| Prime factorization
|
2 × 3 × 5
|
| Step size
|
27.1229 ¢
|
| Octave
|
44\30ed8/5 (1193.41 ¢) (→ 22\15ed8/5)
|
| Twelfth
|
70\30ed8/5 (1898.6 ¢) (→ 7\3ed8/5)
|
| Consistency limit
|
4
|
| Distinct consistency limit
|
4
|
30 equal divisions of 8/5 (abbreviated 30ed8/5) is a nonoctave tuning system that divides the interval of 8/5 into 30 equal parts of about 27.1 ¢ each. Each step represents a frequency ratio of (8/5)1/30, or the 30th root of 8/5.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
27.1
|
|
| 2
|
54.2
|
|
| 3
|
81.4
|
20/19, 21/20, 22/21, 23/22
|
| 4
|
108.5
|
|
| 5
|
135.6
|
|
| 6
|
162.7
|
11/10, 23/21
|
| 7
|
189.9
|
10/9, 19/17
|
| 8
|
217
|
17/15, 26/23
|
| 9
|
244.1
|
15/13, 22/19, 23/20
|
| 10
|
271.2
|
7/6, 27/23
|
| 11
|
298.4
|
13/11
|
| 12
|
325.5
|
23/19
|
| 13
|
352.6
|
11/9, 27/22
|
| 14
|
379.7
|
26/21
|
| 15
|
406.8
|
19/15
|
| 16
|
434
|
9/7, 23/18
|
| 17
|
461.1
|
13/10, 17/13
|
| 18
|
488.2
|
4/3
|
| 19
|
515.3
|
23/17, 27/20
|
| 20
|
542.5
|
15/11, 26/19
|
| 21
|
569.6
|
|
| 22
|
596.7
|
|
| 23
|
623.8
|
10/7
|
| 24
|
650.9
|
19/13
|
| 25
|
678.1
|
|
| 26
|
705.2
|
3/2
|
| 27
|
732.3
|
23/15, 26/17
|
| 28
|
759.4
|
14/9, 17/11
|
| 29
|
786.6
|
11/7
|
| 30
|
813.7
|
|