| Prime factorization
|
5 × 7
|
| Step size
|
20.0559¢
|
| Octave
|
60\35edf (1203.35¢) (→12\7edf)
|
| Twelfth
|
95\35edf (1905.31¢) (→19\7edf)
|
| Consistency limit
|
7
|
| Distinct consistency limit
|
7
|
Division of the just perfect fifth into 35 equal parts (35EDF) is related to 60 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 20.0559 cents (corresponding to 59.8329 edo, practically identical to every sixth step of 359edo). The patent val has a generally sharp tendency for harmonics up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the 7-integer-limit, with discrepancy for the 8th harmonic (three octaves).
Lookalikes: 60edo, 95edt
Intervals
| degrees of 60edo
|
cents value
|
approximate ratios in the 2.3.5.13 subgroup
|
additional ratios of 7 and 11 (assuming flat values for primes)
|
| 0
|
|
|
| 1
|
20.0559
|
81/80
|
|
| 2
|
40.1117
|
|
|
| 3
|
60.1676
|
28/27, 27/26
|
|
| 4
|
80.2234
|
|
21/20
|
| 5
|
100.2793
|
|
|
| 6
|
120.3351
|
16/15
|
|
| 7
|
140.391
|
|
|
| 8
|
160.4469
|
|
12/11, 11/10
|
| 9
|
180.5027
|
10/9
|
|
| 10
|
200.5586
|
9/8
|
|
| 11
|
220.6144
|
|
|
| 12
|
240.6703
|
15/13
|
8/7
|
| 13
|
260.7621
|
|
7/6
|
| 14
|
280.782
|
|
|
| 15
|
300.8379
|
|
|
| 16
|
320.8937
|
6/5
|
|
| 17
|
340.9496
|
|
11/9
|
| 18
|
361.0054
|
16/13
|
|
| 19
|
381.0613
|
5/4
|
|
| 20
|
401.1171
|
|
|
| 21
|
421.173
|
|
14/11
|
| 22
|
441.2289
|
|
9/7
|
| 23
|
461.2847
|
13/10
|
|
| 24
|
481.3406
|
|
|
| 25
|
501.3964
|
4/3
|
|
| 26
|
521.4523
|
|
|
| 27
|
541.5081
|
|
11/8, 15/11
|
| 28
|
561.564
|
18/13
|
|
| 29
|
581.6199
|
|
7/5
|
| 30
|
601.6757
|
|
|
| 31
|
621.7315
|
|
10/7
|
| 32
|
641.7874
|
13/9
|
|
| 33
|
661.8433
|
|
16/11, 22/15
|
| 34
|
681.8891
|
|
|
| 35
|
701.955
|
3/2
|
|
| 36
|
722.0109
|
|
|
| 37
|
742.0667
|
20/13
|
|
| 38
|
762.1226
|
|
14/9
|
| 39
|
782.1784
|
|
11/7
|
| 40
|
802.2343
|
|
|
| 41
|
822.2901
|
8/5
|
|
| 42
|
842.346
|
13/8
|
|
| 43
|
862.4019
|
|
18/11
|
| 44
|
882.4577
|
5/3
|
|
| 45
|
902.5136
|
|
|
| 46
|
922.5694
|
|
|
| 47
|
942.6253
|
|
12/7
|
| 48
|
962.6811
|
26/15
|
7/4
|
| 49
|
982.737
|
|
|
| 50
|
1002.7929
|
16/9
|
|
| 51
|
1022.8487
|
9/5
|
|
| 52
|
1042.9046
|
|
11/6, 20/11
|
| 53
|
1062.9604
|
|
|
| 54
|
1083.0163
|
15/8
|
|
| 55
|
1103.0721
|
|
|
| 56
|
1123.128
|
|
|
| 57
|
1143.1839
|
|
|
| 58
|
1163.2397
|
|
|
| 59
|
1183.2956
|
|
|
| 60
|
1203.3514
|
|
|
| 61
|
1223.4073
|
81/40
|
|
| 62
|
1243.4631
|
|
|
| 63
|
1263.519
|
56/27, 27/13
|
|
| 64
|
1283.5749
|
|
21/10
|
| 65
|
1303.6307
|
|
|
| 66
|
1323.6866
|
32/15
|
|
| 67
|
1343.7424
|
|
|
| 68
|
1363.7983
|
|
24/11, 11/5
|
| 69
|
1383.85415
|
20/9
|
|
| 70
|
1403.91
|
9/4
|
|