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
- EDT
- Relative errors of small ed-p's: