| Prime factorization
|
3 × 11
|
| Step size
|
17.6519 ¢
|
| Octave
|
68\33ed7/5 (1200.33 ¢)
(convergent)
|
| Twelfth
|
108\33ed7/5 (1906.4 ¢) (→ 36\11ed7/5)
|
| Consistency limit
|
8
|
| Distinct consistency limit
|
8
|
33 equal divisions of 7/5 (abbreviated 33ed7/5) is a nonoctave tuning system that divides the interval of 7/5 into 33 equal parts of about 17.7 ¢ each. Each step represents a frequency ratio of (7/5)1/33, or the 33rd root of 7/5.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
17.7
|
|
| 2
|
35.3
|
|
| 3
|
53
|
|
| 4
|
70.6
|
24/23, 25/24, 26/25, 27/26
|
| 5
|
88.3
|
19/18, 20/19, 21/20
|
| 6
|
105.9
|
16/15, 17/16, 18/17
|
| 7
|
123.6
|
14/13, 15/14
|
| 8
|
141.2
|
13/12, 25/23, 27/25
|
| 9
|
158.9
|
11/10, 12/11, 23/21
|
| 10
|
176.5
|
10/9, 21/19
|
| 11
|
194.2
|
19/17, 28/25
|
| 12
|
211.8
|
9/8, 17/15, 26/23
|
| 13
|
229.5
|
8/7, 25/22
|
| 14
|
247.1
|
15/13, 22/19, 23/20
|
| 15
|
264.8
|
7/6
|
| 16
|
282.4
|
20/17, 27/23
|
| 17
|
300.1
|
19/16, 25/21
|
| 18
|
317.7
|
6/5
|
| 19
|
335.4
|
17/14, 23/19, 28/23
|
| 20
|
353
|
16/13
|
| 21
|
370.7
|
21/17, 26/21
|
| 22
|
388.3
|
5/4
|
| 23
|
406
|
19/15, 24/19
|
| 24
|
423.6
|
14/11, 23/18
|
| 25
|
441.3
|
9/7, 22/17
|
| 26
|
458.9
|
13/10, 17/13
|
| 27
|
476.6
|
21/16, 25/19
|
| 28
|
494.3
|
4/3
|
| 29
|
511.9
|
|
| 30
|
529.6
|
19/14, 23/17
|
| 31
|
547.2
|
11/8, 26/19
|
| 32
|
564.9
|
18/13, 25/18
|
| 33
|
582.5
|
7/5
|