91ed7/3

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Prime factorization	7 × 13
Step size	16.1195¢
Octave	74\91ed7/3 (1192.84¢)
Twelfth	118\91ed7/3 (1902.1¢) (semiconvergent)
Consistency limit	3
Distinct consistency limit	3

91 equal divisions of 7/3 (abbreviated 91ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 91 equal parts of about 16.1⁠ ⁠¢ each. Each step represents a frequency ratio of (7/3)^1/91, or the 91st root of 7/3.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	16.1
2	32.2
3	48.4
4	64.5
5	80.6	22/21
6	96.7	18/17, 37/35
7	112.8	31/29
8	129	14/13
9	145.1	25/23
10	161.2
11	177.3	41/37
12	193.4	19/17
13	209.6	35/31
14	225.7	33/29
15	241.8	31/27
16	257.9	29/25
17	274	41/35
18	290.2
19	306.3	37/31
20	322.4
21	338.5	17/14
22	354.6	27/22
23	370.7	31/25
24	386.9
25	403	29/23
26	419.1	37/29
27	435.2	9/7
28	451.3	35/27
29	467.5
30	483.6	41/31
31	499.7
32	515.8	31/23
33	531.9
34	548.1	37/27
35	564.2	18/13
36	580.3	7/5
37	596.4	31/22
38	612.5
39	628.7
40	644.8
41	660.9	22/15
42	677	31/21, 37/25
43	693.1
44	709.3
45	725.4	35/23, 41/27
46	741.5	23/15
47	757.6
48	773.7
49	789.9	30/19
50	806	35/22
51	822.1	37/23
52	838.2
53	854.3	41/25
54	870.5
55	886.6	5/3
56	902.7	37/22
57	918.8	17/10
58	934.9
59	951
60	967.2
61	983.3	30/17, 37/21
62	999.4	41/23
63	1015.5	9/5
64	1031.6
65	1047.8
66	1063.9
67	1080	41/22
68	1096.1
69	1112.2	19/10
70	1128.4
71	1144.5
72	1160.6	41/21
73	1176.7
74	1192.8
75	1209
76	1225.1
77	1241.2
78	1257.3	31/15
79	1273.4
80	1289.6
81	1305.7
82	1321.8	15/7
83	1337.9	13/6
84	1354
85	1370.2
86	1386.3
87	1402.4
88	1418.5
89	1434.6
90	1450.8
91	1466.9	7/3

Harmonics

Approximation of harmonics in 91ed7/3

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-7.16	+0.14	+1.80	+2.35	-7.02	+0.14	-5.36	+0.28	-4.81	+7.50	+1.94
	Relative (%)	-44.4	+0.9	+11.2	+14.6	-43.5	+0.9	-33.3	+1.8	-29.8	+46.5	+12.0
Steps (reduced)		74 (74)	118 (27)	149 (58)	173 (82)	192 (10)	209 (27)	223 (41)	236 (54)	247 (65)	258 (76)	267 (85)

Approximation of harmonics in 91ed7/3

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-7.68	-7.02	+2.49	+3.60	-4.64	-6.88	-3.76	+4.15	+0.28	+0.34	+3.98
	Relative (%)	-47.6	-43.5	+15.5	+22.3	-28.8	-42.7	-23.3	+25.8	+1.8	+2.1	+24.7
Steps (reduced)		275 (2)	283 (10)	291 (18)	298 (25)	304 (31)	310 (37)	316 (43)	322 (49)	327 (54)	332 (59)	337 (64)