Relative errors of small EDOs

The following table shows relative errors of the first 9 prime harmonics for edos up to 99. There is no point for showing higher primes because no edo under 99 is consistent up to odd limits higher than 23. The relative errors of other intervals can be derived easily since they follow the additive rule.

EDO	Relative Errors (Percent)
	3/1	5/1	7/1	11/1	13/1	17/1	19/1	23/1
1	41.50	-32.19	19.26	-45.94	29.96	-8.75	-24.79	47.64
2	-16.99	35.61	38.53	8.11	-40.09	-17.49	-49.59	-4.71
3	24.51	3.42	-42.21	-37.83	-10.13	-26.24	25.62	42.93
4	-33.99	-28.77	-22.94	16.23	19.82	-34.99	0.83	-9.42
5	7.52	39.04	-3.68	-29.72	49.78	-43.73	-23.96	38.22
6	49.02	6.84	15.59	24.34	-20.26	47.52	-48.76	-14.14
7	-9.47	-25.35	34.85	-21.60	9.69	38.78	26.45	33.51
8	32.03	42.46	-45.88	32.45	39.65	30.03	1.66	-18.85
9	-26.47	10.26	-26.62	-13.49	-30.40	21.28	-23.13	28.79
10	15.04	-21.93	-7.35	40.57	-0.44	12.54	-47.93	-23.56
11	-43.46	45.88	11.91	-5.37	29.52	3.79	27.28	24.08
12	-1.96	13.69	31.17	48.68	-40.53	-4.96	2.49	-28.27
13	39.55	-18.51	-49.56	2.74	-10.57	-13.70	-22.31	19.37
14	-18.95	49.30	-30.30	-43.20	19.38	-22.45	-47.10	-32.99
15	22.56	17.11	-11.03	10.85	49.34	-31.19	28.11	14.66
16	-35.94	-15.08	8.23	-35.09	-20.70	-39.94	3.32	-37.70
17	5.56	-47.28	27.50	18.97	9.25	-48.69	-21.48	9.94
18	47.07	20.53	46.76	-26.98	39.21	42.57	-46.27	-42.41
19	-11.43	-11.66	-33.97	27.08	-30.84	33.82	28.94	5.23
20	30.07	-43.86	-14.71	-18.86	-0.88	25.07	4.14	-47.12
21	-28.42	23.95	4.55	35.19	29.08	16.33	-20.65	0.52
22	13.08	-8.24	23.82	-10.75	-40.97	7.58	-45.44	48.16
23	-45.41	-40.43	43.08	43.31	-11.01	-1.16	29.77	-4.19
24	-3.91	27.37	-37.65	-2.64	18.94	-9.91	4.97	43.45
25	37.59	-4.82	-18.39	-48.58	48.90	-18.66	-19.82	-8.90
26	-20.90	-37.01	0.88	5.48	-21.14	-27.40	-44.61	38.74
27	20.60	30.79	20.14	-40.47	8.81	-36.15	30.60	-13.62
28	-37.90	-1.40	39.41	13.59	38.77	-44.90	5.80	34.03
29	3.61	-33.59	-41.33	-32.35	-31.28	46.36	-18.99	-18.33
30	45.11	34.22	-22.06	21.71	-1.32	37.61	-43.78	29.31
31	-13.38	2.02	-2.80	-24.24	28.64	28.87	31.42	-23.04
32	28.12	-30.17	16.46	29.82	-41.41	20.12	6.63	24.60
33	-30.38	37.64	35.73	-16.12	-11.45	11.37	-18.16	-27.75
34	11.13	5.44	-45.01	37.93	18.50	2.63	-42.95	19.89
35	-47.37	-26.75	-25.74	-8.01	48.46	-6.12	32.25	-32.47
36	-5.87	41.06	-6.48	46.05	-21.58	-14.87	7.46	15.18
37	35.64	8.87	12.79	0.10	8.37	-23.61	-17.33	-37.18
38	-22.86	-23.33	32.05	-45.84	38.33	-32.36	-42.12	10.46
39	18.65	44.48	-48.68	8.22	-31.71	-41.11	33.08	-41.89
40	-39.85	12.29	-29.42	-37.73	-1.76	-49.85	8.29	5.75
41	1.65	-19.91	-10.16	16.33	28.20	41.40	-16.50	-46.60
42	43.16	47.90	9.11	-29.61	-41.85	32.66	-41.30	1.04
43	-15.34	15.71	28.37	24.44	-11.89	23.91	33.91	48.68
44	26.16	-16.48	47.64	-21.50	18.07	15.16	9.12	-3.67
45	-32.33	-48.68	-33.10	32.56	48.02	6.42	-15.67	43.97
46	9.17	19.13	-13.83	-13.39	-22.02	-2.33	-40.47	-8.38
47	-49.32	-13.06	5.43	40.67	7.93	-11.08	34.74	39.26
48	-7.82	-45.25	24.70	-5.27	37.89	-19.82	9.95	-13.10
49	33.68	22.55	43.96	48.79	-32.15	-28.57	-14.84	34.55
50	-24.81	-9.64	-36.77	2.84	-2.20	-37.31	-39.64	-17.81
51	16.69	-41.83	-17.51	-43.10	27.76	-46.06	35.57	29.83
52	-41.81	25.97	1.75	10.96	-42.29	45.19	10.78	-22.52
53	-0.30	-6.22	21.02	-34.99	-12.33	36.45	-14.02	25.12
54	41.20	-38.41	40.28	19.07	17.63	27.70	-38.81	-27.23
55	-17.29	29.40	-40.45	-26.87	47.58	18.95	36.40	20.41
56	24.21	-2.80	-21.19	27.18	-22.46	10.21	11.61	-31.95
57	-34.29	-34.99	-1.92	-18.76	7.49	1.46	-13.19	15.70
58	7.22	32.82	17.34	35.30	37.45	-7.28	-37.98	-36.66
59	48.72	0.62	36.61	-10.65	-32.59	-16.03	37.23	10.98
60	-9.78	-31.57	-44.13	43.41	-2.64	-24.78	12.43	-41.37
61	31.73	36.24	-24.87	-2.53	27.32	-33.52	-12.36	6.27
62	-26.77	4.05	-5.60	-48.48	-42.73	-42.27	-37.15	-46.08
63	14.74	-28.15	13.66	5.58	-12.77	48.98	38.06	1.56
64	-43.76	39.66	32.93	-40.36	17.19	40.24	13.26	49.20
65	-2.26	7.47	-47.81	13.69	47.14	31.49	-11.53	-3.15
66	39.25	-24.73	-28.54	-32.25	-22.90	22.75	-36.32	44.49
67	-19.25	43.08	-9.28	21.81	7.05	14.00	38.89	-7.87
68	22.25	10.89	9.99	-24.14	37.01	5.25	14.09	39.78
69	-36.24	-21.30	29.25	29.92	-33.03	-3.49	-10.70	-12.58
70	5.26	46.50	48.52	-16.02	-3.08	-12.24	-35.49	35.07
71	46.77	14.31	-32.22	38.04	26.88	-20.99	39.71	-17.29
72	-11.73	-17.88	-12.96	-7.91	-43.17	-29.73	14.92	30.35
73	29.77	49.92	6.31	46.15	-13.21	-38.48	-9.87	-22.00
74	-28.72	17.73	25.57	0.21	16.75	-47.23	-34.66	25.64
75	12.78	-14.46	44.84	-45.74	46.70	44.03	40.54	-26.71
76	-45.72	-46.65	-35.90	8.32	-23.34	35.28	15.75	20.93
77	-4.21	21.15	-16.63	-37.62	6.61	26.54	-9.04	-31.43
78	37.29	-11.04	2.63	16.43	36.57	17.79	-33.83	16.22
79	-21.20	-43.23	21.90	-29.51	-33.47	9.04	41.37	-36.14
80	20.30	24.58	41.16	24.55	-3.52	0.30	16.58	11.50
81	-38.20	-7.62	-39.57	-21.40	26.44	-8.45	-8.21	-40.85
82	3.31	-39.81	-20.31	32.66	-43.61	-17.20	-33.01	6.79
83	44.81	28.00	-1.05	-13.28	-13.65	-25.94	42.20	-45.56
84	-13.69	-4.20	18.22	40.77	16.31	-34.69	17.41	2.08
85	27.82	-36.39	37.48	-5.17	46.26	-43.43	-7.38	49.72
86	-30.68	31.42	-43.25	48.89	-23.78	47.82	-32.18	-2.63
87	10.83	-0.77	-23.99	2.94	6.17	39.07	43.03	45.01
88	-47.67	-32.97	-4.72	-43.00	36.13	30.33	18.24	-7.35
89	-6.17	34.84	14.54	11.06	-33.91	21.58	-6.55	40.30
90	35.34	2.65	33.81	-34.88	-3.96	12.83	-31.35	-12.06
91	-23.16	-29.55	-46.93	19.17	26.00	4.09	43.86	35.59
92	18.34	38.26	-27.67	-26.77	-44.05	-4.66	19.07	-16.77
93	-40.15	6.07	-8.40	27.29	-14.09	-13.40	-5.73	30.87
94	1.35	-26.12	10.86	-18.66	15.87	-22.15	-30.52	-21.48
95	42.86	41.68	30.13	35.40	45.82	-30.90	44.69	26.16
96	-15.64	9.49	49.39	-10.54	-24.22	-39.64	19.90	-26.19
97	25.86	-22.70	-31.34	43.51	5.73	-48.39	-4.90	21.45
98	-32.63	45.10	-12.08	-2.43	35.69	42.86	-29.69	-30.91
99	8.87	12.91	7.19	-48.37	-34.35	34.12	45.52	16.74

See also

• Relative errors of small ed-p's:
  • Relative errors of small EDTs
  • Relative errors of small EDFs
  • Relative errors of small ED5s
  • Relative errors of small ED6s
• Relative errors of small equal temperaments