38edt

← 37edt

38edt

39edt →

Prime factorization	2 × 19
Step size	50.0514¢
Octave	24\38edt (1201.23¢) (→12\19edt)
Consistency limit	5
Distinct consistency limit	5

Division of the third harmonic into 38 equal parts (38EDT) is related to 24 edo (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the 6-integer-limit.

Lookalikes: 24edo, 56ed5, 62ed6, 14edf

Harmonics

Approximation of harmonics in 38edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1.2	+0.0	+2.5	+16.6	+1.2	-15.4	+3.7	+0.0	+17.8	+3.0	+2.5
	Relative (%)	+2.5	+0.0	+4.9	+33.1	+2.5	-30.7	+7.4	+0.0	+35.6	+5.9	+4.9
Steps (reduced)		24 (24)	38 (0)	48 (10)	56 (18)	62 (24)	67 (29)	72 (34)	76 (0)	80 (4)	83 (7)	86 (10)

Approximation of harmonics in 38edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+14.1	-14.1	+16.6	+4.9	+0.1	+1.2	+7.7	+19.0	-15.4	+4.2	-22.7
	Relative (%)	+28.1	-28.3	+33.1	+9.9	+0.2	+2.5	+15.5	+38.0	-30.7	+8.4	-45.4
Steps (reduced)		89 (13)	91 (15)	94 (18)	96 (20)	98 (22)	100 (24)	102 (26)	104 (28)	105 (29)	107 (31)	108 (32)

Intervals

Steps	Cents	Approximate Ratios
0	0	1/1
1	50.051
2	100.103	17/16, 18/17, 19/18
3	150.154	12/11, 23/21
4	200.206	9/8, 19/17
5	250.257	15/13, 22/19
6	300.309	19/16
7	350.36	11/9, 27/22
8	400.412	24/19, 29/23
9	450.463	13/10, 22/17
10	500.514	4/3
11	550.566	11/8, 26/19
12	600.617	17/12, 24/17
13	650.669	16/11, 19/13
14	700.72	3/2
15	750.772	17/11, 20/13
16	800.823	19/12, 27/17
17	850.875	18/11
18	900.926	27/16
19	950.978	19/11, 26/15
20	1001.029	16/9
21	1051.08	11/6
22	1101.132	17/9
23	1151.183
24	1201.235	2/1
25	1251.286
26	1301.338	17/8
27	1351.389	24/11
28	1401.441	9/4
29	1451.492
30	1501.543	19/8
31	1551.595	22/9, 27/11
32	1601.646
33	1651.698	13/5
34	1701.749	8/3
35	1751.801	11/4
36	1801.852	17/6
37	1851.904
38	1901.955	3/1