Une période unique fait résonner toutes les fractions de n/137 en base 5.  

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

1/137=0,0004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202...

2/137=0,0014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404...

3/137=0,0023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111...

4/137=0,0033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313...

5/137=0,0042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020...

6/137=0,0102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222...

7/137=0,0111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424...

8/137=0,0121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131...

9/137=0,0131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333...

10/137=0,0140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040...

11/137=0,0200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242...

12/137=0,0204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444...

13/137=0,0214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201...

14/137=0,0223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403...

15/137=0,0233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110...

16/137=0,0242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312...

17/137=0,0302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014...

18/137=0,0312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221...

19/137=0,0321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423...

20/137=0,0331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130...

21/137=0,0340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332...

22/137=0,0400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034...

23/137=0,0404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241...

24/137=0,0414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443...

25/137=0,0424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200...

26/137=0,0433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402...

27/137=0,0443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104...

28/137=0,1002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311...

29/137=0,1012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013...

30/137=0,1021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220...

31/137=0,1031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422...

32/137=0,1040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124...

33/137=0,1100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331...

34/137=0,1110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033...

35/137=0,1114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240...

36/137=0,1124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442...

37/137=0,1133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144...

38/137=0,1143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401...

39/137=0,1202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103...

40/137=0,1212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310...

41/137=0,1222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012...

42/137=0,1231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214...

43/137=0,1241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421...

44/137=0,1300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123...

45/137=0,1310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330...

46/137=0,1314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032...

47/137=0,1324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234...

48/137=0,1333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441...

49/137=0,1343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143...

50/137=0,1403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400...

51/137=0,1412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102...

52/137=0,1422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304...

53/137=0,1431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011...

54/137=0,1441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213...

55/137=0,2000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420...

56/137=0,2010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122...

57/137=0,2020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324...

58/137=0,2024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031...

59/137=0,2034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233...

60/137=0,2043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440...

61/137=0,2103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142...

62/137=0,2112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344...

63/137=0,2122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101...

64/137=0,2131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303...

65/137=0,2141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010...

66/137=0,2201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212...

67/137=0,2210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414...

68/137=0,2220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121...

69/137=0,2224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323...

70/137=0,2234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030...

71/137=0,2243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232...

72/137=0,2303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434...

73/137=0,2313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141...

74/137=0,2322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343...

75/137=0,2332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100...

76/137=0,2341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302...

77/137=0,2401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004...

78/137=0,2410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211...

79/137=0,2420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413...

80/137=0,2424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120...

81/137=0,2434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322...

82/137=0,2444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024...

83/137=0,3003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231...

84/137=0,3013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433...

85/137=0,3022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140...

86/137=0,3032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342...

87/137=0,3041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044...

88/137=0,3101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301...

89/137=0,3111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003...

90/137=0,3120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210...

91/137=0,3130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412...

92/137=0,3134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114...

93/137=0,3144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321...

94/137=0,3203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023...

95/137=0,3213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230...

96/137=0,3222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432...

97/137=0,3232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134...

98/137=0,3242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341...

99/137=0,3301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043...

100/137=0,3311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300...

101/137=0,3320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002...

102/137=0,3330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204...

103/137=0,3334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411...

104/137=0,3344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113...

105/137=0,3404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320...

106/137=0,3413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022...

107/137=0,3423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224...

108/137=0,3432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431...

109/137=0,3442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133...

110/137=0,4001403022341324202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340...

111/137=0,4011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042...

112/137=0,4020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244...

113/137=0,4030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001...

114/137=0,4040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203...

115/137=0,4044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410...

116/137=0,4104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112...

117/137=0,4113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314...

118/137=0,4123130033111002332034040014030223413242020004240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021...

119/137=0,4132420200042401114313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223...

120/137=0,4142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430...

121/137=0,4202000424011143134323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132...

122/137=0,4211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111431343232224342303213144113334...

123/137=0,4221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041...

124/137=0,4230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243...

125/137=0,4240111431343232224342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000...

126/137=0,4244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202...

127/137=0,4304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404...

128/137=0,4313432322243423032131441133344211241040443041422103120242444020433301310121222010214123130033111002332034040014030223413242020004240111...

129/137=0,4323222434230321314411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313...

130/137=0,4333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242444020...

131/137=0,4342303213144113334421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222...

132/137=0,4402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333442112410404430414221031202424...

133/137=0,4411333442112410404430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131...

134/137=0,4421124104044304142210312024244402043330131012122201021412313003311100233203404001403022341324202000424011143134323222434230321314411333...

135/137=0,4430414221031202424440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040...

136/137=0,4440204333013101212220102141231300331110023320340400140302234132420200042401114313432322243423032131441133344211241040443041422103120242...