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	15.944
2	31.888
3	47.833	35/34, 38/37
4	63.777	28/27
5	79.721	22/21, 43/41
6	95.665	37/35
7	111.61
8	127.554	43/40
9	143.498	38/35
10	159.442	23/21, 34/31
11	175.387	41/37
12	191.331	19/17, 29/26
13	207.275
14	223.219
15	239.164	39/34
16	255.108	29/25
17	271.052
18	286.996	33/28
19	302.941	31/26
20	318.885
21	334.829	40/33
22	350.773	38/31
23	366.718
24	382.662
25	398.606	39/31
26	414.55
27	430.495
28	446.439
29	462.383	17/13, 30/23
30	478.327
31	494.272
32	510.216	39/29
33	526.16
34	542.104	26/19, 41/30
35	558.049
36	573.993
37	589.937
38	605.881
39	621.826	43/30
40	637.77
41	653.714
42	669.658	25/17
43	685.603
44	701.547	3/2
45	717.491
46	733.435	26/17, 29/19
47	749.38
48	765.324	14/9
49	781.268	11/7
50	797.212
51	813.157
52	829.101
53	845.045	31/19
54	860.989	23/14
55	876.934
56	892.878
57	908.822
58	924.766	29/17
59	940.711
60	956.655	40/23
61	972.599
62	988.543
63	1004.488
64	1020.432
65	1036.376	20/11
66	1052.32
67	1068.265
68	1084.209	43/23
69	1100.153
70	1116.097	40/21
71	1132.042	25/13
72	1147.986
73	1163.93
74	1179.874
75	1195.819
76	1211.763
77	1227.707
78	1243.651	39/19, 41/20
79	1259.596
80	1275.54	23/11
81	1291.484
82	1307.428
83	1323.373	43/20
84	1339.317
85	1355.261
86	1371.205
87	1387.15	29/13
88	1403.094	9/4
89	1419.038	34/15
90	1434.982	39/17
91	1450.927
92	1466.871	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)