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Equal Divisions of Rational Intervals

Tables

  1. Octave (2/1)
  2. Quintave (3/2)
  3. Fourth (4/3)
  4. Minor Sixth (8/5)
  5. Major Sixth (5/3)
  6. Minor Seventh (9/5)
  7. Ninth (9/4)
  8. Major Tenth (5/2)
  9. Twelfth (3/1)
  10. Double Octave (4/1)
  11. Fifth Harmonic (5/1)
  12. Seventh Harmonic (7/1)
  13. Triple Octave (8/1)
  14. 11-Subminor Tritone (11/8)
  15. 11-Neutral Ninth (11/5)
  16. Subminor Tenth (7/3)
  17. Harmonic Seventh (7/4)
  18. Just Tritone (7/5)
  19. Augmented Just Tritone (10/7)
  20. 11-Subminor Sixth (11/7)
  21. Supermajor Sixth (12/7)

Equal Divisions of the 11-Subminor Tritone

Compiled by X. J. Scott, January 2008

Tuning step size recipe Scale Pattern
3rd root of 11/8 183.773 cents LMSO Scale Recipe File Icon
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184
184
184
368
184
551
 
735
 
919
 
1103
 
1286
 
1470
4th root of 11/8 137.829 cents LMSO Scale Recipe File Icon
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138
138
138
276
138
413
138
551
 
689
 
827
 
965
 
1103
 
1240
 
1378
 
1516
5th root of 11/8 110.264 cents LMSO Scale Recipe File Icon
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110
110
110
221
110
331
110
441
110
551
 
662
 
772
 
882
 
992
 
1103
 
1213
 
1323
 
1433
6th root of 11/8 91.886 cents LMSO Scale Recipe File Icon
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92
92
92
184
92
276
92
368
92
459
92
551
 
643
 
735
 
827
 
919
 
1011
 
1103
 
1195
 
1286
 
1378
 
1470
7th root of 11/8 78.760 cents LMSO Scale Recipe File Icon
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79
79
79
158
79
236
79
315
79
394
79
473
79
551
 
630
 
709
 
788
 
866
 
945
 
1024
 
1103
 
1181
 
1260
 
1339
 
1418
8th root of 11/8 68.915 cents LMSO Scale Recipe File Icon
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69
69
69
138
69
207
69
276
69
345
69
413
69
482
69
551
 
620
 
689
 
758
 
827
 
896
 
965
 
1034
 
1103
 
1172
 
1240
 
1309
 
1378
 
1447
9th root of 11/8 61.258 cents LMSO Scale Recipe File Icon
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61
61
61
123
61
184
61
245
61
306
61
368
61
429
61
490
61
551
 
613
 
674
 
735
 
796
 
858
 
919
 
980
 
1041
 
1103
 
1164
 
1225
 
1286
 
1348
 
1409
10th root of 11/8 55.132 cents LMSO Scale Recipe File Icon
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55
55
55
110
55
165
55
221
55
276
55
331
55
386
55
441
55
496
55
551
 
606
 
662
 
717
 
772
 
827
 
882
 
937
 
992
 
1048
 
1103
 
1158
 
1213
 
1268
 
1323
 
1378
 
1433
11th root of 11/8 50.120 cents LMSO Scale Recipe File Icon
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50
50
50
100
50
150
50
200
50
251
50
301
50
351
50
401
50
451
50
501
50
551
 
601
 
652
 
702
 
752
 
802
 
852
 
902
 
952
 
1002
 
1053
 
1103
 
1153
 
1203
 
1253
 
1303
 
1353
 
1403
 
1453
12th root of 11/8 45.943 cents LMSO Scale Recipe File Icon
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46
46
46
92
46
138
46
184
46
230
46
276
46
322
46
368
46
413
46
459
46
505
46
551
 
597
 
643
 
689
 
735
 
781
 
827
 
873
 
919
 
965
 
1011
 
1057
 
1103
 
1149
 
1195
 
1240
 
1286
 
1332
 
1378
 
1424
13th root of 11/8 42.409 cents LMSO Scale Recipe File Icon
0
42
42
42
85
42
127
42
170
42
212
42
254
42
297
42
339
42
382
42
424
42
466
42
509
42
551
 
594
 
636
 
679
 
721
 
763
 
806
 
848
 
891
 
933
 
975
 
1018
 
1060
 
1103
 
1145
 
1187
 
1230
 
1272
 
1315
 
1357
 
1399
 
1442
14th root of 11/8 39.380 cents LMSO Scale Recipe File Icon
0
39
39
39
79
39
118
39
158
39
197
39
236
39
276
39
315
39
354
39
394
39
433
39
473
39
512
39
551
 
591
 
630
 
669
 
709
 
748
 
788
 
827
 
866
 
906
 
945
 
984
 
1024
 
1063
 
1103
 
1142
 
1181
 
1221
 
1260
 
1300
 
1339
 
1378
 
1418
15th root of 11/8 36.755 cents LMSO Scale Recipe File Icon
0
37
37
37
74
37
110
37
147
37
184
37
221
37
257
37
294
37
331
37
368
37
404
37
441
37
478
37
515
37
551
 
588
 
625
 
662
 
698
 
735
 
772
 
809
 
845
 
882
 
919
 
956
 
992
 
1029
 
1066
 
1103
 
1139
 
1176
 
1213
 
1250
 
1286
 
1323
 
1360
 
1397
 
1433
16th root of 11/8 34.457 cents LMSO Scale Recipe File Icon
0
34
34
34
69
34
103
34
138
34
172
34
207
34
241
34
276
34
310
34
345
34
379
34
413
34
448
34
482
34
517
34
551
 
586
 
620
 
655
 
689
 
724
 
758
 
793
 
827
 
861
 
896
 
930
 
965
 
999
 
1034
 
1068
 
1103
 
1137
 
1172
 
1206
 
1240
 
1275
 
1309
 
1344
 
1378
 
1413
17th root of 11/8 32.430 cents LMSO Scale Recipe File Icon
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32
32
32
65
32
97
32
130
32
162
32
195
32
227
32
259
32
292
32
324
32
357
32
389
32
422
32
454
32
486
32
519
32
551
 
584
 
616
 
649
 
681
 
713
 
746
 
778
 
811
 
843
 
876
 
908
 
940
 
973
 
1005
 
1038
 
1070
 
1103
 
1135
 
1167
 
1200
 
1232
 
1265
 
1297
 
1330
 
1362
 
1395
 
1427
18th root of 11/8 30.629 cents LMSO Scale Recipe File Icon
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31
31
31
61
31
92
31
123
31
153
31
184
31
214
31
245
31
276
31
306
31
337
31
368
31
398
31
429
31
459
31
490
31
521
31
551
 
582
 
613
 
643
 
674
 
704
 
735
 
766
 
796
 
827
 
858
 
888
 
919
 
949
 
980
 
1011
 
1041
 
1072
 
1103
 
1133
 
1164
 
1195
 
1225
 
1256
 
1286
 
1317
 
1348
 
1378
 
1409

Copyright © 2008,2011 X. J. Scott, Red Barn Goat Farm (nonoctave.com). All Rights Reserved.