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Delta-rational chord: Difference between revisions

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== DR triads in small edos ==
== DR triads in small edos ==
Shown below are approximate DR triads in edos < 24 with symmetric least-squared error < 0.05. All delta signatures are in the 3-integer limit.
Shown below are approximate DR triads in edos < 24 with symmetric least-squared error < 0.05. All delta signatures are in the 3-integer limit.
{| class="wikitable sortable"
! EDO
! Steps
! Delta signature
! Naive LS error
! Symmetric LS error
|-
| 6
| 0, 2, 5
| +1+2
| 0.0025
| 0.0026
|-
| 6
| 0, 4, 5
| +3+1
| 0.0043
| 0.0044
|-
| 7
| 0, 1, 2
| +1+1
| 0.0447
| 0.0449
|-
| 7
| 0, 2, 5
| +1+2
| 0.0242
| 0.0247
|-
| 7
| 0, 4, 5
| +3+1
| 0.0273
| 0.0277
|-
| 7
| 0, 4, 6
| +3+2
| 0.0046
| 0.0047
|-
| 8
| 0, 1, 2
| +1+1
| 0.0391
| 0.0392
|-
| 8
| 0, 4, 7
| +1+1
| 0.0060
| 0.0065
|-
| 8
| 0, 2, 5
| +1+2
| 0.0442
| 0.0450
|-
| 8
| 0, 5, 7
| +2+1
| 0.0416
| 0.0432
|-
| 8
| 0, 4, 5
| +3+1
| 0.0443
| 0.0447
|-
| 8
| 0, 4, 6
| +3+2
| 0.0322
| 0.0325
|-
| 9
| 0, 1, 2
| +1+1
| 0.0347
| 0.0348
|-
| 9
| 0, 4, 7
| +1+1
| 0.0089
| 0.0094
|-
| 9
| 0, 5, 7
| +2+1
| 0.0231
| 0.0238
|-
| 10
| 0, 1, 2
| +1+1
| 0.0312
| 0.0313
|-
| 10
| 0, 4, 7
| +1+1
| 0.0207
| 0.0217
|-
| 10
| 0, 5, 9
| +1+1
| 0.0392
| 0.0427
|-
| 10
| 0, 2, 7
| +1+3
| 0.0463
| 0.0468
|-
| 10
| 0, 5, 7
| +2+1
| 0.0085
| 0.0087
|-
| 10
| 0, 6, 9
| +3+2
| 0.0195
| 0.0197
|-
| 11
| 0, 1, 2
| +1+1
| 0.0283
| 0.0284
|-
| 11
| 0, 4, 7
| +1+1
| 0.0303
| 0.0315
|-
| 11
| 0, 5, 9
| +1+1
| 0.0265
| 0.0283
|-
| 11
| 0, 6, 10
| +1+1
| 0.0415
| 0.0454
|-
| 11
| 0, 3, 8
| +1+2
| 0.0454
| 0.0465
|-
| 11
| 0, 4, 10
| +1+2
| 0.0193
| 0.0202
|-
| 11
| 0, 2, 7
| +1+3
| 0.0301
| 0.0304
|-
| 11
| 0, 5, 7
| +2+1
| 0.0034
| 0.0034
|-
| 11
| 0, 8, 10
| +3+1
| 0.0106
| 0.0108
|-
| 11
| 0, 6, 9
| +3+2
| 0.0088
| 0.0089
|-
| 12
| 0, 1, 2
| +1+1
| 0.0260
| 0.0260
|-
| 12
| 0, 4, 7
| +1+1
| 0.0383
| 0.0395
|-
| 12
| 0, 5, 9
| +1+1
| 0.0159
| 0.0168
|-
| 12
| 0, 3, 8
| +1+2
| 0.0321
| 0.0327
|-
| 12
| 0, 4, 10
| +1+2
| 0.0025
| 0.0026
|-
| 12
| 0, 2, 7
| +1+3
| 0.0165
| 0.0166
|-
| 12
| 0, 3, 10
| +1+3
| 0.0310
| 0.0316
|-
| 12
| 0, 2, 3
| +2+1
| 0.0489
| 0.0490
|-
| 12
| 0, 5, 7
| +2+1
| 0.0132
| 0.0133
|-
| 12
| 0, 8, 11
| +2+1
| 0.0125
| 0.0130
|-
| 12
| 0, 8, 10
| +3+1
| 0.0043
| 0.0044
|-
| 12
| 0, 6, 9
| +3+2
| 0.0322
| 0.0325
|-
| 13
| 0, 1, 2
| +1+1
| 0.0240
| 0.0240
|-
| 13
| 0, 2, 4
| +1+1
| 0.0481
| 0.0485
|-
| 13
| 0, 4, 7
| +1+1
| 0.0451
| 0.0462
|-
| 13
| 0, 5, 9
| +1+1
| 0.0070
| 0.0074
|-
| 13
| 0, 7, 12
| +1+1
| 0.0087
| 0.0095
|-
| 13
| 0, 3, 8
| +1+2
| 0.0207
| 0.0210
|-
| 13
| 0, 4, 10
| +1+2
| 0.0119
| 0.0122
|-
| 13
| 0, 5, 12
| +1+2
| 0.0215
| 0.0225
|-
| 13
| 0, 2, 7
| +1+3
| 0.0049
| 0.0050
|-
| 13
| 0, 3, 10
| +1+3
| 0.0145
| 0.0147
|-
| 13
| 0, 2, 3
| +2+1
| 0.0451
| 0.0452
|-
| 13
| 0, 5, 7
| +2+1
| 0.0214
| 0.0217
|-
| 13
| 0, 8, 11
| +2+1
| 0.0005
| 0.0005
|-
| 13
| 0, 8, 10
| +3+1
| 0.0167
| 0.0170
|-
| 13
| 0, 8, 12
| +3+2
| 0.0275
| 0.0279
|-
| 14
| 0, 1, 2
| +1+1
| 0.0222
| 0.0223
|-
| 14
| 0, 2, 4
| +1+1
| 0.0447
| 0.0449
|-
| 14
| 0, 5, 9
| +1+1
| 0.0006
| 0.0006
|-
| 14
| 0, 6, 11
| +1+1
| 0.0401
| 0.0426
|-
| 14
| 0, 7, 12
| +1+1
| 0.0186
| 0.0201
|-
| 14
| 0, 1, 3
| +1+2
| 0.0468
| 0.0469
|-
| 14
| 0, 3, 8
| +1+2
| 0.0110
| 0.0111
|-
| 14
| 0, 4, 10
| +1+2
| 0.0242
| 0.0247
|-
| 14
| 0, 5, 12
| +1+2
| 0.0363
| 0.0377
|-
| 14
| 0, 2, 7
| +1+3
| 0.0050
| 0.0050
|-
| 14
| 0, 3, 10
| +1+3
| 0.0002
| 0.0002
|-
| 14
| 0, 4, 13
| +1+3
| 0.0294
| 0.0301
|-
| 14
| 0, 2, 3
| +2+1
| 0.0418
| 0.0419
|-
| 14
| 0, 5, 7
| +2+1
| 0.0284
| 0.0287
|-
| 14
| 0, 8, 11
| +2+1
| 0.0116
| 0.0119
|-
| 14
| 0, 4, 9
| +2+3
| 0.0461
| 0.0464
|-
| 14
| 0, 7, 9
| +3+1
| 0.0393
| 0.0397
|-
| 14
| 0, 8, 10
| +3+1
| 0.0273
| 0.0277
|-
| 14
| 0, 8, 12
| +3+2
| 0.0046
| 0.0047
|-
| 15
| 0, 1, 2
| +1+1
| 0.0208
| 0.0208
|-
| 15
| 0, 2, 4
| +1+1
| 0.0417
| 0.0419
|-
| 15
| 0, 5, 9
| +1+1
| 0.0071
| 0.0074
|-
| 15
| 0, 6, 11
| +1+1
| 0.0319
| 0.0336
|-
| 15
| 0, 7, 12
| +1+1
| 0.0273
| 0.0291
|-
| 15
| 0, 8, 14
| +1+1
| 0.0149
| 0.0164
|-
| 15
| 0, 1, 3
| +1+2
| 0.0437
| 0.0437
|-
| 15
| 0, 3, 8
| +1+2
| 0.0025
| 0.0025
|-
| 15
| 0, 4, 10
| +1+2
| 0.0349
| 0.0355
|-
| 15
| 0, 2, 7
| +1+3
| 0.0137
| 0.0137
|-
| 15
| 0, 3, 10
| +1+3
| 0.0122
| 0.0123
|-
| 15
| 0, 4, 13
| +1+3
| 0.0134
| 0.0137
|-
| 15
| 0, 2, 3
| +2+1
| 0.0390
| 0.0391
|-
| 15
| 0, 5, 7
| +2+1
| 0.0345
| 0.0348
|-
| 15
| 0, 7, 10
| +2+1
| 0.0415
| 0.0423
|-
| 15
| 0, 8, 11
| +2+1
| 0.0211
| 0.0216
|-
| 15
| 0, 3, 7
| +2+3
| 0.0496
| 0.0498
|-
| 15
| 0, 4, 9
| +2+3
| 0.0294
| 0.0296
|-
| 15
| 0, 5, 11
| +2+3
| 0.0356
| 0.0359
|-
| 15
| 0, 7, 9
| +3+1
| 0.0304
| 0.0306
|-
| 15
| 0, 8, 10
| +3+1
| 0.0364
| 0.0368
|-
| 15
| 0, 8, 12
| +3+2
| 0.0151
| 0.0152
|-
| 16
| 0, 1, 2
| +1+1
| 0.0195
| 0.0195
|-
| 16
| 0, 2, 4
| +1+1
| 0.0391
| 0.0392
|-
| 16
| 0, 5, 9
| +1+1
| 0.0129
| 0.0132
|-
| 16
| 0, 6, 11
| +1+1
| 0.0248
| 0.0259
|-
| 16
| 0, 7, 12
| +1+1
| 0.0348
| 0.0368
|-
| 16
| 0, 8, 14
| +1+1
| 0.0060
| 0.0065
|-
| 16
| 0, 9, 15
| +1+1
| 0.0373
| 0.0410
|-
| 16
| 0, 1, 3
| +1+2
| 0.0410
| 0.0410
|-
| 16
| 0, 3, 8
| +1+2
| 0.0049
| 0.0050
|-
| 16
| 0, 4, 10
| +1+2
| 0.0442
| 0.0450
|-
| 16
| 0, 5, 13
| +1+2
| 0.0386
| 0.0398
|-
| 16
| 0, 6, 15
| +1+2
| 0.0257
| 0.0268
|-
| 16
| 0, 2, 7
| +1+3
| 0.0213
| 0.0213
|-
| 16
| 0, 3, 10
| +1+3
| 0.0231
| 0.0233
|-
| 16
| 0, 4, 13
| +1+3
| 0.0007
| 0.0008
|-
| 16
| 0, 2, 3
| +2+1
| 0.0365
| 0.0366
|-
| 16
| 0, 5, 7
| +2+1
| 0.0398
| 0.0401
|-
| 16
| 0, 7, 10
| +2+1
| 0.0334
| 0.0340
|-
| 16
| 0, 8, 11
| +2+1
| 0.0294
| 0.0300
|-
| 16
| 0, 10, 14
| +2+1
| 0.0416
| 0.0432
|-
| 16
| 0, 11, 15
| +2+1
| 0.0010
| 0.0010
|-
| 16
| 0, 3, 7
| +2+3
| 0.0383
| 0.0384
|-
| 16
| 0, 4, 9
| +2+3
| 0.0148
| 0.0149
|-
| 16
| 0, 5, 11
| +2+3
| 0.0178
| 0.0179
|-
| 16
| 0, 6, 13
| +2+3
| 0.0348
| 0.0352
|-
| 16
| 0, 7, 9
| +3+1
| 0.0227
| 0.0228
|-
| 16
| 0, 8, 10
| +3+1
| 0.0443
| 0.0447
|-
| 16
| 0, 12, 15
| +3+1
| 0.0162
| 0.0166
|-
| 16
| 0, 8, 12
| +3+2
| 0.0322
| 0.0325
|-
| 16
| 0, 10, 15
| +3+2
| 0.0325
| 0.0330
|-
| 17
| 0, 1, 2
| +1+1
| 0.0183
| 0.0183
|-
| 17
| 0, 2, 4
| +1+1
| 0.0367
| 0.0369
|-
| 17
| 0, 5, 9
| +1+1
| 0.0179
| 0.0184
|-
| 17
| 0, 6, 11
| +1+1
| 0.0185
| 0.0192
|-
| 17
| 0, 7, 12
| +1+1
| 0.0414
| 0.0434
|-
| 17
| 0, 8, 14
| +1+1
| 0.0019
| 0.0020
|-
| 17
| 0, 9, 15
| +1+1
| 0.0454
| 0.0494
|-
| 17
| 0, 9, 16
| +1+1
| 0.0327
| 0.0360
|-
| 17
| 0, 1, 3
| +1+2
| 0.0386
| 0.0386
|-
| 17
| 0, 3, 8
| +1+2
| 0.0115
| 0.0116
|-
| 17
| 0, 5, 13
| +1+2
| 0.0281
| 0.0288
|-
| 17
| 0, 6, 15
| +1+2
| 0.0134
| 0.0139
|-
| 17
| 0, 2, 7
| +1+3
| 0.0280
| 0.0281
|-
| 17
| 0, 3, 10
| +1+3
| 0.0328
| 0.0331
|-
| 17
| 0, 4, 13
| +1+3
| 0.0133
| 0.0135
|-
| 17
| 0, 5, 16
| +1+3
| 0.0164
| 0.0168
|-
| 17
| 0, 2, 3
| +2+1
| 0.0344
| 0.0344
|-
| 17
| 0, 5, 7
| +2+1
| 0.0444
| 0.0447
|-
| 17
| 0, 7, 10
| +2+1
| 0.0264
| 0.0267
|-
| 17
| 0, 8, 11
| +2+1
| 0.0366
| 0.0373
|-
| 17
| 0, 10, 14
| +2+1
| 0.0318
| 0.0328
|-
| 17
| 0, 11, 15
| +2+1
| 0.0110
| 0.0114
|-
| 17
| 0, 12, 16
| +2+1
| 0.0477
| 0.0499
|-
| 17
| 0, 3, 7
| +2+3
| 0.0283
| 0.0284
|-
| 17
| 0, 4, 9
| +2+3
| 0.0020
| 0.0020
|-
| 17
| 0, 5, 11
| +2+3
| 0.0021
| 0.0021
|-
| 17
| 0, 6, 13
| +2+3
| 0.0163
| 0.0164
|-
| 17
| 0, 7, 15
| +2+3
| 0.0389
| 0.0394
|-
| 17
| 0, 3, 4
| +3+1
| 0.0499
| 0.0500
|-
| 17
| 0, 7, 9
| +3+1
| 0.0159
| 0.0160
|-
| 17
| 0, 11, 14
| +3+1
| 0.0474
| 0.0483
|-
| 17
| 0, 12, 15
| +3+1
| 0.0053
| 0.0054
|-
| 17
| 0, 13, 16
| +3+1
| 0.0310
| 0.0318
|-
| 17
| 0, 8, 12
| +3+2
| 0.0472
| 0.0476
|-
| 17
| 0, 10, 15
| +3+2
| 0.0133
| 0.0135
|-
| 18
| 0, 1, 2
| +1+1
| 0.0173
| 0.0173
|-
| 18
| 0, 2, 4
| +1+1
| 0.0347
| 0.0348
|-
| 18
| 0, 5, 9
| +1+1
| 0.0224
| 0.0229
|-
| 18
| 0, 6, 11
| +1+1
| 0.0129
| 0.0134
|-
| 18
| 0, 7, 12
| +1+1
| 0.0472
| 0.0493
|-
| 18
| 0, 7, 13
| +1+1
| 0.0430
| 0.0452
|-
| 18
| 0, 8, 14
| +1+1
| 0.0089
| 0.0094
|-
| 18
| 0, 9, 16
| +1+1
| 0.0246
| 0.0267
|-
| 18
| 0, 10, 17
| +1+1
| 0.0145
| 0.0160
|-
| 18
| 0, 1, 3
| +1+2
| 0.0364
| 0.0365
|-
| 18
| 0, 3, 8
| +1+2
| 0.0173
| 0.0174
|-
| 18
| 0, 5, 13
| +1+2
| 0.0186
| 0.0191
|-
| 18
| 0, 6, 15
| +1+2
| 0.0025
| 0.0026
|-
| 18
| 0, 7, 17
| +1+2
| 0.0038
| 0.0040
|-
| 18
| 0, 2, 7
| +1+3
| 0.0340
| 0.0341
|-
| 18
| 0, 3, 10
| +1+3
| 0.0414
| 0.0417
|-
| 18
| 0, 4, 13
| +1+3
| 0.0244
| 0.0248
|-
| 18
| 0, 5, 16
| +1+3
| 0.0028
| 0.0028
|-
| 18
| 0, 2, 3
| +2+1
| 0.0324
| 0.0325
|-
| 18
| 0, 5, 7
| +2+1
| 0.0485
| 0.0488
|-
| 18
| 0, 7, 10
| +2+1
| 0.0201
| 0.0204
|-
| 18
| 0, 8, 11
| +2+1
| 0.0430
| 0.0437
|-
| 18
| 0, 10, 14
| +2+1
| 0.0231
| 0.0238
|-
| 18
| 0, 11, 15
| +2+1
| 0.0198
| 0.0205
|-
| 18
| 0, 3, 7
| +2+3
| 0.0194
| 0.0194
|-
| 18
| 0, 4, 9
| +2+3
| 0.0094
| 0.0095
|-
| 18
| 0, 5, 11
| +2+3
| 0.0119
| 0.0120
|-
| 18
| 0, 6, 13
| +2+3
| 0.0002
| 0.0002
|-
| 18
| 0, 7, 15
| +2+3
| 0.0198
| 0.0201
|-
| 18
| 0, 8, 17
| +2+3
| 0.0453
| 0.0461
|-
| 18
| 0, 3, 4
| +3+1
| 0.0471
| 0.0472
|-
| 18
| 0, 7, 9
| +3+1
| 0.0099
| 0.0099
|-
| 18
| 0, 11, 14
| +3+1
| 0.0380
| 0.0386
|-
| 18
| 0, 12, 15
| +3+1
| 0.0043
| 0.0044
|-
| 18
| 0, 13, 16
| +3+1
| 0.0407
| 0.0417
|-
| 18
| 0, 5, 8
| +3+2
| 0.0495
| 0.0497
|-
| 18
| 0, 10, 15
| +3+2
| 0.0036
| 0.0036
|-
| 19
| 0, 1, 2
| +1+1
| 0.0164
| 0.0164
|-
| 19
| 0, 2, 4
| +1+1
| 0.0329
| 0.0330
|-
| 19
| 0, 3, 6
| +1+1
| 0.0494
| 0.0498
|-
| 19
| 0, 5, 9
| +1+1
| 0.0264
| 0.0269
|-
| 19
| 0, 6, 11
| +1+1
| 0.0079
| 0.0082
|-
| 19
| 0, 7, 13
| +1+1
| 0.0371
| 0.0387
|-
| 19
| 0, 8, 14
| +1+1
| 0.0151
| 0.0159
|-
| 19
| 0, 9, 16
| +1+1
| 0.0174
| 0.0187
|-
| 19
| 0, 10, 17
| +1+1
| 0.0220
| 0.0239
|-
| 19
| 0, 1, 3
| +1+2
| 0.0345
| 0.0345
|-
| 19
| 0, 3, 8
| +1+2
| 0.0225
| 0.0227
|-
| 19
| 0, 4, 11
| +1+2
| 0.0433
| 0.0439
|-
| 19
| 0, 5, 13
| +1+2
| 0.0102
| 0.0104
|-
| 19
| 0, 6, 15
| +1+2
| 0.0073
| 0.0075
|-
| 19
| 0, 7, 17
| +1+2
| 0.0149
| 0.0155
|-
| 19
| 0, 2, 7
| +1+3
| 0.0393
| 0.0394
|-
| 19
| 0, 3, 10
| +1+3
| 0.0492
| 0.0495
|-
| 19
| 0, 4, 13
| +1+3
| 0.0345
| 0.0349
|-
| 19
| 0, 5, 16
| +1+3
| 0.0095
| 0.0097
|-
| 19
| 0, 2, 3
| +2+1
| 0.0307
| 0.0307
|-
| 19
| 0, 7, 10
| +2+1
| 0.0145
| 0.0147
|-
| 19
| 0, 8, 11
| +2+1
| 0.0487
| 0.0494
|-
| 19
| 0, 10, 14
| +2+1
| 0.0154
| 0.0158
|-
| 19
| 0, 11, 15
| +2+1
| 0.0277
| 0.0285
|-
| 19
| 0, 13, 18
| +2+1
| 0.0327
| 0.0342
|-
| 19
| 0, 3, 7
| +2+3
| 0.0115
| 0.0115
|-
| 19
| 0, 4, 9
| +2+3
| 0.0197
| 0.0197
|-
| 19
| 0, 5, 11
| +2+3
| 0.0244
| 0.0245
|-
| 19
| 0, 6, 13
| +2+3
| 0.0150
| 0.0151
|-
| 19
| 0, 7, 15
| +2+3
| 0.0028
| 0.0028
|-
| 19
| 0, 8, 17
| +2+3
| 0.0260
| 0.0264
|-
| 19
| 0, 3, 4
| +3+1
| 0.0446
| 0.0446
|-
| 19
| 0, 7, 9
| +3+1
| 0.0045
| 0.0045
|-
| 19
| 0, 11, 14
| +3+1
| 0.0296
| 0.0300
|-
| 19
| 0, 12, 15
| +3+1
| 0.0128
| 0.0130
|-
| 19
| 0, 5, 8
| +3+2
| 0.0412
| 0.0413
|-
| 19
| 0, 7, 11
| +3+2
| 0.0464
| 0.0466
|-
| 19
| 0, 10, 15
| +3+2
| 0.0187
| 0.0189
|-
| 19
| 0, 12, 18
| +3+2
| 0.0359
| 0.0365
|-
| 20
| 0, 1, 2
| +1+1
| 0.0156
| 0.0156
|-
| 20
| 0, 2, 4
| +1+1
| 0.0312
| 0.0313
|-
| 20
| 0, 3, 6
| +1+1
| 0.0469
| 0.0472
|-
| 20
| 0, 5, 9
| +1+1
| 0.0300
| 0.0305
|-
| 20
| 0, 6, 11
| +1+1
| 0.0035
| 0.0036
|-
| 20
| 0, 7, 13
| +1+1
| 0.0317
| 0.0330
|-
| 20
| 0, 8, 14
| +1+1
| 0.0207
| 0.0217
|-
| 20
| 0, 9, 16
| +1+1
| 0.0109
| 0.0116
|-
| 20
| 0, 10, 17
| +1+1
| 0.0287
| 0.0310
|-
| 20
| 0, 10, 18
| +1+1
| 0.0392
| 0.0427
|-
| 20
| 0, 11, 19
| +1+1
| 0.0036
| 0.0039
|-
| 20
| 0, 1, 3
| +1+2
| 0.0328
| 0.0328
|-
| 20
| 0, 3, 8
| +1+2
| 0.0272
| 0.0274
|-
| 20
| 0, 4, 11
| +1+2
| 0.0369
| 0.0374
|-
| 20
| 0, 5, 13
| +1+2
| 0.0026
| 0.0026
|-
| 20
| 0, 6, 15
| +1+2
| 0.0162
| 0.0166
|-
| 20
| 0, 7, 17
| +1+2
| 0.0250
| 0.0259
|-
| 20
| 0, 7, 18
| +1+2
| 0.0467
| 0.0485
|-
| 20
| 0, 8, 19
| +1+2
| 0.0271
| 0.0283
|-
| 20
| 0, 2, 7
| +1+3
| 0.0442
| 0.0443
|-
| 20
| 0, 4, 13
| +1+3
| 0.0436
| 0.0440
|-
| 20
| 0, 4, 14
| +1+3
| 0.0463
| 0.0468
|-
| 20
| 0, 5, 16
| +1+3
| 0.0206
| 0.0209
|-
| 20
| 0, 6, 19
| +1+3
| 0.0076
| 0.0078
|-
| 20
| 0, 2, 3
| +2+1
| 0.0292
| 0.0292
|-
| 20
| 0, 7, 10
| +2+1
| 0.0095
| 0.0096
|-
| 20
| 0, 10, 14
| +2+1
| 0.0085
| 0.0087
|-
| 20
| 0, 11, 15
| +2+1
| 0.0348
| 0.0357
|-
| 20
| 0, 13, 18
| +2+1
| 0.0238
| 0.0247
|-
| 20
| 0, 14, 19
| +2+1
| 0.0087
| 0.0091
|-
| 20
| 0, 3, 7
| +2+3
| 0.0043
| 0.0043
|-
| 20
| 0, 4, 9
| +2+3
| 0.0289
| 0.0290
|-
| 20
| 0, 5, 11
| +2+3
| 0.0356
| 0.0358
|-
| 20
| 0, 6, 13
| +2+3
| 0.0283
| 0.0285
|-
| 20
| 0, 7, 15
| +2+3
| 0.0125
| 0.0127
|-
| 20
| 0, 8, 17
| +2+3
| 0.0086
| 0.0087
|-
| 20
| 0, 9, 19
| +2+3
| 0.0335
| 0.0341
|-
| 20
| 0, 3, 4
| +3+1
| 0.0423
| 0.0424
|-
| 20
| 0, 7, 9
| +3+1
| 0.0003
| 0.0003
|-
| 20
| 0, 11, 14
| +3+1
| 0.0221
| 0.0223
|-
| 20
| 0, 12, 15
| +3+1
| 0.0205
| 0.0208
|-
| 20
| 0, 5, 8
| +3+2
| 0.0336
| 0.0337
|-
| 20
| 0, 7, 11
| +3+2
| 0.0361
| 0.0362
|-
| 20
| 0, 10, 15
| +3+2
| 0.0322
| 0.0325
|-
| 20
| 0, 12, 18
| +3+2
| 0.0195
| 0.0197
|-
| 20
| 0, 13, 19
| +3+2
| 0.0460
| 0.0468
|-
| 21
| 0, 1, 2
| +1+1
| 0.0148
| 0.0148
|-
| 21
| 0, 2, 4
| +1+1
| 0.0297
| 0.0298
|-
| 21
| 0, 3, 6
| +1+1
| 0.0447
| 0.0449
|-
| 21
| 0, 5, 9
| +1+1
| 0.0333
| 0.0338
|-
| 21
| 0, 6, 11
| +1+1
| 0.0006
| 0.0006
|-
| 21
| 0, 7, 13
| +1+1
| 0.0269
| 0.0278
|-
| 21
| 0, 8, 14
| +1+1
| 0.0257
| 0.0268
|-
| 21
| 0, 9, 16
| +1+1
| 0.0051
| 0.0054
|-
| 21
| 0, 10, 17
| +1+1
| 0.0348
| 0.0372
|-
| 21
| 0, 10, 18
| +1+1
| 0.0325
| 0.0351
|-
| 21
| 0, 11, 19
| +1+1
| 0.0033
| 0.0036
|-
| 21
| 0, 12, 20
| +1+1
| 0.0350
| 0.0387
|-
| 21
| 0, 1, 3
| +1+2
| 0.0312
| 0.0313
|-
| 21
| 0, 3, 8
| +1+2
| 0.0315
| 0.0317
|-
| 21
| 0, 4, 11
| +1+2
| 0.0311
| 0.0315
|-
| 21
| 0, 5, 13
| +1+2
| 0.0043
| 0.0044
|-
| 21
| 0, 6, 15
| +1+2
| 0.0242
| 0.0247
|-
| 21
| 0, 7, 17
| +1+2
| 0.0341
| 0.0351
|-
| 21
| 0, 7, 18
| +1+2
| 0.0372
| 0.0385
|-
| 21
| 0, 8, 19
| +1+2
| 0.0372
| 0.0388
|-
| 21
| 0, 8, 20
| +1+2
| 0.0290
| 0.0303
|-
| 21
| 0, 1, 4
| +1+3
| 0.0476
| 0.0477
|-
| 21
| 0, 2, 7
| +1+3
| 0.0485
| 0.0486
|-
| 21
| 0, 3, 11
| +1+3
| 0.0475
| 0.0478
|-
| 21
| 0, 4, 14
| +1+3
| 0.0378
| 0.0382
|-
| 21
| 0, 5, 16
| +1+3
| 0.0306
| 0.0311
|-
| 21
| 0, 5, 17
| +1+3
| 0.0451
| 0.0459
|-
| 21
| 0, 6, 19
| +1+3
| 0.0042
| 0.0043
|-
| 21
| 0, 2, 3
| +2+1
| 0.0278
| 0.0278
|-
| 21
| 0, 7, 10
| +2+1
| 0.0050
| 0.0051
|-
| 21
| 0, 10, 14
| +2+1
| 0.0023
| 0.0023
|-
| 21
| 0, 11, 15
| +2+1
| 0.0411
| 0.0421
|-
| 21
| 0, 13, 18
| +2+1
| 0.0157
| 0.0163
|-
| 21
| 0, 14, 19
| +2+1
| 0.0169
| 0.0176
|-
| 21
| 0, 15, 20
| +2+1
| 0.0458
| 0.0480
|-
| 21
| 0, 3, 7
| +2+3
| 0.0022
| 0.0022
|-
| 21
| 0, 4, 9
| +2+3
| 0.0372
| 0.0373
|-
| 21
| 0, 5, 11
| +2+3
| 0.0458
| 0.0460
|-
| 21
| 0, 6, 13
| +2+3
| 0.0403
| 0.0406
|-
| 21
| 0, 7, 15
| +2+3
| 0.0264
| 0.0266
|-
| 21
| 0, 8, 17
| +2+3
| 0.0071
| 0.0072
|-
| 21
| 0, 9, 19
| +2+3
| 0.0160
| 0.0162
|-
| 21
| 0, 3, 4
| +3+1
| 0.0403
| 0.0403
|-
| 21
| 0, 7, 9
| +3+1
| 0.0046
| 0.0046
|-
| 21
| 0, 11, 14
| +3+1
| 0.0153
| 0.0155
|-
| 21
| 0, 12, 15
| +3+1
| 0.0273
| 0.0277
|-
| 21
| 0, 16, 20
| +3+1
| 0.0191
| 0.0196
|-
| 21
| 0, 5, 8
| +3+2
| 0.0268
| 0.0269
|-
| 21
| 0, 7, 11
| +3+2
| 0.0268
| 0.0269
|-
| 21
| 0, 9, 14
| +3+2
| 0.0480
| 0.0483
|-
| 21
| 0, 10, 15
| +3+2
| 0.0444
| 0.0448
|-
| 21
| 0, 12, 18
| +3+2
| 0.0046
| 0.0047
|-
| 22
| 0, 1, 2
| +1+1
| 0.0141
| 0.0141
|-
| 22
| 0, 2, 4
| +1+1
| 0.0283
| 0.0284
|-
| 22
| 0, 3, 6
| +1+1
| 0.0426
| 0.0429
|-
| 22
| 0, 5, 9
| +1+1
| 0.0362
| 0.0367
|-
| 22
| 0, 6, 11
| +1+1
| 0.0042
| 0.0043
|-
| 22
| 0, 7, 13
| +1+1
| 0.0225
| 0.0232
|-
| 22
| 0, 8, 14
| +1+1
| 0.0303
| 0.0315
|-
| 22
| 0, 8, 15
| +1+1
| 0.0461
| 0.0481
|-
| 22
| 0, 9, 16
| +1+1
| 0.0003
| 0.0003
|-
| 22
| 0, 10, 17
| +1+1
| 0.0403
| 0.0428
|-
| 22
| 0, 10, 18
| +1+1
| 0.0265
| 0.0283
|-
| 22
| 0, 11, 19
| +1+1
| 0.0096
| 0.0104
|-
| 22
| 0, 12, 20
| +1+1
| 0.0415
| 0.0454
|-
| 22
| 0, 12, 21
| +1+1
| 0.0182
| 0.0201
|-
| 22
| 0, 1, 3
| +1+2
| 0.0298
| 0.0298
|-
| 22
| 0, 3, 8
| +1+2
| 0.0354
| 0.0355
|-
| 22
| 0, 4, 11
| +1+2
| 0.0259
| 0.0261
|-
| 22
| 0, 5, 13
| +1+2
| 0.0106
| 0.0108
|-
| 22
| 0, 6, 15
| +1+2
| 0.0315
| 0.0321
|-
| 22
| 0, 6, 16
| +1+2
| 0.0454
| 0.0465
|-
| 22
| 0, 7, 17
| +1+2
| 0.0424
| 0.0435
|-
| 22
| 0, 7, 18
| +1+2
| 0.0286
| 0.0295
|-
| 22
| 0, 8, 19
| +1+2
| 0.0465
| 0.0482
|-
| 22
| 0, 8, 20
| +1+2
| 0.0193
| 0.0202
|-
| 22
| 0, 9, 21
| +1+2
| 0.0459
| 0.0481
|-
| 22
| 0, 1, 4
| +1+3
| 0.0455
| 0.0455
|-
| 22
| 0, 3, 11
| +1+3
| 0.0415
| 0.0418
|-
| 22
| 0, 4, 14
| +1+3
| 0.0301
| 0.0304
|-
| 22
| 0, 5, 16
| +1+3
| 0.0398
| 0.0404
|-
| 22
| 0, 5, 17
| +1+3
| 0.0357
| 0.0363
|-
| 22
| 0, 6, 19
| +1+3
| 0.0151
| 0.0154
|-
| 22
| 0, 2, 3
| +2+1
| 0.0265
| 0.0265
|-
| 22
| 0, 7, 10
| +2+1
| 0.0010
| 0.0010
|-
| 22
| 0, 9, 13
| +2+1
| 0.0478
| 0.0485
|-
| 22
| 0, 10, 14
| +2+1
| 0.0034
| 0.0034
|-
| 22
| 0, 11, 15
| +2+1
| 0.0469
| 0.0478
|-
| 22
| 0, 12, 17
| +2+1
| 0.0457
| 0.0469
|-
| 22
| 0, 13, 18
| +2+1
| 0.0085
| 0.0088
|-
| 22
| 0, 14, 19
| +2+1
| 0.0242
| 0.0251
|-
| 22
| 0, 3, 7
| +2+3
| 0.0080
| 0.0081
|-
| 22
| 0, 4, 9
| +2+3
| 0.0448
| 0.0449
|-
| 22
| 0, 7, 15
| +2+3
| 0.0390
| 0.0393
|-
| 22
| 0, 8, 17
| +2+3
| 0.0214
| 0.0216
|-
| 22
| 0, 9, 19
| +2+3
| 0.0000
| 0.0000
|-
| 22
| 0, 10, 21
| +2+3
| 0.0240
| 0.0244
|-
| 22
| 0, 3, 4
| +3+1
| 0.0384
| 0.0384
|-
| 22
| 0, 7, 9
| +3+1
| 0.0085
| 0.0085
|-
| 22
| 0, 11, 14
| +3+1
| 0.0092
| 0.0093
|-
| 22
| 0, 12, 15
| +3+1
| 0.0335
| 0.0339
|-
| 22
| 0, 15, 19
| +3+1
| 0.0415
| 0.0423
|-
| 22
| 0, 16, 20
| +3+1
| 0.0106
| 0.0108
|-
| 22
| 0, 17, 21
| +3+1
| 0.0171
| 0.0175
|-
| 22
| 0, 5, 8
| +3+2
| 0.0207
| 0.0207
|-
| 22
| 0, 7, 11
| +3+2
| 0.0184
| 0.0184
|-
| 22
| 0, 9, 14
| +3+2
| 0.0372
| 0.0374
|-
| 22
| 0, 12, 18
| +3+2
| 0.0088
| 0.0089
|-
| 22
| 0, 14, 21
| +3+2
| 0.0384
| 0.0391
|-
| 23
| 0, 1, 2
| +1+1
| 0.0135
| 0.0135
|-
| 23
| 0, 2, 4
| +1+1
| 0.0271
| 0.0272
|-
| 23
| 0, 3, 6
| +1+1
| 0.0408
| 0.0410
|-
| 23
| 0, 5, 9
| +1+1
| 0.0389
| 0.0394
|-
| 23
| 0, 6, 11
| +1+1
| 0.0076
| 0.0077
|-
| 23
| 0, 7, 13
| +1+1
| 0.0185
| 0.0190
|-
| 23
| 0, 8, 14
| +1+1
| 0.0345
| 0.0357
|-
| 23
| 0, 8, 15
| +1+1
| 0.0415
| 0.0431
|-
| 23
| 0, 9, 16
| +1+1
| 0.0051
| 0.0053
|-
| 23
| 0, 10, 17
| +1+1
| 0.0453
| 0.0478
|-
| 23
| 0, 10, 18
| +1+1
| 0.0210
| 0.0223
|-
| 23
| 0, 11, 19
| +1+1
| 0.0153
| 0.0164
|-
| 23
| 0, 11, 20
| +1+1
| 0.0448
| 0.0484
|-
| 23
| 0, 12, 21
| +1+1
| 0.0118
| 0.0129
|-
| 23
| 0, 13, 22
| +1+1
| 0.0176
| 0.0195
|-
| 23
| 0, 1, 3
| +1+2
| 0.0285
| 0.0285
|-
| 23
| 0, 3, 8
| +1+2
| 0.0389
| 0.0391
|-
| 23
| 0, 4, 11
| +1+2
| 0.0211
| 0.0213
|-
| 23
| 0, 5, 13
| +1+2
| 0.0163
| 0.0166
|-
| 23
| 0, 6, 15
| +1+2
| 0.0381
| 0.0388
|-
| 23
| 0, 6, 16
| +1+2
| 0.0385
| 0.0393
|-
| 23
| 0, 7, 18
| +1+2
| 0.0207
| 0.0213
|-
| 23
| 0, 8, 20
| +1+2
| 0.0105
| 0.0109
|-
| 23
| 0, 9, 22
| +1+2
| 0.0059
| 0.0062
|-
| 23
| 0, 1, 4
| +1+3
| 0.0435
| 0.0435
|-
| 23
| 0, 3, 11
| +1+3
| 0.0360
| 0.0362
|-
| 23
| 0, 4, 14
| +1+3
| 0.0230
| 0.0232
|-
| 23
| 0, 5, 16
| +1+3
| 0.0482
| 0.0488
|-
| 23
| 0, 5, 17
| +1+3
| 0.0271
| 0.0275
|-
| 23
| 0, 6, 19
| +1+3
| 0.0250
| 0.0254
|-
| 23
| 0, 6, 20
| +1+3
| 0.0403
| 0.0412
|-
| 23
| 0, 7, 22
| +1+3
| 0.0012
| 0.0013
|-
| 23
| 0, 2, 3
| +2+1
| 0.0253
| 0.0253
|-
| 23
| 0, 7, 10
| +2+1
| 0.0028
| 0.0028
|-
| 23
| 0, 9, 13
| +2+1
| 0.0428
| 0.0433
|-
| 23
| 0, 10, 14
| +2+1
| 0.0085
| 0.0086
|-
| 23
| 0, 12, 17
| +2+1
| 0.0392
| 0.0401
|-
| 23
| 0, 13, 18
| +2+1
| 0.0019
| 0.0020
|-
| 23
| 0, 14, 19
| +2+1
| 0.0309
| 0.0320
|-
| 23
| 0, 16, 22
| +2+1
| 0.0199
| 0.0208
|-
| 23
| 0, 3, 7
| +2+3
| 0.0134
| 0.0134
|-
| 23
| 0, 8, 17
| +2+3
| 0.0344
| 0.0347
|-
| 23
| 0, 9, 19
| +2+3
| 0.0146
| 0.0148
|-
| 23
| 0, 10, 21
| +2+3
| 0.0079
| 0.0080
|-
| 23
| 0, 3, 4
| +3+1
| 0.0367
| 0.0367
|-
| 23
| 0, 7, 9
| +3+1
| 0.0121
| 0.0121
|-
| 23
| 0, 11, 14
| +3+1
| 0.0036
| 0.0037
|-
| 23
| 0, 12, 15
| +3+1
| 0.0392
| 0.0396
|-
| 23
| 0, 15, 19
| +3+1
| 0.0338
| 0.0344
|-
| 23
| 0, 16, 20
| +3+1
| 0.0028
| 0.0028
|-
| 23
| 0, 17, 21
| +3+1
| 0.0249
| 0.0255
|-
| 23
| 0, 5, 8
| +3+2
| 0.0150
| 0.0151
|-
| 23
| 0, 7, 11
| +3+2
| 0.0107
| 0.0107
|-
| 23
| 0, 9, 14
| +3+2
| 0.0274
| 0.0276
|-
| 23
| 0, 12, 18
| +3+2
| 0.0210
| 0.0213
|-
| 23
| 0, 14, 21
| +3+2
| 0.0240
| 0.0244
|-
| 23
| 0, 15, 22
| +3+2
| 0.0325
| 0.0331
|}


== DR and RTT ==
== DR and RTT ==
Retrieved from "https://en.xen.wiki/w/Delta-rational_chord"