Relative errors of small EDTs

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For more discussion, see Relative errors of small EDOs.

EDT Related
EDO*
Relative errors (percent)
2/1 5/1 7/1 11/1 13/1 17/1 19/1 23/1
1 36.91 −46.50 22.88 −18.27 −33.47 42.11 31.99 14.60
2 −26.19 7.01 45.75 −36.53 33.06 −15.78 −36.03 29.19
3 2 10.72 −39.49 −31.37 45.20 −0.42 26.33 −4.04 43.79
4 47.63 14.01 −8.50 26.94 −33.89 −31.56 27.94 −41.62
5 3 −15.46 −32.49 14.38 8.67 32.64 10.55 −40.07 −27.02
6 21.44 21.02 37.25 −9.60 −0.83 −47.34 −8.09 −12.43
7 −41.65 −25.48 −39.87 −27.86 −34.30 −5.23 23.90 2.17
8 5 −4.74 28.02 −16.99 −46.13 32.23 36.88 −44.12 16.76
9 32.16 −18.48 5.88 35.61 −1.25 −21.01 −12.13 31.36
10 −30.93 35.03 28.76 17.34 −34.72 21.10 19.86 45.95
11 7 5.98 −11.47 −48.37 −0.92 31.81 −36.79 −48.16 −39.45
12 42.88 42.03 −25.49 −19.19 −1.66 5.32 −16.17 −24.86
13 8 −20.21 −4.47 −2.62 −37.46 −35.13 47.43 15.81 −10.26
14 9 16.70 49.04 20.26 44.28 31.40 −10.46 47.80 4.33
15 −46.39 2.54 43.13 26.01 −2.08 31.65 −20.22 18.93
16 10 −9.49 −43.96 −33.99 7.75 −35.55 −26.24 11.77 33.52
17 27.42 9.55 −11.11 −10.52 30.98 15.87 43.76 48.12
18 −35.67 −36.95 11.76 −28.79 −2.49 −42.02 −24.26 −37.29
19 12 1.23 16.55 34.64 −47.05 −35.96 0.09 7.73 −22.69
20 38.14 −29.95 −42.49 34.68 30.56 42.20 39.71 −8.10
21 −24.95 23.56 −19.61 16.42 −2.91 −15.69 −28.30 6.50
22 14 11.95 −22.94 3.26 −1.85 −36.38 26.42 3.68 21.09
23 48.86 30.56 26.14 −20.11 30.15 −31.47 35.67 35.69
24 15 −14.23 −15.94 49.02 −38.38 −3.32 10.64 −32.35 −49.72
25 22.68 37.57 −28.11 43.35 −36.79 −47.25 −0.36 −35.12
26 −40.42 −8.93 −5.23 25.09 29.73 −5.15 31.63 −20.53
27 17 −3.51 44.57 17.64 6.82 −3.74 36.96 −36.39 −5.93
28 33.40 −1.93 40.52 −11.44 −37.21 −20.93 −4.40 8.66
29 −29.70 −48.42 −36.61 −29.71 29.32 21.18 27.58 23.26
30 19 7.21 5.08 −13.73 −47.98 −4.15 −36.71 −40.43 37.85
31 44.12 −41.42 9.14 33.76 −37.62 5.40 −8.45 −47.55
32 20 −18.98 12.08 32.02 15.49 28.90 47.51 23.54 −32.96
33 21 17.93 −34.41 −45.10 −2.77 −4.57 −10.38 −44.47 −18.36
34 −45.16 19.09 −22.23 −21.04 −38.04 31.73 −12.49 −3.77
35 22 −8.25 −27.41 0.65 −39.30 28.49 −26.16 19.50 10.83
36 28.65 26.10 23.52 42.43 −4.98 15.95 −48.52 25.42
37 −34.44 −20.40 46.40 24.16 −38.45 −41.94 −16.53 40.02
38 24 2.47 33.10 −30.73 5.90 28.07 0.17 15.45 −45.39
39 39.37 −13.40 −7.85 −12.37 −5.40 42.28 47.44 −30.79
40 −23.72 40.11 15.03 −30.63 −38.87 −15.61 −20.58 −16.20
41 26 13.19 −6.39 37.90 −48.90 27.66 26.50 11.41 −1.60
42 −49.90 47.11 −39.22 32.83 −5.81 −31.39 43.40 12.99
43 27 −13.00 0.61 −16.35 14.57 −39.29 10.72 −24.62 27.59
44 23.91 −45.88 6.53 −3.70 27.24 −47.17 7.37 42.18
45 −39.18 7.62 29.40 −21.96 −6.23 −5.06 39.35 −43.22
46 29 −2.28 −38.88 −47.72 −40.23 −39.70 37.05 −28.66 −28.63
47 34.63 14.62 −24.85 41.51 26.83 −20.84 3.32 −14.03
48 −28.46 −31.87 −1.97 23.24 −6.64 21.27 35.31 0.56
49 31 8.44 21.63 20.91 4.97 −40.12 −36.62 −32.70 15.16
50 45.35 −24.87 43.78 −13.29 26.41 5.49 −0.72 29.75
51 32 −17.74 28.64 −33.34 −31.56 −7.06 47.60 31.27 44.35
52 33 19.17 −17.86 −10.47 −49.82 −40.53 −10.29 −36.75 −41.06
53 −43.93 35.64 12.41 31.91 26.00 31.82 −4.76 −26.46
54 34 −7.02 −10.86 35.28 13.64 −7.47 −26.07 27.22 −11.87
55 29.89 42.65 −41.84 −4.62 −40.95 16.04 −40.79 2.73
56 −33.21 −3.85 −18.96 −22.89 25.58 −41.85 −8.81 17.32
57 36 3.70 49.65 3.91 −41.15 −7.89 0.26 23.18 31.92
58 40.61 3.15 26.79 40.58 −41.36 42.37 −44.83 46.51
59 −22.49 −43.34 49.66 22.32 25.17 −15.52 −12.85 −38.89
60 38 14.42 10.16 −27.46 4.05 −8.31 26.59 19.14 −24.30
61 −48.67 −36.34 −4.59 −14.22 −41.78 −31.30 −48.88 −9.70
62 39 −11.76 17.16 18.29 −32.48 24.75 10.81 −16.89 4.89
63 25.14 −29.33 41.16 49.25 −8.72 −47.08 15.09 19.49
64 −37.95 24.17 −35.96 30.99 −42.19 −4.97 47.08 34.08
65 41 −1.04 −22.33 −13.08 12.72 24.34 37.14 −20.94 48.68
66 35.86 31.17 9.79 −5.55 −9.14 −20.75 11.05 −36.73
67 −27.23 −15.32 32.67 −23.81 −42.61 21.36 43.04 −22.13
68 43 9.68 38.18 −44.46 −42.08 23.92 −36.53 −24.98 −7.54
69 46.58 −8.32 −21.58 39.66 −9.55 5.58 7.01 7.06
70 44 −16.51 45.19 1.29 21.39 −43.02 47.69 38.99 21.65
71 45 20.40 −1.31 24.17 3.13 23.51 −10.20 −29.02 36.25
72 −42.69 −47.81 47.05 −15.14 −9.97 31.91 2.96 −49.16
73 46 −5.79 5.69 −30.08 −33.41 −43.44 −25.98 34.95 −34.56
74 31.12 −40.80 −7.20 48.33 23.09 16.13 −33.06 −19.97
75 −31.97 12.70 15.67 30.06 −10.38 −41.76 −1.08 −5.37
76 48 4.93 −33.80 38.55 11.80 −43.85 0.35 30.91 9.22
77 41.84 19.70 −38.58 −6.47 22.68 42.46 −37.11 23.82
78 −21.25 −26.79 −15.70 −24.74 −10.80 −15.44 −5.12 38.41
79 50 15.65 26.71 7.17 −43.00 −44.27 26.67 26.86 −46.99
80 −47.44 −19.79 30.05 38.73 22.26 −31.22 −41.15 −32.40
81 51 −10.53 33.71 −47.07 20.47 −11.21 10.89 −9.17 −17.80
82 26.38 −12.78 −24.20 2.20 −44.68 −47.00 22.82 −3.21
83 −36.72 40.72 −1.32 −16.06 21.84 −4.89 −45.19 11.39
84 53 0.19 −5.78 21.55 −34.33 −11.63 37.22 −13.21 25.98
85 37.10 47.73 44.43 47.40 −45.10 −20.67 18.78 40.58
86 −26.00 1.23 −32.70 29.14 21.43 21.44 −49.24 −44.83
87 55 10.91 −45.27 −9.82 10.87 −12.04 −36.45 −17.25 −30.23
88 47.82 8.23 13.06 −7.39 −45.51 5.66 14.73 −15.64
89 56 −15.27 −38.26 35.93 −25.66 21.01 47.77 46.72 −1.04
90 21.63 15.24 −41.19 −43.93 −12.46 −10.12 −21.29 13.55
91 −41.46 −31.26 −18.32 37.81 −45.93 31.99 10.69 28.15
92 58 −4.55 22.24 4.56 19.54 20.60 −25.90 42.68 42.74
93 32.35 −24.25 27.43 1.28 −12.87 16.21 −25.34 −42.66
94 −30.74 29.25 −49.69 −16.99 −46.34 −41.68 6.65 −28.07
95 60 6.17 −17.25 −26.82 −35.25 20.18 0.43 38.63 −13.47
96 43.07 36.25 −3.94 46.48 −13.29 42.54 −29.38 1.12
97 61 −20.02 −10.24 18.94 28.21 −46.76 −15.35 2.60 15.72
98 62 16.89 43.26 41.81 9.95 19.77 26.76 34.59 30.31
99 −46.20 −3.24 −35.31 −8.32 −13.70 −31.13 −33.42 44.91
100 63 −9.30 −49.74 −12.44 −26.58 −47.18 10.98 −1.44 −40.50
101 27.61 3.77 10.44 −44.85 19.35 −46.91 30.55 −25.90
102 −35.48 −42.73 33.31 36.88 −14.12 −4.80 −37.47 −11.31
103 65 1.42 10.77 −43.81 18.62 −47.59 37.31 −5.48 3.29
104 38.33 −35.72 −20.93 0.35 18.94 −20.58 26.50 17.88
105 −24.76 17.78 1.94 −17.91 −14.53 21.53 −41.51 32.48
106 67 12.14 −28.72 24.82 −36.18 −48.01 −36.36 −9.52 47.07
107 49.05 24.78 47.69 45.56 18.52 5.75 22.46 −38.33
108 68 −14.04 −21.71 −29.43 27.29 −14.95 47.86 −45.55 −23.74
109 22.87 31.79 −6.56 9.02 −48.42 −10.03 −13.57 −9.14
110 −40.23 −14.71 16.32 −9.24 18.11 32.08 18.42 5.45
111 70 −3.32 38.79 39.19 −27.51 −15.36 −25.81 −49.60 20.05
112 33.59 −7.70 −37.93 −45.77 −48.84 16.30 −17.61 34.64
113 −29.51 45.80 −15.05 35.96 17.69 −41.59 14.37 49.24
114 72 7.40 −0.70 7.82 17.69 −15.78 0.52 46.36 −36.17
115 44.31 −47.20 30.70 −0.57 −49.25 42.63 −21.65 −21.57
116 73 −18.79 6.31 −46.43 −18.84 17.28 −15.26 10.33 −6.98
117 74 18.12 −40.19 −23.55 −37.10 −16.19 26.85 42.32 7.62
118 −44.97 13.31 −0.68 44.63 −49.67 −31.04 −25.70 22.21
119 75 −8.06 −33.18 22.20 26.37 16.86 11.07 6.29 36.81
120 28.84 20.32 45.08 8.10 −16.61 −46.82 38.27 −48.60
121 −34.25 −26.18 −32.05 −10.17 49.92 −4.71 −29.74 −34.00
122 77 2.66 27.32 −9.17 −28.43 16.45 37.40 2.24 −19.41
123 39.56 −19.17 13.70 −46.70 −17.03 −20.49 34.23 −4.81
124 −23.53 34.33 36.58 35.04 49.50 21.62 −33.78 9.78
125 79 13.38 −12.17 −40.55 16.77 16.03 −36.27 −1.80 24.38
126 −49.71 41.33 −17.67 −1.50 −17.44 5.84 30.19 38.97
127 80 −12.81 −5.16 5.20 −19.76 49.09 47.95 −37.83 −46.43
128 24.10 48.34 28.08 −38.03 15.62 −9.94 −5.84 −31.84
129 −38.99 1.84 −49.04 43.71 −17.86 32.17 26.14 −17.24
130 82 −2.09 −44.66 −26.17 25.44 48.67 −25.73 −41.87 −2.65
131 34.82 8.85 −3.29 7.18 15.20 16.38 −9.88 11.95
132 −28.27 −37.65 19.58 −11.09 −18.27 −41.51 22.10 26.54
133 84 8.63 15.85 42.46 −29.36 48.26 0.60 −45.91 41.14
134 45.54 −30.65 −34.67 −47.62 14.79 42.71 −13.93 −44.27
135 85 −17.55 22.86 −11.79 34.11 −18.69 −15.18 18.06 −29.67
136 86 19.36 −23.64 11.09 15.85 47.84 26.93 −49.96 −15.08
137 −43.74 29.86 33.96 −2.42 14.37 −30.96 −17.97 −0.48
138 87 −6.83 −16.63 −43.16 −20.69 −19.10 11.15 14.01 14.11
139 30.08 36.87 −20.29 −38.95 47.43 −46.74 46.00 28.71
140 −33.02 −9.63 2.59 42.78 13.95 −4.63 −22.01 43.30
141 89 3.89 43.87 25.46 24.52 −19.52 37.48 9.97 −42.10
142 40.80 −2.62 48.34 6.25 47.01 −20.41 41.96 −27.51
143 −22.30 −49.12 −28.79 −12.01 13.54 21.70 −26.06 −12.91
144 91 14.61 4.38 −5.91 −30.28 −19.93 −36.19 5.93 1.68
145 −48.48 −42.12 16.97 −48.55 46.60 5.92 37.91 16.28
146 92 −11.57 11.39 39.84 33.19 13.12 48.03 −30.10 30.87
147 25.33 −35.11 −37.28 14.92 −20.35 −9.86 1.89 45.47
148 −37.76 18.39 −14.41 −3.34 46.18 32.25 33.87 −39.94
149 94 −0.85 −28.11 8.47 −21.61 12.71 −25.64 −34.14 −25.34
150 36.05 25.40 31.34 −39.88 −20.76 16.47 −2.16 −10.75
151 −27.04 −21.10 −45.78 41.86 45.77 −41.42 29.83 3.85
152 96 9.87 32.40 −22.90 23.59 12.29 0.69 −38.19 18.44
153 46.77 −14.09 −0.03 5.33 −21.18 42.80 −6.20 33.04
154 97 −16.32 39.41 22.85 −12.94 45.35 −15.09 25.78 47.63
155 98 20.59 −7.09 45.72 −31.20 11.88 27.02 −42.23 −37.77
156 −42.50 46.41 −31.40 −49.47 −21.59 −30.87 −10.24 −23.18
157 99 −5.60 −0.08 −8.53 32.26 44.93 11.24 21.74 −8.58

* EDO with relative error of third harmonic below 1/3

See also