92ed7/3

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Prime factorization	22 × 23
Step size	15.9442¢
Octave	75\92ed7/3 (1195.82¢)
Twelfth	119\92ed7/3 (1897.37¢)
Consistency limit	3
Distinct consistency limit	3

92 equal divisions of 7/3 (abbreviated 92ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 92 equal parts of about 15.9⁠ ⁠¢ each. Each step represents a frequency ratio of (7/3)^1/92, or the 92nd root of 7/3.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	15.9
2	31.9
3	47.8	35/34, 38/37
4	63.8	28/27
5	79.7	22/21, 43/41
6	95.7	37/35
7	111.6
8	127.6	43/40
9	143.5	38/35
10	159.4	23/21, 34/31
11	175.4	41/37
12	191.3	19/17, 29/26
13	207.3
14	223.2
15	239.2	39/34
16	255.1	29/25
17	271.1
18	287	33/28
19	302.9	31/26
20	318.9
21	334.8	40/33
22	350.8	38/31
23	366.7
24	382.7
25	398.6	39/31
26	414.6
27	430.5
28	446.4
29	462.4	17/13, 30/23
30	478.3
31	494.3
32	510.2	39/29
33	526.2
34	542.1	26/19, 41/30
35	558
36	574
37	589.9
38	605.9
39	621.8	43/30
40	637.8
41	653.7
42	669.7	25/17
43	685.6
44	701.5	3/2
45	717.5
46	733.4	26/17, 29/19
47	749.4
48	765.3	14/9
49	781.3	11/7
50	797.2
51	813.2
52	829.1
53	845	31/19
54	861	23/14
55	876.9
56	892.9
57	908.8
58	924.8	29/17
59	940.7
60	956.7	40/23
61	972.6
62	988.5
63	1004.5
64	1020.4
65	1036.4	20/11
66	1052.3
67	1068.3
68	1084.2	43/23
69	1100.2
70	1116.1	40/21
71	1132	25/13
72	1148
73	1163.9
74	1179.9
75	1195.8
76	1211.8
77	1227.7
78	1243.7	39/19, 41/20
79	1259.6
80	1275.5	23/11
81	1291.5
82	1307.4
83	1323.4	43/20
84	1339.3
85	1355.3
86	1371.2
87	1387.1	29/13
88	1403.1	9/4
89	1419	34/15
90	1435	39/17
91	1450.9
92	1466.9	7/3

Harmonics

Approximation of harmonics in 92ed7/3

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-4.18	-4.59	+7.58	+3.93	+7.17	-4.59	+3.40	+6.77	-0.25	-5.81	+2.99
	Relative (%)	-26.2	-28.8	+47.6	+24.6	+45.0	-28.8	+21.3	+42.4	-1.6	-36.5	+18.8
Steps (reduced)		75 (75)	119 (27)	151 (59)	175 (83)	195 (11)	211 (27)	226 (42)	239 (55)	250 (66)	260 (76)	270 (86)

Approximation of harmonics in 92ed7/3

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+7.92	+7.17	-0.66	-0.78	+5.87	+2.58	+4.65	-4.43	+6.77	+5.95	-7.23
	Relative (%)	+49.7	+45.0	-4.1	-4.9	+36.8	+16.2	+29.1	-27.8	+42.4	+37.3	-45.3
Steps (reduced)		279 (3)	287 (11)	294 (18)	301 (25)	308 (32)	314 (38)	320 (44)	325 (49)	331 (55)	336 (60)	340 (64)