Subtract channel A from channel B to make channel C

[jim downing]

W10, V2.1.3, exe installer: I use Audacity to capture old LP music and ClickRepair to clean up the captured stereo track. I now have A=captured stereo LP, B=ClickRepair output. I want to make C = A - B. I know you can invert B and listen to A-B but I want to capture and see the waveform of C. This should be simple but I cannot find how other than start another recording program while listening to A - B. I have considered Nyquist but only see how do "Effect" or "Generate". Needs "Effect" and "Generate". Any advice will be appreciated.

[kozikowski]

Tracks > Mix and Render to a new track.

The new track should be A-B expressed as a mix.

Koz

[steve]

Digital audio is just numbers.
This is me saying "hi":

Code: Select all

Sample Rate: 11025 Hz.  Sample values on linear scale.

0.00618
0.01065
0.01096
0.01472
0.01580
0.01723
0.01669
0.01409
0.00963
0.00692
0.00648
0.00823
0.01242
0.01523
0.01809
0.01929
0.01719
0.01467
0.01333
0.01477
0.01646
0.01754
0.01643
0.01349
0.01047
0.00648
0.00654
0.01031
0.01542
0.02030
0.02151
0.02099
0.01600
0.01223
0.00885
0.00789
0.01135
0.01114
0.01133
0.00975
0.00722
0.00385
0.00220
0.00115
-0.00012
-0.00018
-0.00003
0.00126
0.00418
0.00456
0.00406
0.00442
-0.00104
-0.00584
-0.01151
-0.01829
-0.02411
-0.02865
-0.03062
-0.02991
-0.02521
-0.02207
-0.01998
-0.01881
-0.02270
-0.02668
-0.03019
-0.03410
-0.03494
-0.03596
-0.03650
-0.03696
-0.03780
-0.03720
-0.03600
-0.03256
-0.02895
-0.02828
-0.02820
-0.02904
-0.03159
-0.03254
-0.03219
-0.02887
-0.02529
-0.02296
-0.02091
-0.02026
-0.01705
-0.01610
-0.01350
-0.00814
-0.00465
-0.00192
-0.00247
-0.00340
-0.00485
-0.00706
-0.00579
-0.00144
0.00510
0.01192
0.01589
0.01930
0.02004
0.02140
0.02434
0.02928
0.03572
0.03646
0.03644
0.03229
0.02838
0.02820
0.02965
0.03803
0.04470
0.05241
0.05662
0.05610
0.05598
0.05176
0.05119
0.05321
0.05871
0.06598
0.07090
0.07124
0.06518
0.05906
0.05174
0.04552
0.04382
0.03997
0.02364
-0.00231
-0.02537
-0.04735
-0.05517
-0.04247
-0.02313
0.00119
0.01826
0.02560
0.02769
0.02214
0.01114
0.00047
-0.01057
-0.03019
-0.05053
-0.06583
-0.07783
-0.08276
-0.07736
-0.06356
-0.04567
-0.02690
-0.01690
-0.01757
-0.02404
-0.03664
-0.04677
-0.04967
-0.04753
-0.04322
-0.04106
-0.04118
-0.04675
-0.05170
-0.05228
-0.05173
-0.04558
-0.04177
-0.04247
-0.04489
-0.04916
-0.05174
-0.05027
-0.04196
-0.03081
-0.01986
-0.01227
-0.01118
-0.01376
-0.01821
-0.02237
-0.02416
-0.02509
-0.02489
-0.02303
-0.01913
-0.01258
-0.00226
0.00945
0.02261
0.03396
0.04104
0.04532
0.04563
0.04403
0.04362
0.04178
0.04134
0.04376
0.04616
0.05254
0.06151
0.07159
0.08079
0.09029
0.09581
0.09897
0.10295
0.10633
0.10817
0.10909
0.10286
0.08434
0.06242
0.03848
0.00074
-0.04451
-0.07587
-0.10782
-0.11730
-0.09309
-0.06572
-0.02440
0.02034
0.05334
0.07644
0.08934
0.08212
0.05501
0.01484
-0.05185
-0.11925
-0.16185
-0.18126
-0.16425
-0.11249
-0.04484
0.02011
0.06768
0.08750
0.08126
0.06370
0.02882
-0.00756
-0.03353
-0.06356
-0.08429
-0.10362
-0.12368
-0.12795
-0.11622
-0.09090
-0.04933
-0.00091
0.02976
0.04054
0.03074
0.00109
-0.03570
-0.07025
-0.09247
-0.10063
-0.09577
-0.08404
-0.06622
-0.03964
-0.01490
0.00384
0.01696
0.01781
0.00404
-0.01711
-0.03776
-0.04942
-0.04824
-0.03674
-0.01703
0.00517
0.02048
0.02993
0.03346
0.03591
0.03834
0.03941
0.03968
0.03903
0.03897
0.03698
0.04009
0.04778
0.06218
0.08014
0.09634
0.10941
0.11552
0.11312
0.10914
0.10467
0.10673
0.11252
0.12389
0.14141
0.14850
0.14068
0.12222
0.09550
0.01958
-0.05685
-0.12472
-0.19477
-0.19463
-0.17065
-0.13048
-0.06767
0.00315
0.07960
0.14559
0.20649
0.21927
0.18514
0.08744
-0.07156
-0.21110
-0.30619
-0.33892
-0.29127
-0.17953
-0.04507
0.06483
0.13282
0.14751
0.13470
0.10688
0.05734
0.02461
-0.00246
-0.04334
-0.09402
-0.15094
-0.19625
-0.21953
-0.21107
-0.16963
-0.09832
-0.01631
0.04164
0.07436
0.07668
0.04503
-0.00425
-0.05603
-0.09224
-0.11400
-0.12845
-0.12827
-0.11445
-0.09472
-0.07012
-0.04070
-0.00991
0.00944
0.01199
0.00427
-0.00697
-0.02113
-0.03379
-0.03890
-0.03294
-0.02284
-0.01622
-0.00846
0.00227
0.01155
0.02005
0.02931
0.04048
0.04774
0.04400
0.03601
0.03038
0.02819
0.03068
0.04595
0.07128
0.10286
0.12683
0.14040
0.15050
0.15159
0.14771
0.14823
0.15476
0.15991
0.16208
0.15830
0.15780
0.14426
0.12239
0.07925
-0.01611
-0.09747
-0.17004
-0.21671
-0.19542
-0.14374
-0.07060
0.00391
0.09228
0.17559
0.24032
0.28109
0.25566
0.16733
0.01079
-0.17513
-0.32507
-0.39857
-0.37623
-0.27432
-0.11437
0.04514
0.15578
0.20505
0.18575
0.13832
0.07959
0.01799
-0.02087
-0.04906
-0.08784
-0.13736
-0.18790
-0.23524
-0.25162
-0.22935
-0.16867
-0.07646
0.01691
0.08696
0.10621
0.08643
0.02708
-0.05575
-0.12301
-0.16814
-0.17496
-0.15843
-0.13136
-0.09333
-0.06212
-0.04259
-0.03015
-0.01917
-0.01208
-0.01250
-0.01753
-0.02705
-0.03569
-0.04282
-0.04536
-0.03698
-0.01967
-0.00328
0.00419
0.00884
0.01141
0.01077
0.00830
0.00949
0.01522
0.01818
0.01988
0.02510
0.03507
0.04988
0.07006
0.09684
0.12814
0.15092
0.16316
0.16499
0.15194
0.14401
0.13643
0.14308
0.16992
0.18506
0.20640
0.20002
0.17437
0.13227
0.01976
-0.08762
-0.18120
-0.24569
-0.23148
-0.17463
-0.09183
-0.00658
0.09437
0.19147
0.27481
0.34244
0.34615
0.27297
0.09682
-0.13226
-0.33648
-0.46720
-0.47662
-0.37260
-0.17699
0.03878
0.19909
0.28293
0.27586
0.21163
0.12458
0.03349
-0.02543
-0.05411
-0.08382
-0.12956
-0.17938
-0.23246
-0.27882
-0.28103
-0.22938
-0.12739
-0.00102
0.10837
0.17298
0.16840
0.09733
-0.01783
-0.13544
-0.21305
-0.24415
-0.22895
-0.17836
-0.11654
-0.05894
-0.02292
-0.00262
0.01384
0.01677
0.00575
-0.00588
-0.01951
-0.03828
-0.05154
-0.05059
-0.03635
-0.01756
-0.00342
0.00831
0.01622
0.01685
0.01652
0.02197
0.03450
0.04141
0.03876
0.02826
0.01505
0.00931
0.01498
0.04510
0.09824
0.14379
0.17917
0.19185
0.18581
0.16996
0.14369
0.14301
0.15520
0.17159
0.19098
0.19146
0.16703
0.09169
-0.03730
-0.16428
-0.25636
-0.28380
-0.23738
-0.15225
-0.04941
0.04968
0.14175
0.22251
0.29591
0.34995
0.33704
0.23542
0.04380
-0.18654
-0.39097
-0.51064
-0.50244
-0.37535
-0.15650
0.07609
0.25231
0.34358
0.33878
0.26492
0.15348
0.04286
-0.03591
-0.09208
-0.13660
-0.17799
-0.21545
-0.24485
-0.25757
-0.24052
-0.19739
-0.11599
-0.02041
0.07748
0.15897
0.16718
0.11227
-0.00439
-0.13617
-0.22806
-0.26938
-0.23217
-0.14466
-0.05405
0.00374
0.01305
-0.00912
-0.03550
-0.05203
-0.04461
-0.01029
0.02439
0.03848
0.03049
0.01335
0.00391
0.00305
0.01283
0.03536
0.05128
0.04771
0.03618
0.02713
0.03190
0.04201
0.05479
0.07020
0.06943
0.06274
0.05923
0.06860
0.09820
0.14321
0.18307
0.21396
0.22442
0.21395
0.18310
0.16971
0.17129
0.17810
0.19951
0.16011
0.06453
-0.09380
-0.26262
-0.37083
-0.38028
-0.28915
-0.16384
-0.00462
0.14098
0.25095
0.33051
0.37255
0.37859
0.29633
0.12160
-0.10887
-0.33745
-0.50102
-0.56469
-0.49238
-0.30230
-0.06388
0.15833
0.30746
0.36503
0.33628
0.23902
0.11882
0.01119
-0.06299
-0.12370
-0.17464
-0.21293
-0.24493
-0.27125
-0.27177
-0.24031
-0.18523
-0.08869
0.00221
0.09925
0.16242
0.14046
0.07045
-0.05412
-0.17145
-0.24963
-0.26912
-0.20814
-0.11368
-0.02939
0.01192
0.00684
-0.02911
-0.06740
-0.08922
-0.07406
-0.02329
0.02525
0.05022
0.05428
0.04441
0.03401
0.02959
0.04147
0.06763
0.07873
0.07109
0.05678
0.04430
0.04152
0.05065
0.07190
0.09452
0.10142
0.09687
0.08859
0.09787
0.13250
0.18733
0.25166
0.29867
0.30687
0.28729
0.24385
0.21644
0.20704
0.15641
0.05923
-0.09969
-0.26661
-0.40015
-0.44151
-0.36472
-0.23712
-0.06708
0.10622
0.25913
0.37310
0.44281
0.46281
0.37989
0.19241
-0.06768
-0.32860
-0.52808
-0.61651
-0.55197
-0.36336
-0.10759
0.14317
0.32064
0.39922
0.38024
0.28956
0.16761
0.04850
-0.04088
-0.11195
-0.17621
-0.22397
-0.25853
-0.28542
-0.29047
-0.24235
-0.17109
-0.08401
0.01987
0.09740
0.14501
0.11919
0.02924
-0.08951
-0.22246
-0.30705
-0.31535
-0.24743
-0.12124
0.00993
0.08915
0.09844
0.03640
-0.06068
-0.14335
-0.18128
-0.15651
-0.08990
-0.01892
0.03422
0.05684
0.05025
0.04002
0.03961
0.05096
0.06999
0.08401
0.08906
0.08062
0.05919
0.04390
0.03838
0.03840
0.04228
0.05118
0.06643
0.09359
0.13124
0.18688
0.23953
0.27685
0.29276
0.27554
0.25887
0.23851
0.22622
0.20072
0.11956
-0.02204
-0.19779
-0.35776
-0.43886
-0.40407
-0.30064
-0.14780
0.03336
0.19649
0.32006
0.41014
0.46476
0.43536
0.29235
0.05512
-0.21157
-0.44984
-0.59689
-0.59348
-0.44010
-0.19033
0.07618
0.29585
0.41873
0.43189
0.35126
0.21729
0.07754
-0.03413
-0.11516
-0.17449
-0.20755
-0.22579
-0.24454
-0.25962
-0.23820
-0.19751
-0.13527
-0.04629
0.05210
0.15023
0.17407
0.12831
0.02497
-0.12880
-0.26656
-0.33711
-0.31217
-0.20593
-0.06781
0.04519
0.10300
0.08251
0.01404
-0.05548
-0.10325
-0.10666
-0.07312
-0.03170
-0.00038
0.01249
0.00896
0.00659
0.01409
0.03464
0.05800
0.07219
0.08526
0.09384
0.09587
0.10054
0.10225
0.09377
0.07210
0.04469
0.03118
0.04494
0.08419
0.15382
0.22829
0.28469
0.31488
0.30572
0.28552
0.25996
0.21855
0.13327
-0.00932
-0.17444
-0.34036
-0.44345
-0.43994
-0.36244
-0.23168
-0.05921
0.12129
0.27056
0.38914
0.46782
0.45571
0.31842
0.07725
-0.20095
-0.44905
-0.60404
-0.60724
-0.45881
-0.21635
0.04895
0.26619
0.38851
0.40214
0.32750
0.20128
0.07434
-0.01925
-0.08002
-0.12314
-0.15449
-0.17796
-0.21492
-0.25833
-0.27101
-0.25550
-0.20171
-0.10487
0.01422
0.14337
0.20050
0.17147
0.07860
-0.08318
-0.24728
-0.34541
-0.34237
-0.24135
-0.09490
0.04399
0.13180
0.12893
0.05822
-0.02845
-0.09595
-0.11829
-0.08991
-0.03657
0.01879
0.05883
0.07094
0.06485
0.05387
0.04970
0.05159
0.05460
0.06638
0.09234
0.11762
0.13990
0.15856
0.15984
0.13558
0.09649
0.06925
0.06757
0.09668
0.15606
0.24249
0.32138
0.36600
0.38668
0.36451
0.28823
0.13544
-0.06098
-0.24686
-0.40917
-0.46891
-0.42637
-0.33610
-0.20854
-0.05222
0.11053
0.25798
0.39472
0.48798
0.47254
0.31077
0.04385
-0.25473
-0.52216
-0.67100
-0.64631
-0.46813
-0.19871
0.08606
0.31472
0.42799
0.41840
0.31706
0.16601
0.02154
-0.07319
-0.10989
-0.11793
-0.11582
-0.13296
-0.18642
-0.25985
-0.30940
-0.30148
-0.25267
-0.13181
0.01434
0.14239
0.22144
0.18181
0.07573
-0.09625
-0.29191
-0.40841
-0.42737
-0.33530
-0.14933
0.04682
0.18537
0.22898
0.15805
0.02659
-0.10799
-0.20034
-0.20510
-0.14130
-0.04730
0.04960
0.11032
0.12255
0.09739
0.05991
0.03219
0.02313
0.04084
0.08609
0.13467
0.16899
0.18678
0.17667
0.14610
0.10912
0.07090
0.06783
0.09435
0.14726
0.24360
0.32900
0.39697
0.42890
0.40195
0.31175
0.13180
-0.08861
-0.28435
-0.42820
-0.46376
-0.39431
-0.28820
-0.15474
-0.00613
0.14011
0.27661
0.40758
0.50129
0.48354
0.31411
0.03499
-0.27426
-0.55084
-0.70578
-0.67656
-0.48279
-0.19717
0.10803
0.35752
0.48876
0.48450
0.37745
0.21202
0.04213
-0.08156
-0.14338
-0.16221
-0.15693
-0.15516
-0.18297
-0.23743
-0.28173
-0.27966
-0.24228
-0.13602
0.00559
0.13421
0.21568
0.18844
0.08253
-0.08976
-0.29227
-0.42651
-0.45292
-0.37011
-0.18491
0.02686
0.18307
0.24710
0.19118
0.05447
-0.09475
-0.21430
-0.25165
-0.20060
-0.09723
0.02402
0.12082
0.16502
0.15165
0.10085
0.03787
-0.00842
-0.01976
0.01427
0.08237
0.15754
0.21324
0.22960
0.20317
0.14616
0.08579
0.05533
0.08154
0.15046
0.25019
0.35427
0.42514
0.43434
0.35407
0.17098
-0.06981
-0.29912
-0.46786
-0.50359
-0.42117
-0.27964
-0.10200
0.07526
0.22121
0.33068
0.41288
0.43870
0.37091
0.19132
-0.05957
-0.31461
-0.52353
-0.61841
-0.56015
-0.37379
-0.12524
0.12972
0.33045
0.42810
0.41752
0.33256
0.20183
0.06750
-0.02915
-0.08971
-0.12277
-0.14575
-0.16622
-0.20311
-0.24487
-0.26265
-0.23576
-0.17649
-0.08374
0.03188
0.11515
0.16374
0.13400
0.03384
-0.11314
-0.28294
-0.39154
-0.40740
-0.32149
-0.14299
0.06362
0.20321
0.24401
0.17384
0.02376
-0.12715
-0.23134
-0.24271
-0.16855
-0.05618
0.06246
0.14958
0.17532
0.14927
0.09297
0.03395
-0.00385
-0.00675
0.02832
0.09256
0.16014
0.21026
0.23227
0.21804
0.18158
0.12625
0.09329
0.10249
0.15052
0.23784
0.33730
0.40515
0.39146
0.26841
0.04651
-0.19064
-0.38647
-0.47304
-0.42466
-0.29924
-0.12446
0.05458
0.21059
0.32639
0.40140
0.42003
0.34562
0.17034
-0.07293
-0.31419
-0.50519
-0.58676
-0.52967
-0.35752
-0.12656
0.10295
0.28470
0.37595
0.37001
0.29736
0.18852
0.07450
-0.01382
-0.06917
-0.09847
-0.12490
-0.15662
-0.19781
-0.23843
-0.25987
-0.23513
-0.16764
-0.08306
0.02557
0.10060
0.12689
0.09811
-0.00329
-0.13558
-0.27963
-0.38362
-0.39610
-0.31773
-0.16957
0.02580
0.17732
0.22677
0.18567
0.05660
-0.09873
-0.22038
-0.26799
-0.21851
-0.10632
0.01935
0.12855
0.18414
0.17256
0.11479
0.04163
-0.01481
-0.03239
-0.00561
0.05650
0.13308
0.19354
0.22763
0.22185
0.19273
0.15316
0.12063
0.11932
0.15964
0.23581
0.31999
0.39280
0.39734
0.31871
0.12837
-0.09865
-0.28723
-0.41978
-0.41314
-0.31781
-0.16490
0.00380
0.16470
0.30561
0.40578
0.46499
0.43654
0.31413
0.07955
-0.19340
-0.43167
-0.59185
-0.61103
-0.48732
-0.25757
0.00057
0.23306
0.39316
0.43853
0.38737
0.27711
0.14346
0.02282
-0.05998
-0.10130
-0.12475
-0.14683
-0.18305
-0.22233
-0.25111
-0.25239
-0.20567
-0.12846
-0.02261
0.07526
0.14011
0.15140
0.07889
-0.05559
-0.22473
-0.37801
-0.46490
-0.43478
-0.29832
-0.09641
0.10444
0.21649
0.22543
0.12453
-0.03695
-0.18451
-0.26550
-0.26028
-0.17605
-0.04886
0.06640
0.14062
0.15070
0.10863
0.03860
-0.02899
-0.06129
-0.04458
0.01366
0.09644
0.17876
0.23085
0.23592
0.20249
0.14538
0.09227
0.07083
0.10427
0.18680
0.29666
0.38648
0.41481
0.35357
0.15044
-0.08412
-0.29516
-0.44932
-0.46037
-0.36486
-0.19385
0.00080
0.20097
0.36781
0.48300
0.53042
0.47555
0.32959
0.07060
-0.21351
-0.44755
-0.59199
-0.60258
-0.47188
-0.23257
0.02504
0.25760
0.41532
0.46113
0.40968
0.29514
0.16046
0.03652
-0.04729
-0.09081
-0.11312
-0.13222
-0.16589
-0.20071
-0.23031
-0.22657
-0.16157
-0.04180
0.08233
0.18352
0.22980
0.17047
0.04845
-0.13475
-0.32310
-0.46229
-0.52843
-0.46482
-0.29707
-0.06925
0.15965
0.32443
0.34914
0.23510
0.03238
-0.20250
-0.37069
-0.43103
-0.35914
-0.18124
0.02062
0.18895
0.27022
0.25176
0.15097
0.02109
-0.08206
-0.12801
-0.09788
-0.01629
0.08960
0.17501
0.21866
0.21145
0.16572
0.12006
0.08750
0.10188
0.15732
0.24728
0.34788
0.39601
0.38747
0.27915
0.05403
-0.17806
-0.37944
-0.49352
-0.45956
-0.32491
-0.13375
0.07378
0.27134
0.41068
0.50033
0.51377
0.43597
0.26802
-0.00007
-0.26559
-0.47900
-0.59938
-0.59033
-0.43932
-0.19680
0.05003
0.27423
0.42438
0.46626
0.41156
0.29774
0.16222
0.02924
-0.06826
-0.12621
-0.15450
-0.17551
-0.20081
-0.21870
-0.23147
-0.21110
-0.13741
-0.00956
0.14227
0.28239
0.33803
0.27768
0.12519
-0.13390
-0.38102
-0.56648
-0.66195
-0.58921
-0.39631
-0.13314
0.14066
0.33808
0.40436
0.35195
0.16860
-0.07640
-0.27126
-0.41325
-0.44184
-0.34276
-0.18411
-0.00686
0.13745
0.20903
0.20134
0.13326
0.03978
-0.02658
-0.04835
-0.03069
0.03781
0.11019
0.15399
0.16638
0.15151
0.12673
0.10266
0.11353
0.17224
0.24827
0.32574
0.38625
0.37395
0.31430
0.15018
-0.06612
-0.23800
-0.38831
-0.41610
-0.33986
-0.19699
-0.03870
0.13570
0.29982
0.40553
0.48769
0.48148
0.40161
0.21125
-0.05879
-0.30897
-0.50722
-0.59142
-0.54407
-0.34872
-0.08944
0.16142
0.37395
0.48070
0.47828
0.38025
0.23954
0.08935
-0.03271
-0.10640
-0.14775
-0.15973
-0.17512
-0.19486
-0.21512
-0.22544
-0.19206
-0.10405
0.03368
0.18543
0.31078
0.36734
0.28496
0.09500
-0.16203
-0.43061
-0.60633
-0.66988
-0.58332
-0.37300
-0.11132
0.14116
0.32409
0.38272
0.30546
0.14516
-0.08004
-0.28296
-0.40327
-0.42790
-0.34340
-0.19625
-0.04388
0.07302
0.12932
0.11404
0.06094
0.00797
-0.02149
-0.01350
0.02707
0.07728
0.11848
0.12275
0.09650
0.06065
0.03004
0.03160
0.06245
0.13598
0.23667
0.32052
0.37998
0.39157
0.33896
0.24957
0.07848
-0.10830
-0.23824
-0.34097
-0.34237
-0.26236
-0.14422
-0.02606
0.10994
0.24940
0.35302
0.44995
0.47407
0.42378
0.25114
-0.01650
-0.27614
-0.48479
-0.57983
-0.53365
-0.32949
-0.05798
0.20968
0.43389
0.54511
0.53486
0.41623
0.24580
0.06644
-0.08031
-0.16521
-0.19898
-0.18948
-0.18477
-0.18514
-0.19142
-0.19234
-0.14799
-0.05121
0.09146
0.23663
0.35449
0.38384
0.30003
0.09141
-0.17983
-0.43762
-0.64460
-0.68782
-0.58041
-0.35347
-0.07097
0.17918
0.34221
0.36920
0.27635
0.10223
-0.07636
-0.24945
-0.36120
-0.37219
-0.32508
-0.22488
-0.11375
-0.01663
0.04480
0.06244
0.04982
0.03288
0.03529
0.04924
0.08041
0.10512
0.10187
0.06836
0.00254
-0.05492
-0.08032
-0.05760
0.01633
0.12456
0.24897
0.34395
0.40211
0.40989
0.37278
0.31051
0.20301
0.03951
-0.12893
-0.27032
-0.38207
-0.38640
-0.30883
-0.19643
-0.05067
0.11627
0.28725
0.42374
0.52622
0.54793
0.45796
0.22749
-0.09175
-0.38808
-0.61067
-0.68759
-0.57976
-0.30186
0.03938
0.35394
0.57881
0.64749
0.56325
0.36915
0.13836
-0.06567
-0.19758
-0.24559
-0.23472
-0.19966
-0.17180
-0.16533
-0.17123
-0.16076
-0.10045
0.01358
0.16647
0.31887
0.41346
0.40383
0.26777
0.03356
-0.27191
-0.53428
-0.68994
-0.71234
-0.52553
-0.24180
0.05810
0.31489
0.42296
0.37282
0.20940
-0.01768
-0.22211
-0.32637
-0.36868
-0.32465
-0.21138
-0.12294
-0.05449
-0.00268
0.01775
0.02297
0.03298
0.05387
0.08568
0.11545
0.11727
0.09377
0.04370
-0.02987
-0.09454
-0.12417
-0.10225
-0.03316
0.08036
0.20929
0.31720
0.38335
0.39725
0.35966
0.29396
0.23413
0.16836
0.14155
0.09176
-0.01609
-0.09493
-0.21158
-0.29673
-0.30517
-0.26252
-0.16744
-0.01966
0.18101
0.35007
0.50215
0.55841
0.48778
0.30160
-0.00600
-0.31577
-0.54663
-0.63415
-0.57038
-0.34382
-0.02762
0.25142
0.45762
0.52848
0.46488
0.30600
0.11637
-0.04720
-0.15166
-0.18648
-0.18975
-0.17333
-0.17745
-0.20198
-0.21905
-0.21085
-0.14854
-0.02280
0.14259
0.29294
0.38043
0.36531
0.22669
0.00373
-0.26981
-0.50781
-0.62050
-0.61538
-0.45820
-0.19695
0.05877
0.23963
0.30113
0.22966
0.06976
-0.10185
-0.24247
-0.27703
-0.23408
-0.17125
-0.09273
-0.04204
-0.04190
-0.06448
-0.07113
-0.05626
-0.00710
0.06098
0.11980
0.15585
0.14446
0.08391
0.00209
-0.07345
-0.12152
-0.12023
-0.06330
0.03141
0.14354
0.25015
0.31532
0.32985
0.30584
0.25274
0.19750
0.16514
0.18213
0.21936
0.25138
0.27689
0.18561
0.03415
-0.12339
-0.29603
-0.35953
-0.32652
-0.22054
-0.07200
0.12585
0.31009
0.42995
0.52226
0.49725
0.38554
0.16441
-0.11821
-0.35920
-0.50935
-0.53002
-0.43873
-0.21000
0.04067
0.24583
0.37969
0.41511
0.36233
0.23941
0.11049
-0.01254
-0.10213
-0.16380
-0.20822
-0.23712
-0.25498
-0.24878
-0.22296
-0.15451
-0.04570
0.09043
0.21689
0.29481
0.30300
0.22369
0.06644
-0.13000
-0.30928
-0.44723
-0.48749
-0.44366
-0.33175
-0.14422
0.00746
0.09328
0.12831
0.08362
-0.00135
-0.06242
-0.10433
-0.10141
-0.05879
-0.06618
-0.09451
-0.12367
-0.17642
-0.19423
-0.14028
-0.04680
0.06417
0.16444
0.19789
0.16486
0.07932
-0.02970
-0.11404
-0.14132
-0.10626
-0.03102
0.06951
0.15898
0.21252
0.23528
0.22708
0.20024
0.17049
0.15463
0.14782
0.15653
0.18215
0.21535
0.24145
0.24045
0.22742
0.11565
-0.02836
-0.14934
-0.26571
-0.27319
-0.20993
-0.10051
0.01056
0.14126
0.25658
0.32616
0.39255
0.37496
0.29925
0.12783
-0.10472
-0.31744
-0.45361
-0.46981
-0.38743
-0.17513
0.06146
0.25519
0.36872
0.37381
0.28974
0.14887
0.02346
-0.08180
-0.13324
-0.15010
-0.15969
-0.17273
-0.20190
-0.21347
-0.20453
-0.14993
-0.05046
0.08758
0.22137
0.29492
0.29163
0.19618
0.03781
-0.15606
-0.32393
-0.41624
-0.42727
-0.34983
-0.22786
-0.07602
0.06230
0.11959
0.11355
0.05458
-0.02089
-0.06732
-0.07346
-0.05071
-0.00106
0.01744
-0.03257
-0.09192
-0.15716
-0.19230
-0.15681
-0.07022
0.03918
0.14319
0.18693
0.15648
0.09266
0.00938
-0.05537
-0.06876
-0.03631
0.02382
0.09174
0.13809
0.14636
0.13755
0.12374
0.09741
0.08496
0.08483
0.09380
0.11776
0.14143
0.18468
0.23380
0.27563
0.27807
0.25590
0.15894
-0.01012
-0.14528
-0.27804
-0.30561
-0.24816
-0.16333
-0.05981
0.05657
0.19059
0.26669
0.35427
0.37565
0.31644
0.17163
-0.06076
-0.27597
-0.42820
-0.45841
-0.40225
-0.22809
-0.01506
0.14552
0.24794
0.25453
0.19868
0.11217
0.04173
-0.01635
-0.05067
-0.06804
-0.11291
-0.17413
-0.24819
-0.28688
-0.26992
-0.19624
-0.06254
0.10296
0.25092
0.31304
0.27967
0.16114
0.00103
-0.15593
-0.27426
-0.30963
-0.26103
-0.18292
-0.12228
-0.05046
-0.01503
-0.01000
0.01169
0.01011
0.02148
0.05157
0.06195
0.06007
0.05831
0.01256
-0.04486
-0.08828
-0.14234
-0.14156
-0.08735
-0.01805
0.05903
0.12960
0.15889
0.14624
0.10278
0.04207
-0.00018
-0.02177
-0.02827
-0.01542
0.01725
0.04235
0.05487
0.07386
0.09404
0.10944
0.12513
0.13532
0.14241
0.14082
0.13450
0.13034
0.13409
0.15756
0.18544
0.20583
0.20965
0.17550
0.05678
-0.05925
-0.16522
-0.24773
-0.21777
-0.15780
-0.08825
-0.01956
0.08449
0.17284
0.24800
0.31723
0.29387
0.20944
0.01508
-0.21727
-0.40072
-0.47013
-0.43341
-0.31252
-0.09728
0.07901
0.19104
0.21953
0.16915
0.08201
0.01452
-0.01769
-0.05400
-0.06146
-0.08398
-0.14329
-0.22090
-0.27801
-0.27392
-0.20378
-0.07164
0.07172
0.20819
0.28585
0.26095
0.15746
0.02267
-0.09637
-0.18512
-0.21535
-0.19298
-0.13433
-0.08785
-0.07983
-0.06885
-0.06799
-0.03297
0.02893
0.07537
0.12924
0.14841
0.11314
0.05752
0.00180
-0.06184
-0.07985
-0.07567
-0.08745
-0.06462
-0.03727
-0.02202
0.00314
0.04084
0.06892
0.08932
0.09110
0.06699
0.04242
0.02165
0.00144
-0.00918
0.00613
0.02140
0.02793
0.03983
0.04495
0.04676
0.06456
0.08574
0.10021
0.12185
0.13655
0.13701
0.14008
0.15448
0.17786
0.21160
0.23596
0.23106
0.19954
0.07233
-0.08635
-0.21363
-0.30605
-0.27229
-0.18291
-0.08654
-0.00442
0.08729
0.16069
0.19577
0.25309
0.24267
0.18368
0.04225
-0.15156
-0.30913
-0.38674
-0.35966
-0.28660
-0.13536
-0.00287
0.07471
0.10829
0.09069
0.06998
0.06972
0.09811
0.08340
0.04548
-0.01880
-0.12597
-0.23326
-0.29740
-0.26657
-0.16599
-0.03015
0.09102
0.16668
0.19400
0.15310
0.07663
0.00949
-0.01353
-0.01869
-0.02675
-0.03321
-0.05345
-0.09754
-0.14185
-0.13884
-0.11194
-0.01676
0.08357
0.10725
0.10733
0.06301
0.00580
-0.01826
-0.00948
0.01099
0.05124
0.04074
-0.04818
-0.11818
-0.16525
-0.15722
-0.09122
0.00442
0.09143
0.12814
0.10380
0.03064
-0.02723
-0.05083
-0.04349
-0.02565
-0.00364
0.00202
-0.01359
-0.01848
-0.01480
0.02328
0.08689
0.12655
0.12125
0.09217
0.04802
0.00465
0.00154
0.03467
0.09905
0.17924
0.23093
0.24477
0.23590
0.20338
0.14400
0.02360
-0.07967
-0.16016
-0.22606
-0.19697
-0.16086
-0.13344
-0.09824
-0.01776
0.08714
0.19893
0.30949
0.31675
0.25407
0.08919
-0.12447
-0.26957
-0.30557
-0.25345
-0.17676
-0.06836
-0.02453
-0.03344
-0.03084
-0.03187
0.01405
0.12316
0.22534
0.22976
0.16439
0.05109
-0.10070
-0.20687
-0.24305
-0.19858
-0.10371
-0.01504
0.02479
0.03445
0.06316
0.08666
0.12548
0.17897
0.20605
0.17966
0.10454
0.00092
-0.10452
-0.17202
-0.17392
-0.14279
-0.09920
-0.01597
0.01438
-0.00189
-0.00281
-0.00631
0.03006
0.09747
0.11586
0.08436
0.03850
-0.07315
-0.18996
-0.22522
-0.20022
-0.12342
-0.03836
0.01682
0.02236
0.00652
-0.00487
-0.02107
-0.01028
0.01873
0.01104
-0.04135
-0.10287
-0.15574
-0.15774
-0.09326
-0.02665
0.04735
0.10847
0.10232
0.05911
0.02891
0.02409
0.04141
0.07150
0.08765
0.08882
0.07621
0.07859
0.09927
0.15581
0.23033
0.25828
0.23531
0.17026
0.03863
-0.09046
-0.16307
-0.22012
-0.18136
-0.10912
-0.09156
-0.08711
-0.02965
0.08437
0.20975
0.32961
0.35426
0.27630
0.11281
-0.10326
-0.26476
-0.29331
-0.22352
-0.15219
-0.09465
-0.07626
-0.08961
-0.05923
0.01044
0.09737
0.21616
0.29290
0.24286
0.10178
-0.02723
-0.11380
-0.14451
-0.11205
-0.07509
-0.04283
-0.02915
-0.04017
-0.04278
0.03103
0.14560
0.22317
0.25432
0.21179
0.11863
0.02049
-0.04534
-0.08552
-0.08512
-0.05377
-0.06319
-0.10650
-0.13758
-0.13499
-0.09067
-0.01105
0.06024
0.10002
0.10943
0.06220
-0.01403
-0.06428
-0.08679
-0.09763
-0.10895
-0.13232
-0.16360
-0.17260
-0.14769
-0.10304
-0.04772
0.00182
0.02363
0.00431
-0.03304
-0.06029
-0.07232
-0.07407
-0.07501
-0.07393
-0.05884
-0.02756
0.00489
0.04384
0.08864
0.11337
0.11724
0.10148
0.07726
0.06535
0.06955
0.07549
0.07636
0.08626
0.08501
0.10717
0.13935
0.18965
0.24340
0.25254
0.22564
0.17005
0.08515
-0.02432
-0.08168
-0.14880
-0.15914
-0.12724
-0.14109
-0.15221
-0.11227
0.01272
0.15132
0.28660
0.32457
0.27649
0.17601
0.02861
-0.09536
-0.14380
-0.13296
-0.15596
-0.18767
-0.24107
-0.25475
-0.17540
-0.05464
0.05546
0.15330
0.22519
0.20673
0.15983
0.11228
0.08945
0.07193
0.02831
-0.05086
-0.13642
-0.17096
-0.16878
-0.12374
-0.04709
0.04140
0.10236
0.13033
0.13480
0.13248
0.14801
0.14670
0.09676
0.00754
-0.10064
-0.18790
-0.24257
-0.23800
-0.18320
-0.14175
-0.10678
-0.09321
-0.06457
0.01786
0.10241
0.13552
0.10974
0.02936
-0.07885
-0.15822
-0.20731
-0.20382
-0.17198
-0.15646
-0.15306
-0.14470
-0.09676
-0.02156
0.05469
0.10483
0.11936
0.10060
0.05938
0.01449
-0.00942
-0.01291
-0.01716
-0.01378
-0.00505
0.01334
0.05988
0.11001
0.13228
0.14088
0.13401
0.11419
0.09911
0.09662
0.10756
0.11562
0.11366
0.11328
0.12868
0.16836
0.21055
0.23426
0.21770
0.17752
0.11588
0.00941
-0.05742
-0.10946
-0.12493
-0.08077
-0.08482
-0.11942
-0.12159
-0.03563
0.07106
0.18302
0.23887
0.19510
0.12884
0.02768
-0.05832
-0.10491
-0.09843
-0.11962
-0.17768
-0.22516
-0.24966
-0.18699
-0.08701
-0.01849
0.01230
0.05266
0.07409
0.08249
0.11536
0.12882
0.11436
0.06865
-0.01266
-0.09469
-0.11970
-0.10430
-0.09620
-0.08653
-0.07957
-0.06871
-0.03518
0.00795
0.04017
0.06731
0.08315
0.05957
0.02529
0.01232
-0.00300
-0.02511
-0.05910
-0.11413
-0.14585
-0.13801
-0.12378
-0.10304
-0.07195
-0.05231
-0.03320
-0.01449
-0.00079
0.01101
0.01009
-0.01785
-0.06246
-0.09602
-0.10477
-0.08778
-0.06306
-0.04133
-0.03119
-0.02093
-0.00930
0.00646
0.03250
0.06486
0.08636
0.08662
0.07760
0.06877
0.06721
0.06665
0.07113
0.07455
0.07827
0.08369
0.09324
0.09809
0.10579
0.11679
0.12224
0.12845
0.12582
0.12814
0.13248
0.13416
0.14718
0.16166
0.18195
0.19892
0.19781
0.18172
0.14168
0.09253
0.00753
-0.04710
-0.09207
-0.13504
-0.11123
-0.12670
-0.15414
-0.15804
-0.10000
-0.00275
0.08129
0.12395
0.08397
0.04823
0.00982
-0.01509
-0.01905
-0.04933
-0.10561
-0.16718
-0.21303
-0.23302
-0.18078
-0.11121
-0.08914
-0.08107
-0.05342
-0.01573
0.04034
0.10083
0.11637
0.10672
0.08705
0.05562
0.03021
0.01379
-0.00705
-0.03513
-0.06563
-0.09129
-0.08942
-0.06183
-0.04493
-0.03622
-0.01825
-0.00265
0.01911
0.05793
0.08147
0.06844
0.03141
-0.01045
-0.05279
-0.07960
-0.07799
-0.10259
-0.14186
-0.16749
-0.17301
-0.11694
-0.05409
-0.01762
0.00028
-0.00712
-0.01555
-0.00546
0.01480
0.02232
0.02036
0.00524
-0.01607
-0.02099
-0.00309
0.01841
0.02369
0.02604
0.03341
0.04824
0.07377
0.08920
0.09065
0.08628
0.07465
0.07931
0.09724
0.10002
0.09678
0.08448
0.06809
0.07090
0.09298
0.11367
0.10977
0.09594
0.08108
0.07266
0.08883
0.10324
0.11350
0.12427
0.12705
0.13538
0.14518
0.13877
0.11640
0.07863
-0.01426
-0.07183
-0.09653
-0.12375
-0.11486
-0.13803
-0.16685
-0.16571
-0.09872
-0.01721
0.04768
0.08047
0.05337
0.04099
0.03147
0.03427
0.04456
0.01980
-0.05059
-0.11953
-0.14538
-0.14643
-0.12286
-0.10927
-0.12565
-0.11807
-0.07233
-0.03221
0.02134
0.07500
0.08564
0.07796
0.07717
0.08459
0.09357
0.09503
0.05602
0.00400
-0.03132
-0.06122
-0.07116
-0.07020
-0.08283
-0.08813
-0.06697
-0.05149
-0.02492
0.01324
0.02467
0.02637
0.04066
0.04243
0.02932
0.02248
-0.00497
-0.04323
-0.06838
-0.09138
-0.09936
-0.09145
-0.09310
-0.09048
-0.07044
-0.04878
-0.02450
0.00433
0.01207
0.00724
0.00901
0.00008
-0.01051
-0.00556
0.00040
-0.00337
0.00006
0.00179
0.00200
0.00981
0.01421
0.01560
0.02320
0.03221
0.03547
0.04343
0.04688
0.04689
0.05090
0.05079
0.05090
0.05585
0.06220
0.06381
0.06676
0.07227
0.06758
0.06387
0.06132
0.05383
0.04971
0.05372
0.06313
0.07380
0.09010
0.09727
0.10682
0.10886
0.10978
0.11131
0.10183
0.09066
0.03106
-0.00539
-0.03169
-0.06420
-0.07160
-0.10905
-0.13157
-0.12439
-0.07071
-0.02586
-0.00912
0.00298
-0.00444
0.01651
0.03196
0.03385
0.03134
0.00939
-0.01596
-0.03352
-0.03269
-0.02638
-0.03413
-0.05241
-0.06695
-0.04691
-0.01430
-0.01138
-0.00695
-0.00095
0.00663
0.02400
0.04083
0.05290
0.05490
0.05131
0.03996
0.04179
0.04779
0.03767
0.01585
-0.00650
-0.01503
-0.00909
-0.01145
-0.03304
-0.04492
-0.05401
-0.06430
-0.06339
-0.06033
-0.06740
-0.06830
-0.05818
-0.05508
-0.04203
-0.03672
-0.05109
-0.05655
-0.05060
-0.04632
-0.04300
-0.04430
-0.05323
-0.05534
-0.05209
-0.04802
-0.04042
-0.03237
-0.03136
-0.02536
-0.01377
-0.00716
-0.00115
0.00209
-0.00007
0.00564
0.01963
0.02453
0.02750
0.02603
0.01940
0.01916
0.02793
0.04097
0.05397
0.05917
0.05231
0.04215
0.03293
0.02927
0.02928
0.02982
0.03106
0.03120
0.02864
0.02276
0.02538
0.03824
0.05076
0.06654
0.07607
0.07511
0.07207
0.07647
0.08025
0.08785
0.09825
0.10071
0.10702
0.10980
0.11301
0.10994
0.08528
0.05576
0.04504
0.03286
0.01341
-0.02301
-0.08735
-0.13107
-0.12153
-0.08061
-0.05460
-0.04366
-0.04106
-0.03092
-0.00339
0.02141
0.04273
0.04803
0.03170
0.00923
0.00725
0.02313
0.01994
-0.00846
-0.04123
-0.04591
-0.02830
-0.02761
-0.04195
-0.05240
-0.05284
-0.04129
-0.02430
-0.01131
-0.00308
0.00216
0.00483
0.01724
0.04025
0.04964
0.03977
0.02799
0.02444
0.02390
0.01211
-0.01619
-0.04276
-0.05952
-0.07290
-0.07583
-0.07610
-0.08126
-0.08252
-0.07839
-0.07483
-0.06641
-0.05577
-0.05210
-0.04291
-0.03016
-0.02503
-0.02637
-0.02778
-0.03138
-0.03404
-0.03097
-0.02878
-0.02627
-0.02399
-0.02414
-0.02424
-0.02235
-0.01722
-0.01163
-0.00720
-0.00403
-0.00133
0.00259
0.01069
0.02552
0.04023
0.05304
0.05895
0.05953
0.05641
0.05074
0.04621
0.04038
0.03709
0.03520
0.03251
0.02571
0.01901
0.00969
0.00499
0.01113
0.01672
0.02434
0.02550
0.02481
0.03245
0.04046
0.04797
0.04537
0.03655
0.03269
0.03587
0.04136
0.04337
0.04344
0.04373
0.04624
0.05151
0.06273
0.07508
0.08199
0.08505
0.08854
0.08866
0.08259
0.05619
0.03399
0.02391
0.00888
0.00027
-0.02331
-0.04962
-0.06880
-0.06621
-0.04841
-0.04069
-0.02701
-0.01986
-0.00821
-0.00091
0.00341
0.01099
0.01290
0.01510
0.00578
0.00163
0.00449
0.00072
-0.00798
-0.01194
-0.01346
-0.01208
-0.01035
-0.01008
-0.01138
-0.01305
-0.01247
-0.01225
-0.00855
-0.00872
-0.01299
-0.01661
-0.01440
-0.01102
-0.00888
-0.00805
-0.00950
-0.01223
-0.01434
-0.01309
-0.01248
-0.01454
-0.02312
-0.03382
-0.03632
-0.03408
-0.03420
-0.03418
-0.03838
-0.03943
-0.03768
-0.03912
-0.03299
-0.03207
-0.02925
-0.02795
-0.03207
-0.03058
-0.03145
-0.02821
-0.02946
-0.02951
-0.02348
-0.01383
0.00214
0.00994
0.01042
0.01096
0.01239
0.01493
0.01827
0.01956
0.01524
0.00748
-0.00201
-0.01149
-0.01593
-0.01512
-0.01368
-0.00783
0.00032
0.00484
0.01022
0.01484
0.01955
0.02668
0.03068
0.03013
0.02853
0.02414
0.01675
0.01188
0.00974
0.00734
0.01033
0.01759
0.02617
0.03510
0.04144
0.04549
0.04823
0.05030
0.05132
0.05074
0.04756
0.04355
0.03714
0.03220
0.02889
0.03151
0.04100
0.05213
0.06381
0.07132
0.07554
0.07614
0.07406
0.07153
0.06645
0.06363
0.05581
0.03859
0.02220
0.00622
0.00184
0.00343
0.00793
0.01022
0.00128
-0.00662
-0.01180
-0.01050
-0.00798
-0.00929
-0.01479
-0.02066
-0.02466
-0.03000
-0.03233
-0.02927
-0.02499
-0.02059
-0.01544
-0.00946
-0.00433
-0.00391
-0.00375
-0.00373
-0.00427
-0.00765
-0.01349
-0.02079
-0.02692
-0.03086
-0.03243
-0.02502
-0.01533
-0.00687
-0.00079
0.00466
0.00889
0.01036
0.01244
0.01274
0.01311
0.01036
-0.00029
-0.01287
-0.02649
-0.03958
-0.04777
-0.05147
-0.04954
-0.04764
-0.04513
-0.04406
-0.04313
-0.03773
-0.03447
-0.02849
-0.02035
-0.01512
-0.01527
-0.01717
-0.01525
-0.01167
-0.00691
-0.00639
-0.00888
-0.01085
-0.01147
-0.01045
-0.00614
-0.00004
0.00312
0.00249
-0.00166
-0.00199
0.00287
0.00968
0.01468
0.01621
0.01288
0.00799
0.00569
0.00543
0.00679
0.00821
0.01138
0.01590
0.02084
0.02420
0.02536
0.02163
0.01880
0.02194
0.02554
0.02863
0.02996
0.02890
0.02631
0.02506
0.02479
0.02450
0.02451
0.02281
0.01787
0.01433
0.01362
0.01331
0.01698
0.02177
0.02781
0.03363
0.03656
0.03741
0.03846
0.04153
0.04167
0.04193
0.04256
0.03936
0.03404
0.02745
0.02099
0.01653
0.01361
0.01022
0.00811
0.01125
0.01413
0.01600
0.01884
0.01978
0.02308
0.02932
0.03196
0.03160
0.03086
0.02878
0.02574
0.02381
0.01950
0.01117
0.00526
-0.00012
-0.00363
-0.00713
-0.00870
-0.00901
-0.01125
-0.01215
-0.01502
-0.01379
-0.01247
-0.01079
-0.01019
-0.01078
-0.01092
-0.01164
-0.00722
-0.00406
-0.00190
-0.00272
-0.00496
-0.00772
-0.01049
-0.01125
-0.01207
-0.01243
-0.01408
-0.01844
-0.02152
-0.02144
-0.01966
-0.01588
-0.01101
-0.00897
-0.01109
-0.01126
-0.01142
-0.00664
0.00053
0.00444
0.00525
0.00197
-0.00317
-0.00713
-0.00681
-0.00522
-0.00193
0.00110
0.00071
-0.00244
-0.00726
-0.01321
-0.01597
-0.01606
-0.01513
-0.01415
-0.01350
-0.01524
-0.01946
-0.01959
-0.01709
-0.01407
-0.01125
-0.00849
-0.00400
0.00047
0.00355
0.00498
0.00642
0.00625
0.00320
0.00282
0.00407
0.00373
0.00235
0.00159
0.00217
0.00499
0.00681
0.00644
0.00642
0.00672
0.00774
0.00929
0.01142
0.01503
0.01858
0.02038
0.02109
0.01922
0.01694
0.01510
0.01275
0.01190
0.01273
0.01353
0.01338
0.01227
0.01082
0.00921
0.01071
0.01410
0.01733
0.02084
0.02298
0.02484
0.02632
0.02494
0.01940
0.01461
0.01223
0.01233
0.01393
0.01506
0.01698
0.02017
0.02234
0.02396
0.02634
0.03016
0.03366
0.03463
0.03340
0.02936
0.02511
0.02049
0.01566
0.01213
0.00877
0.00386
0.00076
0.00136
0.00554
0.01071
0.01440
0.01633
0.01616
0.01609
0.01619
0.01690
0.01768
0.01600
0.01250
0.00929
0.00611
0.00454
0.00395
0.00370
0.00442
0.00426
0.00150
-0.00290
-0.00552
-0.00707
-0.00908
-0.01181
-0.01733
-0.01954
-0.02011
-0.02223
-0.02269
-0.02210
-0.02010
-0.01876
-0.01530
-0.01329
-0.01281
-0.01224
-0.01513
-0.01709
-0.01827
-0.02180
-0.02538
-0.02734
-0.02675
-0.02344
-0.02134
-0.01873
-0.01643
-0.01422
-0.01170
-0.00942
-0.00507
-0.00218
-0.00026
-0.00074
-0.00039
0.00135
0.00168
0.00215
0.00267
0.00497
0.00887
0.01014
0.00704
0.00438
0.00166
0.00056
0.00069
0.00103
0.00050
0.00118
0.00349
0.00272
0.00375
0.00515
0.00454
0.00382
0.00256
-0.00054
-0.00346
-0.00598
-0.00782
-0.00679
-0.00275
0.00115
0.00278
0.00472
0.00575
0.00743
0.01195
0.01609
0.01909
0.01912
0.01650
0.01400
0.01191
0.01029
0.00757
0.00576
0.00429
0.00257
0.00286
0.00438
0.00884
0.01426
0.01918
0.02451
0.02650
0.02736
0.02744
0.02832
0.02984
0.02962
0.02741
0.02123
0.01526
0.00981
0.00626
0.00449
0.00304
0.00219
0.00015
-0.00086
-0.00028
0.00201
0.00575
0.00864
0.01053
0.01162
0.01086
0.00992
0.00893
0.00607
0.00271
-0.00025
-0.00203
-0.00334
-0.00461
-0.00532
-0.00394
-0.00187
0.00125
0.00359
0.00550
0.00790
0.00845
0.00916
0.00891
0.00797
0.00705
0.00544
0.00283
0.00197
0.00235
0.00300
0.00439
0.00733
0.01091
0.01331
0.01452
0.01380
0.01250
0.00986
0.00628
0.00235
-0.00162
-0.00521
-0.00850
-0.00930
-0.01070
-0.01277
-0.01314
-0.01337
-0.01120
-0.00837
-0.00644
-0.00395
-0.00292
-0.00339
-0.00475
-0.00593
-0.00808
-0.01125
-0.01372
-0.01622
-0.01781
-0.01886
-0.02147
-0.02413
-0.02382
-0.02112
-0.01763
-0.01479
-0.01264
-0.01219
-0.01173
-0.01019
-0.00796
-0.00484
-0.00237
-0.00234
-0.00356
-0.00443
-0.00421
-0.00094
0.00233
0.00370
0.00396
0.00291
0.00148
0.00249
0.00403
0.00550
0.00685
0.00808
0.00932
0.01046
0.01212
0.01258
0.01309
0.01245
0.01007
0.00834
0.00795
0.00884
0.01007
0.01203
0.01137
0.00879
0.00786
0.00703
0.00834
0.01165
0.01371
0.01396
0.01350
0.01161
0.01034
0.01092
0.01134
0.01121
0.01173
0.01009
0.00682
0.00612
0.00672
0.00891
0.01330
0.01736
0.01939
0.02040
0.01997
0.01828
0.01840
0.02002
0.01970
0.01863
0.01707
0.01591
0.01513
0.01559
0.01588
0.01567
0.01504
0.01204
0.00946
0.00773
0.00530
0.00179
-0.00068
-0.00363
-0.00560
-0.00670
-0.00834
-0.00880
-0.00855
-0.00823
-0.00785
-0.00720
-0.00625
-0.00683
-0.00891
-0.01185
-0.01471
-0.01546
-0.01477
-0.01278
-0.01158
-0.01250
-0.01498
-0.01596
-0.01460
-0.01131
-0.00717
-0.00383
-0.00227
-0.00174
-0.00260
-0.00426
-0.00426
-0.00331
-0.00150
-0.00073
-0.00135
-0.00250
-0.00314
-0.00366
-0.00281
-0.00182
-0.00260
-0.00309
-0.00398
-0.00547
-0.00687
-0.00719
-0.00686
-0.00614
-0.00491
-0.00479
-0.00395
-0.00247
-0.00144
0.00038
0.00238
0.00406
0.00429
0.00353
0.00227
0.00077
-0.00083
-0.00286
-0.00343
-0.00199
-0.00017
0.00166
0.00423
0.00688
0.00816
0.01035
0.01310
0.01581
0.01870
0.01892
0.01707
0.01464
0.01288
0.01145
0.00985
0.00688
0.00311
0.00140
0.00176
0.00293
0.00509
0.00744
0.00946
0.01087
0.01068
0.01041
0.01084
0.01170
0.01210
0.01122
0.00846
0.00486
0.00071
-0.00246
-0.00299
-0.00224
-0.00187
-0.00090
0.00096
0.00303
0.00488
0.00492
0.00435
0.00356
0.00274
0.00184
0.00061
-0.00054
-0.00172
-0.00197
-0.00200
-0.00253
-0.00256
-0.00379
-0.00512
-0.00615
-0.00576
-0.00411
-0.00294
-0.00297
-0.00477
-0.00672
-0.00944
-0.01127
-0.01223
-0.01203
-0.00968
-0.00691
-0.00466
-0.00334
-0.00387
-0.00475
-0.00505
-0.00370
-0.00038
0.00279
0.00444
0.00496
0.00370
0.00276
0.00278
0.00208
0.00167
0.00047
-0.00086
-0.00301
-0.00435
-0.00465
-0.00258
-0.00057
-0.00008
0.00130
0.00105
0.00043
0.00019
0.00038
0.00121
0.00234
0.00234
0.00092
-0.00132
-0.00400
-0.00516
-0.00460
-0.00383
-0.00234
-0.00107
-0.00027
0.00123
0.00275
0.00427
0.00457
0.00560
0.00698
0.00799
0.00845
0.00675
0.00510
0.00418
0.00443
0.00423
0.00440
0.00585
0.00751
0.00844
0.00775
0.00723
0.00641
0.00518
0.00420
0.00357
0.00315
0.00249
0.00160
0.00151
0.00212
0.00284
0.00364
0.00332
0.00214
0.00100
0.00050
-0.00020
-0.00113
-0.00115
-0.00157
-0.00169
-0.00174
-0.00151
0.00043
0.00158
0.00142
0.00112
0.00005
-0.00024
-0.00000
0.00012
0.00089
0.00189
0.00211
0.00017
-0.00191
-0.00290
-0.00264
-0.00037
0.00263

Each of those numbers is a "sample value". That is, the distance above (+ve values) or below (-ve values) the centre line of the waveform at successive moments in time:

firsttrack002.png (7.81 KiB) Viewed 882 times

"Mixing" two tracks is literally just adding two lists of numbers together.
Select two tracks, then "Tracks menu > Mix and Render", adds the first number of both lists together, then adds the second number of each list together, and so on.

"Inverting" (Effect menu > Invert) literally turns the waveform upside down. Each positive number in the list becomes a negative number, and each negative number becomes a positive number.


So mixing track A with track B can be written as:
A[1, 2, 3, ... n] + B[1, 2, 3, ... n] = [A[1]+B[1], A[2]+B[2[, A[3]+B[3], ... A[n]+B[n]]

Inverting a track can be written as:
A[1, 2, 3, ... n] -> [-A[1], -A[2], -A[3], ... -A[n]]

Inverting one track and mixing it with another track can be written as:
A[1, 2, 3, ... n] + B[1, 2, 3, ... n] = [A[1]-B[1], A[2]-B[2[, A[3]-B[3], ... A[n]-B[n]]

[jim downing]

W10,V2.1.3: Thanks for pointing out how to subtract two tracks. Now I have a further request. To effectively generate a residual signal (difference) you need to apply the same scale factors to the two tracks. Normalization adjusts the levels but it cannot be applied to two different tracks and be assured the same factor will be used for both. So, it would be useful if the normalization algorithm could report back the scale factors it computed and applied to the two stereo channels. Then those factors could be applied to the other channel using the Channel Mixer algorithm. Another very useful addition would be to display the value of a selected sample, possibly in the space down where Selection Starts, End, Length, etc. are reported. Right now it appears to me the only way to see the numeric value of a sample is to export a bit of the data with "Sample data export". That is cumbersome to say the least. Jim

[Gale Andrews]

To effectively generate a residual signal (difference) you need to apply the same scale factors to the two tracks. Normalization adjusts the levels but it cannot be applied to two different tracks and be assured the same factor will be used for both.

Use Amplify, which does apply the same scale factor to all tracks.

Another very useful addition would be to display the value of a selected sample, possibly in the space down where Selection Starts, End, Length, etc. are reported. Right now it appears to me the only way to see the numeric value of a sample is to export a bit of the data with "Sample data export".

That is a feature request. Do you want to record a "vote" for that so we can take the amount of user interest into account? The usual request is to hover over the sample to see a tooltip showing the amplitude. Or did you want to select the sample using Selection Toolbar regardless of zoom level?


Gale

[steve]

Another very useful addition would be to display the value of a selected sample

You can do that in the Nyquist Prompt effect with this command:

Code: Select all

(snd-fetch *track*)

If more than one sample is selected, it returns the amplitude of the first selected sample.