User:MisterShafXen/38ed7/6

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38ed7/6

39ed7/6 →

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