62edt

← 61edt

62edt

63edt →

Prime factorization	2 × 31
Step size	30.6767¢
Octave	39\62edt (1196.39¢)
Consistency limit	7
Distinct consistency limit	7

Division of the third harmonic into 62 equal parts (62EDT) is related to 39 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.6090 cents compressed and the step size is about 30.6767 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 39edo is only consistent up to the 6-integer-limit.

Intervals

degree	cents value	hekts	corresponding JI intervals	comments
0			exact 1/1
1	30.6767	20.9677	57/56, 56/55
2	61.3534	41.9355	57/55
3	92.0301	62.9032	96/91
4	122.7068	83.871	161/150, 189/176
5	153.3835	104.8387	12/11
6	184.0602	125.80645	10/9
7	214.7369	146.7742	17/15
8	245.4135	167.7412	121/105
9	276.0902	188.7097	20/17
10	306.7669	209.6774	6/5
11	337.4436	230.6452	243/200
12	368.1203	251.6129	16/13
13	398.797	272.58065	34/27
14	429.4737	293.5484	9/7
15	460.1504	314.5161	21/16
16	490.8271	335.4839	4/3
17	521.5038	356.4516	77/57
18	552.1805	377.49135	11/8
19	582.8572	398.3871	7/5
20	613.5339	419.3548	57/40
21	644.2106	440.3226	16/11
22	674.8873	461.2903	96/65
23	705.564	482.2851	3/2
24	736.2406	503.2258	153/100
25	766.9173	524.19355	81/52
26	797.594	545.1613	27/17
27	828.2707	566.129	13/8
28	858.9474	587.0968	69/42
29	889.6241	608.0645	117/70	pseudo-5/3
30	920.3008	629.0323	17/10
31	950.9775	650	26/15
32	981.6542	670.9677	30/17
33	1012.3309	691.9355	70/39	pseudo-9/5
34	1043.0076	712.9032	42/23
35	1073.6843	733.871	119/64
36	1104.361	754.8387	17/9
37	1135.0377	775.80645	52/27
38	1165.7144	796.7742	100/51
39	1196.391	817.7419	2/1	pseudo-octave
40	1227.0677	838.7097	65/32
41	1257.7444	859.6774	114/55
42	1288.4211	880.6452	40/19
43	1319.0978	901.6129	15/7
44	1349.7745	922.58065	24/11
45	1380.4512	943.5484	20/9
46	1411.1279	964.5161	9/4
47	1441.8046	985.4839	23/10
48	1472.4813	1006.4516	7/3
49	1503.158	1027.4194	81/34
50	1533.8347	1048.3871	39/16
51	1564.5114	1069.3548	200/81
52	1595.1881	1090.3226	98/39
53	1625.8648	1111.2903	51/20
54	1656.5415	1132.2581	192/65
55	1687.2181	1153.2258	8/3
56	1717.8948	1174.19355	27/10
57	1748.5715	1195.1613	11/4
58	1779.2482	1216.129	176/63
59	1809.9249	1237.0968	91/32
60	1840.6016	1258.0645	55/19
61	1871.2783	1279.0323	56/19
62	1901.955	1300	exact 3/1	just perfect fifth plus an octave

Harmonics

Approximation of harmonics in 62edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-3.6	+0.0	-7.2	+5.3	-3.6	+5.6	-10.8	+0.0	+1.7	-10.0	-7.2
	Relative (%)	-11.8	+0.0	-23.5	+17.2	-11.8	+18.3	-35.3	+0.0	+5.4	-32.5	-23.5
Steps (reduced)		39 (39)	62 (0)	78 (16)	91 (29)	101 (39)	110 (48)	117 (55)	124 (0)	130 (6)	135 (11)	140 (16)

Approximation of harmonics in 62edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+7.6	+2.0	+5.3	-14.4	+3.3	-3.6	-5.2	-2.0	+5.6	-13.6	+1.5
	Relative (%)	+24.8	+6.5	+17.2	-47.1	+10.8	-11.8	-16.9	-6.4	+18.3	-44.2	+4.9
Steps (reduced)		145 (21)	149 (25)	153 (29)	156 (32)	160 (36)	163 (39)	166 (42)	169 (45)	172 (48)	174 (50)	177 (53)