8ed16/15: Difference between revisions

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'''Delta scale''' is the equal division of the classic diatonic semitone ([[16/15]]) into eight parts of 13.9664 cents each, corresponding to 85.9204 [[edo]]. It is inconsistent to the 5-limit and higher limit, as 3/2, 5/4, and 6/5 fall on the 50th, 28th, and 23rd steps in the best direct mapping, respectively.
{{Wikipedia|Delta scale}}
The '''Delta scale''' is the equal division of the classic diatonic semitone ([[16/15]]) into eight parts of 13.9664 cents each, corresponding to 85.9204 [[edo]]. It is [[inconsistent]] to the 5-limit and higher, as the [[direct approximation]]s of 3/2, 5/4, and 6/5 are the 50th, 28th, and 23rd steps, respectively (and 28 + 23 ≠ 50).


Lookalikes: [[86edo]], [[136ed3]], [[50edf]]
Lookalikes: [[86edo]], [[136edt]], [[50edf]]


==Intervals==
{{Infobox ET|8ed16/15}}
{| class="wikitable"
 
== Harmonics ==
{{Harmonics in equal|8|16|15}}
 
== Intervals ==
{| class="wikitable mw-collapsible"
|+ Intervals of the delta scale
|-
|-
! rowspan="2" | degree
! rowspan="2" | degree
! colspan="10" | cents value
! colspan="8" |cents value
! rowspan="2" | corresponding <br>JI intervals
! rowspan="2" | corresponding <br>JI intervals
|-
|-
! | 72ED25/14
! | [[86edo| 86EDO]]
! | [[86edo|86EDO]]
! | 8ED16/15
! | 8ED16/15
! | 222ED6
! | [[222ed6| 222ED6]]
! | [[136edt|136ED3]]
! | [[136edt| 136EDT]]
! | 75ED11/6
! | golden 85—86EDO
!Golden 85-86EDO
! | [[171ed4| 171ED4]]
![[171ed4|171ED4]]
! | [[50edf| 50EDF]]
!50EDF
! | [[85edo| 85EDO]]
![[85edo|85EDO]]
|-
|-
| colspan="11" | 0
| colspan="9" | 0
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
|-
|-
| | 1
| | 1
| | 13.942
| | 13.9535
| | 13.9535
| | 13.966
| | '''13.966'''
| | 13.973
| | 13.973
| | 13.985
| | 13.985
| | 13.9915
| 14.016
|14.016
| 14.035
|14.035
| 14.039
|14.039
| 14.118
|14.118
| | [[126/125]]
| | [[126/125]]
|-
|-
| | 2
| | 2
| | 27.883
| | 27.907
| | 27.907
| | 27.933
| | '''27.933'''
| | 27.946
| | 27.946
| | 27.970
| | 27.970
| | 27.983
| 28.0315
|28.0315
| 28.07
|28.07
| 28.078
|28.078
| 28.235
|28.235
| | [[64/63]]
| | [[64/63]]
|-
|-
| | 3
| | 3
| | 41.825
| | 41.8605
| | 41.8605
| | 41.899
| | '''41.899'''
| | 41.918
| | 41.918
| | 41.955
| | 41.955
| | 41.975
| 42.047
|42.047
| 42.105
|42.105
| 42.117
|42.117
| 42.353
|42.353
| | [[128/125]], 169/165, 165/161
| | [[128/125]], 169/165, 165/161
|-
|-
| | 4
| | 4
| | 55.767
| | 55.814
| | 55.814
| | 55.866
| | '''55.866'''
| | 55.891
| | 55.891
| | 55.940
| | 55.940
| | 55.966
| 56.063
|56.063
| 56.14
|56.14
| 56.156
|56.156
| 56.471
|56.471
| | 95/92
| | 95/92
|-
|-
| | 5
| | 5
| | 69.708
| | 69.767
| | 69.767
| | 69.832
| | '''69.832'''
| | 69.864
| | 69.864
| | 69.925
| | 69.925
| | 69.958
| 70.079
|70.079
| 70.175
|70.175
| 70.1955
|70.1955
| 70.588
|70.588
| | 51/49, [[25/24]]
| | 51/49, [[25/24]]
|-
|-
| | 6
| | 6
| | 83.650
| | 83.721
| | 83.721
| | 83.798
| | '''83.798'''
| | 83.837
| | 83.837
| | 83.910
| | 83.910
| | 83.949
| 84.094
|84.094
| 84.2105
|84.2105
| 84.235
|84.235
| 84.706
|84.706
| | 85/81, [[21/20]]
| | 85/81, [[21/20]]
|-
|-
| | 7
| | 7
| | 97.592
| | 97.674
| | 97.674
| | 97.765
| | '''97.765'''
| | 97.809
| | 97.809
| | 97.895
| | 97.895
| | 97.941
| 98.11
|98.11
| 98.246
|98.246
| 98.274
|98.274
| 98.8235
|98.8235
| | 55/52, 128/121, 91/86
| | 55/52, 128/121, 91/86
|-
|-
| | 8
| | 8
| | 111.534
| | 111.628
| | 111.628
| | 111.731
| | '''111.731'''
| | 111.782
| | 111.782
| | 111.880
| | 111.880
| | 111.932
| 112.126
|112.126
| 112.281
|112.281
| 112.313
|112.313
| 112.941
|112.941
| | [[16/15]]
| | [[16/15]]
|-
|-
| | 9
| | 9
| | 125.475
| | 125.581
| | 125.581
| | 125.698
| | '''125.698'''
| | 125.755
| | 125.755
| | 125.865
| | 125.865
| | 125.924
| 126.124
|126.124
| 126.316
|126.316
| 126.352
|126.352
| 127.059
|127.059
| | [[14/13]]
| | [[14/13]]
|-
|-
| | 10
| | 10
| | 139.417
| | 139.535
| | 139.535
| | 139.664
| | '''139.664'''
| | 139.728
| | 139.728
| | 139.850
| | 139.850
| | 139.915
| 140.157
|140.157
| 140.351
|140.351
| 140.391
|140.391
| 141.1765
|141.1765
| | [[13/12]]
| | [[13/12]]
|-
|-
| | 11
| | 11
| | 153.359
| | 153.488
| | 153.488
| | 153.631
| | '''153.631'''
| | 153.700
| | 153.700
| | 153.835
| | 153.835
| | 153.907
| 154.173
|154.173
| 154.386
|154.386
| 154.43
|154.43
| 155.294
|155.294
| | 59/54, 47/43, [[35/32]]
| | 59/54, 47/43, [[35/32]]
|-
|-
| | 12
| | 12
| | 167.3
| | 167.442
| | 167.442
| | 167.597
| | '''167.597'''
| | 167.673
| | 167.673
| | 167.820
| | 167.820
| | 167.898
| 168.189
|168.189
| 168.421
|168.421
| 168.469
|168.469
| 169.412
|169.412
| | 76/69, 65/59
| | 76/69, 65/59
|-
|-
| | 13
| | 13
| | 181.242
| | 181.395
| | 181.395
| | 181.563
| | '''181.563'''
| | 181.646
| | 181.646
| | 181.805
| | 181.805
| | 181.890
| 182.205
|182.205
| 182.456
|182.456
| 182.508
|182.508
| 183.529
|183.529
| | [[10/9]]
| | [[10/9]]
|-
|-
| | 14
| | 14
| | 195.184
| | 195.349
| | 195.349
| | 195.530
| | '''195.530'''
| | 195.619
| | 195.619
| | 195.789
| | 195.789
| | 195.881
| 196.22
|196.22
| 196.491
|196.491
| 196.547
|196.547
| 197.647
|197.647
| | [[28/25]]
| | [[28/25]]
|-
|-
| | 15
| | 15
| | 209.125
| | 209.302
| | 209.302
| | 209.496
| | '''209.496'''
| | 209.592
| | 209.592
| | 209.774
| | 209.774
| | 209.873
| 210.236
|210.236
| 210.526
|210.526
| 210.5865
|210.5865
| 211.765
|211.765
| | 44/39, 35/31
| | 44/39, 35/31
|-
|-
| | 16
| | 16
| | 223.067
| | 223.256
| | 223.256
| | 223.463
| | '''223.463'''
| | 223.564
| | 223.564
| | 223.759
| | 223.759
| | 223.864
| 224.252
|224.252
| 224.561
|224.561
| 224.626
|224.626
| 225.882
|225.882
| | 33/29
| | 33/29
|-
|-
| | 17
| | 17
| | 237.009
| | 237.209
| | 237.209
| | 237.429
| | '''237.429'''
| | 237.537
| | 237.537
| | 237.744
| | 237.744
| | 237.856
| 238.268
|238.268
| 238.5965
|238.5965
| 238.665
|238.665
| 240
|240
| | 39/34 (pseudo-[[8/7]])
| | 39/34 (pseudo-[[8/7]])
|-
|-
| | 18
| | 18
| | 250.950
| | 251.163
| | 251.163
| | 251.395
| | '''251.395'''
| | 251.51
| | 251.51
| | 251.729
| | 251.729
| | 251.847
| 252.283
|252.283
| 252.632
|252.632
| 252.704
|252.704
| 254.118
|254.118
| | 37/32, [[22/19]]
| | 37/32, [[22/19]]
|-
|-
| | 19
| | 19
| | 264.892
| | 265.116
| | 265.116
| | 265.362
| | '''265.362'''
| | 265.483
| | 265.483
| | 265.714
| | 265.714
| | 265.839
| 266.299
|266.299
| 266.667
|266.667
| 266.743
|266.743
| 268.235
|268.235
| | [[7/6]]
| | [[7/6]]
|-
|-
| | 20
| | 20
| | 278.834
| | 279.07
| | 279.07
| | 279.328
| | '''279.328'''
| | 279.455
| | 279.455
| | 279.699
| | 279.699
| | 279.830
| 280.315
|280.315
| 280.702
|280.702
| 280.78
|280.78
| 282.353
|282.353
| | 27/23, 47/40, [[20/17]]
| | 27/23, 47/40, [[20/17]]
|-
|-
| | 21
| | 21
| | 292.775
| | 293.023
| | 293.023
| | 293.295
| | '''293.295'''
| | 293.428
| | 293.428
| | 293.684
| | 293.684
| | 293.822
| 294.3305
|294.3305
| 294.737
|294.737
| 294.821
|294.821
| 296.353
|296.353
| | 45/38, 77/65, [[32/27]]
| | 45/38, 77/65, [[32/27]]
|-
|-
| | 22
| | 22
| | 306.717
| | 306.977
| | 306.977
| | 307.261
| | '''307.261'''
| | 307.401
| | 307.401
| | 307.669
| | 307.669
| | 307.813
| 308.346
|308.346
| 308.772
|308.772
| 308.86
|308.86
| 310.588
|310.588
| | 80/67, 43/36
| | 80/67, 43/36
|-
|-
| | 23
| | 23
| | 320.659
| | 320.93
| | 320.93
| | 321.227
| | '''321.227'''
| | 321.374
| | 321.374
| | 321.654
| | 321.654
| | 321.805
| 322.362
|322.362
| 322.807
|322.807
| 322.899
|322.899
| 324.706
|324.706
| | 65/54<br>(pseudo-[[6/5]])
| | 65/54<br>(pseudo-[[6/5]])
|-
|-
| | 24
| | 24
| | 334.601
| | 334.884
| | 334.884
| | 335.194
| | '''335.194'''
| | 335.346
| | 335.346
| | 335.639
| | 335.639
| | 335.796
| 336.378
|336.378
| 336.842
|336.842
| 336.938
|336.938
| 338.8235
|338.8235
| | [[17/14]]
| | [[17/14]]
|-
|-
| | 25
| | 25
| | 348.542
| | 348.837
| | 348.837
| | 349.160
| | '''349.160'''
| | 349.319
| | 349.319
| | 349.624
| | 349.624
| | 349.788
| 350.3935
|350.3935
| 350.877
|350.877
| 350.9775
|350.9775
| 352.941
|352.941
| | [[11/9]], 104/85, [[60/49]]
| | [[11/9]], 104/85, [[60/49]]
|-
|-
| | 26
| | 26
| | 362.484
| | 362.791
| | 362.791
| | 363.127
| | '''363.127'''
| | 363.292
| | 363.292
| | 363.609
| | 363.609
| | 363.779
| 364.409
|364.409
| 364.912
|364.912
| 365.017
|365.017
| 367.059
|367.059
| | 37/30
| | 37/30
|-
|-
| | 27
| | 27
| | 376.426
| | 376.744
| | 376.744
| | 377.093
| | '''377.093'''
| | 377.265
| | 377.265
| | 377.594
| | 377.594
| | 377.771
| 378.425
|378.425
| 378.947
|378.947
| 379.056
|379.056
| 381.1765
|381.1765
| | 46/37, 97/78
| | 46/37, 97/78
|-
|-
| | 28
| | 28
| | 390.367
| | 390.698
| | 390.698
| | 391.059
| | '''391.059'''
| | 391.238
| | 391.238
| | 391.579
| | 391.579
| | 391.762
| 392.441
|392.441
| 392.9825
|392.9825
| 393.095
|393.095
| 395.294
|395.294
| | 94/75, 89/71 (pseudo-[[5/4]])
| | 94/75, 89/71 (pseudo-[[5/4]])
|-
|-
| | 29
| | 29
| | 404.309
| | 404.651
| | 404.651
| | 405.026
| | '''405.026'''
| | 405.210
| | 405.210
| | 405.564
| | 405.564
| | 405.754
| 406.456
|406.456
| 407.0175
|407.0175
| 407.134
|407.134
| 409.412
|409.412
| | [[24/19]], 91/72
| | [[24/19]], 91/72
|-
|-
| | 30
| | 30
| | 418.251
| | 418.605
| | 418.605
| | 418.992
| | '''418.992'''
| | 419.183
| | 419.183
| | 419.549
| | 419.549
| | 419.745
| 420.472
|420.472
| 421.053
|421.053
| 421.173
|421.173
| 423.529
|423.529
| | [[14/11]], 65/51, [[51/40]]
| | [[14/11]], 65/51, [[51/40]]
|-
|-
| | 31
| | 31
| | 432.192
| | 432.558
| | 432.558
| | 432.959
| | '''432.959'''
| | 433.156
| | 433.156
| | 433.534
| | 433.534
| | 433.737
| 434.488
|434.488
| 435.088
|435.088
| 435.212
|435.212
| 437.647
|437.647
| | 104/81, 113/88, 122/95, [[9/7]]
| | 104/81, 113/88, 122/95, [[9/7]]
|-
|-
| | 32
| | 32
| | 446.134
| | 446.512
| | 446.512
| | 446.925
| | '''446.925'''
| | 447.129
| | 447.129
| | 447.519
| | 447.519
| | 447.728
| 445.503
|445.503
| 449.123
|449.123
| 449.251
|449.251
| 451.765
|451.765
| | [[22/17]]
| | [[22/17]]
|-
|-
| | 33
| | 33
| | 460.076
| | 460.465
| | 460.465
| | 460.892
| | '''460.892'''
| | 461.101
| | 461.101
| | 461.504
| | 461.504
| | 461.72
| 462.519
|462.519
| 463.158
|463.158
| 463.29
|463.29
| 465.882
|465.882
| | [[17/13]]
| | [[17/13]]
|-
|-
| | 34
| | 34
| | 474.017
| | 474.419
| | 474.419
| | 474.858
| | '''474.858'''
| | 475.074
| | 475.074
| | 475.489
| | 475.489
| | 475.711
| 476.535
|476.535
| 477.193
|477.193
| 477.329
|477.329
| 480
|480
| |  
| |  
|-
|-
| | 35
| | 35
| | 487.959
| | 488.372
| | 488.372
| | 488.824
| | '''488.824'''
| | 489.047
| | 489.047
| | 489.474
| | 489.474
| | 489.703
| 490.551
|490.551
| 491.228
|491.228
| 491.3685
|491.3685
| 494.118
|494.118
| |  
| |  
|-
|-
| | 36
| | 36
| | 501.901
| | 502.326
| | 502.326
| | 502.791
| | '''502.791'''
| | 503.02
| | 503.02
| | 503.459
| | 503.459
| | 503.694
| 504.567
|504.567
| 505.263
|505.263
| 505.408
|505.408
| 508.235
|508.235
| |  
| |  
|-
|-
| | 37
| | 37
| | 515.842
| | 516.279
| | 516.279
| | 516.757
| | '''516.757'''
| | 516.993
| | 516.993
| | 517.444
| | 517.444
| | 517.686
| 518.582
|518.582
| 519.298
|519.298
| 519.448
|519.448
| 522.353
|522.353
| |  
| |  
|-
|-
| | 38
| | 38
| | 529.784
| | 530.233
| | 530.233
| | 530.724
| | '''530.724'''
| | 530.965
| | 530.965
| | 531.429
| | 531.429
| | 531.677
| 532.598
|532.598
| 533.333
|533.333
| 533.486
|533.486
| 536.471
|536.471
| |  
| |  
|-
|-
| | 39
| | 39
| | 543.726
| | 544.186
| | 544.186
| | 544.69
| | '''544.69'''
| | 544.938
| | 544.938
| | 545.414
| | 545.414
| | 545.669
| 546.614
|546.614
| 547.368
|547.368
| 547.525
|547.525
| 550.558
|550.558
| |  
| |  
|-
|-
| | 40
| | 40
| | 557.668
| | 558.14
| | 558.14
| | 558.656
| | '''558.656'''
| | 558.911
| | 558.911
| | 559.399
| | 559.399
| | 559.66
| 560.63
|560.63
| 561.4035
|561.4035
| 561.564
|561.564
| 564.706
|564.706
| |  
| |  
|-
|-
| | 41
| | 41
| | 571.609
| | 572.093
| | 572.093
| | 572.623
| | '''572.623'''
| | 572.884
| | 572.884
| | 573.383
| | 573.383
| | 573.652
| 574.645
|574.645
| 575.439
|575.439
| 575.603
|575.603
| 578.8235
|578.8235
| |  
| |  
|-
|-
| | 42
| | 42
| | 585.551
| | 586.047
| | 586.047
| | 586.589
| | '''586.589'''
| | 586.856
| | 586.856
| | 587.368
| | 587.368
| | 587.643
| 588.661
|588.661
| 589.474
|589.474
| 589.642
|589.642
| 592.941
|592.941
| | [[7/5]]
| | [[7/5]]
|-
|-
| | 43
| | 43
| | 599.493
| | 600
| | 600
| | 600.556
| | '''600.556'''
| | 600.829
| | 600.829
| | 601.353
| | 601.353
| | 601.635
| 602.677
|602.677
| 603.509
|603.509
| 603.681
|603.681
| 606.059
|606.059
| | [[17/12]]
| | [[17/12]]
|-
|-
| | 44
| | 44
| | 613.434
| | 613.953
| | 613.953
| | 614.522
| | '''614.522'''
| | 614.802
| | 614.802
| | 615.338
| | 615.338
| | 615.626
| 616.6925
|616.6925
| 617.544
|617.544
| 617.72
|617.72
| 620.1765
|620.1765
| |  
| |  
|-
|-
| | 45
| | 45
| | 627.376
| | 627.907
| | 627.907
| | 628.488
| | '''628.488'''
| | 628.775
| | 628.775
| | 629.323
| | 629.323
| | 629.618
| 630.708
|630.708
| 631.578
|631.578
| 631.7595
|631.7595
| 635.294
|635.294
| |  
| |  
|-
|-
| | 46
| | 46
| | 641.318
| | 641.860
| | 641.860
| | 642.455
| | '''642.455'''
| | 642.747
| | 642.747
| | 643.308
| | 643.308
| | 643.609
| 644.724
|644.724
| 645.614
|645.614
| 645.799
|645.799
| 649.412
|649.412
| |  
| |  
|-
|-
| | 47
| | 47
| | 655.259
| | 655.814
| | 655.814
| | 656.421
| | '''656.421'''
| | 656.720
| | 656.720
| | 657.293
| | 657.293
| | 657.601
| 658.74
|658.74
| 659.649
|659.649
| 659.838
|659.838
| 663.519
|663.519
| |  
| |  
|-
|-
| | 48
| | 48
| | 669.201
| | 669.767
| | 669.767
| | 670.388
| | '''670.388'''
| | 670.693
| | 670.693
| | 671.278
| | 671.278
| | 671.592
| 672.7555
|672.7555
| 673.684
|673.684
| 673.877
|673.877
| 677.647
|677.647
| |  
| |  
|-
|-
| | 49
| | 49
| | 683.143
| | 683.721
| | 683.721
| | 684.354
| | '''684.354'''
| | 684.666
| | 684.666
| | 685.263
| | 685.263
| | 685.584
| 686.771
|686.771
| 687.719
|687.719
| 687.916
|687.916
| 691.765
|691.765
| |  
| |  
|-
|-
| | 50
| | 50
| | 697.084
| | 697.674
| | 697.674
| | 698.321
| | '''698.321'''
| | 698.639
| | 698.639
| | 699.248
| | 699.248
| | 699.575
| 700.787
|700.787
| 701.754
|701.754
| 701.955
|701.955
| 705.882
|705.882
| | [[3/2]]
| | [[3/2]]
|-
|-
| | 51
| | 51
| | 711.026
| | 711.628
| | 711.628
| | 712.287
| | '''712.287'''
| | 712.611
| | 712.611
| | 713.233
| | 713.233
| | 713.567
| 714.803
|714.803
| 715.7895
|715.7895
| 715.994
|715.994
| 720
|720
| |  
| |  
|-
|-
| | 52
| | 52
| | 724.968
| | 725.581
| | 725.581
| | 726.253
| | '''726.253'''
| | 726.584
| | 726.584
| | 727.218
| | 727.218
| | 727.558
| 728.8185
|728.8185
| 729.825
|729.825
| 730.033
|730.033
| 734.118
|734.118
| |  
| |  
|-
|-
| | 53
| | 53
| | 738.909
| | 739.535
| | 739.535
| | 740.220
| | '''740.220'''
| | 740.557
| | 740.557
| | 741.203
| | 741.203
| | 741.55
| 742.824
|742.824
| 743.86
|743.86
| 744.072
|744.072
| 748.235
|748.235
| |  
| |  
|-
|-
| | 54
| | 54
| | 752.851
| | 753.488
| | 753.488
| | 754.186
| | '''754.186'''
| | 754.530
| | 754.530
| | 755.188
| | 755.188
| | 755.541
| 756.85
|756.85
| 757.895
|757.895
| 758.111
|758.111
| 762.353
|762.353
| |  
| |  
|-
|-
| | 55
| | 55
| | 766.793
| | 767.442
| | 767.442
| | 768.153
| | '''768.153'''
| | 768.502
| | 768.502
| | 769.173
| | 769.173
| | 769.533
| 770.866
|770.866
| 771.93
|771.93
| 772.1505
|772.1505
| 776.471
|776.471
| |  
| |  
|-
|-
| | 56
| | 56
| | 780.735
| | 781.395
| | 781.395
| | 782.119
| | '''782.119'''
| | 782.475
| | 782.475
| | 783.158
| | 783.158
| | 783.524
| 784.881
|784.881
| 785.965
|785.965
| 786.19
|786.19
| 790.588
|790.588
| |  
| |  
|-
|-
| | 57
| | 57
| | 794.676
| | 795.349
| | 795.349
| | 796.085
| | '''796.085'''
| | 796.448
| | 796.448
| | 797.143
| | 797.143
| | 797.516
| 798.897
|798.897
| 800
|800
| 800.229
|800.229
| 804.706
|804.706
| |  
| |  
|-
|-
| | 58
| | 58
| | 808.618
| | 809.302
| | 809.302
| | 810.052
| | '''810.052'''
| | 810.421
| | 810.421
| | 811.128
| | 811.128
| | 811.507
| 812.913
|812.913
| 814.035
|814.035
| 814.268
|814.268
| 818.8235
|818.8235
| | [[8/5]]
| | [[8/5]]
|-
|-
| | 59
| | 59
| | 822.560
| | 823.256
| | 823.256
| | 824.018
| | '''824.018'''
| | 824.393
| | 824.393
| | 825.113
| | 825.113
| | 825.499
| 826.929
|826.929
| 828.07
|828.07
| 828.307
|828.307
| 832.941
|832.941
| |  
| |  
|-
|-
| | 60
| | 60
| | 836.501
| | 837.209
| | 837.209
| | 837.985
| | '''837.985'''
| | 838.366
| | 838.366
| | 839.098
| | 839.098
| | 839.490
| 840.944
|840.944
| 842.105
|842.105
| 842.346
|842.346
| 847.059
|847.059
| | [[13/8]]
| | [[13/8]]
|-
|-
| | 61
| | 61
| | 850.443
| | 851.163
| | 851.163
| | 851.951
| | '''851.951'''
| | 852.339
| | 852.339
| | 853.083
| | 853.083
| | 853.482
| 854.96
|854.96
| 856.14
|856.14
| 856.385
|856.385
| 861.1765
|861.1765
| |  
| |  
|-
|-
| | 62
| | 62
| | 864.385
| | 865.116
| | 865.116
| | 865.917
| | '''865.917'''
| | 866.312
| | 866.312
| | 867.068
| | 867.068
| | 867.473
| 868.976
|868.976
| 870.175
|870.175
| 870.424
|870.424
| 875.294
|875.294
| |  
| |  
|-
|-
| | 63
| | 63
| | 878.326
| | 879.070
| | 879.070
| | 879.884
| | '''879.884'''
| | 880.285
| | 880.285
| | 881.053
| | 881.053
| | 881.465
| 882.9915
|882.9915
| 884.2105
|884.2105
| 884.463
|884.463
| 889.412
|889.412
| | [[5/3]]
| | [[5/3]]
|-
|-
| | 64
| | 64
| | 892.268
| | 893.023
| | 893.023
| | 893.850
| | '''893.850'''
| | 894.257
| | 894.257
| | 895.038
| | 895.038
| | 895.456
| 897.007
|897.007
| 898.246
|898.246
| 898.502
|898.502
| 903.529
|903.529
| |  
| |  
|-
|-
| | 65
| | 65
| | 906.210
| | 906.977
| | 906.977
| | 907.817
| | '''907.817'''
| | 908.230
| | 908.230
| | 909.023
| | 909.023
| | 909.448
| 911.023
|911.023
| 912.281
|912.281
| 912.5415
|912.5415
| 917.647
|917.647
| |  
| |  
|-
|-
| | 66
| | 66
| | 920.151
| | 920.930
| | 920.930
| | 921.783
| | '''921.783'''
| | 922.203
| | 922.203
| | 923.008
| | 923.008
| | 923.439
| 925.039
|925.039
| 926.316
|926.316
| 926.581
|926.581
| 931.1765
|931.1765
| |  
| |  
|-
|-
| | 67
| | 67
| | 934.093
| | 934.884
| | 934.884
| | 935.750
| | '''935.750'''
| | 936.176
| | 936.176
| | 936.993
| | 936.993
| | 937.431
| 939.0555
|939.0555
| 940.351
|940.351
| 940.692
|940.692
| 945.882
|945.882
| |  
| |  
|-
|-
| | 68
| | 68
| | 948.035
| | 948.837
| | 948.837
| | 949.716
| | '''949.716'''
| | 950.148
| | 950.148
| | 950.978
| | 950.978
| | 951.422
| 953.07
|953.07
| 954.386
|954.386
| 954.659
|954.659
| 960
|960
| |  
| |  
|-
|-
| | 69
| | 69
| | 961.976
| | 962.791
| | 962.791
| | 963.682
| | '''963.682'''
| | 964.121
| | 964.121
| | 964.962
| | 964.962
| | 965.414
| 967.086
|967.086
| 968.421
|968.421
| 968.698
|968.698
| 974.118
|974.118
| | [[7/4]]
| | [[7/4]]
|-
|-
| | 70
| | 70
| | 975.918
| | 976.744
| | 976.744
| | 977.649
| | '''977.649'''
| | 978.094
| | 978.094
| | 978.947
| | 978.947
| | 979.405
| 981.102
|981.102
| 982.456
|982.456
| 982.737
|982.737
| 988.235
|988.235
| |  
| |  
|-
|-
| | 71
| | 71
| | 989.860
| | 990.698
| | 990.698
| | 991.615
| | '''991.615'''
| | 992.067
| | 992.067
| | 992.932
| | 992.932
| | 993.397
| 995.1175
|995.1175
| 996.491
|996.491
| 996.776
|996.776
| 1002.353
|1002.353
| | [[16/9]]
| | [[16/9]]
|-
|-
| | 72
| | 72
| | 1003.802
| | 1004.651
| | 1004.651
| | 1005.582
| | '''1005.582'''
| | 1006.039
| | 1006.039
| | 1006.917
| | 1006.917
| | 1007.388
| 1009.133
|1009.133
| 1010.526
|1010.526
| 1010.815
|1010.815
| 1016.471
|1016.471
| | [[25/14]]
| | [[25/14]]
|-
|-
| | 73
| | 73
| | 1017.743
| | 1018.605
| | 1018.605
| | 1019.548
| | '''1019.548'''
| | 1020.012
| | 1020.012
| | 1020.902
| | 1020.902
| | 1021.38
| 1023.149
|1023.149
| 1024.561
|1024.561
| 1024.854
|1024.854
| 1030.588
|1030.588
| | [[9/5]]
| | [[9/5]]
|-
|-
| | 74
| | 74
| | 1031.685
| | 1032.558
| | 1032.558
| | 1033.514
| | '''1033.514'''
| | 1033.985
| | 1033.985
| | 1034.887
| | 1034.887
| | 1035.371
| 1037.165
|1037.165
| 1038.5965
|1038.5965
| 1038.893
|1038.893
| 1044.706
|1044.706
| |  
| |  
|-
|-
| | 75
| | 75
| | 1045.627
| | 1046.512
| | 1046.512
| | 1047.481
| | '''1047.481'''
| | 1047.958
| | 1047.958
| | 1048.872
| | 1048.872
| | 1049.363
| 1051.18
|1051.18
| 1052.632
|1052.632
| 1052.9325
|1052.9325
| 1058.8235
|1058.8235
| | [[11/6]]
| | [[11/6]]
|-
|-
| | 76
| | 76
| | 1059.568
| | 1060.465
| | 1060.465
| | 1061.447
| | '''1061.447'''
| | 1061.931
| | 1061.931
| | 1062.857
| | 1062.857
| | 1063.354
| 1065.196
|1065.196
| 1066.667
|1066.667
| 1066.972
|1066.972
| 1072.941
|1072.941
| |  
| |  
|-
|-
| | 77
| | 77
| | 1073.51
| | 1074.419
| | 1074.419
| | 1075.414
| | '''1075.414'''
| | 1075.903
| | 1075.903
| | 1076.842
| | 1076.842
| | 1077.346
| 1079.212
|1079.212
| 1080.702
|1080.702
| 1081.011
|1081.011
| 1087.059
|1087.059
| | [[28/15]]
| | [[28/15]]
|-
|-
| | 78
| | 78
| | 1087.452
| | 1088.372
| | 1088.372
| | 1089.380
| | '''1089.380'''
| | 1089.876
| | 1089.876
| | 1090.827
| | 1090.827
| | 1091.337
| 1093.228
|1093.228
| 1094.737
|1094.737
| 1095.05
|1095.05
| 1101.1765
|1101.1765
| | [[15/8]]
| | [[15/8]]
|-
|-
| | 79
| | 79
| | 1101.393
| | 1102.326
| | 1102.326
| | 1103.346
| | '''1103.346'''
| | 1103.849
| | 1103.849
| | 1104.812
| | 1104.812
| | 1105.329
| 1107.243
|1107.243
| 1108.772
|1108.772
| 1109.089
|1109.089
| 1115.294
|1115.294
| |  
| |  
|-
|-
| | 80
| | 80
| | 1115.335
| | 1116.279
| | 1116.279
| | 1117.313
| | '''1117.313'''
| | 1117.822
| | 1117.822
| | 1118.797
| | 1118.797
| | 1119.320
| 1121.259
|1121.259
| 1122.807
|1122.807
| 1123.128
|1123.128
| 1129.412
|1129.412
| |  
| |  
|-
|-
| | 81
| | 81
| | 1129.277
| | 1130.233
| | 1130.233
| | 1131.279
| | '''1131.279'''
| | 1131.794
| | 1131.794
| | 1132.782
| | 1132.782
| | 1133.312
| 1135.275
|1135.275
| 1136.842
|1136.842
| 1137.167
|1137.167
| 1143.529
|1143.529
| |  
| |  
|-
|-
| | 82
| | 82
| | 1143.218
| | 1144.186
| | 1144.186
| | 1145.246
| | '''1145.246'''
| | 1145.767
| | 1145.767
| | 1146.767
| | 1146.767
| | 1147.303
| 1149.291
|1149.291
| 1150.877
|1150.877
| 1151.206
|1151.206
| 1157.647
|1157.647
| |  
| |  
|-
|-
| | 83
| | 83
| | 1157.16
| | 1158.14
| | 1158.14
| | 1159.212
| | '''1159.212'''
| | 1159.74
| | 1159.74
| | 1160.752
| | 1160.752
| | 1161.295
| 1163.306
|1163.306
| 1164.912
|1164.912
| 1165.245
|1165.245
| 1171.765
|1171.765
| |  
| |  
|-
|-
| | 84
| | 84
| | 1171.102
| | 1172.093
| | 1172.093
| | 1173.178
| | '''1173.178'''
| | 1173.713
| | 1173.713
| | 1174.737
| | 1174.737
| | 1175.286
| 1177.322
|1177.322
| 1178.947
|1178.947
| 1179.284
|1179.284
| 1185.882
|1185.882
| |  
| |  
|-
|-
| | 85
| | 85
| | 1185.043
| | 1186.047
| | 1186.047
| | 1187.145
| | '''1187.145'''
| | 1187.685
| | 1187.685
| | 1188.722
| | 1188.722
| | 1189.278
| 1191.338
|1191.338
| 1192.9825
|1192.9825
| 1193.3235
|1193.3235
| 1200
|1200
| |  
| |  
|-
|-
| | 86
| | 86
| | 1198.985
| | 1200
| | 1200
| | 1201.111
| | '''1201.111'''
| | 1201.658
| | 1201.658
| | 1202.707
| | 1202.707
| | 1203.270
| 1205.3535
|1205.3535
| 1207.0175
|1207.0175
| 1207.363
|1207.363
| 1214.118
|1214.118
| | [[Octave| 2/1]]
| | [[Octave|2/1]]
|-
|-
|87
| 87
|1212.927
| 1213.9535
|1213.9535
| '''1215.078'''
|1215.078
| 1215.631
|1215.631
| 1216.692
|1216.692
| 1219.369
|1217.261
| 1221.053
|1219.369
| 1221.402
|1221.053
| 1228.235
|1221.402
|  
|1228.235
|
|-
|-
|88
| 88
|1126.8685
| 1227.907
|1227.907
| '''1229.044'''
|1229.044
| 1229.604
|1229.604
| 1230.677
|1230.677
| 1233.385
|1231.2525
| 1235.088
|1233.385
| 1235.441
|1235.088
| 1242.353
|1235.441
|  
|1242.353
|
|-
|-
|89
| 89
|1240.81
| 1241.8605
|1241.8605
| '''1243.0105'''
|1243.0105
| 1243.577
|1243.577
| 1244.662
|1244.662
| 1247.401
|1245.244
| 1249.123
|1247.401
| 1249.48
|1249.123
| 1256.471
|1249.48
|  
|1256.471
|
|-
|-
|90
| 90
|1254.752
| 1255.814
|1255.814
| '''1256.698'''
|1256.698
| 1257.549
|1257.549
| 1258.647
|1258.647
| 1261.4165
|1259.2355
| 1263.158
|1261.4165
| 1263.519
|1263.158
| 1270.588
|1263.519
|  
|1270.588
|
|-
|-
|91
| 91
|1268.694
| 1269.767
|1269.767
| '''1270.943'''
|1270.943
| 1271.522
|1271.522
| 1272.632
|1272.632
| 1275.432
|1273.227
| 1277.193
|1275.432
| 1277.558
|1277.193
| 1284.706
|1277.558
|  
|1284.706
|
|-
|-
|92
| 92
|1282.635
| 1283.721
|1283.721
| '''1284.91'''
|1284.91
| 1285.495
|1285.495
| 1286.617
|1286.617
| 1289.448
|1287.2185
| 1291.228
|1289.448
| 1291.597
|1291.228
| 1298.8235
|1291.597
|  
|1298.8235
|
|-
|-
|93
| 93
|1296.577
| 1297.674
|1297.674
| '''1298.876'''
|1298.876
| 1299.468
|1299.468
| 1300.602
|1300.602
| 1303.464
|1301.21
| 1305.263
|1303.464
| 1305.636
|1305.263
| 1312.941
|1305.636
|  
|1312.941
|
|-
|-
|94
| 94
|1310.519
| 1311.628
|1311.628
| '''1312.426'''
|1312.426
| 1314.404
|1314.404
| 1314.5865
|1314.5865
| 1317.479
|1315.202
| 1319.298
|1317.479
| 1319.675
|1319.298
| 1327.059
|1319.675
|  
|1327.059
|
|-
|-
|95
| 95
|1324.46
| 1325.581
|1325.581
| '''1326.809'''
|1326.809
| 1327.413
|1327.413
| 1328.5715
|1328.5715
| 1331.495
|1329.193
| 1333.333
|1331.495
| 1333.7145
|1333.333
| 1341.1765
|1333.7145
|  
|1341.1765
|
|-
|-
|96
| 96
|1338.402
| 1339.535
|1339.535
| '''1340.775'''
|1340.775
| 1341.386
|1341.386
| 1342.5565
|1342.5565
| 1345.511
|1343.185
| 1347.368
|1345.511
| 1347.754
|1347.368
| 1355.294
|1347.754
|  
|1355.294
|
|-
|-
|97
| 97
|1352.344
| 1353.488
|1353.488
| '''1354.742'''
|1354.742
| 1355.358
|1355.358
| 1356.414
|1356.414
| 1359.527
|1357.176
| 1361.4035
|1359.527
| 1361.793
|1361.4035
| 1369.412
|1361.793
|  
|1369.412
|
|-
|-
|98
| 98
|1366.285
| 1367.442
|1367.442
| '''1368.708'''
|1368.708
| 1369.3315
|1369.3315
| 1370.526
|1370.526
| 1373.542
|1371.168
| 1375.439
|1373.542
| 1375.832
|1375.439
| 1383.529
|1375.832
|  
|1383.529
|
|-
|-
|99
| 99
|1380.227
| 1381.395
|1381.395
| '''1382.675'''
|1382.675
| 1383.304
|1383.304
| 1384.511
|1384.511
| 1387.558
|1385.159
| 1389.474
|1387.558
| 1389.871
|1389.474
| 1397.647
|1389.871
| 20/9
|1397.647
|20/9
|-
|-
|100
| 100
|1394.169
| 1395.349
|1395.349
| '''1396.641'''
|1396.641
| 1397.277
|1397.277
| 1398.496
|1398.496
| 1401.574
|1399.151
| 1403.509
|1401.574
| 1403.91
|1403.509
| 1411.765
|1403.91
| 9/4
|1411.765
|9/4
|}
|}


==See also==
 
* [https://en.m.wikipedia.org/wiki/Delta_scale Delta scale (Wikipedia)]
{{todo|inline=1|rework|comment=simplify or split table somehow so it works better on phone displays and vertical monitors; expand the introduction to talk about who developed the scale and why, what they were trying to achieve; add multimedia, either links to music written with the scale, or diagrams of the scale’s properties, or both}}


[[Category:Equal-step tuning]]
[[Category:Equal-step tuning]]
[[Category:Temperament]]
[[Category:Nonoctave]]
[[Category:Nonoctave]]