68edt

← 67edt

68edt

69edt →

Prime factorization	22 × 17
Step size	27.9699¢
Octave	43\68edt (1202.71¢)
Consistency limit	5
Distinct consistency limit	5

Division of the third harmonic into 68 equal parts (68EDT) is related to 43 edo (meride tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 2.7068 cents stretched and the step size is about 27.9699 cents. Unlike 43edo, it is only consistent up to the 6-integer-limit, with discrepancy for the 7th harmonic.

Lookalikes: 43edo, 100ed5, 111ed6, 25edf

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	28
2	55.9	31/30, 32/31
3	83.9	22/21
4	111.9	16/15
5	139.8	13/12
6	167.8
7	195.8	19/17
8	223.8	33/29
9	251.7	22/19, 37/32
10	279.7	27/23
11	307.7	31/26, 37/31
12	335.6	17/14
13	363.6	21/17, 37/30
14	391.6
15	419.5	14/11
16	447.5	22/17, 35/27
17	475.5	29/22
18	503.5
19	531.4	19/14
20	559.4	29/21
21	587.4
22	615.3
23	643.3
24	671.3	28/19
25	699.2	3/2
26	727.2	35/23
27	755.2	17/11, 31/20
28	783.2	11/7
29	811.1	8/5
30	839.1	13/8
31	867.1	28/17
32	895
33	923	29/17
34	951	26/15
35	978.9
36	1006.9	34/19
37	1034.9
38	1062.9	24/13, 37/20
39	1090.8	15/8
40	1118.8	21/11
41	1146.8	31/16, 33/17
42	1174.7
43	1202.7	2/1
44	1230.7
45	1258.6	29/14, 31/15
46	1286.6
47	1314.6	32/15
48	1342.6
49	1370.5
50	1398.5
51	1426.5
52	1454.4	37/16
53	1482.4	33/14
54	1510.4
55	1538.3	17/7
56	1566.3	37/15
57	1594.3
58	1622.3	23/9
59	1650.2
60	1678.2	29/11
61	1706.2
62	1734.1
63	1762.1	36/13
64	1790.1
65	1818
66	1846
67	1874
68	1902	3/1

Harmonics

Approximation of harmonics in 68edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+2.7	+0.0	+5.4	+10.7	+2.7	-12.4	+8.1	+0.0	+13.4	-11.8	+5.4
	Relative (%)	+9.7	+0.0	+19.4	+38.2	+9.7	-44.5	+29.0	+0.0	+47.9	-42.1	+19.4
Steps (reduced)		43 (43)	68 (0)	86 (18)	100 (32)	111 (43)	120 (52)	129 (61)	136 (0)	143 (7)	148 (12)	154 (18)

Approximation of harmonics in 68edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+6.7	-9.7	+10.7	+10.8	-10.2	+2.7	-7.0	-11.9	-12.4	-9.1	-2.1
	Relative (%)	+23.9	-34.8	+38.2	+38.7	-36.5	+9.7	-25.0	-42.5	-44.5	-32.4	-7.5
Steps (reduced)		159 (23)	163 (27)	168 (32)	172 (36)	175 (39)	179 (43)	182 (46)	185 (49)	188 (52)	191 (55)	194 (58)