76edt

← 75edt

76edt

77edt →

Prime factorization	22 × 19
Step size	25.0257¢
Octave	48\76edt (1201.23¢) (→12\19edt)
Consistency limit	5
Distinct consistency limit	5

Division of the third harmonic into 76 equal parts (76EDT) is related to 48 edo (eighth-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 25.0257 cents.

Lookalikes: 48edo, 124ed6, 28edf

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	25.026
2	50.051	33/32, 34/33, 35/34, 36/35, 37/36
3	75.077	23/22, 24/23
4	100.103	18/17, 35/33
5	125.129	29/27
6	150.154	12/11
7	175.18	21/19, 31/28
8	200.206	37/33
9	225.232	33/29
10	250.257	15/13, 37/32
11	275.283	27/23, 34/29
12	300.309	19/16
13	325.334	29/24, 35/29
14	350.36	11/9, 38/31
15	375.386	36/29
16	400.412	29/23, 34/27
17	425.437	23/18
18	450.463	35/27
19	475.489	29/22
20	500.514	4/3
21	525.54	19/14, 23/17
22	550.566	11/8
23	575.592
24	600.617	17/12
25	625.643	23/16, 33/23
26	650.669	16/11, 35/24
27	675.695	31/21, 34/23
28	700.72	3/2
29	725.746	35/23
30	750.772	17/11, 37/24
31	775.797	36/23
32	800.823	27/17, 35/22
33	825.849	29/18, 37/23
34	850.875	18/11, 31/19
35	875.9
36	900.926	32/19, 37/22
37	925.952	29/17
38	950.978	26/15
39	976.003
40	1001.029
41	1026.055	38/21
42	1051.08	11/6
43	1076.106
44	1101.132	17/9
45	1126.158	23/12
46	1151.183	33/17, 35/18, 37/19
47	1176.209
48	1201.235	2/1
49	1226.26
50	1251.286	33/16, 35/17
51	1276.312	23/11
52	1301.338	36/17
53	1326.363
54	1351.389	24/11
55	1376.415	31/14
56	1401.441	9/4
57	1426.466
58	1451.492	37/16
59	1476.518
60	1501.543
61	1526.569	29/12
62	1551.595	27/11
63	1576.621
64	1601.646
65	1626.672	23/9
66	1651.698	13/5
67	1676.723	29/11
68	1701.749
69	1726.775	19/7
70	1751.801	11/4
71	1776.826
72	1801.852	17/6
73	1826.878	23/8
74	1851.904	32/11, 35/12
75	1876.929
76	1901.955	3/1

Harmonics

Approximation of harmonics in 76edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1.2	+0.0	+2.5	-8.5	+1.2	+9.6	+3.7	+0.0	-7.2	+3.0	+2.5
	Relative (%)	+4.9	+0.0	+9.9	-33.8	+4.9	+38.5	+14.8	+0.0	-28.9	+11.8	+9.9
Steps (reduced)		48 (48)	76 (0)	96 (20)	111 (35)	124 (48)	135 (59)	144 (68)	152 (0)	159 (7)	166 (14)	172 (20)

Approximation of harmonics in 76edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-11.0	+10.9	-8.5	+4.9	+0.1	+1.2	+7.7	-6.0	+9.6	+4.2	+2.3
	Relative (%)	-43.9	+43.5	-33.8	+19.7	+0.3	+4.9	+30.9	-23.9	+38.5	+16.7	+9.2
Steps (reduced)		177 (25)	183 (31)	187 (35)	192 (40)	196 (44)	200 (48)	204 (52)	207 (55)	211 (59)	214 (62)	217 (65)