| Prime factorization
|
2 × 19
|
| Step size
|
7.02292 ¢
|
| Octave
|
171\38ed7/6 (1200.92 ¢) (→ 9\2ed7/6)
|
| Twelfth
|
271\38ed7/6 (1903.21 ¢)
|
| Consistency limit
|
10
|
| Distinct consistency limit
|
10
|
38 equal divisions of 7/6 (abbreviated 38ed7/6) is a nonoctave tuning system that divides the interval of 7/6 into 38 equal parts of about 7.02 ¢ each. Each step represents a frequency ratio of (7/6)1/38, or the 38th root of 7/6.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
7
|
|
| 2
|
14
|
|
| 3
|
21.1
|
|
| 4
|
28.1
|
|
| 5
|
35.1
|
|
| 6
|
42.1
|
|
| 7
|
49.2
|
|
| 8
|
56.2
|
29/28
|
| 9
|
63.2
|
26/25, 28/27
|
| 10
|
70.2
|
25/24, 27/26
|
| 11
|
77.3
|
22/21, 23/22, 24/23
|
| 12
|
84.3
|
21/20
|
| 13
|
91.3
|
19/18, 20/19
|
| 14
|
98.3
|
17/16
|
| 15
|
105.3
|
18/17
|
| 16
|
112.4
|
16/15
|
| 17
|
119.4
|
15/14, 29/27
|
| 18
|
126.4
|
|
| 19
|
133.4
|
13/12, 14/13, 27/25
|
| 20
|
140.5
|
|
| 21
|
147.5
|
25/23
|
| 22
|
154.5
|
12/11, 23/21
|
| 23
|
161.5
|
11/10
|
| 24
|
168.6
|
|
| 25
|
175.6
|
21/19
|
| 26
|
182.6
|
10/9
|
| 27
|
189.6
|
29/26
|
| 28
|
196.6
|
19/17, 28/25
|
| 29
|
203.7
|
9/8
|
| 30
|
210.7
|
17/15, 26/23
|
| 31
|
217.7
|
|
| 32
|
224.7
|
25/22
|
| 33
|
231.8
|
8/7
|
| 34
|
238.8
|
23/20
|
| 35
|
245.8
|
|
| 36
|
252.8
|
15/13, 22/19, 29/25
|
| 37
|
259.8
|
|
| 38
|
266.9
|
7/6
|