| Prime factorization
|
2 × 5 × 7
|
| Step size
|
17.5656 ¢
|
| Octave
|
68\70ed59/29 (1194.46 ¢) (→ 34\35ed59/29)
|
| Twelfth
|
108\70ed59/29 (1897.09 ¢) (→ 54\35ed59/29)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
70 equal divisions of 59/29 (abbreviated 70ed59/29) is a nonoctave tuning system that divides the interval of 59/29 into 70 equal parts of about 17.6 ¢ each. Each step represents a frequency ratio of (59/29)1/70, or the 70th root of 59/29.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
11-limit ratios
|
| 0
|
0
|
1/1
|
1/1
|
| 1
|
17.6
|
|
99/98
|
| 2
|
35.1
|
|
49/48
|
| 3
|
52.7
|
34/33
|
33/32
|
| 4
|
70.3
|
|
25/24
|
| 5
|
87.8
|
20/19, 21/20
|
…
|
| 6
|
105.4
|
33/31
|
| 7
|
123
|
15/14
|
| 8
|
140.5
|
|
| 9
|
158.1
|
23/21, 34/31
|
| 10
|
175.7
|
21/19, 31/28
|
| 11
|
193.2
|
19/17
|
| 12
|
210.8
|
26/23
|
| 13
|
228.4
|
|
| 14
|
245.9
|
15/13
|
| 15
|
263.5
|
|
| 16
|
281.1
|
20/17, 33/28
|
| 17
|
298.6
|
|
| 18
|
316.2
|
|
| 19
|
333.7
|
17/14, 23/19
|
| 20
|
351.3
|
27/22
|
| 21
|
368.9
|
21/17, 26/21
|
| 22
|
386.4
|
|
| 23
|
404
|
29/23
|
| 24
|
421.6
|
37/29
|
| 25
|
439.1
|
|
| 26
|
456.7
|
13/10, 30/23
|
| 27
|
474.3
|
|
| 28
|
491.8
|
|
| 29
|
509.4
|
|
| 30
|
527
|
19/14, 23/17
|
| 31
|
544.5
|
26/19
|
| 32
|
562.1
|
29/21
|
| 33
|
579.7
|
7/5
|
| 34
|
597.2
|
31/22
|
| 35
|
614.8
|
10/7
|
| 36
|
632.4
|
|
| 37
|
649.9
|
|
| 38
|
667.5
|
|
| 39
|
685.1
|
|
| 40
|
702.6
|
3/2
|
| 41
|
720.2
|
|
| 42
|
737.8
|
23/15, 26/17
|
| 43
|
755.3
|
17/11, 31/20
|
| 44
|
772.9
|
|
| 45
|
790.5
|
30/19
|
| 46
|
808
|
|
| 47
|
825.6
|
37/23
|
| 48
|
843.2
|
|
| 49
|
860.7
|
23/14, 28/17
|
| 50
|
878.3
|
|
| 51
|
895.8
|
|
| 52
|
913.4
|
|
| 53
|
931
|
|
| 54
|
948.5
|
19/11, 26/15
|
| 55
|
966.1
|
|
| 56
|
983.7
|
30/17, 37/21
|
| 57
|
1001.2
|
|
| 58
|
1018.8
|
|
| 59
|
1036.4
|
20/11, 31/17
|
| 60
|
1053.9
|
|
| 61
|
1071.5
|
13/7
|
| 62
|
1089.1
|
|
| 63
|
1106.6
|
|
| 64
|
1124.2
|
|
| 65
|
1141.8
|
29/15
|
| 66
|
1159.3
|
|
| 67
|
1176.9
|
|
| 68
|
1194.5
|
|
| 69
|
1212
|
|
| 70
|
1229.6
|
|