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-squared 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.
{| class="wikitable"
 
|edo
</noinclude>
|steps
[[Category:Tables]]
|delta signature
{| class="wikitable sortable"
|naive LS error
!|edo
|symmetric LS error
!|chord
!|delta signature
!|least-squares error
|-
|-
|6
|6
|0, 1, 2)
|0,1,2
|2
| +1+1
|0.00671
|0.00707
|0.05262
|-
|-
|6
|6
|0, 2, 5)
|0,2,5
|3
| +1+2
|0.00064
|0.00072
|0.00255
|-
|-
|6
|6
|0, 4, 5)
|0,4,5
|4
| +3+1
|0.00084
|0.00085
|0.00439
|-
|-
|7
|7
|0, 1, 2)
|0,1,2
|2
| +1+1
|0.00485
|0.00511
|0.04494
|-
|-
|7
|7
|0, 2, 5)
|0,2,3
|3
| +2+1
|0.00518
|0.00983
|0.02473
|-
|-
|7
|7
|0, 4, 5)
|0,2,5
|4
| +1+2
|0.00439
|0.00579
|0.02767
|-
|7
|0,4,5
| +3+1
|0.00444
|-
|-
|7
|7
|0, 4, 6)
|0,4,6
|5
| +3+2
|0.00075
|0.00077
|0.00468
|-
|-
|8
|8
|0, 1, 2)
|0,1,2
|2
| +1+1
|0.00366
|0.00386
|0.03923
|-
|8
|0,1,3
| +1+2
|0.00895
|-
|-
|8
|8
|0, 4, 7)
|0,2,3
|2
| +2+1
|0.00250
|0.00737
|0.00649
|-
|-
|8
|8
|0, 1, 3)
|0,2,3
|3
| +3+2
|0.00801
|0.00981
|0.08197
|-
|-
|8
|8
|0, 2, 5)
|0,2,5
|3
| +1+2
|0.00804
|0.00898
|0.04497
|-
|-
|8
|8
|0, 2, 3)
|0,4,5
|3
| +3+1
|0.00723
|0.00611
|0.07438
|-
|-
|8
|8
|0, 4, 5)
|0,4,6
|4
| +3+2
|0.00604
|0.00454
|0.04470
|-
|-
|8
|8
|0, 4, 6)
|0,4,7
|5
| +1+1
|0.00441
|0.00263
|0.03250
|-
|9
|0,1,2
| +1+1
|0.00302
|-
|-
|9
|9
|0, 1, 2)
|0,1,3
|2
| +1+2
|0.00287
|0.00698
|0.03481
|-
|-
|9
|9
|0, 4, 7)
|0,2,3
|2
| +2+1
|0.00317
|0.00573
|0.00941
|-
|-
|9
|9
|0, 1, 3)
|0,2,3
|3
| +3+2
|0.00624
|0.00935
|0.07286
|-
|9
|0,3,4
| +3+1
|0.00862
|-
|-
|9
|9
|0, 2, 3)
|0,4,5
|3
| +3+1
|0.00562
|0.00686
|0.06586
|-
|-
|9
|9
|0, 5, 7)
|0,4,6
|3
| +3+2
|0.00548
|0.00738
|0.02377
|-
|-
|9
|9
|0, 4, 5)
|0,4,7
|4
| +1+1
|0.00679
|0.00334
|0.05773
|-
|-
|9
|9
|0, 4, 6)
|0,5,7
|5
| +2+1
|0.00716
|0.00559
|0.06098
|-
|-
|10
|10
|0, 1, 2)
|0,1,2
|2
| +1+1
|0.00230
|0.00243
|0.03128
|-
|-
|10
|10
|0, 4, 7)
|0,1,3
|2
| +1+2
|0.00649
|0.00559
|0.02168
|-
|-
|10
|10
|0, 1, 3)
|0,1,4
|3
| +1+3
|0.00500
|0.00917
|0.06557
|-
|10
|0,2,3
| +2+1
|0.00458
|-
|-
|10
|10
|0, 1, 4)
|0,2,3
|4
| +3+2
|0.00786
|0.00885
|0.09929
|-
|-
|10
|10
|0, 2, 7)
|0,2,7
|4
| +1+3
|0.00721
|0.00840
|0.04684
|-
|-
|10
|10
|0, 2, 3)
|0,3,4
|3
| +3+1
|0.00449
|0.00686
|0.05909
|-
|-
|10
|10
|0, 5, 7)
|0,4,5
|3
| +3+1
|0.00177
|0.00715
|0.00868
|-
|-
|10
|10
|0, 3, 4)
|0,4,6
|4
| +3+2
|0.00679
|0.00891
|0.08635
|-
|-
|10
|10
|0, 4, 5)
|0,4,7
|4
| +1+1
|0.00708
|0.00684
|0.06802
|-
|-
|10
|10
|0, 6, 9)
|0,5,7
|5
| +2+1
|0.00336
|0.00180
|0.01975
|-
|-
|11
|10
|0, 1, 2)
|0,6,9
|2
| +3+2
|0.00189
|0.00347
|0.02841
|-
|-
|11
|11
|0, 2, 4)
|0,1,2
|2
| +1+1
|0.00807
|0.00199
|0.05755
|-
|-
|11
|11
|0, 1, 3)
|0,1,3
|3
| +1+2
|0.00410
|0.00458
|0.05961
|-
|-
|11
|11
|0, 4, 10)
|0,1,4
|3
| +1+3
|0.00565
|0.00750
|0.02016
|-
|-
|11
|11
|0, 1, 4)
|0,2,3
|4
| +2+1
|0.00643
|0.00375
|0.09038
|-
|-
|11
|11
|0, 2, 7)
|0,2,3
|4
| +3+2
|0.00416
|0.00836
|0.03036
|-
|-
|11
|11
|0, 2, 3)
|0,2,4
|3
| +1+1
|0.00367
|0.00850
|0.05359
|-
|-
|11
|11
|0, 5, 7)
|0,2,7
|3
| +1+3
|0.00062
|0.00485
|0.00342
|-
|-
|11
|11
|0, 3, 4)
|0,3,4
|4
| +3+1
|0.00553
|0.00558
|0.07822
|-
|-
|11
|11
|0, 4, 5)
|0,4,5
|4
| +3+1
|0.00712
|0.00719
|0.07636
|-
|-
|11
|11
|0, 8, 10)
|0,4,6
|4
| +3+2
|0.00231
|0.00970
|0.01080
|-
|-
|11
|11
|0, 6, 9)
|0,4,7
|5
| +1+1
|0.00135
|0.00892
|0.00892
|-
|-
|12
|11
|0, 1, 2)
|0,4,10
|2
| +1+2
|0.00158
|0.00632
|0.02602
|-
|-
|12
|11
|0, 2, 4)
|0,5,7
|2
| +2+1
|0.00671
|0.00063
|0.05262
|-
|-
|12
|11
|0, 5, 9)
|0,6,9
|2
| +3+2
|0.00542
|0.00139
|0.01684
|-
|11
|0,8,10
| +3+1
|0.00234
|-
|-
|12
|12
|0, 1, 3)
|0,1,2
|3
| +1+1
|0.00342
|0.00167
|0.05465
|-
|-
|12
|12
|0, 3, 8)
|0,1,3
|3
| +1+2
|0.00625
|0.00382
|0.03266
|-
|-
|12
|12
|0, 4, 10)
|0,1,4
|3
| +1+3
|0.00064
|0.00624
|0.00255
|-
|-
|12
|12
|0, 1, 4)
|0,2,3
|4
| +2+1
|0.00535
|0.00312
|0.08294
|-
|-
|12
|12
|0, 2, 7)
|0,2,3
|4
| +3+2
|0.00205
|0.00790
|0.01661
|-
|-
|12
|12
|0, 3, 10)
|0,2,4
|4
| +1+1
|0.00606
|0.00707
|0.03163
|-
|-
|12
|12
|0, 2, 3)
|0,2,7
|3
| +1+3
|0.00306
|0.00239
|0.04903
|-
|-
|12
|12
|0, 5, 7)
|0,3,4
|3
| +3+1
|0.00219
|0.00463
|0.01335
|-
|-
|12
|12
|0, 8, 11)
|0,3,8
|3
| +1+2
|0.00369
|0.00699
|0.01302
|-
|-
|12
|12
|0, 3, 4)
|0,3,10
|4
| +1+3
|0.00459
|0.00706
|0.07149
|-
|-
|12
|12
|0, 4, 5)
|0,4,5
|4
| +3+1
|0.00703
|0.00710
|0.08326
|-
|-
|12
|12
|0, 8, 10)
|0,4,10
|4
| +1+2
|0.00084
|0.00072
|0.00439
|-
|-
|12
|12
|0, 2, 3)
|0,5,7
|5
| +2+1
|0.00766
|0.00224
|0.19843
|-
|-
|12
|12
|0, 6, 9)
|0,5,9
|5
| +1+1
|0.00441
|0.00571
|0.03250
|-
|-
|13
|12
|0, 1, 2)
|0,6,9
|2
| +3+2
|0.00134
|0.00454
|0.02400
|-
|-
|13
|12
|0, 2, 4)
|0,8,10
|2
| +3+1
|0.00566
|0.00085
|0.04848
|-
|-
|13
|12
|0, 5, 9)
|0,8,11
|2
| +2+1
|0.00217
|0.00376
|0.00737
|-
|-
|13
|13
|0, 7, 12)
|0,1,2
|2
| +1+1
|0.00389
|0.00141
|0.00949
|-
|-
|13
|13
|0, 1, 3)
|0,1,2
|3
| +2+3
|0.00290
|0.00985
|0.05045
|-
|-
|13
|13
|0, 3, 8)
|0,1,3
|3
| +1+2
|0.00366
|0.00324
|0.02103
|-
|-
|13
|13
|0, 4, 10)
|0,1,4
|3
| +1+3
|0.00279
|0.00528
|0.01219
|-
|-
|13
|13
|0, 5, 12)
|0,2,3
|3
| +2+1
|0.00644
|0.00264
|0.02247
|-
|-
|13
|13
|0, 1, 4)
|0,2,3
|4
| +3+2
|0.00453
|0.00747
|0.07663
|-
|-
|13
|13
|0, 2, 7)
|0,2,4
|4
| +1+1
|0.00056
|0.00597
|0.00496
|-
|-
|13
|13
|0, 3, 10)
|0,2,5
|4
| +2+3
|0.00255
|0.00977
|0.01472
|-
|-
|13
|13
|0, 2, 3)
|0,2,7
|3
| +1+3
|0.00259
|0.00065
|0.04518
|-
|-
|13
|13
|0, 5, 7)
|0,3,4
|3
| +3+1
|0.00324
|0.00391
|0.02166
|-
|-
|13
|13
|0, 8, 11)
|0,3,5
|3
| +3+2
|0.00014
|0.00870
|0.00053
|-
|-
|13
|13
|0, 3, 7)
|0,3,7
|5
| +2+3
|0.00697
|0.00758
|0.07780
|-
|-
|13
|13
|0, 4, 9)
|0,3,8
|5
| +1+2
|0.00800
|0.00410
|0.06578
|-
|-
|13
|13
|0, 3, 4)
|0,3,10
|4
| +1+3
|0.00387
|0.00298
|0.06582
|-
|-
|13
|13
|0, 4, 5)
|0,4,5
|4
| +3+1
|0.00687
|0.00694
|0.08905
|-
|-
|13
|13
|0, 7, 9)
|0,4,9
|4
| +2+3
|0.00758
|0.00871
|0.05018
|-
|-
|13
|13
|0, 8, 10)
|0,4,10
|4
| +1+2
|0.00296
|0.00312
|0.01701
|-
|-
|13
|13
|0, 2, 3)
|0,5,7
|5
| +2+1
|0.00725
|0.00331
|0.20459
|-
|-
|13
|13
|0, 6, 9)
|0,5,9
|5
| +1+1
|0.00642
|0.00228
|0.05226
|-
|-
|13
|13
|0, 8, 12)
|0,5,12
|5
| +1+2
|0.00491
|0.00721
|0.02791
|-
|-
|14
|13
|0, 1, 2)
|0,6,9
|2
| +3+2
|0.00115
|0.00662
|0.02228
|-
|-
|14
|13
|0, 2, 4)
|0,7,9
|2
| +3+1
|0.00485
|0.00766
|0.04494
|-
|-
|14
|13
|0, 5, 9)
|0,7,12
|2
| +1+1
|0.00016
|0.00410
|0.00059
|-
|-
|14
|13
|0, 7, 12)
|0,8,10
|2
| +3+1
|0.00759
|0.00299
|0.02013
|-
|13
|0,8,11
| +2+1
|0.00014
|-
|13
|0,8,12
| +3+2
|0.00506
|-
|-
|14
|14
|0, 1, 3)
|0,1,2
|3
| +1+1
|0.00249
|0.00121
|0.04685
|-
|-
|14
|14
|0, 3, 8)
|0,1,2
|3
| +2+3
|0.00177
|0.00921
|0.01110
|-
|-
|14
|14
|0, 4, 10)
|0,1,3
|3
| +1+2
|0.00518
|0.00278
|0.02473
|-
|-
|14
|14
|0, 1, 4)
|0,1,4
|4
| +1+3
|0.00388
|0.00452
|0.07122
|-
|-
|14
|14
|0, 2, 7)
|0,2,3
|4
| +2+1
|0.00052
|0.00226
|0.00505
|-
|-
|14
|14
|0, 3, 10)
|0,2,3
|4
| +3+2
|0.00004
|0.00708
|0.00023
|-
|-
|14
|14
|0, 4, 13)
|0,2,4
|4
| +1+1
|0.00663
|0.00511
|0.03015
|-
|-
|14
|14
|0, 2, 3)
|0,2,5
|3
| +2+3
|0.00222
|0.00835
|0.04190
|-
|-
|14
|14
|0, 5, 7)
|0,2,7
|3
| +1+3
|0.00395
|0.00061
|0.02871
|-
|-
|14
|14
|0, 8, 11)
|0,3,4
|3
| +3+1
|0.00280
|0.00334
|0.01191
|-
|-
|14
|14
|0, 2, 5)
|0,3,5
|5
| +3+2
|0.00767
|0.00743
|0.13817
|-
|-
|14
|14
|0, 3, 7)
|0,3,7
|5
| +2+3
|0.00516
|0.00561
|0.06277
|-
|-
|14
|14
|0, 4, 9)
|0,3,8
|5
| +1+2
|0.00516
|0.00198
|0.04637
|-
|-
|14
|14
|0, 5, 11)
|0,3,10
|5
| +1+3
|0.00807
|0.00004
|0.05654
|-
|-
|14
|14
|0, 3, 4)
|0,4,5
|4
| +3+1
|0.00330
|0.00675
|0.06099
|-
|-
|14
|14
|0, 4, 5)
|0,4,6
|4
| +2+1
|0.00668
|0.00983
|0.09400
|-
|-
|14
|14
|0, 7, 9)
|0,4,9
|4
| +2+3
|0.00548
|0.00561
|0.03965
|-
|-
|14
|14
|0, 8, 10)
|0,4,10
|4
| +1+2
|0.00439
|0.00579
|0.02767
|-
|-
|14
|14
|0, 2, 3)
|0,4,13
|5
| +1+3
|0.00687
|0.00773
|0.20986
|-
|-
|14
|14
|0, 3, 5)
|0,5,7
|5
| +2+1
|0.00721
|0.00403
|0.13014
|-
|-
|14
|14
|0, 6, 9)
|0,5,8
|5
| +3+2
|0.00776
|0.00947
|0.06905
|-
|-
|14
|14
|0, 8, 12)
|0,5,9
|5
| +1+1
|0.00075
|0.00017
|0.00468
|-
|-
|15
|14
|0, 1, 2)
|0,5,11
|2
| +2+3
|0.00100
|0.00878
|0.02078
|-
|14
|0,6,9
| +3+2
|0.00800
|-
|14
|0,7,9
| +3+1
|0.00554
|-
|-
|15
|14
|0, 2, 4)
|0,7,12
|2
| +1+1
|0.00419
|0.00800
|0.04189
|-
|-
|15
|14
|0, 5, 9)
|0,8,10
|2
| +3+1
|0.00184
|0.00444
|0.00738
|-
|-
|15
|14
|0, 8, 14)
|0,8,11
|2
| +2+1
|0.00677
|0.00285
|0.01640
|-
|-
|15
|14
|0, 1, 3)
|0,8,12
|3
| +3+2
|0.00216
|0.00077
|0.04373
|-
|-
|15
|15
|0, 3, 8)
|0,1,2
|3
| +1+1
|0.00037
|0.00105
|0.00252
|-
|-
|15
|15
|0, 4, 10)
|0,1,2
|3
| +2+3
|0.00685
|0.00865
|0.03554
|-
|-
|15
|15
|0, 1, 4)
|0,1,2
|4
| +3+2
|0.00336
|0.00955
|0.06652
|-
|-
|15
|15
|0, 2, 7)
|0,1,3
|4
| +1+2
|0.00131
|0.00241
|0.01374
|-
|-
|15
|15
|0, 3, 10)
|0,1,4
|4
| +1+3
|0.00179
|0.00392
|0.01233
|-
|-
|15
|15
|0, 4, 13)
|0,2,3
|4
| +2+1
|0.00275
|0.00196
|0.01366
|-
|-
|15
|15
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| +1+2
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|-
|-
|23
|22
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| +1+3
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|-
|-
|23
|22
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| +1+3
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|-
|-
|23
|22
|0, 4, 8)
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| +3+1
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|-
|-
|23
|22
|0, 5, 9)
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| +2+1
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|-
|-
|23
|22
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| +1+1
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|-
|-
|23
|22
|0, 7, 13)
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| +2+3
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|-
|-
|23
|22
|0, 9, 16)
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|2
| +1+2
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|-
|-
|23
|22
|0, 10, 18)
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|2
| +1+3
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|-
|-
|23
|22
|0, 11, 19)
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|2
| +3+1
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|-
|-
|23
|22
|0, 12, 21)
|0,7,10
|2
| +2+1
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|-
|-
|23
|22
|0, 1, 3)
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|3
| +3+2
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|-
|-
|23
|22
|0, 2, 5)
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|3
| +1+1
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|-
|-
|23
|22
|0, 2, 6)
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| +2+3
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|-
|-
|23
|22
|0, 3, 8)
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| +1+2
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|-
|-
|23
|22
|0, 4, 11)
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| +3+1
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|-
|-
|23
|22
|0, 5, 13)
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|3
| +2+1
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|-
|-
|23
|22
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|-
|-
|23
|22
|0, 6, 16)
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|-
|-
|23
|22
|0, 7, 18)
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|-
|-
|23
|22
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|3
| +1+2
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|-
|-
|23
|22
|0, 9, 22)
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| +2+1
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|0.00623
|-
|-
|23
|22
|0, 1, 3)
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|4
| +3+2
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|-
|-
|23
|22
|0, 1, 4)
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|4
| +1+1
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|-
|-
|23
|22
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|0,9,19
|4
| +2+3
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|-
|-
|23
|22
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| +3+1
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|-
|-
|23
|22
|0, 3, 10)
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|4
| +2+1
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|-
|-
|23
|22
|0, 3, 11)
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|4
| +3+2
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|0.03621
|-
|-
|23
|22
|0, 4, 13)
|0,10,21
|4
| +2+3
|0.00797
|0.00489
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|-
|-
|23
|22
|0, 4, 14)
|0,11,14
|4
| +3+1
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|-
|-
|23
|22
|0, 5, 16)
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|4
| +2+1
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|-
|-
|23
|22
|0, 5, 17)
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|4
| +3+2
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|-
|-
|23
|22
|0, 6, 19)
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|4
| +1+1
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|0.00415
|0.02545
|-
|-
|23
|22
|0, 7, 22)
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|4
| +3+1
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|0.00125
|-
|-
|23
|22
|0, 2, 3)
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|3
| +3+2
|0.00079
|0.00139
|0.02533
|-
|-
|23
|22
|0, 3, 4)
|0,12,21
|3
| +1+1
|0.00767
|0.00896
|0.17373
|-
|-
|23
|22
|0, 4, 6)
|0,13,18
|3
| +2+1
|0.00334
|0.00220
|0.05121
|-
|-
|23
|22
|0, 5, 7)
|0,14,19
|3
| +2+1
|0.00504
|0.00678
|0.06380
|-
|-
|23
|22
|0, 6, 9)
|0,14,21
|3
| +3+2
|0.00792
|0.00740
|0.07773
|-
|-
|23
|22
|0, 7, 10)
|0,15,19
|3
| +3+1
|0.00032
|0.00853
|0.00278
|-
|-
|23
|22
|0, 9, 13)
|0,16,20
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| +3+1
|0.00679
|0.00234
|0.04335
|-
|-
|23
|22
|0, 10, 14)
|0,17,21
|3
| +3+1
|0.00149
|0.00406
|0.00862
|-
|-
|23
|23
|0, 13, 18)
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|3
| +1+1
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|0.00044
|0.00196
|-
|-
|23
|23
|0, 14, 19)
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|3
| +2+1
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|0.00918
|0.03195
|-
|-
|23
|23
|0, 16, 22)
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|3
| +2+3
|0.00621
|0.00580
|0.02084
|-
|-
|23
|23
|0, 1, 2)
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|5
| +3+2
|0.00533
|0.00591
|0.41480
|-
|-
|23
|23
|0, 1, 3)
|0,1,3
|5
| +1+2
|0.00674
|0.00100
|0.36477
|-
|-
|23
|23
|0, 2, 5)
|0,1,3
|5
| +1+3
|0.00272
|0.00785
|0.08404
|-
|-
|23
|23
|0, 3, 7)
|0,1,3
|5
| +2+3
|0.00063
|0.00733
|0.01343
|-
|-
|23
|23
|0, 4, 9)
|0,1,4
|5
| +1+3
|0.00323
|0.00162
|0.05179
|-
|-
|23
|23
|0, 5, 11)
|0,2,3
|5
| +2+1
|0.00502
|0.00081
|0.06372
|-
|-
|23
|23
|0, 6, 13)
|0,2,3
|5
| +3+1
|0.00590
|0.00714
|0.06153
|-
|-
|23
|23
|0, 7, 15)
|0,2,3
|5
| +3+2
|0.00580
|0.00473
|0.05088
|-
|-
|23
|23
|0, 8, 17)
|0,2,4
|5
| +1+1
|0.00462
|0.00182
|0.03472
|-
|-
|23
|23
|0, 9, 19)
|0,2,5
|5
| +1+2
|0.00226
|0.00840
|0.01476
|-
|-
|23
|23
|0, 10, 21)
|0,2,5
|5
| +2+3
|0.00139
|0.00295
|0.00800
|-
|-
|23
|23
|0, 2, 3)
|0,2,6
|4
| +1+2
|0.00707
|0.00418
|0.31247
|-
|-
|23
|23
|0, 3, 4)
|0,2,7
|4
| +1+3
|0.00117
|0.00386
|0.03674
|-
|-
|23
|23
|0, 4, 5)
|0,2,8
|4
| +1+3
|0.00491
|0.00683
|0.11877
|-
|-
|23
|23
|0, 6, 8)
|0,3,4
|4
| +2+1
|0.00502
|0.00782
|0.07470
|-
|-
|23
|23
|0, 7, 9)
|0,3,4
|4
| +3+1
|0.00094
|0.00118
|0.01210
|-
|-
|23
|23
|0, 8, 10)
|0,3,5
|4
| +3+2
|0.00709
|0.00261
|0.07996
|-
|-
|23
|23
|0, 10, 13)
|0,3,6
|4
| +1+1
|0.00640
|0.00422
|0.05419
|-
|-
|23
|23
|0, 11, 14)
|0,3,7
|4
| +2+3
|0.00048
|0.00069
|0.00367
|-
|-
|23
|23
|0, 12, 15)
|0,3,8
|4
| +1+2
|0.00563
|0.00397
|0.03955
|-
|-
|23
|23
|0, 15, 19)
|0,3,9
|4
| +1+2
|0.00649
|0.00980
|0.03440
|-
|-
|23
|23
|0, 16, 20)
|0,3,10
|4
| +1+3
|0.00057
|0.00758
|0.00284
|-
|-
|23
|23
|0, 17, 21)
|0,3,11
|4
| +1+3
|0.00553
|0.00412
|0.02555
|-
|-
|23
|23
|0, 1, 2)
|0,4,5
|5
| +3+1
|0.00573
|0.00496
|0.48238
|-
|-
|23
|23
|0, 2, 3)
|0,4,6
|5
| +2+1
|0.00459
|0.00341
|0.23649
|-
|-
|23
|23
|0, 3, 5)
|0,4,6
|5
| +3+2
|0.00253
|0.00813
|0.07854
|-
|-
|23
|23
|0, 4, 6)
|0,4,8
|5
| +1+1
|0.00788
|0.00774
|0.19494
|-
|-
|23
|23
|0, 5, 8)
|0,4,9
|5
| +2+3
|0.00082
|0.00352
|0.01507
|-
|-
|23
|23
|0, 7, 11)
|0,4,11
|5
| +1+2
|0.00084
|0.00308
|0.01071
|-
|-
|23
|23
|0, 9, 14)
|0,4,13
|5
| +1+3
|0.00287
|0.00929
|0.02759
|-
|-
|23
|23
|0, 10, 15)
|0,4,14
|5
| +1+3
|0.00753
|0.00351
|0.06590
|-
|-
|23
|23
|0, 11, 17)
|0,5,7
|5
| +2+1
|0.00724
|0.00514
|0.05485
|-
|-
|23
|23
|0, 12, 18)
|0,5,8
|5
| +3+2
|0.00304
|0.00084
|0.02126
|-
|-
|23
|23
|0, 14, 21)
|0,5,9
|5
| +1+1
|0.00423
|0.00645
|0.02436
|-
|-
|23
|23
|0, 15, 22)
|0,5,11
|5
| +2+3
|0.00614
|0.00546
|0.03310
|-
|-
|21
|23
|(0, 6, 13)
|0,5,13
|[2, 3]
| +1+2
|0.00434
|0.00293
|0.04056
|-
|-
|26
|23
|(0, 12, 17)
|0,5,16
|[2, 1]
| +1+3
|0.00435
|0.00874
|0.02327
|-
|-
|29
|23
|(0, 8, 15)
|0,5,17
|[1, 1]
| +1+3
|0.00437
|0.00528
|0.02084
|-
|-
|7
|23
|(0, 4, 5)
|0,6,8
|[3, 1]
| +3+1
|0.00439
|0.00508
|0.02767
|-
|-
|14
|23
|(0, 8, 10)
|0,6,9
|[3, 1]
| +2+1
|0.00439
|0.00808
|0.02767
|-
|-
|21
|23
|(0, 12, 15)
|0,6,9
|[3, 1]
| +3+2
|0.00439
|0.00995
|0.02767
|-
|-
|28
|23
|(0, 16, 20)
|0,6,11
|[3, 1]
| +1+1
|0.00439
|0.00157
|0.02767
|-
|-
|22
|23
|(0, 3, 6)
|0,6,13
|[1, 1]
| +2+3
|0.00439
|0.00642
|0.04286
|-
|-
|27
|23
|(0, 15, 26)
|0,6,15
|[1, 1]
| +1+2
|0.00440
|0.00816
|0.01028
|-
|-
|17
|23
|(0, 7, 10)
|0,6,16
|[2, 1]
| +1+2
|0.00440
|0.00884
|0.02673
|-
|-
|8
|23
|(0, 4, 6)
|0,6,19
|[3, 2]
| +1+3
|0.00441
|0.00564
|0.03250
|-
|-
|12
|23
|(0, 6, 9)
|0,6,20
|[3, 2]
| +1+3
|0.00441
|0.00970
|0.03250
|-
|-
|16
|23
|(0, 8, 12)
|0,7,9
|[3, 2]
| +3+1
|0.00441
|0.00095
|0.03250
|-
|-
|20
|23
|(0, 10, 15)
|0,7,10
|[3, 2]
| +2+1
|0.00441
|0.00033
|0.03250
|-
|-
|24
|23
|(0, 12, 18)
|0,7,11
|[3, 2]
| +3+2
|0.00441
|0.00086
|0.03250
|-
|-
|28
|23
|(0, 14, 21)
|0,7,13
|[3, 2]
| +1+1
|0.00441
|0.00466
|0.03250
|-
|-
|15
|23
|(0, 5, 7)
|0,7,15
|[2, 1]
| +2+3
|0.00442
|0.00631
|0.03478
|-
|-
|30
|23
|(0, 10, 14)
|0,7,18
|[2, 1]
| +1+2
|0.00442
|0.00554
|0.03478
|-
|-
|23
|23
|(0, 7, 13)
|0,7,22
|[1, 1]
| +1+3
|0.00442
|0.00033
|0.01904
|-
|-
|21
|23
|(0, 16, 20)
|0,8,10
|[3, 1]
| +3+1
|0.00446
|0.00716
|0.01963
|-
|-
|28
|23
|(0, 13, 18)
|0,8,11
|[2, 1]
| +2+1
|0.00446
|0.00899
|0.02412
|-
|-
|19
|23
|(0, 8, 17)
|0,8,12
|[2, 3]
| +3+2
|0.00446
|0.00993
|0.02639
|-
|-
|28
|23
|(0, 12, 21)
|0,8,14
|[1, 1]
| +1+1
|0.00448
|0.00962
|0.01383
|-
|-
|28
|23
|(0, 10, 25)
|0,8,17
|[1, 2]
| +2+3
|0.00449
|0.00502
|0.01636
|-
|-
|22
|23
|(0, 10, 21)
|0,8,20
|[2, 3]
| +1+2
|0.00449
|0.00325
|0.02440
|-
|-
|29
|23
|(0, 4, 8)
|0,9,13
|[1, 1]
| +2+1
|0.00450
|0.00693
|0.04336
|-
|-
|23
|23
|(0, 5, 17)
|0,9,14
|[1, 3]
| +3+2
|0.00452
|0.00296
|0.02746
|-
|-
|21
|23
|(0, 4, 11)
|0,9,16
|[1, 2]
| +1+1
|0.00453
|0.00167
|0.03147
|-
|-
|29
|23
|(0, 8, 26)
|0,9,19
|[1, 3]
| +2+3
|0.00455
|0.00246
|0.02161
|-
|-
|19
|23
|(0, 7, 11)
|0,9,22
|[3, 2]
| +1+2
|0.00456
|0.00208
|0.04660
|-
|-
|30
|23
|(0, 18, 25)
|0,10,13
|[2, 1]
| +3+1
|0.00456
|0.00647
|0.01814
|-
|-
|29
|23
|(0, 21, 26)
|0,10,14
|[3, 1]
| +2+1
|0.00456
|0.00152
|0.02161
|-
|-
|30
|23
|(0, 19, 28)
|0,10,15
|[3, 2]
| +3+2
|0.00457
|0.00777
|0.02549
|-
|-
|30
|23
|(0, 5, 14)
|0,10,18
|[1, 2]
| +1+1
|0.00459
|0.00793
|0.03651
|-
|-
|23
|23
|(0, 8, 17)
|0,10,21
|[2, 3]
| +2+3
|0.00462
|0.00151
|0.03472
|-
|-
|29
|23
|(0, 14, 18)
|0,11,14
|[3, 1]
| +3+1
|0.00464
|0.00048
|0.03498
|-
|-
|26
|23
|(0, 9, 16)
|0,11,17
|[1, 1]
| +3+2
|0.00464
|0.00746
|0.01797
|-
|-
|27
|23
|(0, 5, 13)
|0,11,19
|[1, 2]
| +1+1
|0.00465
|0.00625
|0.03540
|-
|-
|28
|23
|(0, 8, 25)
|0,12,15
|[1, 3]
| +3+1
|0.00466
|0.00568
|0.02221
|-
|-
|18
|23
|(0, 5, 9)
|0,12,17
|[1, 1]
| +2+1
|0.00467
|0.00885
|0.02291
|-
|-
|15
|23
|(0, 8, 11)
|0,12,18
|[2, 1]
| +3+2
|0.00468
|0.00313
|0.02160
|-
|-
|30
|23
|(0, 16, 22)
|0,12,21
|[2, 1]
| +1+1
|0.00468
|0.00549
|0.02160
|-
|-
|15
|23
|(0, 5, 11)
|0,13,18
|[2, 3]
| +2+1
|0.00471
|0.00047
|0.03593
|-
|-
|30
|23
|(0, 10, 22)
|0,13,22
|[2, 3]
| +1+1
|0.00471
|0.00877
|0.03593
|-
|-
|22
|23
|(0, 7, 15)
|0,14,19
|[2, 3]
| +2+1
|0.00473
|0.00817
|0.03932
|-
|-
|16
|23
|(0, 5, 7)
|0,14,21
|[2, 1]
| +3+2
|0.00473
|0.00436
|0.04006
|-
|-
|29
|23
|(0, 12, 25)
|0,15,19
|[2, 3]
| +3+1
|0.00476
|0.00656
|0.02943
|-
|-
|25
|23
|(0, 10, 13)
|0,15,22
|[3, 1]
| +3+2
|0.00477
|0.00633
|0.04448
|-
|29
|(0, 9, 20)
|[2, 3]
|0.00479
|0.03945
|-
|28
|(0, 7, 16)
|[2, 3]
|0.00482
|0.05000
|-
|23
|(0, 6, 19)
|[1, 3]
|0.00483
|0.02545
|-
|7
|(0, 1, 2)
|[1, 1]
|0.00485
|0.04494
|-
|14
|(0, 2, 4)
|[1, 1]
|0.00485
|0.04494
|-
|21
|(0, 3, 6)
|[1, 1]
|0.00485
|0.04494
|-
|28
|(0, 4, 8)
|[1, 1]
|0.00485
|0.04494
|-
|25
|(0, 6, 16)
|[1, 2]
|0.00485
|0.02660
|-
|24
|(0, 15, 19)
|[3, 1]
|0.00488
|0.02722
|-
|18
|(0, 3, 10)
|[1, 3]
|0.00488
|0.04172
|-
|30
|(0, 8, 21)
|[1, 2]
|0.00488
|0.02400
|-
|25
|(0, 9, 13)
|[2, 1]
|0.00489
|0.03437
|-
|19
|(0, 11, 14)
|[3, 1]
|0.00491
|0.02998
|-
|13
|(0, 8, 12)
|[3, 2]
|0.00491
|0.02791
|-
|26
|(0, 16, 24)
|[3, 2]
|0.00491
|0.02791
|-
|21
|(0, 14, 19)
|[2, 1]
|0.00492
|0.01756
|-
|29
|(0, 16, 20)
|[3, 1]
|0.00493
|0.03240
|-
|17
|(0, 5, 7)
|[2, 1]
|0.00493
|0.04469
|-
|26
|(0, 20, 25)
|[3, 1]
|0.00494
|0.02151
|-
|28
|(0, 5, 13)
|[1, 2]
|0.00495
|0.03927
|-
|23
|(0, 7, 18)
|[1, 2]
|0.00495
|0.02125
|-
|26
|(0, 10, 21)
|[2, 3]
|0.00497
|0.03337
|-
|29
|(0, 19, 24)
|[3, 1]
|0.00498
|0.02631
|-
|29
|(0, 13, 18)
|[2, 1]
|0.00499
|0.02817
|-
|26
|(0, 9, 22)
|[1, 2]
|0.00500
|0.01941
|-
|19
|(0, 8, 14)
|[1, 1]
|0.00505
|0.01591
|-
|18
|(0, 5, 7)
|[2, 1]
|0.00505
|0.04879
|-
|22
|(0, 12, 15)
|[3, 1]
|0.00509
|0.03390
|-
|29
|(0, 11, 20)
|[1, 1]
|0.00512
|0.01755
|-
|14
|(0, 4, 9)
|[2, 3]
|0.00516
|0.04637
|-
|28
|(0, 8, 18)
|[2, 3]
|0.00516
|0.04637
|-
|19
|(0, 5, 9)
|[1, 1]
|0.00517
|0.02693
|-
|7
|(0, 2, 5)
|[1, 2]
|0.00518
|0.02473
|-
|14
|(0, 4, 10)
|[1, 2]
|0.00518
|0.02473
|-
|21
|(0, 6, 15)
|[1, 2]
|0.00518
|0.02473
|-
|28
|(0, 8, 20)
|[1, 2]
|0.00518
|0.02473
|-
|21
|(0, 3, 11)
|[1, 3]
|0.00519
|0.04782
|-
|18
|(0, 11, 15)
|[2, 1]
|0.00519
|0.02051
|-
|29
|(0, 5, 13)
|[1, 2]
|0.00519
|0.04286
|-
|28
|(0, 8, 15)
|[1, 1]
|0.00520
|0.02383
|-
|23
|(0, 12, 21)
|[1, 1]
|0.00521
|0.01292
|-
|17
|(0, 6, 11)
|[1, 1]
|0.00521
|0.01921
|-
|27
|(0, 4, 8)
|[1, 1]
|0.00523
|0.04664
|-
|19
|(0, 4, 13)
|[1, 3]
|0.00524
|0.03488
|-
|29
|(0, 5, 14)
|[1, 2]
|0.00524
|0.04010
|-
|16
|(0, 6, 13)
|[2, 3]
|0.00526
|0.03524
|-
|27
|(0, 9, 16)
|[1, 1]
|0.00532
|0.02150
|-
|21
|(0, 5, 16)
|[1, 3]
|0.00534
|0.03109
|-
|20
|(0, 3, 6)
|[1, 1]
|0.00537
|0.04724
|-
|29
|(0, 14, 21)
|[3, 2]
|0.00537
|0.04138
|-
|15
|(0, 8, 10)
|[3, 1]
|0.00537
|0.03679
|-
|30
|(0, 16, 20)
|[3, 1]
|0.00537
|0.03679
|-
|30
|(0, 5, 13)
|[1, 2]
|0.00539
|0.04622
|-
|12
|(0, 5, 9)
|[1, 1]
|0.00542
|0.01684
|-
|24
|(0, 10, 18)
|[1, 1]
|0.00542
|0.01684
|-
|19
|(0, 3, 10)
|[1, 3]
|0.00543
|0.04948
|-
|30
|(0, 13, 18)
|[2, 1]
|0.00544
|0.03193
|-
|29
|(0, 18, 27)
|[3, 2]
|0.00547
|0.03073
|-
|14
|(0, 7, 9)
|[3, 1]
|0.00548
|0.03965
|-
|28
|(0, 14, 18)
|[3, 1]
|0.00548
|0.03965
|-
|9
|(0, 5, 7)
|[2, 1]
|0.00548
|0.02377
|-
|18
|(0, 10, 14)
|[2, 1]
|0.00548
|0.02377
|-
|27
|(0, 15, 21)
|[2, 1]
|0.00548
|0.02377
|-
|24
|(0, 11, 17)
|[3, 2]
|0.00548
|0.04379
|-
|28
|(0, 20, 27)
|[2, 1]
|0.00550
|0.01813
|-
|25
|(0, 12, 18)
|[3, 2]
|0.00552
|0.04280
|-
|24
|(0, 10, 13)
|[3, 1]
|0.00552
|0.04912
|-
|27
|(0, 13, 20)
|[3, 2]
|0.00553
|0.04171
|-
|23
|(0, 17, 21)
|[3, 1]
|0.00553
|0.02555
|-
|20
|(0, 5, 9)
|[1, 1]
|0.00553
|0.03054
|-
|30
|(0, 21, 26)
|[3, 1]
|0.00554
|0.02735
|-
|21
|(0, 4, 14)
|[1, 3]
|0.00554
|0.03821
|-
|25
|(0, 12, 17)
|[2, 1]
|0.00556
|0.02840
|-
|26
|(0, 7, 22)
|[1, 3]
|0.00557
|0.02842
|-
|29
|(0, 12, 21)
|[1, 1]
|0.00557
|0.01791
|-
|27
|(0, 13, 23)
|[1, 1]
|0.00557
|0.01497
|-
|25
|(0, 9, 19)
|[2, 3]
|0.00560
|0.04063
|-
|21
|(0, 9, 14)
|[3, 2]
|0.00561
|0.04830
|-
|23
|(0, 12, 15)
|[3, 1]
|0.00563
|0.03955
|-
|30
|(0, 15, 23)
|[3, 2]
|0.00565
|0.04083
|-
|11
|(0, 4, 10)
|[1, 2]
|0.00565
|0.02016
|-
|22
|(0, 8, 20)
|[1, 2]
|0.00565
|0.02016
|-
|13
|(0, 2, 4)
|[1, 1]
|0.00566
|0.04848
|-
|26
|(0, 4, 8)
|[1, 1]
|0.00566
|0.04848
|-
|22
|(0, 7, 13)
|[1, 1]
|0.00567
|0.02322
|-
|20
|(0, 4, 11)
|[1, 2]
|0.00569
|0.03735
|-
|28
|(0, 11, 23)
|[2, 3]
|0.00569
|0.03742
|-
|21
|(0, 10, 15)
|[3, 2]
|0.00571
|0.04475
|-
|24
|(0, 9, 13)
|[2, 1]
|0.00577
|0.03866
|-
|21
|(0, 5, 9)
|[1, 1]
|0.00580
|0.03378
|-
|28
|(0, 9, 23)
|[1, 2]
|0.00584
|0.02361
|-
|28
|(0, 9, 16)
|[1, 1]
|0.00588
|0.02476
|-
|24
|(0, 8, 17)
|[2, 3]
|0.00590
|0.04675
|-
|27
|(0, 14, 24)
|[1, 1]
|0.00591
|0.01505
|-
|16
|(0, 10, 15)
|[3, 2]
|0.00593
|0.03303
|-
|23
|(0, 11, 19)
|[1, 1]
|0.00593
|0.01640
|-
|19
|(0, 3, 6)
|[1, 1]
|0.00598
|0.04979
|-
|28
|(0, 5, 14)
|[1, 2]
|0.00598
|0.04395
|-
|22
|(0, 5, 9)
|[1, 1]
|0.00599
|0.03672
|-
|17
|(0, 8, 12)
|[3, 2]
|0.00599
|0.04762
|-
|16
|(0, 7, 10)
|[2, 1]
|0.00601
|0.03397
|-
|16
|(0, 8, 11)
|[2, 1]
|0.00601
|0.02997
|-
|8
|(0, 4, 5)
|[3, 1]
|0.00604
|0.04470
|-
|16
|(0, 8, 10)
|[3, 1]
|0.00604
|0.04470
|-
|24
|(0, 12, 15)
|[3, 1]
|0.00604
|0.04470
|-
|12
|(0, 3, 10)
|[1, 3]
|0.00606
|0.03163
|-
|24
|(0, 6, 20)
|[1, 3]
|0.00606
|0.03163
|-
|29
|(0, 8, 20)
|[1, 2]
|0.00609
|0.03033
|-
|23
|(0, 5, 9)
|[1, 1]
|0.00612
|0.03940
|-
|29
|(0, 8, 25)
|[1, 3]
|0.00612
|0.03050
|-
|23
|(0, 15, 22)
|[3, 2]
|0.00614
|0.03310
|-
|27
|(0, 8, 15)
|[1, 1]
|0.00615
|0.02706
|-
|25
|(0, 17, 23)
|[2, 1]
|0.00615
|0.02151
|-
|30
|(0, 14, 21)
|[3, 2]
|0.00618
|0.04963
|-
|27
|(0, 17, 25)
|[3, 2]
|0.00620
|0.03486
|-
|24
|(0, 5, 9)
|[1, 1]
|0.00620
|0.04185
|-
|26
|(0, 7, 23)
|[1, 3]
|0.00621
|0.03006
|-
|23
|(0, 16, 22)
|[2, 1]
|0.00621
|0.02084
|-
|20
|(0, 4, 13)
|[1, 3]
|0.00622
|0.04400
|-
|28
|(0, 9, 20)
|[2, 3]
|0.00622
|0.04913
|-
|29
|(0, 18, 25)
|[2, 1]
|0.00623
|0.02378
|-
|20
|(0, 9, 19)
|[2, 3]
|0.00623
|0.03408
|-
|28
|(0, 5, 9)
|[1, 1]
|0.00624
|0.04985
|-
|24
|(0, 6, 19)
|[1, 3]
|0.00625
|0.03467
|-
|25
|(0, 5, 9)
|[1, 1]
|0.00625
|0.04409
|-
|29
|(0, 8, 21)
|[1, 2]
|0.00625
|0.02951
|-
|12
|(0, 3, 8)
|[1, 2]
|0.00625
|0.03266
|-
|24
|(0, 6, 16)
|[1, 2]
|0.00625
|0.03266
|-
|27
|(0, 5, 9)
|[1, 1]
|0.00626
|0.04808
|-
|26
|(0, 5, 9)
|[1, 1]
|0.00627
|0.04616
|-
|29
|(0, 10, 22)
|[2, 3]
|0.00627
|0.04587
|-
|30
|(0, 5, 18)
|[1, 3]
|0.00627
|0.04920
|-
|30
|(0, 12, 25)
|[2, 3]
|0.00630
|0.04068
|-
|22
|(0, 5, 17)
|[1, 3]
|0.00631
|0.03625
|-
|29
|(0, 9, 16)
|[1, 1]
|0.00634
|0.02778
|-
|22
|(0, 6, 15)
|[1, 2]
|0.00636
|0.03210
|-
|25
|(0, 12, 15)
|[3, 1]
|0.00636
|0.04941
|-
|27
|(0, 10, 21)
|[2, 3]
|0.00640
|0.04507
|-
|28
|(0, 19, 24)
|[3, 1]
|0.00643
|0.03247
|-
|13
|(0, 5, 12)
|[1, 2]
|0.00644
|0.02247
|-
|26
|(0, 10, 24)
|[1, 2]
|0.00644
|0.02247
|-
|27
|(0, 14, 18)
|[3, 1]
|0.00645
|0.04471
|-
|10
|(0, 4, 7)
|[1, 1]
|0.00649
|0.02168
|-
|20
|(0, 8, 14)
|[1, 1]
|0.00649
|0.02168
|-
|30
|(0, 12, 21)
|[1, 1]
|0.00649
|0.02168
|-
|23
|(0, 15, 19)
|[3, 1]
|0.00649
|0.03440
|-
|17
|(0, 5, 13)
|[1, 2]
|0.00652
|0.02881
|-
|17
|(0, 7, 15)
|[2, 3]
|0.00654
|0.03941
|-
|22
|(0, 5, 16)
|[1, 3]
|0.00654
|0.04036
|-
|27
|(0, 9, 22)
|[1, 2]
|0.00654
|0.02661
|-
|30
|(0, 11, 24)
|[2, 3]
|0.00656
|0.04492
|-
|28
|(0, 11, 20)
|[1, 1]
|0.00657
|0.02162
|-
|14
|(0, 4, 13)
|[1, 3]
|0.00663
|0.03015
|-
|28
|(0, 8, 26)
|[1, 3]
|0.00663
|0.03015
|-
|19
|(0, 12, 18)
|[3, 2]
|0.00665
|0.03654
|-
|22
|(0, 14, 19)
|[2, 1]
|0.00665
|0.02513
|-
|20
|(0, 7, 17)
|[1, 2]
|0.00670
|0.02586
|-
|30
|(0, 9, 16)
|[1, 1]
|0.00672
|0.03058
|-
|18
|(0, 10, 17)
|[1, 1]
|0.00672
|0.01597
|-
|24
|(0, 17, 21)
|[3, 1]
|0.00673
|0.03281
|-
|18
|(0, 11, 14)
|[3, 1]
|0.00674
|0.03857
|-
|19
|(0, 11, 15)
|[2, 1]
|0.00676
|0.02853
|-
|15
|(0, 8, 14)
|[1, 1]
|0.00677
|0.01640
|-
|30
|(0, 16, 28)
|[1, 1]
|0.00677
|0.01640
|-
|23
|(0, 9, 13)
|[2, 1]
|0.00679
|0.04335
|-
|27
|(0, 5, 14)
|[1, 2]
|0.00683
|0.04809
|-
|20
|(0, 13, 18)
|[2, 1]
|0.00683
|0.02473
|-
|15
|(0, 4, 10)
|[1, 2]
|0.00685
|0.03554
|-
|30
|(0, 8, 20)
|[1, 2]
|0.00685
|0.03554
|-
|19
|(0, 9, 16)
|[1, 1]
|0.00687
|0.01871
|-
|27
|(0, 7, 22)
|[1, 3]
|0.00688
|0.03684
|-
|27
|(0, 10, 25)
|[1, 2]
|0.00691
|0.02410
|-
|17
|(0, 8, 11)
|[2, 1]
|0.00696
|0.03727
|-
|24
|(0, 12, 17)
|[2, 1]
|0.00699
|0.03399
|-
|29
|(0, 20, 27)
|[2, 1]
|0.00705
|0.02426
|-
|29
|(0, 11, 23)
|[2, 3]
|0.00706
|0.04849
|-
|19
|(0, 4, 11)
|[1, 2]
|0.00709
|0.04386
|-
|26
|(0, 15, 21)
|[2, 1]
|0.00716
|0.02966
|-
|17
|(0, 13, 16)
|[3, 1]
|0.00716
|0.03181
|-
|21
|(0, 7, 13)
|[1, 1]
|0.00716
|0.02783
|-
|22
|(0, 14, 21)
|[3, 2]
|0.00718
|0.03910
|-
|10
|(0, 2, 7)
|[1, 3]
|0.00721
|0.04684
|-
|20
|(0, 4, 14)
|[1, 3]
|0.00721
|0.04684
|-
|30
|(0, 6, 21)
|[1, 3]
|0.00721
|0.04684
|-
|30
|(0, 9, 29)
|[1, 3]
|0.00721
|0.03114
|-
|22
|(0, 7, 18)
|[1, 2]
|0.00724
|0.02946
|-
|26
|(0, 8, 15)
|[1, 1]
|0.00725
|0.03056
|-
|23
|(0, 6, 15)
|[1, 2]
|0.00729
|0.03882
|-
|30
|(0, 8, 25)
|[1, 3]
|0.00735
|0.03823
|-
|25
|(0, 6, 19)
|[1, 3]
|0.00739
|0.04316
|-
|23
|(0, 5, 16)
|[1, 3]
|0.00749
|0.04882
|-
|16
|(0, 6, 11)
|[1, 1]
|0.00752
|0.02588
|-
|23
|(0, 10, 18)
|[1, 1]
|0.00752
|0.02230
|-
|24
|(0, 11, 19)
|[1, 1]
|0.00753
|0.02184
|-
|14
|(0, 7, 12)
|[1, 1]
|0.00759
|0.02013
|-
|28
|(0, 14, 24)
|[1, 1]
|0.00759
|0.02013
|-
|25
|(0, 16, 24)
|[3, 2]
|0.00759
|0.04104
|-
|21
|(0, 8, 14)
|[1, 1]
|0.00760
|0.02684
|-
|18
|(0, 8, 11)
|[2, 1]
|0.00763
|0.04370
|-
|26
|(0, 17, 23)
|[2, 1]
|0.00763
|0.02799
|-
|25
|(0, 17, 21)
|[3, 1]
|0.00768
|0.03942
|-
|30
|(0, 7, 19)
|[1, 2]
|0.00775
|0.04306
|-
|16
|(0, 6, 15)
|[1, 2]
|0.00781
|0.02682
|-
|28
|(0, 8, 21)
|[1, 2]
|0.00783
|0.03544
|-
|28
|(0, 9, 22)
|[1, 2]
|0.00783
|0.03326
|-
|28
|(0, 17, 25)
|[3, 2]
|0.00783
|0.04614
|-
|23
|(0, 6, 16)
|[1, 2]
|0.00791
|0.03926
|-
|27
|(0, 9, 23)
|[1, 2]
|0.00792
|0.03066
|-
|28
|(0, 18, 27)
|[3, 2]
|0.00792
|0.04258
|-
|20
|(0, 11, 15)
|[2, 1]
|0.00795
|0.03566
|-
|28
|(0, 7, 22)
|[1, 3]
|0.00798
|0.04466
|-
|26
|(0, 13, 23)
|[1, 1]
|0.00798
|0.02055
|-
|22
|(0, 9, 13)
|[2, 1]
|0.00800
|0.04849
|-
|23
|(0, 14, 19)
|[2, 1]
|0.00802
|0.03195
|-
|8
|(0, 2, 5)
|[1, 2]
|0.00804
|0.04497
|-
|16
|(0, 4, 10)
|[1, 2]
|0.00804
|0.04497
|-
|24
|(0, 6, 15)
|[1, 2]
|0.00804
|0.04497
|-
|30
|(0, 14, 25)
|[1, 1]
|0.00804
|0.02216
|-
|15
|(0, 7, 10)
|[2, 1]
|0.00806
|0.04226
|-
|30
|(0, 14, 20)
|[2, 1]
|0.00806
|0.04226
|-
|19
|(0, 8, 11)
|[2, 1]
|0.00810
|0.04942
|-
|27
|(0, 19, 24)
|[3, 1]
|0.00811
|0.03913
|-
|17
|(0, 10, 14)
|[2, 1]
|0.00811
|0.03281
|-
|28
|(0, 18, 25)
|[2, 1]
|0.00817
|0.02988
|-
|24
|(0, 15, 22)
|[3, 2]
|0.00820
|0.04668
|-
|30
|(0, 18, 23)
|[3, 1]
|0.00823
|0.04797
|-
|27
|(0, 11, 20)
|[1, 1]
|0.00824
|0.02604
|-
|23
|(0, 13, 22)
|[1, 1]
|0.00832
|0.01948
|-
|27
|(0, 10, 24)
|[1, 2]
|0.00832
|0.03037
|-
|23
|(0, 6, 20)
|[1, 3]
|0.00832
|0.04119
|-
|30
|(0, 20, 27)
|[2, 1]
|0.00834
|0.02992
|-
|18
|(0, 8, 17)
|[2, 3]
|0.00835
|0.04605
|-
|30
|(0, 9, 17)
|[1, 1]
|0.00841
|0.03623
|-
|20
|(0, 8, 19)
|[1, 2]
|0.00843
|0.02834
|-
|26
|(0, 17, 21)
|[3, 1]
|0.00844
|0.04548
|-
|22
|(0, 15, 19)
|[3, 1]
|0.00844
|0.04231
|-
|11
|(0, 4, 7)
|[1, 1]
|0.00846
|0.03148
|-
|22
|(0, 8, 14)
|[1, 1]
|0.00846
|0.03148
|-
|21
|(0, 5, 17)
|[1, 3]
|0.00846
|0.04589
|-
|28
|(0, 22, 27)
|[3, 1]
|0.00850
|0.03655
|-
|22
|(0, 12, 21)
|[1, 1]
|0.00850
|0.02009
|-
|25
|(0, 8, 15)
|[1, 1]
|0.00852
|0.03436
|-
|25
|(0, 7, 23)
|[1, 3]
|0.00857
|0.03946
|-
|21
|(0, 7, 17)
|[1, 2]
|0.00858
|0.03514
|-
|20
|(0, 13, 19)
|[3, 2]
|0.00861
|0.04679
|-
|23
|(0, 12, 17)
|[2, 1]
|0.00868
|0.04013
|-
|18
|(0, 13, 16)
|[3, 1]
|0.00873
|0.04166
|-
|25
|(0, 11, 19)
|[1, 1]
|0.00882
|0.02678
|-
|27
|(0, 17, 23)
|[2, 1]
|0.00884
|0.03392
|-
|21
|(0, 11, 15)
|[2, 1]
|0.00885
|0.04205
|-
|29
|(0, 9, 22)
|[1, 2]
|0.00890
|0.03944
|-
|20
|(0, 7, 13)
|[1, 1]
|0.00897
|0.03297
|-
|29
|(0, 7, 19)
|[1, 2]
|0.00899
|0.04801
|-
|29
|(0, 14, 24)
|[1, 1]
|0.00899
|0.02479
|-
|21
|(0, 8, 20)
|[1, 2]
|0.00900
|0.03033
|-
|17
|(0, 11, 14)
|[3, 1]
|0.00906
|0.04827
|-
|27
|(0, 8, 26)
|[1, 3]
|0.00906
|0.03932
|-
|24
|(0, 14, 19)
|[2, 1]
|0.00909
|0.03814
|-
|23
|(0, 8, 14)
|[1, 1]
|0.00912
|0.03568
|-
|25
|(0, 15, 21)
|[2, 1]
|0.00914
|0.03610
|-
|29
|(0, 14, 20)
|[2, 1]
|0.00931
|0.04687
|-
|28
|(0, 16, 27)
|[1, 1]
|0.00934
|0.02168
|-
|27
|(0, 11, 26)
|[1, 2]
|0.00936
|0.03093
|-
|29
|(0, 16, 28)
|[1, 1]
|0.00943
|0.02201
|-
|19
|(0, 10, 17)
|[1, 1]
|0.00949
|0.02394
|-
|29
|(0, 22, 27)
|[3, 1]
|0.00951
|0.04277
|-
|22
|(0, 11, 15)
|[2, 1]
|0.00952
|0.04781
|-
|29
|(0, 9, 17)
|[1, 1]
|0.00952
|0.03946
|-
|12
|(0, 4, 7)
|[1, 1]
|0.00963
|0.03951
|-
|24
|(0, 8, 14)
|[1, 1]
|0.00963
|0.03951
|-
|27
|(0, 8, 21)
|[1, 2]
|0.00965
|0.04183
|-
|16
|(0, 5, 13)
|[1, 2]
|0.00970
|0.03984
|-
|30
|(0, 21, 29)
|[2, 1]
|0.00974
|0.03230
|-
|26
|(0, 10, 25)
|[1, 2]
|0.00976
|0.03249
|-
|30
|(0, 9, 22)
|[1, 2]
|0.00979
|0.04519
|-
|28
|(0, 17, 23)
|[2, 1]
|0.00982
|0.03938
|-
|26
|(0, 11, 19)
|[1, 1]
|0.00986
|0.03129
|-
|14
|(0, 5, 12)
|[1, 2]
|0.00987
|0.03767
|-
|28
|(0, 10, 24)
|[1, 2]
|0.00987
|0.03767
|-
|11
|(0, 3, 8)
|[1, 2]
|0.00988
|0.04648
|-
|22
|(0, 6, 16)
|[1, 2]
|0.00988
|0.04648
|-
|25
|(0, 14, 19)
|[2, 1]
|0.00994
|0.04378
|-
|24
|(0, 8, 15)
|[1, 1]
|0.01000
|0.03852
|-
|25
|(0, 8, 14)
|[1, 1]
|0.01001
|0.04301
|-
|21
|(0, 7, 18)
|[1, 2]
|0.01002
|0.03851
|-
|22
|(0, 7, 17)
|[1, 2]
|0.01005
|0.04353
|-
|19
|(0, 13, 18)
|[2, 1]
|0.01005
|0.03418
|-
|11
|(0, 5, 9)
|[1, 1]
|0.01005
|0.02834
|-
|22
|(0, 10, 18)
|[1, 1]
|0.01005
|0.02834
|-
|26
|(0, 19, 24)
|[3, 1]
|0.01007
|0.04638
|-
|15
|(0, 7, 12)
|[1, 1]
|0.01016
|0.02909
|-
|30
|(0, 14, 24)
|[1, 1]
|0.01016
|0.02909
|-
|26
|(0, 11, 20)
|[1, 1]
|0.01019
|0.03086
|-
|29
|(0, 14, 25)
|[1, 1]
|0.01020
|0.02709
|-
|13
|(0, 4, 7)
|[1, 1]
|0.01030
|0.04622
|-
|26
|(0, 8, 14)
|[1, 1]
|0.01030
|0.04622
|-
|30
|(0, 22, 27)
|[3, 1]
|0.01034
|0.04853
|-
|26
|(0, 9, 23)
|[1, 2]
|0.01036
|0.03831
|-
|27
|(0, 18, 25)
|[2, 1]
|0.01043
|0.03651
|-
|18
|(0, 9, 16)
|[1, 1]
|0.01043
|0.02674
|-
|15
|(0, 6, 11)
|[1, 1]
|0.01049
|0.03358
|-
|30
|(0, 12, 22)
|[1, 1]
|0.01049
|0.03358
|-
|27
|(0, 8, 14)
|[1, 1]
|0.01051
|0.04919
|-
|24
|(0, 13, 22)
|[1, 1]
|0.01054
|0.02585
|-
|26
|(0, 14, 19)
|[2, 1]
|0.01060
|0.04895
|-
|29
|(0, 17, 23)
|[2, 1]
|0.01062
|0.04441
|-
|22
|(0, 12, 17)
|[2, 1]
|0.01069
|0.04689
|-
|27
|(0, 11, 19)
|[1, 1]
|0.01070
|0.03542
|-
|28
|(0, 9, 17)
|[1, 1]
|0.01078
|0.04296
|-
|30
|(0, 17, 24)
|[2, 1]
|0.01079
|0.04534
|-
|25
|(0, 13, 23)
|[1, 1]
|0.01082
|0.02669
|-
|21
|(0, 8, 19)
|[1, 2]
|0.01087
|0.03878
|-
|19
|(0, 7, 13)
|[1, 1]
|0.01116
|0.03871
|-
|29
|(0, 10, 24)
|[1, 2]
|0.01116
|0.04443
|-
|29
|(0, 16, 27)
|[1, 1]
|0.01119
|0.02699
|-
|28
|(0, 11, 26)
|[1, 2]
|0.01125
|0.03888
|-
|30
|(0, 17, 23)
|[2, 1]
|0.01127
|0.04908
|-
|24
|(0, 7, 23)
|[1, 3]
|0.01136
|0.04965
|-
|28
|(0, 11, 19)
|[1, 1]
|0.01137
|0.03923
|-
|28
|(0, 9, 27)
|[1, 3]
|0.01144
|0.04932
|-
|8
|(0, 5, 7)
|[2, 1]
|0.01148
|0.04316
|-
|16
|(0, 10, 14)
|[2, 1]
|0.01148
|0.04316
|-
|24
|(0, 15, 21)
|[2, 1]
|0.01148
|0.04316
|-
|20
|(0, 10, 17)
|[1, 1]
|0.01159
|0.03096
|-
|23
|(0, 8, 15)
|[1, 1]
|0.01174
|0.04309
|-
|26
|(0, 8, 21)
|[1, 2]
|0.01177
|0.04874
|-
|29
|(0, 11, 19)
|[1, 1]
|0.01191
|0.04275
|-
|16
|(0, 7, 12)
|[1, 1]
|0.01195
|0.03677
|-
|27
|(0, 9, 17)
|[1, 1]
|0.01222
|0.04674
|-
|29
|(0, 12, 22)
|[1, 1]
|0.01230
|0.03789
|-
|25
|(0, 13, 22)
|[1, 1]
|0.01231
|0.03161
|-
|30
|(0, 11, 19)
|[1, 1]
|0.01234
|0.04602
|-
|25
|(0, 11, 20)
|[1, 1]
|0.01247
|0.03614
|-
|28
|(0, 14, 25)
|[1, 1]
|0.01271
|0.03246
|-
|30
|(0, 16, 27)
|[1, 1]
|0.01273
|0.03187
|-
|22
|(0, 8, 19)
|[1, 2]
|0.01277
|0.04822
|-
|29
|(0, 11, 26)
|[1, 2]
|0.01282
|0.04625
|-
|26
|(0, 18, 25)
|[2, 1]
|0.01308
|0.04375
|-
|21
|(0, 10, 18)
|[1, 1]
|0.01311
|0.03509
|-
|30
|(0, 11, 28)
|[1, 2]
|0.01315
|0.04549
|-
|17
|(0, 7, 12)
|[1, 1]
|0.01318
|0.04344
|-
|21
|(0, 10, 17)
|[1, 1]
|0.01319
|0.03720
|-
|25
|(0, 9, 23)
|[1, 2]
|0.01323
|0.04661
|-
|20
|(0, 7, 18)
|[1, 2]
|0.01340
|0.04854
|-
|26
|(0, 13, 22)
|[1, 1]
|0.01374
|0.03684
|-
|22
|(0, 8, 15)
|[1, 1]
|0.01379
|0.04812
|-
|18
|(0, 7, 13)
|[1, 1]
|0.01384
|0.04518
|-
|29
|(0, 12, 28)
|[1, 2]
|0.01385
|0.04555
|-
|29
|(0, 21, 28)
|[2, 1]
|0.01393
|0.04567
|-
|18
|(0, 7, 12)
|[1, 1]
|0.01403
|0.04929
|-
|25
|(0, 18, 24)
|[2, 1]
|0.01412
|0.04664
|-
|24
|(0, 13, 23)
|[1, 1]
|0.01420
|0.03348
|-
|14
|(0, 6, 11)
|[1, 1]
|0.01438
|0.04257
|-
|28
|(0, 12, 22)
|[1, 1]
|0.01438
|0.04257
|-
|21
|(0, 15, 20)
|[2, 1]
|0.01439
|0.04798
|-
|22
|(0, 10, 17)
|[1, 1]
|0.01440
|0.04278
|-
|22
|(0, 9, 21)
|[1, 2]
|0.01441
|0.04808
|-
|-
|17
|23
|(0, 12, 16)
|0,16,20
|[2, 1]
| +3+1
|0.01477
|0.00058
|0.04995
|-
|27
|(0, 13, 22)
|[1, 1]
|0.01488
|0.04162
|-
|17
|(0, 9, 16)
|[1, 1]
|0.01494
|0.03597
|-
|24
|(0, 11, 20)
|[1, 1]
|0.01516
|0.04194
|-
|-
|23
|23
|(0, 10, 17)
|0,16,22
|[1, 1]
| +2+1
|0.01531
|0.00634
|0.04782
|-
|27
|(0, 14, 25)
|[1, 1]
|0.01562
|0.03832
|-
|28
|(0, 13, 22)
|[1, 1]
|0.01580
|0.04601
|-
|26
|(0, 15, 25)
|[1, 1]
|0.01607
|0.03731
|-
|21
|(0, 12, 20)
|[1, 1]
|0.01651
|0.03874
|-
|27
|(0, 12, 22)
|[1, 1]
|0.01677
|0.04766
|-
|10
|(0, 5, 9)
|[1, 1]
|0.01683
|0.04267
|-
|20
|(0, 10, 18)
|[1, 1]
|0.01683
|0.04267
|-
|30
|(0, 15, 27)
|[1, 1]
|0.01683
|0.04267
|-
|16
|(0, 9, 15)
|[1, 1]
|0.01719
|0.04103
|-
|27
|(0, 15, 25)
|[1, 1]
|0.01769
|0.04280
|-
|-
|23
|23
|(0, 11, 20)
|0,17,21
|[1, 1]
| +3+1
|0.01833
|0.00558
|0.04836
|-
|11
|(0, 6, 10)
|[1, 1]
|0.01838
|0.04537
|-
|22
|(0, 12, 20)
|[1, 1]
|0.01838
|0.04537
|-
|28
|(0, 15, 25)
|[1, 1]
|0.01899
|0.04782
|-
|26
|(0, 14, 25)
|[1, 1]
|0.01902
|0.04476
|-
|17
|(0, 9, 15)
|[1, 1]
|0.01937
|0.04940
|-
|29
|(0, 15, 27)
|[1, 1]
|0.01977
|0.04827
|}
|}
[[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
10 0,2,7 +1+3 0.00840
10 0,3,4 +3+1 0.00686
10 0,4,5 +3+1 0.00715
10 0,4,6 +3+2 0.00891
10 0,4,7 +1+1 0.00684
10 0,5,7 +2+1 0.00180
10 0,6,9 +3+2 0.00347
11 0,1,2 +1+1 0.00199
11 0,1,3 +1+2 0.00458
11 0,1,4 +1+3 0.00750
11 0,2,3 +2+1 0.00375
11 0,2,3 +3+2 0.00836
11 0,2,4 +1+1 0.00850
11 0,2,7 +1+3 0.00485
11 0,3,4 +3+1 0.00558
11 0,4,5 +3+1 0.00719
11 0,4,6 +3+2 0.00970
11 0,4,7 +1+1 0.00892
11 0,4,10 +1+2 0.00632
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 0,1,2 +1+1 0.00167
12 0,1,3 +1+2 0.00382
12 0,1,4 +1+3 0.00624
12 0,2,3 +2+1 0.00312
12 0,2,3 +3+2 0.00790
12 0,2,4 +1+1 0.00707
12 0,2,7 +1+3 0.00239
12 0,3,4 +3+1 0.00463
12 0,3,8 +1+2 0.00699
12 0,3,10 +1+3 0.00706
12 0,4,5 +3+1 0.00710
12 0,4,10 +1+2 0.00072
12 0,5,7 +2+1 0.00224
12 0,5,9 +1+1 0.00571
12 0,6,9 +3+2 0.00454
12 0,8,10 +3+1 0.00085
12 0,8,11 +2+1 0.00376
13 0,1,2 +1+1 0.00141
13 0,1,2 +2+3 0.00985
13 0,1,3 +1+2 0.00324
13 0,1,4 +1+3 0.00528
13 0,2,3 +2+1 0.00264
13 0,2,3 +3+2 0.00747
13 0,2,4 +1+1 0.00597
13 0,2,5 +2+3 0.00977
13 0,2,7 +1+3 0.00065
13 0,3,4 +3+1 0.00391
13 0,3,5 +3+2 0.00870
13 0,3,7 +2+3 0.00758
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23 0,2,7 +1+3 0.00386
23 0,2,8 +1+3 0.00683
23 0,3,4 +2+1 0.00782
23 0,3,4 +3+1 0.00118
23 0,3,5 +3+2 0.00261
23 0,3,6 +1+1 0.00422
23 0,3,7 +2+3 0.00069
23 0,3,8 +1+2 0.00397
23 0,3,9 +1+2 0.00980
23 0,3,10 +1+3 0.00758
23 0,3,11 +1+3 0.00412
23 0,4,5 +3+1 0.00496
23 0,4,6 +2+1 0.00341
23 0,4,6 +3+2 0.00813
23 0,4,8 +1+1 0.00774
23 0,4,9 +2+3 0.00352
23 0,4,11 +1+2 0.00308
23 0,4,13 +1+3 0.00929
23 0,4,14 +1+3 0.00351
23 0,5,7 +2+1 0.00514
23 0,5,8 +3+2 0.00084
23 0,5,9 +1+1 0.00645
23 0,5,11 +2+3 0.00546
23 0,5,13 +1+2 0.00293
23 0,5,16 +1+3 0.00874
23 0,5,17 +1+3 0.00528
23 0,6,8 +3+1 0.00508
23 0,6,9 +2+1 0.00808
23 0,6,9 +3+2 0.00995
23 0,6,11 +1+1 0.00157
23 0,6,13 +2+3 0.00642
23 0,6,15 +1+2 0.00816
23 0,6,16 +1+2 0.00884
23 0,6,19 +1+3 0.00564
23 0,6,20 +1+3 0.00970
23 0,7,9 +3+1 0.00095
23 0,7,10 +2+1 0.00033
23 0,7,11 +3+2 0.00086
23 0,7,13 +1+1 0.00466
23 0,7,15 +2+3 0.00631
23 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 0.00993
23 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 0.00296
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
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