Relative errors of small EDOs: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
VisualWikitext
A WIP article
 
 
(30 intermediate revisions by 8 users not shown)
Line 1: Line 1:
= (WIP) Relative Errors of Small Edos =
The following table shows [[relative error]]s of the first 9 prime harmonics for [[edo]]s 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 [[Relative interval error #Computation|additive rule]].


The relative error of an interval in an edo is the error approximating JI divided by the size of a single step. The formula: ''error''(''r'') = round (''n'' log<sub>2</sub>''r'') - ''n'' log<sub>2</sub>''r'', where ''n'' is the edo number and ''r'' is the frequency ratio. By definition, the relative error ranges from -0.5 to +0.5.  
{| class="wikitable sortable mw-collapsible" style="text-align:right"
 
! rowspan="2" | EDO
This article lists relative errors of the first 9 prime harmonies for edos up to 99. For other intervals, the relative error follows the additive rule (on condition of consistency), that is, if ''r''<sub>3</sub> = ''r''<sub>1</sub>''r''<sub>2</sub>, then error (''r''<sub>3</sub>) = error (''r''<sub>1</sub>) + error (''r''<sub>2</sub>), so they can be derived easily.  
! colspan="8" | Relative Errors (Percent)
 
|-
Bolded are relative errors lower than 0.2.  
!  3/1
{| class="wikitable sortable"
!  5/1
! rowspan="2" |Edo
!  7/1
! colspan="9" |Relative Errors (Permille)
! 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
|-
|-
!2/1
| 75
!3/1
|  12.78
!5/1
| -14.46
!7/1
|  44.84
!11/1
| -45.74
!13/1
|  46.70
!17/1
|  44.03
!19/1
|  40.54
!23/1
| -26.71
|-
|-
|1
| 76
|'''0.0'''
| -45.72
|415.0
| -46.65
| -321.9
| -35.90
|'''192.6'''
|   8.32
| -459.4
| -23.34
|299.6
| 35.28
|'''-87.5'''
| 15.75
| -247.9
| 20.93
|476.4
|-
|-
|2
| 77
|'''0.0'''
| -4.21
|'''-169.9'''
| 21.15
|356.1
| -16.63
|385.3
| -37.62
|'''81.1'''
|   6.61
| -400.9
| 26.54
|'''-174.9'''
| -9.04
| -495.9
| -31.43
|'''47.1'''
|-
|-
|3
| 78
|'''0.0'''
| 37.29
|245.1
| -11.04
|'''34.2'''
|   2.63
| -422.1
| 16.43
| -378.3
| 36.57
|'''-101.3'''
| 17.79
| -262.4
| -33.83
|256.2
| 16.22
|429.3
|-
|-
|4
| 79
|'''0.0'''
| -21.20
| -339.9
| -43.23
| -287.7
| 21.90
| -229.4
| -29.51
|'''162.3'''
| -33.47
|'''198.2'''
|   9.04
| -349.9
| 41.37
|'''8.3'''
| -36.14
|'''94.2'''
|-
|-
|5
| 80
|'''0.0'''
| 20.30
|'''75.2'''
| 24.58
|390.4
| 41.16
|'''-36.8'''
| 24.55
| -297.2
| -3.52
|497.8
|   0.30
| -437.3
| 16.58
| -239.6
| 11.50
|382.2
|-
|-
|6
| 81
|'''0.0'''
| -38.20
|490.2
| -7.62
|'''68.4'''
| -39.57
|'''155.9'''
| -21.40
|243.4
| 26.44
| -202.6
| -8.45
|475.2
| -8.21
| -487.6
| -40.85
|'''-141.4'''
|-
|-
|7
| 82
|'''0.0'''
|   3.31
|'''-94.7'''
| -39.81
| -253.5
| -20.31
|348.5
| 32.66
| -216.0
| -43.61
|'''96.9'''
| -17.20
|387.8
| -33.01
|264.5
|   6.79
|335.1
|-
|-
|8
| 83
|'''0.0'''
| 44.81
|320.3
| 28.00
|424.6
| -1.05
| -458.8
| -13.28
|324.5
| -13.65
|396.5
| -25.94
|300.3
| 42.20
|'''16.6'''
| -45.56
|'''-188.5'''
|-
|-
|9
| 84
|'''0.0'''
| -13.69
| -264.7
| -4.20
|'''102.6'''
| 18.22
| -266.2
| 40.77
|'''-134.9'''
| 16.31
| -304.0
| -34.69
|212.8
| 17.41
| -231.3
|   2.08
|287.9
|-
|-
|10
| 85
|'''0.0'''
| 27.82
|'''150.4'''
| -36.39
| -219.3
| 37.48
|'''-73.5'''
| -5.17
|405.7
| 46.26
|'''-4.4'''
| -43.43
|'''125.4'''
| -7.38
| -479.3
| 49.72
| -235.6
|-
|-
|11
| 86
|'''0.0'''
| -30.68
| -434.6
| 31.42
|458.8
| -43.25
|'''119.1'''
| 48.89
|'''-53.7'''
| -23.78
|295.2
| 47.82
|'''37.9'''
| -32.18
|272.8
| -2.63
|240.8
|-
|-
|12
| 87
|'''0.0'''
| 10.83
|'''-19.6'''
| -0.77
|'''136.9'''
| -23.99
|311.7
|   2.94
|486.8
|   6.17
| -405.3
| 39.07
|'''-49.6'''
| 43.03
|'''24.9'''
| 45.01
|282.7
|-
|-
|13
| 88
|'''0.0'''
| -47.67
|395.5
| -32.97
|'''-185.1'''
| -4.72
| -495.6
| -43.00
|'''27.4'''
| 36.13
|'''-105.7'''
| 30.33
|'''-137.0'''
| 18.24
| -223.1
| -7.35
|'''193.7'''
|-
|-
|14
| 89
|'''0.0'''
| -6.17
|'''-189.5'''
| 34.84
|493.0
| 14.54
| -303.0
| 11.06
| -432.0
| -33.91
|'''193.8'''
| 21.58
| -224.5
| -6.55
| -471.0
| 40.30
| -329.9
|-
|-
|15
| 90
|'''0.0'''
| 35.34
|225.6
|   2.65
|'''171.1'''
| 33.81
|'''-110.3'''
| -34.88
|'''108.5'''
| -3.96
|493.4
| 12.83
| -311.9
| -31.35
|281.1
| -12.06
|'''146.6'''
|-
|-
|16
| 91
|'''0.0'''
| -23.16
| -359.4
| -29.55
|'''-150.8'''
| -46.93
|'''82.3'''
| 19.17
| -350.9
| 26.00
| -207.0
|   4.09
| -399.4
| 43.86
|'''33.2'''
| 35.59
| -377.0
|-
|-
|17
| 92
|'''0.0'''
| 18.34
|'''55.6'''
| 38.26
| -472.8
| -27.67
|275.0
| -26.77
|'''189.7'''
| -44.05
|'''92.5'''
| -4.66
| -486.9
| 19.07
| -214.8
| -16.77
|'''99.4'''
|-
|-
|18
| 93
|'''0.0'''
| -40.15
|470.7
|   6.07
|205.3
| -8.40
|467.6
| 27.29
| -269.8
| -14.09
|392.1
| -13.40
|425.7
| -5.73
| -462.7
| 30.87
| -424.1
|-
|-
|19
| 94
|'''0.0'''
|   1.35
|'''-114.3'''
| -26.12
|'''-116.6'''
| 10.86
| -339.7
| -18.66
|270.8
| 15.87
| -308.4
| -22.15
|338.2
| -30.52
|289.4
| -21.48
|'''52.3'''
|-
|-
|20
| 95
|'''0.0'''
| 42.86
|300.7
| 41.68
| -438.6
| 30.13
|'''-147.1'''
| 35.40
|'''-188.6'''
| 45.82
|'''-8.8'''
| -30.90
|250.7
| 44.69
|'''41.4'''
| 26.16
|471.2
|-
|-
|21
| 96
|'''0.0'''
| -15.64
| -284.2
|   9.49
|239.5
| 49.39
|'''45.5'''
| -10.54
|351.9
| -24.22
|290.8
| -39.64
|'''163.3'''
| 19.90
| -206.5
| -26.19
|'''5.2'''
|-
|-
|22
| 97
|'''0.0'''
| 25.86
|'''130.8'''
| -22.70
|'''-82.4'''
| -31.34
|238.2
| 43.51
|'''-107.5'''
|   5.73
| -409.7
| -48.39
|'''75.8'''
| -4.90
| -454.4
| 21.45
|481.6
|-
|-
|23
| 98
|'''0.0'''
| -32.63
| -454.1
| 45.10
| -404.3
| -12.08
|430.8
| -2.43
|433.1
| 35.69
|'''-110.1'''
| 42.86
|'''-11.6'''
| -29.69
|297.7
| -30.91
|'''-41.9'''
|-
|-
|24
| 99
|'''0.0'''
|   8.87
|'''-39.1'''
| 12.91
|273.7
|   7.19
| -376.5
| -48.37
|'''-26.4'''
| -34.35
|189.4
| 34.12
|'''-99.1'''
| 45.52
|'''49.7'''
| 16.74
|434.5
|}
|}
== See also ==
* Relative errors of small ed-''p''<span/>'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]]
[[Category:EDO theory pages]]
[[Category:Tables]]

Latest revision as of 09:46, 19 May 2024

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

Retrieved from "https://en.xen.wiki/index.php?title=Relative_errors_of_small_EDOs&oldid=143596"