| Prime factorization
|
2 × 3 × 7
|
| Step size
|
16.7132¢
|
| Octave
|
72\42edf (1203.35¢) (→12\7edf)
|
| Twelfth
|
114\42edf (1905.31¢) (→19\7edf)
|
| Consistency limit
|
7
|
| Distinct consistency limit
|
7
|
Division of the just perfect fifth into 42 equal parts (42EDF) is related to 72 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 16.7132 cents (corresponding to 71.7995 edo, practically identical to every fifth step of 359edo). Unlike 72edo, it is only consistent up to the 7-integer-limit, with discrepancy for the 8th harmonic (three octaves).
Lookalikes: 72edo, 114edt
| degrees
|
cents value
|
approximate ratios (11-limit)
|
| 0
|
1/1
|
| 1
|
16.7132
|
81/80
|
| 2
|
33.4264
|
45/44
|
| 3
|
50.1396
|
33/32
|
| 4
|
66.8529
|
25/24
|
| 5
|
83.5661
|
21/20
|
| 6
|
100.2793
|
35/33
|
| 7
|
116.9925
|
15/14
|
| 8
|
133.7057
|
27/25
|
| 9
|
150.4189
|
12/11
|
| 10
|
167.1321
|
11/10
|
| 11
|
183.8454
|
10/9
|
| 12
|
200.5586
|
9/8
|
| 13
|
217.2717
|
25/22
|
| 14
|
233.985
|
8/7
|
| 15
|
250.6982
|
81/70
|
| 16
|
267.4114
|
7/6
|
| 17
|
284.1246
|
33/28
|
| 18
|
300.8379
|
25/21
|
| 19
|
317.5511
|
6/5
|
| 20
|
334.2643
|
40/33
|
| 21
|
350.9775
|
11/9
|
| 22
|
367.6907
|
99/80
|
| 23
|
384.4039
|
5/4
|
| 24
|
401.1171
|
44/35
|
| 25
|
417.8304
|
14/11
|
| 26
|
434.5436
|
9/7
|
| 27
|
451.2568
|
35/27
|
| 28
|
467.97
|
21/16
|
| 29
|
484.6832
|
33/25
|
| 30
|
501.3964
|
4/3
|
| 31
|
518.1096
|
27/20
|
| 32
|
534.8229
|
15/11
|
| 33
|
551.536
|
11/8
|
| 34
|
568.2493
|
25/18
|
| 35
|
584.9625
|
7/5
|
| 36
|
601.6757
|
99/70
|
| 37
|
618.3889
|
10/7
|
| 38
|
635.1021
|
36/25
|
| 39
|
651.8154
|
16/11
|
| 40
|
668.5286
|
22/15
|
| 41
|
685.2418
|
40/27
|
| 42
|
701.955
|
3/2
|
| 43
|
718.6682
|
50/33
|
| 44
|
735.3814
|
32/21
|
| 45
|
752.0946
|
54/35
|
| 46
|
768.8079
|
14/9
|
| 47
|
785.5211
|
11/7
|
| 48
|
802.2343
|
35/22
|
| 49
|
818.9475
|
8/5
|
| 50
|
835.6607
|
81/50
|
| 51
|
852.3739
|
18/11
|
| 52
|
869.0871
|
33/20
|
| 53
|
885.8004
|
5/3
|
| 54
|
902.5136
|
27/16
|
| 55
|
919.2268
|
56/33
|
| 56
|
935.94
|
12/7
|
| 57
|
952.6532
|
121/70
|
| 58
|
969.3664
|
7/4
|
| 59
|
986.0796
|
44/25
|
| 60
|
1002.7929
|
16/9
|
| 61
|
1019.506
|
9/5
|
| 62
|
1036.2193
|
20/11
|
| 63
|
1052.9235
|
11/6
|
| 64
|
1069.6457
|
50/27
|
| 65
|
1086.3589
|
15/8
|
| 66
|
1103.0721
|
66/35
|
| 67
|
1119.7854
|
21/11
|
| 68
|
1136.4986
|
27/14
|
| 69
|
1153.2118
|
35/18
|
| 70
|
1169.925
|
49/25
|
| 71
|
1186.6382
|
99/50
|
| 72
|
1203.3514
|
2/1
|
| 73
|
1220.0646
|
81/40
|
| 74
|
1236.7779
|
45/22
|
| 75
|
1253.4911
|
33/16
|
| 76
|
1270.2043
|
56/27
|
| 77
|
1286.9175
|
21/10
|
| 78
|
1303.6307
|
70/33
|
| 79
|
1320.3439
|
15/7
|
| 80
|
1337.05715
|
54/25
|
| 81
|
1353.7704
|
24/11
|
| 82
|
1370.4836
|
11/5
|
| 83
|
1387.1968
|
20/9
|
| 84
|
1403.91
|
9/4
|