| Prime factorization
|
3 × 17
|
| Step size
|
13.7638 ¢
|
| Octave
|
87\51edf (1197.45 ¢) (→ 29\17edf)
|
| Twelfth
|
138\51edf (1899.41 ¢) (→ 46\17edf)
|
| Consistency limit
|
6
|
| Distinct consistency limit
|
6
|
Division of the just perfect fifth into 51 equal parts (51EDF) is related to 87 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 2.5474 cents compressed and the step size is about 13.7638 cents (corresponding to 87.1851 edo). Unlike 87edo, it is only consistent up to the 6-integer-limit, with discrepancy for the 7th harmonic.
Lookalikes: 87edo, 138edt
Intervals
| Degree
|
Cents
|
| 0
|
| 1
|
13.7638
|
| 2
|
27.52765
|
| 3
|
41.2915
|
| 4
|
55.0555
|
| 5
|
68.8191
|
| 6
|
82.5829
|
| 7·
|
96.3468
|
| 8
|
110.1106
|
| 9
|
123.8744
|
| 10
|
137.6382
|
| 11
|
151.0206
|
| 12·
|
165.1659
|
| 13
|
178.9297
|
| 14
|
192.6935
|
| 15
|
206.45735
|
| 16
|
220.2212
|
| 17·
|
233.985
|
| 18
|
248.7488
|
| 19
|
261.51265
|
| 20
|
275.2765
|
| 21
|
289.0403
|
| 22·
|
302.8041
|
| 23
|
316.5679
|
| 24
|
330.3318
|
| 25
|
344.0955
|
| 26
|
357.8594
|
| 27
|
371.6232
|
| 28
|
385.3871
|
| 29
|
399.1509
|
| 30
|
412.9147
|
| 31
|
426.6785
|
| 32
|
440.44253
|
| 33
|
455.2062
|
| 34
|
467.97
|
| 35
|
481.7338
|
| 36
|
495.49765
|
| 37
|
509.2615
|
| 38
|
523.0253
|
| 39
|
536.7891
|
| 40
|
550.5529
|
| 41
|
564.3168
|
| 42
|
578.0806
|
| 43
|
591.8444
|
| 44
|
605.6082
|
| 45
|
619.3721
|
| 46
|
633.1359
|
| 47
|
646.8997
|
| 48
|
660.6635
|
| 49
|
674.42735
|
| 50
|
688.1912
|
| 51
|
701.955
|
| 52
|
715.7188
|
| 53
|
729.48365
|
| 54
|
743.2465
|
| 55
|
757.0103
|
| 56
|
770.7741
|
| 57
|
784.5379
|
| 58
|
798.3018
|
| 59
|
812.0656
|
| 60
|
825.8294
|
| 61
|
839.5932
|
| 62
|
853.3571
|
| 63
|
867.1209
|
| 64
|
880.8847
|
| 65
|
894.6485
|
| 66
|
908.41235
|
| 67
|
922.1762
|
| 68
|
935.94
|
| 69
|
949.7038
|
| 70
|
963.46765
|
| 71
|
977.2315
|
| 72
|
990.9952
|
| 73
|
1004.7591
|
| 74
|
1018.5229
|
| 75
|
1032.32868
|
| 76
|
1046.0506
|
| 77
|
1059.8144
|
| 78
|
1073.5782
|
| 79
|
1087.3421
|
| 80
|
1101.1059
|
| 81
|
1114.8697
|
| 82
|
1128.6335
|
| 83
|
1142.39735
|
| 84
|
1156.1612
|
| 85
|
1169.925
|
| 86
|
1183.6888
|
| 87
|
1197.45265
|
| 88
|
1211.2165
|
| 89
|
1224.9803
|
| 90
|
1238.7441
|
| 91
|
1252.5079
|
| 92
|
1266.2718
|
| 93
|
1280.0356
|
| 94
|
1293.7994
|
| 95
|
1307.5632
|
| 96
|
1321.3271
|
| 97
|
1335.0909
|
| 98
|
1348.8547
|
| 99
|
1362.6185
|
| 100
|
1376.3824
|
| 101
|
1390.1462
|
| 102
|
1403.91
|