8ed16/15: Difference between revisions

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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).
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]]
 
{{Infobox ET|8ed16/15}}
 
== Harmonics ==
{{Harmonics in equal|8|16|15}}


== Intervals ==
== Intervals ==
{| class="wikitable"
{| 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| 72ED25/14]]
! | [[86edo| 86EDO]]
! | [[86edo| 86EDO]]
! | 8ED16/15
! | 8ED16/15
! | [[222ed6| 222ED6]]
! | [[222ed6| 222ED6]]
! | [[136edt| 136ED3]]
! | [[136edt| 136EDT]]
! | [[75ed11/6| 75ED11/6]]
! | golden 85—86EDO
! Golden 85-86EDO
! | [[171ed4| 171ED4]]
! [[171ed4| 171ED4]]
! | [[50edf| 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
Line 39: Line 41:
|-
|-
| | 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
Line 52: Line 52:
|-
|-
| | 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
Line 65: Line 63:
|-
|-
| | 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
Line 78: Line 74:
|-
|-
| | 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
Line 91: Line 85:
|-
|-
| | 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
Line 104: Line 96:
|-
|-
| | 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
Line 117: Line 107:
|-
|-
| | 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
Line 130: Line 118:
|-
|-
| | 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
Line 143: Line 129:
|-
|-
| | 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
Line 156: Line 140:
|-
|-
| | 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
Line 169: Line 151:
|-
|-
| | 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
Line 182: Line 162:
|-
|-
| | 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
Line 195: Line 173:
|-
|-
| | 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
Line 208: Line 184:
|-
|-
| | 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
Line 221: Line 195:
|-
|-
| | 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
Line 234: Line 206:
|-
|-
| | 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
Line 247: Line 217:
|-
|-
| | 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
Line 260: Line 228:
|-
|-
| | 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
Line 273: Line 239:
|-
|-
| | 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
Line 286: Line 250:
|-
|-
| | 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
Line 299: Line 261:
|-
|-
| | 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
Line 312: Line 272:
|-
|-
| | 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
Line 325: Line 283:
|-
|-
| | 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
Line 338: Line 294:
|-
|-
| | 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
Line 351: Line 305:
|-
|-
| | 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
Line 364: Line 316:
|-
|-
| | 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
Line 377: Line 327:
|-
|-
| | 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
Line 390: Line 338:
|-
|-
| | 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
Line 403: Line 349:
|-
|-
| | 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
Line 416: Line 360:
|-
|-
| | 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
Line 429: Line 371:
|-
|-
| | 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
Line 442: Line 382:
|-
|-
| | 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
Line 455: Line 393:
|-
|-
| | 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
Line 468: Line 404:
|-
|-
| | 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
Line 481: Line 415:
|-
|-
| | 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
Line 494: Line 426:
|-
|-
| | 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
Line 507: Line 437:
|-
|-
| | 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
Line 520: Line 448:
|-
|-
| | 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
Line 533: Line 459:
|-
|-
| | 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
Line 546: Line 470:
|-
|-
| | 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
Line 559: Line 481:
|-
|-
| | 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
Line 572: Line 492:
|-
|-
| | 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
Line 585: Line 503:
|-
|-
| | 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
Line 598: Line 514:
|-
|-
| | 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
Line 611: Line 525:
|-
|-
| | 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
Line 624: Line 536:
|-
|-
| | 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
Line 637: Line 547:
|-
|-
| | 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
Line 650: Line 558:
|-
|-
| | 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
Line 663: Line 569:
|-
|-
| | 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
Line 676: Line 580:
|-
|-
| | 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
Line 689: Line 591:
|-
|-
| | 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
Line 702: Line 602:
|-
|-
| | 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
Line 715: Line 613:
|-
|-
| | 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
Line 728: Line 624:
|-
|-
| | 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
Line 741: Line 635:
|-
|-
| | 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
Line 754: Line 646:
|-
|-
| | 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
Line 767: Line 657:
|-
|-
| | 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
Line 780: Line 668:
|-
|-
| | 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
Line 793: Line 679:
|-
|-
| | 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
Line 806: Line 690:
|-
|-
| | 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
Line 819: Line 701:
|-
|-
| | 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
Line 832: Line 712:
|-
|-
| | 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
Line 845: Line 723:
|-
|-
| | 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
Line 858: Line 734:
|-
|-
| | 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
Line 871: Line 745:
|-
|-
| | 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
Line 884: Line 756:
|-
|-
| | 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
Line 897: Line 767:
|-
|-
| | 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
Line 910: Line 778:
|-
|-
| | 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
Line 923: Line 789:
|-
|-
| | 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
Line 936: Line 800:
|-
|-
| | 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
Line 949: Line 811:
|-
|-
| | 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
Line 962: Line 822:
|-
|-
| | 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
Line 975: Line 833:
|-
|-
| | 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
Line 988: Line 844:
|-
|-
| | 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
Line 1,001: Line 855:
|-
|-
| | 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
Line 1,014: Line 866:
|-
|-
| | 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
Line 1,027: Line 877:
|-
|-
| | 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
Line 1,040: Line 888:
|-
|-
| | 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
Line 1,053: Line 899:
|-
|-
| | 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
Line 1,066: Line 910:
|-
|-
| | 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
Line 1,079: Line 921:
|-
|-
| | 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
Line 1,092: Line 932:
|-
|-
| | 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
Line 1,105: Line 943:
|-
|-
| | 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
Line 1,118: Line 954:
|-
|-
| | 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
Line 1,131: Line 965:
|-
|-
| | 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
Line 1,144: Line 976:
|-
|-
| 87
| 87
| 1212.927
| 1213.9535
| 1213.9535
| '''1215.078'''
| '''1215.078'''
| 1215.631
| 1215.631
| 1216.692
| 1216.692
| 1217.261
| 1219.369
| 1219.369
| 1221.053
| 1221.053
Line 1,157: Line 987:
|-
|-
| 88
| 88
| 1126.8685
| 1227.907
| 1227.907
| '''1229.044'''
| '''1229.044'''
| 1229.604
| 1229.604
| 1230.677
| 1230.677
| 1231.2525
| 1233.385
| 1233.385
| 1235.088
| 1235.088
Line 1,170: Line 998:
|-
|-
| 89
| 89
| 1240.81
| 1241.8605
| 1241.8605
| '''1243.0105'''
| '''1243.0105'''
| 1243.577
| 1243.577
| 1244.662
| 1244.662
| 1245.244
| 1247.401
| 1247.401
| 1249.123
| 1249.123
Line 1,183: Line 1,009:
|-
|-
| 90
| 90
| 1254.752
| 1255.814
| 1255.814
| '''1256.698'''
| '''1256.698'''
| 1257.549
| 1257.549
| 1258.647
| 1258.647
| 1259.2355
| 1261.4165
| 1261.4165
| 1263.158
| 1263.158
Line 1,196: Line 1,020:
|-
|-
| 91
| 91
| 1268.694
| 1269.767
| 1269.767
| '''1270.943'''
| '''1270.943'''
| 1271.522
| 1271.522
| 1272.632
| 1272.632
| 1273.227
| 1275.432
| 1275.432
| 1277.193
| 1277.193
Line 1,209: Line 1,031:
|-
|-
| 92
| 92
| 1282.635
| 1283.721
| 1283.721
| '''1284.91'''
| '''1284.91'''
| 1285.495
| 1285.495
| 1286.617
| 1286.617
| 1287.2185
| 1289.448
| 1289.448
| 1291.228
| 1291.228
Line 1,222: Line 1,042:
|-
|-
| 93
| 93
| 1296.577
| 1297.674
| 1297.674
| '''1298.876'''
| '''1298.876'''
| 1299.468
| 1299.468
| 1300.602
| 1300.602
| 1301.21
| 1303.464
| 1303.464
| 1305.263
| 1305.263
Line 1,235: Line 1,053:
|-
|-
| 94
| 94
| 1310.519
| 1311.628
| 1311.628
| '''1312.426'''
| '''1312.426'''
| 1314.404
| 1314.404
| 1314.5865
| 1314.5865
| 1315.202
| 1317.479
| 1317.479
| 1319.298
| 1319.298
Line 1,248: Line 1,064:
|-
|-
| 95
| 95
| 1324.46
| 1325.581
| 1325.581
| '''1326.809'''
| '''1326.809'''
| 1327.413
| 1327.413
| 1328.5715
| 1328.5715
| 1329.193
| 1331.495
| 1331.495
| 1333.333
| 1333.333
Line 1,261: Line 1,075:
|-
|-
| 96
| 96
| 1338.402
| 1339.535
| 1339.535
| '''1340.775'''
| '''1340.775'''
| 1341.386
| 1341.386
| 1342.5565
| 1342.5565
| 1343.185
| 1345.511
| 1345.511
| 1347.368
| 1347.368
Line 1,274: Line 1,086:
|-
|-
| 97
| 97
| 1352.344
| 1353.488
| 1353.488
| '''1354.742'''
| '''1354.742'''
| 1355.358
| 1355.358
| 1356.414
| 1356.414
| 1357.176
| 1359.527
| 1359.527
| 1361.4035
| 1361.4035
Line 1,287: Line 1,097:
|-
|-
| 98
| 98
| 1366.285
| 1367.442
| 1367.442
| '''1368.708'''
| '''1368.708'''
| 1369.3315
| 1369.3315
| 1370.526
| 1370.526
| 1371.168
| 1373.542
| 1373.542
| 1375.439
| 1375.439
Line 1,300: Line 1,108:
|-
|-
| 99
| 99
| 1380.227
| 1381.395
| 1381.395
| '''1382.675'''
| '''1382.675'''
| 1383.304
| 1383.304
| 1384.511
| 1384.511
| 1385.159
| 1387.558
| 1387.558
| 1389.474
| 1389.474
Line 1,313: Line 1,119:
|-
|-
| 100
| 100
| 1394.169
| 1395.349
| 1395.349
| '''1396.641'''
| '''1396.641'''
| 1397.277
| 1397.277
| 1398.496
| 1398.496
| 1399.151
| 1401.574
| 1401.574
| 1403.509
| 1403.509
Line 1,325: Line 1,129:
| 9/4
| 9/4
|}
|}
{{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:Nonoctave]]
[[Category:Nonoctave]]