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	50.1
2	100.1	17/16, 18/17, 19/18
3	150.2	12/11, 23/21
4	200.2	9/8, 19/17
5	250.3	15/13, 22/19
6	300.3	19/16
7	350.4	11/9, 27/22
8	400.4	24/19, 29/23
9	450.5	13/10, 22/17
10	500.5	4/3
11	550.6	11/8, 26/19
12	600.6	17/12, 24/17
13	650.7	16/11, 19/13
14	700.7	3/2
15	750.8	17/11, 20/13
16	800.8	19/12, 27/17
17	850.9	18/11
18	900.9	27/16
19	951	19/11, 26/15
20	1001	16/9
21	1051.1	11/6
22	1101.1	17/9
23	1151.2
24	1201.2	2/1
25	1251.3
26	1301.3	17/8
27	1351.4	24/11
28	1401.4	9/4
29	1451.5
30	1501.5	19/8
31	1551.6	22/9, 27/11
32	1601.6
33	1651.7	13/5
34	1701.7	8/3
35	1751.8	11/4
36	1801.9	17/6
37	1851.9
38	1902	3/1

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