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	Hekts	Approximate ratios
0	0	0	1/1
1	20.7	14.1
2	41.3	28.3	40/39, 41/40, 42/41, 43/42
3	62	42.4	28/27, 29/28
4	82.7	56.5	21/20, 22/21, 43/41
5	103.4	70.7	17/16, 35/33
6	124	84.8	29/27, 43/40
7	144.7	98.9	25/23, 37/34, 38/35
8	165.4	113	11/10
9	186.1	127.2	39/35
10	206.7	141.3
11	227.4	155.4	41/36
12	248.1	169.6	15/13
13	268.8	183.7	7/6
14	289.4	197.8	13/11
15	310.1	212	43/36
16	330.8	226.1	23/19, 40/33
17	351.4	240.2	38/31
18	372.1	254.3	26/21, 31/25, 36/29
19	392.8	268.5
20	413.5	282.6	33/26
21	434.1	296.7	9/7
22	454.8	310.9	13/10
23	475.5	325	25/19
24	496.2	339.1	4/3
25	516.8	353.3	27/20, 31/23, 35/26
26	537.5	367.4	15/11
27	558.2	381.5	29/21, 40/29
28	578.9	395.7
29	599.5	409.8	24/17, 41/29
30	620.2	423.9	10/7
31	640.9	438	29/20, 42/29
32	661.5	452.2	22/15, 41/28
33	682.2	466.3	40/27, 43/29
34	702.9	480.4	3/2
35	723.6	494.6	38/25, 41/27
36	744.2	508.7	20/13, 43/28
37	764.9	522.8	14/9
38	785.6	537
39	806.3	551.1	35/22, 43/27
40	826.9	565.2	29/18
41	847.6	579.3	31/19
42	868.3	593.5	33/20, 38/23, 43/26
43	889	607.6
44	909.6	621.7	22/13
45	930.3	635.9
46	951	650	26/15
47	971.7	664.1
48	992.3	678.3	39/22
49	1013	692.4
50	1033.7	706.5	20/11
51	1054.3	720.7
52	1075	734.8	41/22
53	1095.7	748.9	32/17
54	1116.4	763	40/21
55	1137	777.2	27/14
56	1157.7	791.3	39/20, 41/21, 43/22
57	1178.4	805.4
58	1199.1	819.6	2/1
59	1219.7	833.7
60	1240.4	847.8	41/20, 43/21
61	1261.1	862	29/14
62	1281.8	876.1	21/10
63	1302.4	890.2	17/8
64	1323.1	904.3	43/20
65	1343.8	918.5	37/17
66	1364.4	932.6	11/5
67	1385.1	946.7	20/9
68	1405.8	960.9	9/4
69	1426.5	975	41/18
70	1447.1	989.1	30/13
71	1467.8	1003.3	7/3
72	1488.5	1017.4	26/11
73	1509.2	1031.5	43/18
74	1529.8	1045.7	29/12
75	1550.5	1059.8
76	1571.2	1073.9
77	1591.9	1088
78	1612.5	1102.2	33/13
79	1633.2	1116.3	18/7
80	1653.9	1130.4	13/5
81	1674.5	1144.6
82	1695.2	1158.7
83	1715.9	1172.8	35/13
84	1736.6	1187	30/11
85	1757.2	1201.1
86	1777.9	1215.2
87	1798.6	1229.3
88	1819.3	1243.5	20/7
89	1839.9	1257.6
90	1860.6	1271.7	41/14
91	1881.3	1285.9
92	1902	1300	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)