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	16.119
2	32.239
3	48.358
4	64.478
5	80.597	22/21
6	96.717	18/17, 37/35
7	112.836	31/29
8	128.956	14/13
9	145.075	25/23
10	161.195
11	177.314	41/37
12	193.434	19/17
13	209.553	35/31
14	225.672	33/29
15	241.792	31/27
16	257.911	29/25
17	274.031	41/35
18	290.15
19	306.27	37/31
20	322.389
21	338.509	17/14
22	354.628	27/22
23	370.748	31/25
24	386.867
25	402.987	29/23
26	419.106	37/29
27	435.225	9/7
28	451.345	35/27
29	467.464
30	483.584	41/31
31	499.703
32	515.823	31/23
33	531.942
34	548.062	37/27
35	564.181	18/13
36	580.301	7/5
37	596.42	31/22
38	612.539
39	628.659
40	644.778
41	660.898	22/15
42	677.017	31/21, 37/25
43	693.137
44	709.256
45	725.376	35/23, 41/27
46	741.495	23/15
47	757.615
48	773.734
49	789.854	30/19
50	805.973	35/22
51	822.092	37/23
52	838.212
53	854.331	41/25
54	870.451
55	886.57	5/3
56	902.69	37/22
57	918.809	17/10
58	934.929
59	951.048
60	967.168
61	983.287	30/17, 37/21
62	999.407	41/23
63	1015.526	9/5
64	1031.645
65	1047.765
66	1063.884
67	1080.004	41/22
68	1096.123
69	1112.243	19/10
70	1128.362
71	1144.482
72	1160.601	41/21
73	1176.721
74	1192.84
75	1208.96
76	1225.079
77	1241.198
78	1257.318	31/15
79	1273.437
80	1289.557
81	1305.676
82	1321.796	15/7
83	1337.915	13/6
84	1354.035
85	1370.154
86	1386.274
87	1402.393
88	1418.513
89	1434.632
90	1450.751
91	1466.871	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)