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8ed16/15: Difference between revisions

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Line 1: Line 1:
'''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]].
'''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.


Lookalikes: [[86edo]], [[136ed3]], [[50edf]]
Lookalikes: [[86edo]], [[136ed3]], [[50edf]]
Line 15: Line 15:
! | 222ED6
! | 222ED6
! | [[136edt|136ED3]]
! | [[136edt|136ED3]]
! | [[50edf|50ED3/2]]
! | 75ED11/6
|-
|-
| | 0
| | 0
Line 32: Line 32:
| | 13.973
| | 13.973
| | 13.985
| | 13.985
| | 14.039
| | 13.992
| |  
| |  
|-
|-
Line 41: Line 41:
| | 27.946
| | 27.946
| | 27.970
| | 27.970
| | 28.078
| | 27.983
| |  
| |  
|-
|-
Line 50: Line 50:
| | 41.918
| | 41.918
| | 41.955
| | 41.955
| | 42.117
| | 41.975
| |  
| |  
|-
|-
Line 59: Line 59:
| | 55.891
| | 55.891
| | 55.940
| | 55.940
| | 56.156
| | 55.966
| |  
| |  
|-
|-
Line 68: Line 68:
| | 69.864
| | 69.864
| | 69.925
| | 69.925
| | 70.196
| | 69.958
| |  
| |  
|-
|-
Line 77: Line 77:
| | 83.837
| | 83.837
| | 83.910
| | 83.910
| | 84.235
| | 83.949
| |  
| |  
|-
|-
Line 86: Line 86:
| | 97.809
| | 97.809
| | 97.895
| | 97.895
| | 98.274
| | 97.941
| |  
| |  
|-
|-
Line 95: Line 95:
| | 111.782
| | 111.782
| | 111.880
| | 111.880
| | 112.313
| | 111.932
| | [[16/15]]
| | [[16/15]]
|-
|-
Line 104: Line 104:
| | 125.755
| | 125.755
| | 125.865
| | 125.865
| | 126.352
| | 125.924
| |  
| |  
|-
|-
Line 113: Line 113:
| | 139.728
| | 139.728
| | 139.850
| | 139.850
| | 140.391
| | 139.915
| |  
| |  
|-
|-
Line 122: Line 122:
| | 153.700
| | 153.700
| | 153.835
| | 153.835
| | 154.430
| | 153.907
| |  
| |  
|-
|-
Line 131: Line 131:
| | 167.673
| | 167.673
| | 167.820
| | 167.820
| | 168.469
| | 167.898
| |  
| |  
|-
|-
Line 140: Line 140:
| | 181.646
| | 181.646
| | 181.805
| | 181.805
| | 182.508
| | 181.890
| | [[10/9]]
| | [[10/9]]
|-
|-
Line 149: Line 149:
| | 195.619
| | 195.619
| | 195.789
| | 195.789
| | 196.547
| | 195.881
| |  
| |  
|-
|-
Line 158: Line 158:
| | 209.592
| | 209.592
| | 209.774
| | 209.774
| | 210.587
| | 209.873
| |  
| |  
|-
|-
Line 167: Line 167:
| | 223.564
| | 223.564
| | 223.759
| | 223.759
| | 224.626
| | 223.864
| | 33/29
| |  
|-
|-
| | 17
| | 17
Line 176: Line 176:
| | 237.537
| | 237.537
| | 237.744
| | 237.744
| | 238.665
| | 237.856
| |  
| |  
|-
|-
Line 185: Line 185:
| | 251.510
| | 251.510
| | 251.729
| | 251.729
| | 252.704
| | 251.847
| | [[22/19]]
| | [[22/19]]
|-
|-
Line 194: Line 194:
| | 265.483
| | 265.483
| | 265.714
| | 265.714
| | 266.743
| | 265.839
| | [[7/6]]
| | [[7/6]]
|-
|-
Line 203: Line 203:
| | 279.455
| | 279.455
| | 279.699
| | 279.699
| | 280.782
| | 279.830
| |  
| |  
|-
|-
Line 212: Line 212:
| | 293.428
| | 293.428
| | 293.684
| | 293.684
| | 294.821
| | 293.822
| |  
| |  
|-
|-
Line 221: Line 221:
| | 307.401
| | 307.401
| | 307.669
| | 307.669
| | 308.860
| | 307.813
| |  
| |  
|-
|-
Line 230: Line 230:
| | 321.374
| | 321.374
| | 321.654
| | 321.654
| | 322.899
| | 321.805
| | [[6/5]]
| | [[6/5]]
|-
|-
Line 239: Line 239:
| | 335.346
| | 335.346
| | 335.639
| | 335.639
| | 336.938
| | 335.796
| |  
| |  
|-
|-
Line 248: Line 248:
| | 349.319
| | 349.319
| | 349.624
| | 349.624
| | 350.978
| | 349.788
| | [[11/9]]
| | [[11/9]]
|-
|-
Line 257: Line 257:
| | 363.292
| | 363.292
| | 363.609
| | 363.609
| | 365.017
| | 363.779
| |  
| |  
|-
|-
Line 266: Line 266:
| | 377.265
| | 377.265
| | 377.594
| | 377.594
| | 379.056
| | 377.771
| |  
| |  
|-
|-
Line 275: Line 275:
| | 391.238
| | 391.238
| | 391.579
| | 391.579
| | 393.095
| | 391.762
| | [[5/4]]
| | [[5/4]]
|-
|-
Line 284: Line 284:
| | 405.210
| | 405.210
| | 405.564
| | 405.564
| | 407.134
| | 405.754
| |  
| |  
|-
|-
Line 293: Line 293:
| | 419.183
| | 419.183
| | 419.549
| | 419.549
| | 421.173
| | 419.745
| |  
| |  
|-
|-
Line 302: Line 302:
| | 433.156
| | 433.156
| | 433.534
| | 433.534
| | 435.212
| | 433.737
| | [[9/7]]
| | [[9/7]]
|-
|-
Line 311: Line 311:
| | 447.129
| | 447.129
| | 447.519
| | 447.519
| | 449.251
| | 447.728
| |  
| |  
|-
|-
Line 320: Line 320:
| | 461.101
| | 461.101
| | 461.504
| | 461.504
| | 463.290
| | 461.720
| | [[17/13]]
| | [[17/13]]
|-
|-
Line 329: Line 329:
| | 475.074
| | 475.074
| | 475.489
| | 475.489
| | 477.329
| | 475.711
| |  
| |  
|-
|-
Line 338: Line 338:
| | 489.047
| | 489.047
| | 489.474
| | 489.474
| | 491.369
| | 489.703
| |  
| |  
|-
|-
Line 347: Line 347:
| | 503.020
| | 503.020
| | 503.459
| | 503.459
| | 505.408
| | 503.694
| |  
| |  
|-
|-
Line 356: Line 356:
| | 516.993
| | 516.993
| | 517.444
| | 517.444
| | 519.447
| | 517.686
| |  
| |  
|-
|-
Line 365: Line 365:
| | 530.965
| | 530.965
| | 531.429
| | 531.429
| | 533.486
| | 531.677
| |  
| |  
|-
|-
Line 374: Line 374:
| | 544.938
| | 544.938
| | 545.414
| | 545.414
| | 547.525
| | 545.669
| |  
| |  
|-
|-
Line 383: Line 383:
| | 558.911
| | 558.911
| | 559.399
| | 559.399
| | 561.564
| | 559.660
| |  
| |  
|-
|-
Line 392: Line 392:
| | 572.884
| | 572.884
| | 573.383
| | 573.383
| | 575.603
| | 573.652
| |  
| |  
|-
|-
Line 401: Line 401:
| | 586.856
| | 586.856
| | 587.368
| | 587.368
| | 589.642
| | 587.643
| | [[7/5]]
| | [[7/5]]
|-
|-
Line 410: Line 410:
| | 600.829
| | 600.829
| | 601.353
| | 601.353
| | 603.681
| | 601.635
| | [[17/12]]
| | [[17/12]]
|-
|-
Line 419: Line 419:
| | 614.802
| | 614.802
| | 615.338
| | 615.338
| | 617.720
| | 615.626
| |  
| |  
|-
|-
Line 428: Line 428:
| | 628.775
| | 628.775
| | 629.323
| | 629.323
| | 631.760
| | 629.618
| |  
| |  
|-
|-
Line 437: Line 437:
| | 642.747
| | 642.747
| | 643.308
| | 643.308
| | 645.799
| | 643.609
| |  
| |  
|-
|-
Line 446: Line 446:
| | 656.720
| | 656.720
| | 657.293
| | 657.293
| | 659.838
| | 657.601
| |  
| |  
|-
|-
Line 455: Line 455:
| | 670.693
| | 670.693
| | 671.278
| | 671.278
| | 673.877
| | 671.592
| |  
| |  
|-
|-
Line 464: Line 464:
| | 684.666
| | 684.666
| | 685.263
| | 685.263
| | 687.916
| | 685.584
| |  
| |  
|-
|-
Line 473: Line 473:
| | 698.639
| | 698.639
| | 699.248
| | 699.248
| | 701.955
| | 699.575
| | [[3/2]]
| | [[3/2]]
|-
|-
Line 482: Line 482:
| | 712.611
| | 712.611
| | 713.233
| | 713.233
| | 715.994
| | 713.567
| |  
| |  
|-
|-
Line 491: Line 491:
| | 726.584
| | 726.584
| | 727.218
| | 727.218
| | 730.033
| | 727.558
| |  
| |  
|-
|-
Line 500: Line 500:
| | 740.557
| | 740.557
| | 741.203
| | 741.203
| | 744.072
| | 741.550
| |  
| |  
|-
|-
Line 509: Line 509:
| | 754.530
| | 754.530
| | 755.188
| | 755.188
| | 758.111
| | 755.541
| |  
| |  
|-
|-
Line 518: Line 518:
| | 768.502
| | 768.502
| | 769.173
| | 769.173
| | 772.151
| | 769.533
| |  
| |  
|-
|-
Line 527: Line 527:
| | 782.475
| | 782.475
| | 783.158
| | 783.158
| | 786.190
| | 783.524
| |  
| |  
|-
|-
Line 536: Line 536:
| | 796.448
| | 796.448
| | 797.143
| | 797.143
| | 800.229
| | 797.516
| |  
| |  
|-
|-
Line 545: Line 545:
| | 810.421
| | 810.421
| | 811.128
| | 811.128
| | 814.268
| | 811.507
| | [[8/5]]
| | [[8/5]]
|-
|-
Line 554: Line 554:
| | 824.393
| | 824.393
| | 825.113
| | 825.113
| | 828.307
| | 825.499
| |  
| |  
|-
|-
Line 563: Line 563:
| | 838.366
| | 838.366
| | 839.098
| | 839.098
| | 842.346
| | 839.490
| | [[13/8]]
| | [[13/8]]
|-
|-
Line 572: Line 572:
| | 852.339
| | 852.339
| | 853.083
| | 853.083
| | 856.385
| | 853.482
| |  
| |  
|-
|-
Line 581: Line 581:
| | 866.312
| | 866.312
| | 867.068
| | 867.068
| | 870.424
| | 867.473
| |  
| |  
|-
|-
Line 590: Line 590:
| | 880.285
| | 880.285
| | 881.053
| | 881.053
| | 884.463
| | 881.465
| | [[5/3]]
| | [[5/3]]
|-
|-
Line 599: Line 599:
| | 894.257
| | 894.257
| | 895.038
| | 895.038
| | 898.502
| | 895.456
| |  
| |  
|-
|-
Line 608: Line 608:
| | 908.230
| | 908.230
| | 909.023
| | 909.023
| | 912.542
| | 909.448
| |  
| |  
|-
|-
Line 617: Line 617:
| | 922.203
| | 922.203
| | 923.008
| | 923.008
| | 926.581
| | 923.439
| |  
| |  
|-
|-
Line 626: Line 626:
| | 936.176
| | 936.176
| | 936.993
| | 936.993
| | 940.620
| | 937.431
| |  
| |  
|-
|-
Line 635: Line 635:
| | 950.148
| | 950.148
| | 950.978
| | 950.978
| | 954.659
| | 951.422
| |  
| |  
|-
|-
Line 644: Line 644:
| | 964.121
| | 964.121
| | 964.962
| | 964.962
| | 968.698
| | 965.414
| | [[7/4]]
| | [[7/4]]
|-
|-
Line 653: Line 653:
| | 978.094
| | 978.094
| | 978.947
| | 978.947
| | 982.737
| | 979.405
| |  
| |  
|-
|-
Line 662: Line 662:
| | 992.067
| | 992.067
| | 992.932
| | 992.932
| | 996.776
| | 993.397
| | [[16/9]]
| | [[16/9]]
|-
|-
Line 671: Line 671:
| | 1006.039
| | 1006.039
| | 1006.917
| | 1006.917
| | 1010.815
| | 1007.388
| | [[25/14]]
| | [[25/14]]
|-
|-
Line 680: Line 680:
| | 1020.012
| | 1020.012
| | 1020.902
| | 1020.902
| | 1024.854
| | 1021.380
| | [[9/5]]
| | [[9/5]]
|-
|-
Line 689: Line 689:
| | 1033.985
| | 1033.985
| | 1034.887
| | 1034.887
| | 1038.893
| | 1035.371
| |  
| |  
|-
|-
Line 698: Line 698:
| | 1047.958
| | 1047.958
| | 1048.872
| | 1048.872
| | 1052.933
| | 1049.363
| | [[11/6]]
| | [[11/6]]
|-
|-
Line 707: Line 707:
| | 1061.931
| | 1061.931
| | 1062.857
| | 1062.857
| | 1066.972
| | 1063.354
| |  
| |  
|-
|-
Line 716: Line 716:
| | 1075.903
| | 1075.903
| | 1076.842
| | 1076.842
| | 1081.011
| | 1077.346
| | [[28/15]]
| | [[28/15]]
|-
|-
Line 725: Line 725:
| | 1089.876
| | 1089.876
| | 1090.827
| | 1090.827
| | 1095.050
| | 1091.337
| | [[15/8]]
| | [[15/8]]
|-
|-
Line 734: Line 734:
| | 1103.849
| | 1103.849
| | 1104.812
| | 1104.812
| | 1109.089
| | 1105.329
| |  
| |  
|-
|-
Line 743: Line 743:
| | 1117.822
| | 1117.822
| | 1118.797
| | 1118.797
| | 1123.128
| | 1119.320
| |  
| |  
|-
|-
Line 752: Line 752:
| | 1131.794
| | 1131.794
| | 1132.782
| | 1132.782
| | 1137.167
| | 1133.312
| |  
| |  
|-
|-
Line 761: Line 761:
| | 1145.767
| | 1145.767
| | 1146.767
| | 1146.767
| | 1151.206
| | 1147.303
| |  
| |  
|-
|-
Line 770: Line 770:
| | 1159.740
| | 1159.740
| | 1160.752
| | 1160.752
| | 1165.245
| | 1161.295
| |  
| |  
|-
|-
Line 779: Line 779:
| | 1173.713
| | 1173.713
| | 1174.737
| | 1174.737
| | 1179.284
| | 1175.286
| |  
| |  
|-
|-
Line 788: Line 788:
| | 1187.685
| | 1187.685
| | 1188.722
| | 1188.722
| | 1193.324
| | 1189.278
| |  
| |  
|-
|-
Line 797: Line 797:
| | 1201.658
| | 1201.658
| | 1202.707
| | 1202.707
| | 1207.363
| | 1203.270
| | [[Octave|2/1]]
| | [[Octave|2/1]]
|}
|}
Retrieved from "https://en.xen.wiki/w/8ed16/15"