| Prime factorization
|
33
|
| Step size
|
30.1365 ¢
|
| Octave
|
40\27ed8/5 (1205.46 ¢)
|
| Twelfth
|
63\27ed8/5 (1898.6 ¢) (→ 7\3ed8/5)
|
| Consistency limit
|
4
|
| Distinct consistency limit
|
4
|
27 equal divisions of 8/5 (abbreviated 27ed8/5) is a nonoctave tuning system that divides the interval of 8/5 into 27 equal parts of about 30.1 ¢ each. Each step represents a frequency ratio of (8/5)1/27, or the 27th root of 8/5.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
30.1
|
|
| 2
|
60.3
|
|
| 3
|
90.4
|
18/17, 19/18, 20/19, 21/20, 22/21
|
| 4
|
120.5
|
|
| 5
|
150.7
|
12/11, 23/21
|
| 6
|
180.8
|
10/9, 21/19
|
| 7
|
211
|
26/23
|
| 8
|
241.1
|
8/7, 15/13, 23/20
|
| 9
|
271.2
|
7/6, 20/17
|
| 10
|
301.4
|
|
| 11
|
331.5
|
17/14, 23/19
|
| 12
|
361.6
|
21/17, 26/21
|
| 13
|
391.8
|
|
| 14
|
421.9
|
14/11, 23/18
|
| 15
|
452
|
13/10, 22/17
|
| 16
|
482.2
|
|
| 17
|
512.3
|
23/17
|
| 18
|
542.5
|
11/8, 26/19
|
| 19
|
572.6
|
18/13
|
| 20
|
602.7
|
17/12, 24/17
|
| 21
|
632.9
|
13/9
|
| 22
|
663
|
19/13
|
| 23
|
693.1
|
3/2
|
| 24
|
723.3
|
|
| 25
|
753.4
|
17/11, 20/13
|
| 26
|
783.5
|
11/7
|
| 27
|
813.7
|
|