Une période unique fait résonner toutes les fractions de n/197 en base 2.  

Le microscope numérique permet alors d'en observer le graphe. 

1/197=0,0000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011...

2/197=0,0000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110...

3/197=0,0000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001...

4/197=0,0000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100...

5/197=0,0000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111...

6/197=0,0000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010...

7/197=0,0000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101...

8/197=0,0000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000...

9/197=0,0000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011...

10/197=0,0000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110...

11/197=0,0000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001...

12/197=0,0000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100...

13/197=0,0001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111...

14/197=0,0001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010...

15/197=0,0001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101...

16/197=0,0001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000...

17/197=0,0001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011...

18/197=0,0001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110...

19/197=0,0001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001...

20/197=0,0001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100...

21/197=0,0001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111...

22/197=0,0001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010...

23/197=0,0001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101...

24/197=0,0001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000...

25/197=0,0010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011...

26/197=0,0010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110...

27/197=0,0010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001...

28/197=0,0010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100...

29/197=0,0010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111...

30/197=0,0010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010...

31/197=0,0010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101...

32/197=0,0010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000...

33/197=0,0010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011...

34/197=0,0010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110...

35/197=0,0010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001...

36/197=0,0010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100...

37/197=0,0011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111...

38/197=0,0011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010...

39/197=0,0011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101...

40/197=0,0011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000...

41/197=0,0011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011...

42/197=0,0011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110...

43/197=0,0011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001...

44/197=0,0011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100...

45/197=0,0011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111...

46/197=0,0011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010...

47/197=0,0011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101...

48/197=0,0011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000...

49/197=0,0011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011...

50/197=0,0100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110...

51/197=0,0100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001...

52/197=0,0100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100...

53/197=0,0100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111...

54/197=0,0100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010...

55/197=0,0100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101...

56/197=0,0100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000...

57/197=0,0100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011...

58/197=0,0100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110...

59/197=0,0100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001...

60/197=0,0100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100...

61/197=0,0100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111...

62/197=0,0101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010...

63/197=0,0101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101...

64/197=0,0101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000...

65/197=0,0101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011...

66/197=0,0101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110...

67/197=0,0101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001...

68/197=0,0101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100...

69/197=0,0101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111...

70/197=0,0101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010...

71/197=0,0101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101...

72/197=0,0101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000...

73/197=0,0101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011...

74/197=0,0110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110...

75/197=0,0110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001...

76/197=0,0110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100...

77/197=0,0110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111...

78/197=0,0110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010...

79/197=0,0110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101...

80/197=0,0110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000...

81/197=0,0110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011...

82/197=0,0110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110...

83/197=0,0110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001...

84/197=0,0110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100...

85/197=0,0110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111...

86/197=0,0110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010...

87/197=0,0111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101...

88/197=0,0111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000...

89/197=0,0111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011...

90/197=0,0111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110...

91/197=0,0111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001...

92/197=0,0111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100...

93/197=0,0111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111...

94/197=0,0111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010...

95/197=0,0111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101...

96/197=0,0111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000...

97/197=0,0111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011...

98/197=0,0111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110...

99/197=0,1000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001...

100/197=0,1000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100...

101/197=0,1000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111...

102/197=0,1000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010...

103/197=0,1000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101...

104/197=0,1000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000...

105/197=0,1000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011000000010100110010101011...

106/197=0,1000100110111111000001100111111101011001101010100011101111000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110...

107/197=0,1000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010100011101111000110110100101000010010001...

108/197=0,1000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100...

109/197=0,1000110110100101000010010001100010110000101110110010000001111100110000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111...

110/197=0,1000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011100100101101011110110111001110100111101000100110111111000001100111111101011001101010...

111/197=0,1001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101...

112/197=0,1001000110001011000010111011001000000111110011000000010100110010101011100010000111001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000...

113/197=0,1001001011010111101101110011101001111010001001101111110000011001111111010110011010101000111011110001101101001010000100100011000101100001011101100100000011111001100000001010011001010101110001000011...

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