Relative errors of small EDOs: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Replace old table with TE simple badness
No edit summary
Line 8: Line 8:
{| class="wikitable sortable mw-collapsible" style="text-align:right"
{| class="wikitable sortable mw-collapsible" style="text-align:right"
! rowspan="2" | Edo
! rowspan="2" | Edo
! colspan="9" | Relative Errors (Percent)
! colspan="8" |Relative Errors (Percent)
|-
|-
!  2/1
!  3/1
!  3/1
!  5/1
!  5/1
Line 21: Line 20:
|-
|-
|  1
|  1
|  0.00
|  41.50
|  41.50
| -32.19
| -32.19
Line 32: Line 30:
|-
|-
|  2
|  2
|  0.00
| -16.99
| -16.99
|  35.61
|  35.61
Line 43: Line 40:
|-
|-
|  3
|  3
|  0.00
|  24.51
|  24.51
|  3.42
|  3.42
Line 54: Line 50:
|-
|-
|  4
|  4
|  0.00
| -33.99
| -33.99
| -28.77
| -28.77
Line 65: Line 60:
|-
|-
|  5
|  5
|  0.00
|  7.52
|  7.52
|  39.04
|  39.04
Line 76: Line 70:
|-
|-
|  6
|  6
|  0.00
|  49.02
|  49.02
|  6.84
|  6.84
Line 87: Line 80:
|-
|-
|  7
|  7
|  0.00
|  -9.47
|  -9.47
| -25.35
| -25.35
Line 98: Line 90:
|-
|-
|  8
|  8
|  0.00
|  32.03
|  32.03
|  42.46
|  42.46
Line 109: Line 100:
|-
|-
|  9
|  9
|  0.00
| -26.47
| -26.47
|  10.26
|  10.26
Line 120: Line 110:
|-
|-
| 10
| 10
|  0.00
|  15.04
|  15.04
| -21.93
| -21.93
Line 131: Line 120:
|-
|-
| 11
| 11
|  0.00
| -43.46
| -43.46
|  45.88
|  45.88
Line 142: Line 130:
|-
|-
| 12
| 12
|  0.00
|  -1.96
|  -1.96
|  13.69
|  13.69
Line 153: Line 140:
|-
|-
| 13
| 13
|  0.00
|  39.55
|  39.55
| -18.51
| -18.51
Line 164: Line 150:
|-
|-
| 14
| 14
|  0.00
| -18.95
| -18.95
|  49.30
|  49.30
Line 175: Line 160:
|-
|-
| 15
| 15
|  0.00
|  22.56
|  22.56
|  17.11
|  17.11
Line 186: Line 170:
|-
|-
| 16
| 16
|  0.00
| -35.94
| -35.94
| -15.08
| -15.08
Line 197: Line 180:
|-
|-
| 17
| 17
|  0.00
|  5.56
|  5.56
| -47.28
| -47.28
Line 208: Line 190:
|-
|-
| 18
| 18
|  0.00
|  47.07
|  47.07
|  20.53
|  20.53
Line 219: Line 200:
|-
|-
| 19
| 19
|  0.00
| -11.43
| -11.43
| -11.66
| -11.66
Line 230: Line 210:
|-
|-
| 20
| 20
|  0.00
|  30.07
|  30.07
| -43.86
| -43.86
Line 241: Line 220:
|-
|-
| 21
| 21
|  0.00
| -28.42
| -28.42
|  23.95
|  23.95
Line 252: Line 230:
|-
|-
| 22
| 22
|  0.00
|  13.08
|  13.08
|  -8.24
|  -8.24
Line 263: Line 240:
|-
|-
| 23
| 23
|  0.00
| -45.41
| -45.41
| -40.43
| -40.43
Line 274: Line 250:
|-
|-
| 24
| 24
|  0.00
|  -3.91
|  -3.91
|  27.37
|  27.37
Line 285: Line 260:
|-
|-
| 25
| 25
|  0.00
|  37.59
|  37.59
|  -4.82
|  -4.82
Line 296: Line 270:
|-
|-
| 26
| 26
|  0.00
| -20.90
| -20.90
| -37.01
| -37.01
Line 307: Line 280:
|-
|-
| 27
| 27
|  0.00
|  20.60
|  20.60
|  30.79
|  30.79
Line 318: Line 290:
|-
|-
| 28
| 28
|  0.00
| -37.90
| -37.90
|  -1.40
|  -1.40
Line 329: Line 300:
|-
|-
| 29
| 29
|  0.00
|  3.61
|  3.61
| -33.59
| -33.59
Line 340: Line 310:
|-
|-
| 30
| 30
|  0.00
|  45.11
|  45.11
|  34.22
|  34.22
Line 351: Line 320:
|-
|-
| 31
| 31
|  0.00
| -13.38
| -13.38
|  2.02
|  2.02
Line 362: Line 330:
|-
|-
| 32
| 32
|  0.00
|  28.12
|  28.12
| -30.17
| -30.17
Line 373: Line 340:
|-
|-
| 33
| 33
|  0.00
| -30.38
| -30.38
|  37.64
|  37.64
Line 384: Line 350:
|-
|-
| 34
| 34
|  0.00
|  11.13
|  11.13
|  5.44
|  5.44
Line 395: Line 360:
|-
|-
| 35
| 35
|  0.00
| -47.37
| -47.37
| -26.75
| -26.75
Line 406: Line 370:
|-
|-
| 36
| 36
|  0.00
|  -5.87
|  -5.87
|  41.06
|  41.06
Line 417: Line 380:
|-
|-
| 37
| 37
|  0.00
|  35.64
|  35.64
|  8.87
|  8.87
Line 428: Line 390:
|-
|-
| 38
| 38
|  0.00
| -22.86
| -22.86
| -23.33
| -23.33
Line 439: Line 400:
|-
|-
| 39
| 39
|  0.00
|  18.65
|  18.65
|  44.48
|  44.48
Line 450: Line 410:
|-
|-
| 40
| 40
|  0.00
| -39.85
| -39.85
|  12.29
|  12.29
Line 461: Line 420:
|-
|-
| 41
| 41
|  0.00
|  1.65
|  1.65
| -19.91
| -19.91
Line 472: Line 430:
|-
|-
| 42
| 42
|  0.00
|  43.16
|  43.16
|  47.90
|  47.90
Line 483: Line 440:
|-
|-
| 43
| 43
|  0.00
| -15.34
| -15.34
|  15.71
|  15.71
Line 494: Line 450:
|-
|-
| 44
| 44
|  0.00
|  26.16
|  26.16
| -16.48
| -16.48
Line 505: Line 460:
|-
|-
| 45
| 45
|  0.00
| -32.33
| -32.33
| -48.68
| -48.68
Line 516: Line 470:
|-
|-
| 46
| 46
|  0.00
|  9.17
|  9.17
|  19.13
|  19.13
Line 527: Line 480:
|-
|-
| 47
| 47
|  0.00
| -49.32
| -49.32
| -13.06
| -13.06
Line 538: Line 490:
|-
|-
| 48
| 48
|  0.00
|  -7.82
|  -7.82
| -45.25
| -45.25
Line 549: Line 500:
|-
|-
| 49
| 49
|  0.00
|  33.68
|  33.68
|  22.55
|  22.55
Line 560: Line 510:
|-
|-
| 50
| 50
|  0.00
| -24.81
| -24.81
|  -9.64
|  -9.64
Line 571: Line 520:
|-
|-
| 51
| 51
|  0.00
|  16.69
|  16.69
| -41.83
| -41.83
Line 582: Line 530:
|-
|-
| 52
| 52
|  0.00
| -41.81
| -41.81
|  25.97
|  25.97
Line 593: Line 540:
|-
|-
| 53
| 53
|  0.00
|  -0.30
|  -0.30
|  -6.22
|  -6.22
Line 604: Line 550:
|-
|-
| 54
| 54
|  0.00
|  41.20
|  41.20
| -38.41
| -38.41
Line 615: Line 560:
|-
|-
| 55
| 55
|  0.00
| -17.29
| -17.29
|  29.40
|  29.40
Line 626: Line 570:
|-
|-
| 56
| 56
|  0.00
|  24.21
|  24.21
|  -2.80
|  -2.80
Line 637: Line 580:
|-
|-
| 57
| 57
|  0.00
| -34.29
| -34.29
| -34.99
| -34.99
Line 648: Line 590:
|-
|-
| 58
| 58
|  0.00
|  7.22
|  7.22
|  32.82
|  32.82
Line 659: Line 600:
|-
|-
| 59
| 59
|  0.00
|  48.72
|  48.72
|  0.62
|  0.62
Line 670: Line 610:
|-
|-
| 60
| 60
|  0.00
|  -9.78
|  -9.78
| -31.57
| -31.57
Line 681: Line 620:
|-
|-
| 61
| 61
|  0.00
|  31.73
|  31.73
|  36.24
|  36.24
Line 692: Line 630:
|-
|-
| 62
| 62
|  0.00
| -26.77
| -26.77
|  4.05
|  4.05
Line 703: Line 640:
|-
|-
| 63
| 63
|  0.00
|  14.74
|  14.74
| -28.15
| -28.15
Line 714: Line 650:
|-
|-
| 64
| 64
|  0.00
| -43.76
| -43.76
|  39.66
|  39.66
Line 725: Line 660:
|-
|-
| 65
| 65
|  0.00
|  -2.26
|  -2.26
|  7.47
|  7.47
Line 736: Line 670:
|-
|-
| 66
| 66
|  0.00
|  39.25
|  39.25
| -24.73
| -24.73
Line 747: Line 680:
|-
|-
| 67
| 67
|  0.00
| -19.25
| -19.25
|  43.08
|  43.08
Line 758: Line 690:
|-
|-
| 68
| 68
|  0.00
|  22.25
|  22.25
|  10.89
|  10.89
Line 769: Line 700:
|-
|-
| 69
| 69
|  0.00
| -36.24
| -36.24
| -21.30
| -21.30
Line 780: Line 710:
|-
|-
| 70
| 70
|  0.00
|  5.26
|  5.26
|  46.50
|  46.50
Line 791: Line 720:
|-
|-
| 71
| 71
|  0.00
|  46.77
|  46.77
|  14.31
|  14.31
Line 802: Line 730:
|-
|-
| 72
| 72
|  0.00
| -11.73
| -11.73
| -17.88
| -17.88
Line 813: Line 740:
|-
|-
| 73
| 73
|  0.00
|  29.77
|  29.77
|  49.92
|  49.92
Line 824: Line 750:
|-
|-
| 74
| 74
|  0.00
| -28.72
| -28.72
|  17.73
|  17.73
Line 835: Line 760:
|-
|-
| 75
| 75
|  0.00
|  12.78
|  12.78
| -14.46
| -14.46
Line 846: Line 770:
|-
|-
| 76
| 76
|  0.00
| -45.72
| -45.72
| -46.65
| -46.65
Line 857: Line 780:
|-
|-
| 77
| 77
|  0.00
|  -4.21
|  -4.21
|  21.15
|  21.15
Line 868: Line 790:
|-
|-
| 78
| 78
|  0.00
|  37.29
|  37.29
| -11.04
| -11.04
Line 879: Line 800:
|-
|-
| 79
| 79
|  0.00
| -21.20
| -21.20
| -43.23
| -43.23
Line 890: Line 810:
|-
|-
| 80
| 80
|  0.00
|  20.30
|  20.30
|  24.58
|  24.58
Line 901: Line 820:
|-
|-
| 81
| 81
|  0.00
| -38.20
| -38.20
|  -7.62
|  -7.62
Line 912: Line 830:
|-
|-
| 82
| 82
|  0.00
|  3.31
|  3.31
| -39.81
| -39.81
Line 923: Line 840:
|-
|-
| 83
| 83
|  0.00
|  44.81
|  44.81
|  28.00
|  28.00
Line 934: Line 850:
|-
|-
| 84
| 84
|  0.00
| -13.69
| -13.69
|  -4.20
|  -4.20
Line 945: Line 860:
|-
|-
| 85
| 85
|  0.00
|  27.82
|  27.82
| -36.39
| -36.39
Line 956: Line 870:
|-
|-
| 86
| 86
|  0.00
| -30.68
| -30.68
|  31.42
|  31.42
Line 967: Line 880:
|-
|-
| 87
| 87
|  0.00
|  10.83
|  10.83
|  -0.77
|  -0.77
Line 978: Line 890:
|-
|-
| 88
| 88
|  0.00
| -47.67
| -47.67
| -32.97
| -32.97
Line 989: Line 900:
|-
|-
| 89
| 89
|  0.00
|  -6.17
|  -6.17
|  34.84
|  34.84
Line 1,000: Line 910:
|-
|-
| 90
| 90
|  0.00
|  35.34
|  35.34
|  2.65
|  2.65
Line 1,011: Line 920:
|-
|-
| 91
| 91
|  0.00
| -23.16
| -23.16
| -29.55
| -29.55
Line 1,022: Line 930:
|-
|-
| 92
| 92
|  0.00
|  18.34
|  18.34
|  38.26
|  38.26
Line 1,033: Line 940:
|-
|-
| 93
| 93
|  0.00
| -40.15
| -40.15
|  6.07
|  6.07
Line 1,044: Line 950:
|-
|-
| 94
| 94
|  0.00
|  1.35
|  1.35
| -26.12
| -26.12
Line 1,055: Line 960:
|-
|-
| 95
| 95
|  0.00
|  42.86
|  42.86
|  41.68
|  41.68
Line 1,066: Line 970:
|-
|-
| 96
| 96
|  0.00
| -15.64
| -15.64
|  9.49
|  9.49
Line 1,077: Line 980:
|-
|-
| 97
| 97
|  0.00
|  25.86
|  25.86
| -22.70
| -22.70
Line 1,088: Line 990:
|-
|-
| 98
| 98
|  0.00
| -32.63
| -32.63
|  45.10
|  45.10
Line 1,099: Line 1,000:
|-
|-
| 99
| 99
|  0.00
|  8.87
|  8.87
|  12.91
|  12.91

Revision as of 01:57, 25 September 2020

This article contains two lists. The first 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 them. For other intervals, the relative error follows the additive rule, so they can be derived easily.

The second shows the TE simple badnesses aka relative errors in a certain JI subgroup for edos up to 99.

List of relative errors of prime harmonics for small edos

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

List of TE simple badnesses for small edos

Notes:

  1. Patent val mapping is used throughout.
  2. Each edo is TE-optimally stretched.
  3. Graham Breed's definition is used, scaled by 100.
Edo TE simple badness × 100
3 Limit 5 Limit 7 Limit 11 Limit 13 Limit 17 Limit 19 Limit 23 Limit
1 13.09 16.61 14.43 14.79 13.75 12.83 12.25 11.95
2 5.36 10.69 10.66 9.58 10.37 9.82 10.07 9.50
3 7.73 6.97 10.80 10.68 9.76 9.17 9.04 9.20
4 10.72 8.79 7.73 9.20 9.67 9.02 8.67 8.22
5 2.37 7.08 7.15 8.41 8.72 9.61 9.34 9.11
6 15.46 13.94 12.32 11.08 11.52 10.79 11.89 11.51
7 2.99 4.46 8.72 8.06 7.57 7.97 7.72 7.55
8 10.10 9.11 14.89 13.41 12.35 11.44 10.92 10.81
9 8.35 9.09 8.21 7.37 6.83 7.37 6.91 7.32
10 4.74 7.73 6.79 7.83 7.19 6.68 7.58 7.34
11 13.71 19.34 17.01 15.22 14.29 13.23 12.52 11.88
12 0.62 3.11 4.94 5.99 8.35 7.88 7.40 7.47
13 12.48 14.02 15.79 14.13 12.94 12.03 11.34 10.84
14 5.98 13.72 13.32 12.86 12.12 11.31 10.99 10.44
15 7.12 5.81 6.97 6.25 6.65 7.73 7.29 6.88
16 11.34 9.53 9.91 8.98 8.22 7.67 7.67 7.26
17 1.76 10.52 11.30 10.51 9.65 9.88 9.32 8.88
18 14.85 12.45 10.91 13.03 11.90 11.02 12.37 12.77
19 3.61 3.02 4.35 6.79 6.47 7.40 7.56 7.17
20 9.49 15.46 13.58 12.26 11.21 10.75 10.07 9.99
21 8.97 11.67 10.27 10.30 9.76 9.06 8.80 8.31
22 4.13 4.94 5.23 5.33 6.89 6.42 6.99 7.57
23 14.33 11.79 16.76 17.03 15.55 14.44 13.91 13.12
24 1.23 6.22 8.95 8.01 7.66 7.14 6.70 7.02
25 11.86 11.70 11.76 12.70 12.57 11.89 11.30 10.68
26 6.59 6.96 7.43 7.51 6.86 6.37 6.17 7.45
27 6.50 6.19 5.40 9.37 8.58 9.13 8.70 8.41
28 11.95 11.13 13.62 12.46 12.19 12.00 11.25 10.92
29 1.14 7.41 7.91 7.15 6.54 8.94 8.36 7.89
30 14.23 11.62 13.94 12.51 11.87 11.02 11.82 11.15
31 4.22 4.20 3.70 3.84 5.35 5.75 5.93 5.89
32 8.87 12.60 11.07 10.18 10.85 10.13 9.47 9.00
33 9.58 14.46 13.86 12.72 11.71 10.87 10.30 9.91
34 3.51 2.92 8.67 9.26 8.59 7.96 8.36 8.01
35 14.94 12.31 10.85 10.54 13.06 12.22 12.27 11.61
36 1.85 9.33 8.63 8.76 8.96 8.63 8.08 7.62
37 11.24 9.82 8.70 8.37 7.78 8.21 8.13 8.42
38 7.21 6.04 9.96 9.76 10.64 10.02 9.62 9.30
39 5.88 7.89 13.78 12.34 12.08 11.86 11.42 11.21
40 12.57 13.28 11.62 10.48 9.99 9.43 9.38 9.18
41 0.52 4.31 3.76 4.51 5.29 6.00 5.90 6.59
42 13.61 11.60 11.45 13.33 14.24 13.22 13.36 12.64
43 4.84 6.75 7.56 7.08 6.85 6.49 6.35 6.45
44 8.25 9.89 10.45 10.66 9.74 9.02 8.46 8.11
45 10.20 9.75 8.49 11.84 13.50 12.72 11.90 12.03
46 2.89 3.45 5.12 5.20 5.42 5.02 5.62 5.30
47 15.56 13.54 13.24 14.39 13.38 12.39 12.20 11.98
48 2.47 8.27 10.25 9.22 9.84 9.20 8.71 8.23
49 10.63 8.69 7.87 7.11 10.12 10.85 10.67 10.09
50 7.83 6.62 6.39 6.76 6.54 6.19 5.90 5.62
51 5.27 11.79 10.34 9.93 10.23 9.89 10.15 10.01
52 13.19 15.75 13.86 12.69 12.08 12.33 11.62 11.02
53 0.10 1.22 3.81 5.65 5.22 6.05 5.76 5.75
54 13.00 17.51 15.92 14.24 13.01 12.05 12.31 12.02
55 5.46 9.63 10.57 9.63 10.83 10.23 10.02 9.52
56 7.64 7.50 8.38 7.90 7.95 7.37 6.90 7.07
57 10.82 9.06 9.30 8.47 8.68 8.41 7.92 7.98
58 2.28 5.89 5.10 4.83 4.56 5.33 7.07 7.72
59 15.37 14.43 12.55 12.56 13.10 12.56 11.85 11.19
60 3.08 5.56 6.23 10.22 9.44 8.77 8.54 8.26
61 10.01 8.59 11.66 10.84 9.93 10.38 9.95 9.39
62 8.44 8.40 7.40 7.67 7.28 6.83 6.40 6.09
63 4.65 8.77 8.00 7.17 6.73 7.50 7.41 7.03
64 13.80 18.41 17.26 16.16 14.96 14.36 13.46 13.07
65 0.71 1.94 7.82 7.65 8.94 8.68 8.23 7.77
66 12.38 14.83 14.37 13.50 12.47 11.84 11.36 11.32
67 6.07 12.62 11.18 10.24 9.35 8.67 8.44 8.10
68 7.02 5.84 5.19 6.84 6.75 6.34 5.93 5.81
69 11.43 9.40 12.23 12.30 11.48 10.67 9.98 9.41
70 1.66 8.76 8.63 9.73 9.37 9.21 9.62 9.20
71 14.75 12.71 14.95 13.52 12.34 12.20 11.49 11.25
72 3.70 3.56 3.09 2.96 3.82 3.59 4.57 5.60
73 9.39 9.56 9.59 8.65 9.62 10.93 10.60 10.47
74 9.06 10.80 10.83 9.69 9.02 9.36 9.06 8.88
75 4.03 5.85 8.36 10.29 10.36 9.98 9.51 9.57
76 14.42 12.07 10.57 11.84 11.01 12.28 12.13 11.98
77 1.33 5.04 5.59 6.66 6.25 6.42 6.03 6.03
78 11.76 12.37 10.95 9.80 9.14 8.47 9.09 8.57
79 6.69 7.84 10.49 9.43 8.66 8.64 9.55 9.10
80 6.40 5.59 5.68 5.17 6.01 6.12 5.78 5.56
81 12.05 10.67 9.49 8.65 10.05 9.45 8.94 8.50
82 1.04 8.62 7.52 9.02 8.92 8.26 7.82 7.62
83 14.14 11.58 11.68 11.82 11.53 11.44 10.90 11.25
84 4.32 3.72 5.39 7.02 6.50 7.05 6.70 6.32
85 8.78 13.57 12.98 11.80 11.37 11.76 11.08 10.84
86 9.68 13.50 13.06 14.03 12.95 12.94 12.35 11.64
87 3.42 3.30 5.45 4.90 4.53 5.35 5.77 5.92
88 15.04 12.29 12.05 10.79 12.68 12.94 12.56 11.88
89 1.95 8.15 7.08 6.35 7.57 7.12 6.77 6.77
90 11.15 10.25 9.07 11.10 10.39 9.62 9.75 9.33
91 7.31 6.49 6.51 8.82 9.74 9.28 9.95 9.93
92 5.79 6.91 10.24 10.40 10.83 10.03 9.52 9.06
93 12.67 12.60 11.09 11.46 10.46 9.68 9.09 9.14
94 0.43 5.52 5.74 5.35 5.48 5.28 5.24 4.99
95 13.52 11.23 9.90 8.98 8.20 10.47 9.80 9.34
96 4.93 5.86 9.86 9.14 8.90 8.96 8.59 8.28
97 8.16 10.76 10.97 11.24 10.26 10.60 9.92 9.49
98 10.29 16.34 14.25 12.75 12.32 11.92 11.54 11.15
99 2.80 2.63 2.33 7.27 7.48 7.75 8.09 7.67

See Also