92edt

← 91edt

92edt

93edt →

Prime factorization	22 × 23
Step size	20.6734¢
Octave	58\92edt (1199.06¢) (→29\46edt)
Consistency limit	17
Distinct consistency limit	11

Division of the third harmonic into 92 equal parts (92EDT) is related to 58 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the 18-integer-limit.

Lookalikes: 58edo, 150ed6, 163ed7, 34edf

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	20.7
2	41.3	40/39, 41/40, 42/41, 43/42
3	62	28/27, 29/28
4	82.7	21/20, 22/21, 43/41
5	103.4	17/16, 35/33
6	124	29/27, 43/40
7	144.7	25/23, 37/34, 38/35
8	165.4	11/10
9	186.1	39/35
10	206.7
11	227.4	41/36
12	248.1	15/13
13	268.8	7/6
14	289.4	13/11
15	310.1	43/36
16	330.8	23/19, 40/33
17	351.4	38/31
18	372.1	26/21, 31/25, 36/29
19	392.8
20	413.5	33/26
21	434.1	9/7
22	454.8	13/10
23	475.5	25/19
24	496.2	4/3
25	516.8	27/20, 31/23, 35/26
26	537.5	15/11
27	558.2	29/21, 40/29
28	578.9
29	599.5	24/17, 41/29
30	620.2	10/7
31	640.9	29/20, 42/29
32	661.5	22/15, 41/28
33	682.2	40/27, 43/29
34	702.9	3/2
35	723.6	38/25, 41/27
36	744.2	20/13, 43/28
37	764.9	14/9
38	785.6
39	806.3	35/22, 43/27
40	826.9	29/18
41	847.6	31/19
42	868.3	33/20, 38/23, 43/26
43	889
44	909.6	22/13
45	930.3
46	951	26/15
47	971.7
48	992.3	39/22
49	1013
50	1033.7	20/11
51	1054.3
52	1075	41/22
53	1095.7	32/17
54	1116.4	40/21
55	1137	27/14
56	1157.7	39/20, 41/21, 43/22
57	1178.4
58	1199.1	2/1
59	1219.7
60	1240.4	41/20, 43/21
61	1261.1	29/14
62	1281.8	21/10
63	1302.4	17/8
64	1323.1	43/20
65	1343.8	37/17
66	1364.4	11/5
67	1385.1	20/9
68	1405.8	9/4
69	1426.5	41/18
70	1447.1	30/13
71	1467.8	7/3
72	1488.5	26/11
73	1509.2	43/18
74	1529.8	29/12
75	1550.5
76	1571.2
77	1591.9
78	1612.5	33/13
79	1633.2	18/7
80	1653.9	13/5
81	1674.5
82	1695.2
83	1715.9	35/13
84	1736.6	30/11
85	1757.2
86	1777.9
87	1798.6
88	1819.3	20/7
89	1839.9
90	1860.6	41/14
91	1881.3
92	1902	3/1

Harmonics

Approximation of harmonics in 92edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-0.94	+0.00	-1.88	+4.60	-0.94	+0.94	-2.82	+0.00	+3.66	+4.04	-1.88
	Relative (%)	-4.6	+0.0	-9.1	+22.2	-4.6	+4.6	-13.7	+0.0	+17.7	+19.5	-9.1
Steps (reduced)		58 (58)	92 (0)	116 (24)	135 (43)	150 (58)	163 (71)	174 (82)	184 (0)	193 (9)	201 (17)	208 (24)

Approximation of harmonics in 92edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+4.26	+0.00	+4.60	-3.77	-5.35	-0.94	+8.82	+2.72	+0.94	+3.10	+8.84
	Relative (%)	+20.6	+0.0	+22.2	-18.2	-25.9	-4.6	+42.7	+13.1	+4.6	+15.0	+42.7
Steps (reduced)		215 (31)	221 (37)	227 (43)	232 (48)	237 (53)	242 (58)	247 (63)	251 (67)	255 (71)	259 (75)	263 (79)