| Prime factorization
|
2 × 19
|
| Step size
|
25.4954 ¢
|
| Octave
|
47\38ed7/4 (1198.28 ¢)
|
| Twelfth
|
75\38ed7/4 (1912.16 ¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
38 equal divisions of 7/4 (abbreviated 38ed7/4) is a nonoctave tuning system that divides the interval of 7/4 into 38 equal parts of about 25.5 ¢ each. Each step represents a frequency ratio of (7/4)1/38, or the 38th root of 7/4.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
25.5
|
|
| 2
|
51
|
|
| 3
|
76.5
|
22/21, 23/22, 24/23
|
| 4
|
102
|
17/16
|
| 5
|
127.5
|
14/13
|
| 6
|
153
|
12/11, 23/21
|
| 7
|
178.5
|
21/19
|
| 8
|
204
|
|
| 9
|
229.5
|
8/7
|
| 10
|
255
|
15/13, 22/19
|
| 11
|
280.4
|
20/17
|
| 12
|
305.9
|
|
| 13
|
331.4
|
17/14, 23/19, 29/24
|
| 14
|
356.9
|
16/13
|
| 15
|
382.4
|
5/4
|
| 16
|
407.9
|
19/15, 24/19, 29/23
|
| 17
|
433.4
|
|
| 18
|
458.9
|
13/10, 17/13
|
| 19
|
484.4
|
29/22
|
| 20
|
509.9
|
|
| 21
|
535.4
|
15/11, 19/14, 26/19
|
| 22
|
560.9
|
29/21
|
| 23
|
586.4
|
7/5
|
| 24
|
611.9
|
10/7
|
| 25
|
637.4
|
|
| 26
|
662.9
|
19/13, 22/15, 25/17
|
| 27
|
688.4
|
|
| 28
|
713.9
|
|
| 29
|
739.4
|
20/13, 23/15, 26/17, 29/19
|
| 30
|
764.9
|
|
| 31
|
790.4
|
19/12
|
| 32
|
815.9
|
8/5
|
| 33
|
841.3
|
13/8
|
| 34
|
866.8
|
23/14, 28/17
|
| 35
|
892.3
|
|
| 36
|
917.8
|
17/10, 22/13
|
| 37
|
943.3
|
19/11
|
| 38
|
968.8
|
7/4
|