Une période unique fait résonner toutes les fractions de n/137 en base 3.  

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

1/137=0,0000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111...

2/137=0,0001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222...

3/137=0,0001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110...

4/137=0,0002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221...

5/137=0,0002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102...

6/137=0,0010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220...

7/137=0,0011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101...

8/137=0,0011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212...

9/137=0,0012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100...

10/137=0,0012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211...

11/137=0,0020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022...

12/137=0,0021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210...

13/137=0,0021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021...

14/137=0,0022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202...

15/137=0,0022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020...

16/137=0,0100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201...

17/137=0,0101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012...

18/137=0,0101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200...

19/137=0,0102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011...

20/137=0,0102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122...

21/137=0,0110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010...

22/137=0,0111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121...

23/137=0,0111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002...

24/137=0,0112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120...

25/137=0,0112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001...

26/137=0,0120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112...

27/137=0,0120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000...

28/137=0,0121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111...

29/137=0,0122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222...

30/137=0,0122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110...

31/137=0,0200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221...

32/137=0,0200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102...

33/137=0,0201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220...

34/137=0,0202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101...

35/137=0,0202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212...

36/137=0,0210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100...

37/137=0,0210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211...

38/137=0,0211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022...

39/137=0,0212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210...

40/137=0,0212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021...

41/137=0,0220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202...

42/137=0,0220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020...

43/137=0,0221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201...

44/137=0,0222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012...

45/137=0,0222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200...

46/137=0,1000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011...

47/137=0,1000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122...

48/137=0,1001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010...

49/137=0,1001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121...

50/137=0,1002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002...

51/137=0,1010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120...

52/137=0,1010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001...

53/137=0,1011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112...

54/137=0,1011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000...

55/137=0,1012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111...

56/137=0,1020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222...

57/137=0,1020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110...

58/137=0,1021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221...

59/137=0,1021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102...

60/137=0,1022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220...

61/137=0,1100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101...

62/137=0,1100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212...

63/137=0,1101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100...

64/137=0,1101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211...

65/137=0,1102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022...

66/137=0,1110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210...

67/137=0,1110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021...

68/137=0,1111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202...

69/137=0,1111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020...

70/137=0,1112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201...

71/137=0,1112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012...

72/137=0,1120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200...

73/137=0,1121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011...

74/137=0,1121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122...

75/137=0,1122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010...

76/137=0,1122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121...

77/137=0,1200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002...

78/137=0,1201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120...

79/137=0,1201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001...

80/137=0,1202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112...

81/137=0,1202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000...

82/137=0,1210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111...

83/137=0,1211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222...

84/137=0,1211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110...

85/137=0,1212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221...

86/137=0,1212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102...

87/137=0,1220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220...

88/137=0,1221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101...

89/137=0,1221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212...

90/137=0,1222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100...

91/137=0,1222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211...

92/137=0,2000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022...

93/137=0,2000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210...

94/137=0,2001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021...

95/137=0,2002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202...

96/137=0,2002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020...

97/137=0,2010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201...

98/137=0,2010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012...

99/137=0,2011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200...

100/137=0,2012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011...

101/137=0,2012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122...

102/137=0,2020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010...

103/137=0,2020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121...

104/137=0,2021111012111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002...

105/137=0,2022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120...

106/137=0,2022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001...

107/137=0,2100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112...

108/137=0,2100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000...

109/137=0,2101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111...

110/137=0,2102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222...

111/137=0,2102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110...

112/137=0,2110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221...

113/137=0,2110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102...

114/137=0,2111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220...

115/137=0,2111222210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101...

116/137=0,2112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212...

117/137=0,2120011201201010011010202002202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100...

118/137=0,2120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211...

119/137=0,2121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022...

120/137=0,2121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001222012201022110210...

121/137=0,2122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021...

122/137=0,2200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202...

123/137=0,2200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020...

124/137=0,2201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000222121100122201...

125/137=0,2201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012...

126/137=0,2202111101211122221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200...

127/137=0,2210002100212001120120101001101020200220211110121112222102000222121100122201220102211021021212211212020220020111121011100001202220001011...

128/137=0,2210200022212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122...

129/137=0,2211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010...

130/137=0,2211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121...

131/137=0,2212110012220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002...

132/137=0,2220001011221000210021200112012010100110102020022021111012111222210200022212110012220122010221102102121221121202022002011112101110000120...

133/137=0,2220122010221102102121221121202022002011112101110000120222000101122100021002120011201201010011010202002202111101211122221020002221211001...

134/137=0,2221020002221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112...

135/137=0,2221211001222012201022110210212122112120202200201111210111000012022200010112210002100212001120120101001101020200220211110121112222102000...

136/137=0,2222102000222121100122201220102211021021212211212020220020111121011100001202220001011221000210021200112012010100110102020022021111012111...