Delta-rational triads in small edos

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Shown below are approximate delta-rational triads spanning an interval < octave, in edos < 24, with least-squares error < 0.00810 (a little more than the error of 0-2-4\11 from +1+1). All delta signatures are in the 3-integer limit.

Edo Steps Delta signature Least-squares error
6 0, 1, 2 +1+1 0.00671
6 0, 2, 5 +1+2 0.00064
6 0, 4, 5 +3+1 0.00084
7 0, 1, 2 +1+1 0.00485
7 0, 2, 5 +1+2 0.00518
7 0, 4, 5 +3+1 0.00439
7 0, 4, 6 +3+2 0.00075
8 0, 1, 2 +1+1 0.00366
8 0, 4, 7 +1+1 0.00250
8 0, 1, 3 +1+2 0.00801
8 0, 2, 5 +1+2 0.00804
8 0, 2, 3 +2+1 0.00723
8 0, 4, 5 +3+1 0.00604
8 0, 4, 6 +3+2 0.00441
9 0, 1, 2 +1+1 0.00287
9 0, 4, 7 +1+1 0.00317
9 0, 1, 3 +1+2 0.00624
9 0, 2, 3 +2+1 0.00562
9 0, 5, 7 +2+1 0.00548
9 0, 4, 5 +3+1 0.00679
9 0, 4, 6 +3+2 0.00716
10 0, 1, 2 +1+1 0.00230
10 0, 4, 7 +1+1 0.00649
10 0, 1, 3 +1+2 0.00500
10 0, 1, 4 +1+3 0.00786
10 0, 2, 7 +1+3 0.00721
10 0, 2, 3 +2+1 0.00449
10 0, 5, 7 +2+1 0.00177
10 0, 3, 4 +3+1 0.00679
10 0, 4, 5 +3+1 0.00708
10 0, 6, 9 +3+2 0.00336
11 0, 1, 2 +1+1 0.00189
11 0, 2, 4 +1+1 0.00807
11 0, 1, 3 +1+2 0.00410
11 0, 4, 10 +1+2 0.00565
11 0, 1, 4 +1+3 0.00643
11 0, 2, 7 +1+3 0.00416
11 0, 2, 3 +2+1 0.00367
11 0, 5, 7 +2+1 0.00062
11 0, 3, 4 +3+1 0.00553
11 0, 4, 5 +3+1 0.00712
11 0, 8, 10 +3+1 0.00231
11 0, 6, 9 +3+2 0.00135
12 0, 1, 2 +1+1 0.00158
12 0, 2, 4 +1+1 0.00671
12 0, 5, 9 +1+1 0.00542
12 0, 1, 3 +1+2 0.00342
12 0, 3, 8 +1+2 0.00625
12 0, 4, 10 +1+2 0.00064
12 0, 1, 4 +1+3 0.00535
12 0, 2, 7 +1+3 0.00205
12 0, 3, 10 +1+3 0.00606
12 0, 2, 3 +2+1 0.00306
12 0, 5, 7 +2+1 0.00219
12 0, 8, 11 +2+1 0.00369
12 0, 3, 4 +3+1 0.00459
12 0, 4, 5 +3+1 0.00703
12 0, 8, 10 +3+1 0.00084
12 0, 2, 3 +3+2 0.00766
12 0, 6, 9 +3+2 0.00441
13 0, 1, 2 +1+1 0.00134
13 0, 2, 4 +1+1 0.00566
13 0, 5, 9 +1+1 0.00217
13 0, 7, 12 +1+1 0.00389
13 0, 1, 3 +1+2 0.00290
13 0, 3, 8 +1+2 0.00366
13 0, 4, 10 +1+2 0.00279
13 0, 5, 12 +1+2 0.00644
13 0, 1, 4 +1+3 0.00453
13 0, 2, 7 +1+3 0.00056
13 0, 3, 10 +1+3 0.00255
13 0, 2, 3 +2+1 0.00259
13 0, 5, 7 +2+1 0.00324
13 0, 8, 11 +2+1 0.00014
13 0, 3, 7 +2+3 0.00697
13 0, 4, 9 +2+3 0.00800
13 0, 3, 4 +3+1 0.00387
13 0, 4, 5 +3+1 0.00687
13 0, 7, 9 +3+1 0.00758
13 0, 8, 10 +3+1 0.00296
13 0, 2, 3 +3+2 0.00725
13 0, 6, 9 +3+2 0.00642
13 0, 8, 12 +3+2 0.00491
14 0, 1, 2 +1+1 0.00115
14 0, 2, 4 +1+1 0.00485
14 0, 5, 9 +1+1 0.00016
14 0, 7, 12 +1+1 0.00759
14 0, 1, 3 +1+2 0.00249
14 0, 3, 8 +1+2 0.00177
14 0, 4, 10 +1+2 0.00518
14 0, 1, 4 +1+3 0.00388
14 0, 2, 7 +1+3 0.00052
14 0, 3, 10 +1+3 0.00004
14 0, 4, 13 +1+3 0.00663
14 0, 2, 3 +2+1 0.00222
14 0, 5, 7 +2+1 0.00395
14 0, 8, 11 +2+1 0.00280
14 0, 2, 5 +2+3 0.00767
14 0, 3, 7 +2+3 0.00516
14 0, 4, 9 +2+3 0.00516
14 0, 5, 11 +2+3 0.00807
14 0, 3, 4 +3+1 0.00330
14 0, 4, 5 +3+1 0.00668
14 0, 7, 9 +3+1 0.00548
14 0, 8, 10 +3+1 0.00439
14 0, 2, 3 +3+2 0.00687
14 0, 3, 5 +3+2 0.00721
14 0, 6, 9 +3+2 0.00776
14 0, 8, 12 +3+2 0.00075
15 0, 1, 2 +1+1 0.00100
15 0, 2, 4 +1+1 0.00419
15 0, 5, 9 +1+1 0.00184
15 0, 8, 14 +1+1 0.00677
15 0, 1, 3 +1+2 0.00216
15 0, 3, 8 +1+2 0.00037
15 0, 4, 10 +1+2 0.00685
15 0, 1, 4 +1+3 0.00336
15 0, 2, 7 +1+3 0.00131
15 0, 3, 10 +1+3 0.00179
15 0, 4, 13 +1+3 0.00275
15 0, 2, 3 +2+1 0.00192
15 0, 5, 7 +2+1 0.00442
15 0, 7, 10 +2+1 0.00806
15 0, 8, 11 +2+1 0.00468
15 0, 1, 2 +2+3 0.00795
15 0, 2, 5 +2+3 0.00663
15 0, 3, 7 +2+3 0.00378
15 0, 4, 9 +2+3 0.00303
15 0, 5, 11 +2+3 0.00471
15 0, 3, 4 +3+1 0.00286
15 0, 4, 5 +3+1 0.00647
15 0, 7, 9 +3+1 0.00390
15 0, 8, 10 +3+1 0.00537
15 0, 2, 3 +3+2 0.00652
15 0, 3, 5 +3+2 0.00622
15 0, 5, 8 +3+2 0.00724
15 0, 8, 12 +3+2 0.00224
16 0, 1, 2 +1+1 0.00088
16 0, 2, 4 +1+1 0.00366
16 0, 5, 9 +1+1 0.00308
16 0, 6, 11 +1+1 0.00752
16 0, 8, 14 +1+1 0.00250
16 0, 1, 3 +1+2 0.00189
16 0, 2, 6 +1+2 0.00801
16 0, 3, 8 +1+2 0.00068
16 0, 4, 10 +1+2 0.00804
16 0, 6, 15 +1+2 0.00781
16 0, 1, 4 +1+3 0.00294
16 0, 2, 7 +1+3 0.00189
16 0, 3, 10 +1+3 0.00314
16 0, 4, 13 +1+3 0.00014
16 0, 2, 3 +2+1 0.00168
16 0, 4, 6 +2+1 0.00723
16 0, 5, 7 +2+1 0.00473
16 0, 7, 10 +2+1 0.00601
16 0, 8, 11 +2+1 0.00601
16 0, 11, 15 +2+1 0.00029
16 0, 1, 2 +2+3 0.00749
16 0, 2, 5 +2+3 0.00579
16 0, 3, 7 +2+3 0.00271
16 0, 4, 9 +2+3 0.00141
16 0, 5, 11 +2+3 0.00217
16 0, 6, 13 +2+3 0.00526
16 0, 3, 4 +3+1 0.00249
16 0, 4, 5 +3+1 0.00625
16 0, 7, 9 +3+1 0.00269
16 0, 8, 10 +3+1 0.00604
16 0, 12, 15 +3+1 0.00369
16 0, 2, 3 +3+2 0.00620
16 0, 3, 5 +3+2 0.00542
16 0, 5, 8 +3+2 0.00572
16 0, 8, 12 +3+2 0.00441
16 0, 10, 15 +3+2 0.00593
17 0, 1, 2 +1+1 0.00077
17 0, 2, 4 +1+1 0.00323
17 0, 3, 6 +1+1 0.00757
17 0, 5, 9 +1+1 0.00399
17 0, 6, 11 +1+1 0.00521
17 0, 8, 14 +1+1 0.00072
17 0, 1, 3 +1+2 0.00167
17 0, 2, 6 +1+2 0.00704
17 0, 3, 8 +1+2 0.00148
17 0, 5, 13 +1+2 0.00652
17 0, 6, 15 +1+2 0.00376
17 0, 1, 4 +1+3 0.00259
17 0, 2, 7 +1+3 0.00231
17 0, 3, 10 +1+3 0.00414
17 0, 4, 13 +1+3 0.00232
17 0, 5, 16 +1+3 0.00377
17 0, 2, 3 +2+1 0.00148
17 0, 4, 6 +2+1 0.00635
17 0, 5, 7 +2+1 0.00493
17 0, 7, 10 +2+1 0.00440
17 0, 8, 11 +2+1 0.00696
17 0, 11, 15 +2+1 0.00309
17 0, 1, 2 +2+3 0.00708
17 0, 2, 5 +2+3 0.00510
17 0, 3, 7 +2+3 0.00187
17 0, 4, 9 +2+3 0.00018
17 0, 5, 11 +2+3 0.00024
17 0, 6, 13 +2+3 0.00227
17 0, 7, 15 +2+3 0.00654
17 0, 3, 4 +3+1 0.00220
17 0, 4, 5 +3+1 0.00604
17 0, 7, 9 +3+1 0.00175
17 0, 8, 10 +3+1 0.00650
17 0, 12, 15 +3+1 0.00111
17 0, 13, 16 +3+1 0.00716
17 0, 1, 2 +3+2 0.00803
17 0, 2, 3 +3+2 0.00591
17 0, 3, 5 +3+2 0.00477
17 0, 5, 8 +3+2 0.00452
17 0, 7, 11 +3+2 0.00795
17 0, 8, 12 +3+2 0.00599
17 0, 10, 15 +3+2 0.00225
18 0, 1, 2 +1+1 0.00069
18 0, 2, 4 +1+1 0.00287
18 0, 3, 6 +1+1 0.00671
18 0, 5, 9 +1+1 0.00467
18 0, 6, 11 +1+1 0.00340
18 0, 8, 14 +1+1 0.00317
18 0, 10, 17 +1+1 0.00672
18 0, 1, 3 +1+2 0.00148
18 0, 2, 6 +1+2 0.00624
18 0, 3, 8 +1+2 0.00209
18 0, 5, 13 +1+2 0.00403
18 0, 6, 15 +1+2 0.00064
18 0, 7, 17 +1+2 0.00117
18 0, 1, 4 +1+3 0.00230
18 0, 2, 7 +1+3 0.00263
18 0, 3, 10 +1+3 0.00488
18 0, 4, 13 +1+3 0.00398
18 0, 5, 16 +1+3 0.00059
18 0, 2, 3 +2+1 0.00132
18 0, 4, 6 +2+1 0.00562
18 0, 5, 7 +2+1 0.00505
18 0, 7, 10 +2+1 0.00314
18 0, 8, 11 +2+1 0.00763
18 0, 10, 14 +2+1 0.00548
18 0, 11, 15 +2+1 0.00519
18 0, 1, 2 +2+3 0.00672
18 0, 2, 5 +2+3 0.00452
18 0, 3, 7 +2+3 0.00120
18 0, 4, 9 +2+3 0.00078
18 0, 5, 11 +2+3 0.00126
18 0, 6, 13 +2+3 0.00003
18 0, 7, 15 +2+3 0.00310
18 0, 3, 4 +3+1 0.00195
18 0, 4, 5 +3+1 0.00583
18 0, 7, 9 +3+1 0.00102
18 0, 8, 10 +3+1 0.00679
18 0, 11, 14 +3+1 0.00674
18 0, 12, 15 +3+1 0.00084
18 0, 1, 2 +3+2 0.00753
18 0, 2, 3 +3+2 0.00564
18 0, 3, 5 +3+2 0.00423
18 0, 5, 8 +3+2 0.00356
18 0, 7, 11 +3+2 0.00607
18 0, 8, 12 +3+2 0.00716
18 0, 10, 15 +3+2 0.00056
19 0, 1, 2 +1+1 0.00062
19 0, 2, 4 +1+1 0.00256
19 0, 3, 6 +1+1 0.00598
19 0, 5, 9 +1+1 0.00517
19 0, 6, 11 +1+1 0.00196
19 0, 8, 14 +1+1 0.00505
19 0, 9, 16 +1+1 0.00687
19 0, 1, 3 +1+2 0.00133
19 0, 2, 6 +1+2 0.00557
19 0, 3, 8 +1+2 0.00255
19 0, 4, 11 +1+2 0.00709
19 0, 5, 13 +1+2 0.00206
19 0, 6, 15 +1+2 0.00178
19 0, 7, 17 +1+2 0.00428
19 0, 1, 3 +1+3 0.00799
19 0, 1, 4 +1+3 0.00206
19 0, 2, 7 +1+3 0.00287
19 0, 3, 10 +1+3 0.00543
19 0, 3, 11 +1+3 0.00755
19 0, 4, 13 +1+3 0.00524
19 0, 5, 16 +1+3 0.00188
19 0, 2, 3 +2+1 0.00118
19 0, 4, 6 +2+1 0.00501
19 0, 5, 7 +2+1 0.00511
19 0, 7, 10 +2+1 0.00213
19 0, 8, 11 +2+1 0.00810
19 0, 10, 14 +2+1 0.00341
19 0, 11, 15 +2+1 0.00676
19 0, 1, 2 +2+3 0.00639
19 0, 2, 5 +2+3 0.00404
19 0, 3, 7 +2+3 0.00067
19 0, 4, 9 +2+3 0.00153
19 0, 5, 11 +2+3 0.00241
19 0, 6, 13 +2+3 0.00182
19 0, 7, 15 +2+3 0.00041
19 0, 8, 17 +2+3 0.00446
19 0, 3, 4 +3+1 0.00174
19 0, 4, 5 +3+1 0.00563
19 0, 6, 8 +3+1 0.00759
19 0, 7, 9 +3+1 0.00044
19 0, 8, 10 +3+1 0.00698
19 0, 11, 14 +3+1 0.00491
19 0, 12, 15 +3+1 0.00234
19 0, 1, 2 +3+2 0.00708
19 0, 2, 3 +3+2 0.00540
19 0, 3, 5 +3+2 0.00378
19 0, 5, 8 +3+2 0.00278
19 0, 7, 11 +3+2 0.00456
19 0, 8, 12 +3+2 0.00802
19 0, 10, 15 +3+2 0.00273
19 0, 12, 18 +3+2 0.00665
20 0, 1, 2 +1+1 0.00056
20 0, 2, 4 +1+1 0.00230
20 0, 3, 6 +1+1 0.00537
20 0, 5, 9 +1+1 0.00553
20 0, 6, 11 +1+1 0.00080
20 0, 8, 14 +1+1 0.00649
20 0, 9, 16 +1+1 0.00403
20 0, 11, 19 +1+1 0.00166
20 0, 1, 3 +1+2 0.00119
20 0, 2, 6 +1+2 0.00500
20 0, 3, 8 +1+2 0.00291
20 0, 4, 11 +1+2 0.00569
20 0, 5, 13 +1+2 0.00049
20 0, 6, 15 +1+2 0.00368
20 0, 7, 17 +1+2 0.00670
20 0, 1, 3 +1+3 0.00764
20 0, 1, 4 +1+3 0.00185
20 0, 2, 7 +1+3 0.00304
20 0, 2, 8 +1+3 0.00786
20 0, 3, 10 +1+3 0.00584
20 0, 3, 11 +1+3 0.00626
20 0, 4, 13 +1+3 0.00622
20 0, 4, 14 +1+3 0.00721
20 0, 5, 16 +1+3 0.00381
20 0, 6, 19 +1+3 0.00177
20 0, 2, 3 +2+1 0.00106
20 0, 4, 6 +2+1 0.00449
20 0, 5, 7 +2+1 0.00513
20 0, 7, 10 +2+1 0.00132
20 0, 10, 14 +2+1 0.00177
20 0, 11, 15 +2+1 0.00795
20 0, 13, 18 +2+1 0.00683
20 0, 14, 19 +2+1 0.00271
20 0, 1, 2 +2+3 0.00609
20 0, 1, 3 +2+3 0.00795
20 0, 2, 5 +2+3 0.00363
20 0, 3, 7 +2+3 0.00024
20 0, 4, 9 +2+3 0.00212
20 0, 5, 11 +2+3 0.00332
20 0, 6, 13 +2+3 0.00323
20 0, 7, 15 +2+3 0.00171
20 0, 8, 17 +2+3 0.00139
20 0, 9, 19 +2+3 0.00623
20 0, 3, 4 +3+1 0.00156
20 0, 4, 5 +3+1 0.00543
20 0, 6, 8 +3+1 0.00679
20 0, 7, 9 +3+1 0.00002
20 0, 8, 10 +3+1 0.00708
20 0, 11, 14 +3+1 0.00343
20 0, 12, 15 +3+1 0.00350
20 0, 1, 2 +3+2 0.00669
20 0, 2, 3 +3+2 0.00517
20 0, 3, 5 +3+2 0.00339
20 0, 5, 8 +3+2 0.00214
20 0, 7, 11 +3+2 0.00334
20 0, 9, 14 +3+2 0.00743
20 0, 10, 15 +3+2 0.00441
20 0, 12, 18 +3+2 0.00336
21 0, 1, 2 +1+1 0.00050
21 0, 2, 4 +1+1 0.00208
21 0, 3, 6 +1+1 0.00485
21 0, 5, 9 +1+1 0.00580
21 0, 6, 11 +1+1 0.00013
21 0, 7, 13 +1+1 0.00716
21 0, 8, 14 +1+1 0.00760
21 0, 9, 16 +1+1 0.00176
21 0, 11, 19 +1+1 0.00146
21 0, 1, 3 +1+2 0.00108
21 0, 2, 5 +1+2 0.00800
21 0, 2, 6 +1+2 0.00452
21 0, 3, 8 +1+2 0.00318
21 0, 4, 11 +1+2 0.00453
21 0, 5, 13 +1+2 0.00077
21 0, 6, 15 +1+2 0.00518
21 0, 1, 3 +1+3 0.00731
21 0, 1, 4 +1+3 0.00168
21 0, 2, 7 +1+3 0.00316
21 0, 2, 8 +1+3 0.00709
21 0, 3, 10 +1+3 0.00613
21 0, 3, 11 +1+3 0.00519
21 0, 4, 13 +1+3 0.00696
21 0, 4, 14 +1+3 0.00554
21 0, 5, 16 +1+3 0.00534
21 0, 6, 19 +1+3 0.00093
21 0, 2, 3 +2+1 0.00096
21 0, 4, 6 +2+1 0.00405
21 0, 5, 7 +2+1 0.00512
21 0, 7, 10 +2+1 0.00066
21 0, 10, 14 +2+1 0.00045
21 0, 13, 18 +2+1 0.00425
21 0, 14, 19 +2+1 0.00492
21 0, 1, 2 +2+3 0.00581
21 0, 1, 3 +2+3 0.00750
21 0, 2, 5 +2+3 0.00328
21 0, 3, 7 +2+3 0.00011
21 0, 4, 9 +2+3 0.00258
21 0, 5, 11 +2+3 0.00403
21 0, 6, 13 +2+3 0.00434
21 0, 7, 15 +2+3 0.00339
21 0, 8, 17 +2+3 0.00107
21 0, 9, 19 +2+3 0.00278
21 0, 2, 3 +3+1 0.00786
21 0, 3, 4 +3+1 0.00141
21 0, 4, 5 +3+1 0.00525
21 0, 6, 8 +3+1 0.00611
21 0, 7, 9 +3+1 0.00040
21 0, 8, 10 +3+1 0.00712
21 0, 11, 14 +3+1 0.00224
21 0, 12, 15 +3+1 0.00439
21 0, 16, 20 +3+1 0.00446
21 0, 1, 2 +3+2 0.00633
21 0, 2, 3 +3+2 0.00496
21 0, 3, 5 +3+2 0.00306
21 0, 5, 8 +3+2 0.00162
21 0, 7, 11 +3+2 0.00234
21 0, 9, 14 +3+2 0.00561
21 0, 10, 15 +3+2 0.00571
21 0, 12, 18 +3+2 0.00075
22 0, 1, 2 +1+1 0.00046
22 0, 2, 4 +1+1 0.00189
22 0, 3, 6 +1+1 0.00439
22 0, 4, 8 +1+1 0.00807
22 0, 5, 9 +1+1 0.00599
22 0, 6, 11 +1+1 0.00088
22 0, 7, 13 +1+1 0.00567
22 0, 9, 16 +1+1 0.00009
22 0, 11, 19 +1+1 0.00394
22 0, 1, 3 +1+2 0.00098
22 0, 2, 5 +1+2 0.00775
22 0, 2, 6 +1+2 0.00410
22 0, 3, 8 +1+2 0.00339
22 0, 4, 11 +1+2 0.00357
22 0, 5, 13 +1+2 0.00179
22 0, 6, 15 +1+2 0.00636
22 0, 7, 18 +1+2 0.00724
22 0, 8, 20 +1+2 0.00565
22 0, 1, 3 +1+3 0.00701
22 0, 1, 4 +1+3 0.00152
22 0, 2, 7 +1+3 0.00325
22 0, 2, 8 +1+3 0.00643
22 0, 3, 10 +1+3 0.00635
22 0, 3, 11 +1+3 0.00429
22 0, 4, 13 +1+3 0.00753
22 0, 4, 14 +1+3 0.00416
22 0, 5, 16 +1+3 0.00654
22 0, 5, 17 +1+3 0.00631
22 0, 6, 19 +1+3 0.00309
22 0, 2, 3 +2+1 0.00087
22 0, 3, 4 +2+1 0.00798
22 0, 4, 6 +2+1 0.00367
22 0, 5, 7 +2+1 0.00509
22 0, 7, 10 +2+1 0.00012
22 0, 9, 13 +2+1 0.00800
22 0, 10, 14 +2+1 0.00062
22 0, 13, 18 +2+1 0.00216
22 0, 14, 19 +2+1 0.00665
22 0, 1, 2 +2+3 0.00556
22 0, 1, 3 +2+3 0.00710
22 0, 2, 5 +2+3 0.00298
22 0, 3, 7 +2+3 0.00040
22 0, 4, 9 +2+3 0.00295
22 0, 5, 11 +2+3 0.00458
22 0, 6, 13 +2+3 0.00521
22 0, 7, 15 +2+3 0.00473
22 0, 8, 17 +2+3 0.00303
22 0, 9, 19 +2+3 0.00000
22 0, 10, 21 +2+3 0.00449
22 0, 2, 3 +3+1 0.00745
22 0, 3, 4 +3+1 0.00128
22 0, 4, 5 +3+1 0.00508
22 0, 6, 8 +3+1 0.00553
22 0, 7, 9 +3+1 0.00070
22 0, 8, 10 +3+1 0.00712
22 0, 10, 13 +3+1 0.00744
22 0, 11, 14 +3+1 0.00127
22 0, 12, 15 +3+1 0.00509
22 0, 16, 20 +3+1 0.00231
22 0, 17, 21 +3+1 0.00402
22 0, 1, 2 +3+2 0.00602
22 0, 2, 3 +3+2 0.00477
22 0, 3, 5 +3+2 0.00278
22 0, 5, 8 +3+2 0.00118
22 0, 7, 11 +3+2 0.00152
22 0, 9, 14 +3+2 0.00411
22 0, 10, 15 +3+2 0.00674
22 0, 12, 18 +3+2 0.00135
22 0, 14, 21 +3+2 0.00718
23 0, 1, 2 +1+1 0.00042
23 0, 2, 4 +1+1 0.00173
23 0, 3, 6 +1+1 0.00400
23 0, 4, 8 +1+1 0.00734
23 0, 5, 9 +1+1 0.00612
23 0, 6, 11 +1+1 0.00149
23 0, 7, 13 +1+1 0.00442
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