00263
9 0,1,2 +1+1 0.00302
9 0,1,3 +1+2 0.00698
9 0,2,3 +2+1 0.00573
9 0,2,3 +3+2 0.00935
9 0,3,4 +3+1 0.00862
9 0,4,5 +3+1 0.00686
9 0,4,6 +3+2 0.00738
9 0,4,7 +1+1 0.00334
9 0,5,7 +2+1 0.00559
10 0,1,2 +1+1 0.00243
10 0,1,3 +1+2 0.00559
10 0,1,4 +1+3 0.00917
10 0,2,3 +2+1 0.00458
10 0,2,3 +3+2 0.00885
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