76edt

← 75edt

76edt

77edt →

Prime factorization	22 × 19
Step size	25.0257 ¢
Octave	48\76edt (1201.23 ¢) (→ 12\19edt)
Consistency limit	6
Distinct consistency limit	6

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	Hekts	Approximate ratios
0	0	0	1/1
1	25	17.1
2	50.1	34.2	33/32, 34/33, 35/34, 36/35, 37/36
3	75.1	51.3	23/22, 24/23
4	100.1	68.4	18/17, 35/33
5	125.1	85.5	29/27
6	150.2	102.6	12/11
7	175.2	119.7	21/19, 31/28
8	200.2	136.8	37/33
9	225.2	153.9	33/29
10	250.3	171.1	15/13, 37/32
11	275.3	188.2	27/23, 34/29
12	300.3	205.3	19/16
13	325.3	222.4	29/24, 35/29
14	350.4	239.5	11/9, 38/31
15	375.4	256.6	36/29
16	400.4	273.7	29/23, 34/27
17	425.4	290.8	23/18
18	450.5	307.9	35/27
19	475.5	325	29/22
20	500.5	342.1	4/3
21	525.5	359.2	19/14, 23/17
22	550.6	376.3	11/8
23	575.6	393.4
24	600.6	410.5	17/12
25	625.6	427.6	23/16, 33/23
26	650.7	444.7	16/11, 35/24
27	675.7	461.8	31/21, 34/23
28	700.7	478.9	3/2
29	725.7	496.1	35/23
30	750.8	513.2	17/11, 37/24
31	775.8	530.3	36/23
32	800.8	547.4	27/17, 35/22
33	825.8	564.5	29/18, 37/23
34	850.9	581.6	18/11, 31/19
35	875.9	598.7
36	900.9	615.8	32/19, 37/22
37	926	632.9	29/17
38	951	650	26/15
39	976	667.1
40	1001	684.2
41	1026.1	701.3	38/21
42	1051.1	718.4	11/6
43	1076.1	735.5
44	1101.1	752.6	17/9
45	1126.2	769.7	23/12
46	1151.2	786.8	33/17, 35/18, 37/19
47	1176.2	803.9
48	1201.2	821.1	2/1
49	1226.3	838.2
50	1251.3	855.3	33/16, 35/17
51	1276.3	872.4	23/11
52	1301.3	889.5	36/17
53	1326.4	906.6
54	1351.4	923.7	24/11
55	1376.4	940.8	31/14
56	1401.4	957.9	9/4
57	1426.5	975
58	1451.5	992.1	37/16
59	1476.5	1009.2
60	1501.5	1026.3
61	1526.6	1043.4	29/12
62	1551.6	1060.5	27/11
63	1576.6	1077.6
64	1601.6	1094.7
65	1626.7	1111.8	23/9
66	1651.7	1128.9	13/5
67	1676.7	1146.1	29/11
68	1701.7	1163.2
69	1726.8	1180.3	19/7
70	1751.8	1197.4	11/4
71	1776.8	1214.5
72	1801.9	1231.6	17/6
73	1826.9	1248.7	23/8
74	1851.9	1265.8	32/11, 35/12
75	1876.9	1282.9
76	1902	1300	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)