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	27.97
2	55.94	31/30, 32/31
3	83.91	22/21
4	111.88	16/15
5	139.85	13/12
6	167.82
7	195.789	19/17
8	223.759	33/29
9	251.729	22/19, 37/32
10	279.699	27/23
11	307.669	31/26, 37/31
12	335.639	17/14
13	363.609	21/17, 37/30
14	391.579
15	419.549	14/11
16	447.519	22/17, 35/27
17	475.489	29/22
18	503.459
19	531.429	19/14
20	559.399	29/21
21	587.368
22	615.338
23	643.308
24	671.278	28/19
25	699.248	3/2
26	727.218	35/23
27	755.188	17/11, 31/20
28	783.158	11/7
29	811.128	8/5
30	839.098	13/8
31	867.068	28/17
32	895.038
33	923.008	29/17
34	950.978	26/15
35	978.947
36	1006.917	34/19
37	1034.887
38	1062.857	24/13, 37/20
39	1090.827	15/8
40	1118.797	21/11
41	1146.767	31/16, 33/17
42	1174.737
43	1202.707	2/1
44	1230.677
45	1258.647	29/14, 31/15
46	1286.617
47	1314.587	32/15
48	1342.556
49	1370.526
50	1398.496
51	1426.466
52	1454.436	37/16
53	1482.406	33/14
54	1510.376
55	1538.346	17/7
56	1566.316	37/15
57	1594.286
58	1622.256	23/9
59	1650.226
60	1678.196	29/11
61	1706.166
62	1734.135
63	1762.105	36/13
64	1790.075
65	1818.045
66	1846.015
67	1873.985
68	1901.955	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)