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	20.673
2	41.347	40/39, 41/40, 42/41, 43/42
3	62.02	28/27, 29/28
4	82.694	21/20, 22/21, 43/41
5	103.367	17/16, 35/33
6	124.041	29/27, 43/40
7	144.714	25/23, 37/34, 38/35
8	165.387	11/10
9	186.061	39/35
10	206.734
11	227.408	41/36
12	248.081	15/13
13	268.755	7/6
14	289.428	13/11
15	310.101	43/36
16	330.775	23/19, 40/33
17	351.448	38/31
18	372.122	26/21, 31/25, 36/29
19	392.795
20	413.468	33/26
21	434.142	9/7
22	454.815	13/10
23	475.489	25/19
24	496.162	4/3
25	516.836	27/20, 31/23, 35/26
26	537.509	15/11
27	558.182	29/21, 40/29
28	578.856
29	599.529	24/17, 41/29
30	620.203	10/7
31	640.876	29/20, 42/29
32	661.55	22/15, 41/28
33	682.223	40/27, 43/29
34	702.896	3/2
35	723.57	38/25, 41/27
36	744.243	20/13, 43/28
37	764.917	14/9
38	785.59
39	806.264	35/22, 43/27
40	826.937	29/18
41	847.61	31/19
42	868.284	33/20, 38/23, 43/26
43	888.957
44	909.631	22/13
45	930.304
46	950.978	26/15
47	971.651
48	992.324	39/22
49	1012.998
50	1033.671	20/11
51	1054.345
52	1075.018	41/22
53	1095.691	32/17
54	1116.365	40/21
55	1137.038	27/14
56	1157.712	39/20, 41/21, 43/22
57	1178.385
58	1199.059	2/1
59	1219.732
60	1240.405	41/20, 43/21
61	1261.079	29/14
62	1281.752	21/10
63	1302.426	17/8
64	1323.099	43/20
65	1343.773	37/17
66	1364.446	11/5
67	1385.119	20/9
68	1405.793	9/4
69	1426.466	41/18
70	1447.14	30/13
71	1467.813	7/3
72	1488.487	26/11
73	1509.16	43/18
74	1529.833	29/12
75	1550.507
76	1571.18
77	1591.854
78	1612.527	33/13
79	1633.2	18/7
80	1653.874	13/5
81	1674.547
82	1695.221
83	1715.894	35/13
84	1736.568	30/11
85	1757.241
86	1777.914
87	1798.588
88	1819.261	20/7
89	1839.935
90	1860.608	41/14
91	1881.282
92	1901.955	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)