Une période unique fait résonner toutes les fractions de n/103 en base 5.  

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

1/103=0,001101322142131112340414102424014323244003310022031443343122302313332104030342020430121200441134422413...

2/103=0,002203144334312230231333210403034202043012120044113442241300110132214213111234041410242401432324400331...

3/103=0,003310022031443343122302313332104030342020430121200441134422413001101322142131112340414102424014323244...

4/103=0,004411344224130011013221421311123404141024240143232440033100220314433431223023133321040303420204301212...

5/103=0,011013221421311123404141024240143232440033100220314433431223023133321040303420204301212004411344224130...

6/103=0,012120044113442241300110132214213111234041410242401432324400331002203144334312230231333210403034202043...

7/103=0,013221421311123404141024240143232440033100220314433431223023133321040303420204301212004411344224130011...

8/103=0,014323244003310022031443343122302313332104030342020430121200441134422413001101322142131112340414102424...

9/103=0,020430121200441134422413001101322142131112340414102424014323244003310022031443343122302313332104030342...

10/103=0,022031443343122302313332104030342020430121200441134422413001101322142131112340414102424014323244003310...

11/103=0,023133321040303420204301212004411344224130011013221421311123404141024240143232440033100220314433431223...

12/103=0,024240143232440033100220314433431223023133321040303420204301212004411344224130011013221421311123404141...

13/103=0,030342020430121200441134422413001101322142131112340414102424014323244003310022031443343122302313332104...

14/103=0,031443343122302313332104030342020430121200441134422413001101322142131112340414102424014323244003310022...

15/103=0,033100220314433431223023133321040303420204301212004411344224130011013221421311123404141024240143232440...

16/103=0,034202043012120044113442241300110132214213111234041410242401432324400331002203144334312230231333210403...

17/103=0,040303420204301212004411344224130011013221421311123404141024240143232440033100220314433431223023133321...

18/103=0,041410242401432324400331002203144334312230231333210403034202043012120044113442241300110132214213111234...

19/103=0,043012120044113442241300110132214213111234041410242401432324400331002203144334312230231333210403034202...

20/103=0,044113442241300110132214213111234041410242401432324400331002203144334312230231333210403034202043012120...

21/103=0,100220314433431223023133321040303420204301212004411344224130011013221421311123404141024240143232440033...

22/103=0,101322142131112340414102424014323244003310022031443343122302313332104030342020430121200441134422413001...

23/103=0,102424014323244003310022031443343122302313332104030342020430121200441134422413001101322142131112340414...

24/103=0,104030342020430121200441134422413001101322142131112340414102424014323244003310022031443343122302313332...

25/103=0,110132214213111234041410242401432324400331002203144334312230231333210403034202043012120044113442241300...

26/103=0,111234041410242401432324400331002203144334312230231333210403034202043012120044113442241300110132214213...

27/103=0,112340414102424014323244003310022031443343122302313332104030342020430121200441134422413001101322142131...

28/103=0,113442241300110132214213111234041410242401432324400331002203144334312230231333210403034202043012120044...

29/103=0,120044113442241300110132214213111234041410242401432324400331002203144334312230231333210403034202043012...

30/103=0,121200441134422413001101322142131112340414102424014323244003310022031443343122302313332104030342020430...

31/103=0,122302313332104030342020430121200441134422413001101322142131112340414102424014323244003310022031443343...

32/103=0,123404141024240143232440033100220314433431223023133321040303420204301212004411344224130011013221421311...

33/103=0,130011013221421311123404141024240143232440033100220314433431223023133321040303420204301212004411344224...

34/103=0,131112340414102424014323244003310022031443343122302313332104030342020430121200441134422413001101322142...

35/103=0,132214213111234041410242401432324400331002203144334312230231333210403034202043012120044113442241300110...

36/103=0,133321040303420204301212004411344224130011013221421311123404141024240143232440033100220314433431223023...

37/103=0,134422413001101322142131112340414102424014323244003310022031443343122302313332104030342020430121200441...

38/103=0,141024240143232440033100220314433431223023133321040303420204301212004411344224130011013221421311123404...

39/103=0,142131112340414102424014323244003310022031443343122302313332104030342020430121200441134422413001101322...

40/103=0,143232440033100220314433431223023133321040303420204301212004411344224130011013221421311123404141024240...

41/103=0,144334312230231333210403034202043012120044113442241300110132214213111234041410242401432324400331002203...

42/103=0,200441134422413001101322142131112340414102424014323244003310022031443343122302313332104030342020430121...

43/103=0,202043012120044113442241300110132214213111234041410242401432324400331002203144334312230231333210403034...

44/103=0,203144334312230231333210403034202043012120044113442241300110132214213111234041410242401432324400331002...

45/103=0,204301212004411344224130011013221421311123404141024240143232440033100220314433431223023133321040303420...

46/103=0,210403034202043012120044113442241300110132214213111234041410242401432324400331002203144334312230231333...

47/103=0,212004411344224130011013221421311123404141024240143232440033100220314433431223023133321040303420204301...

48/103=0,213111234041410242401432324400331002203144334312230231333210403034202043012120044113442241300110132214...

49/103=0,214213111234041410242401432324400331002203144334312230231333210403034202043012120044113442241300110132...

50/103=0,220314433431223023133321040303420204301212004411344224130011013221421311123404141024240143232440033100...

51/103=0,221421311123404141024240143232440033100220314433431223023133321040303420204301212004411344224130011013...

52/103=0,223023133321040303420204301212004411344224130011013221421311123404141024240143232440033100220314433431...

53/103=0,224130011013221421311123404141024240143232440033100220314433431223023133321040303420204301212004411344...

54/103=0,230231333210403034202043012120044113442241300110132214213111234041410242401432324400331002203144334312...

55/103=0,231333210403034202043012120044113442241300110132214213111234041410242401432324400331002203144334312230...

56/103=0,232440033100220314433431223023133321040303420204301212004411344224130011013221421311123404141024240143...

57/103=0,234041410242401432324400331002203144334312230231333210403034202043012120044113442241300110132214213111...

58/103=0,240143232440033100220314433431223023133321040303420204301212004411344224130011013221421311123404141024...

59/103=0,241300110132214213111234041410242401432324400331002203144334312230231333210403034202043012120044113442...

60/103=0,242401432324400331002203144334312230231333210403034202043012120044113442241300110132214213111234041410...

61/103=0,244003310022031443343122302313332104030342020430121200441134422413001101322142131112340414102424014323...

62/103=0,300110132214213111234041410242401432324400331002203144334312230231333210403034202043012120044113442241...

63/103=0,301212004411344224130011013221421311123404141024240143232440033100220314433431223023133321040303420204...

64/103=0,302313332104030342020430121200441134422413001101322142131112340414102424014323244003310022031443343122...

65/103=0,303420204301212004411344224130011013221421311123404141024240143232440033100220314433431223023133321040...

66/103=0,310022031443343122302313332104030342020430121200441134422413001101322142131112340414102424014323244003...

67/103=0,311123404141024240143232440033100220314433431223023133321040303420204301212004411344224130011013221421...

68/103=0,312230231333210403034202043012120044113442241300110132214213111234041410242401432324400331002203144334...

69/103=0,313332104030342020430121200441134422413001101322142131112340414102424014323244003310022031443343122302...

70/103=0,314433431223023133321040303420204301212004411344224130011013221421311123404141024240143232440033100220...

71/103=0,321040303420204301212004411344224130011013221421311123404141024240143232440033100220314433431223023133...

72/103=0,322142131112340414102424014323244003310022031443343122302313332104030342020430121200441134422413001101...

73/103=0,323244003310022031443343122302313332104030342020430121200441134422413001101322142131112340414102424014...

74/103=0,324400331002203144334312230231333210403034202043012120044113442241300110132214213111234041410242401432...

75/103=0,331002203144334312230231333210403034202043012120044113442241300110132214213111234041410242401432324400...

76/103=0,332104030342020430121200441134422413001101322142131112340414102424014323244003310022031443343122302313...

77/103=0,333210403034202043012120044113442241300110132214213111234041410242401432324400331002203144334312230231...

78/103=0,334312230231333210403034202043012120044113442241300110132214213111234041410242401432324400331002203144...

79/103=0,340414102424014323244003310022031443343122302313332104030342020430121200441134422413001101322142131112...

80/103=0,342020430121200441134422413001101322142131112340414102424014323244003310022031443343122302313332104030...

81/103=0,343122302313332104030342020430121200441134422413001101322142131112340414102424014323244003310022031443...

82/103=0,344224130011013221421311123404141024240143232440033100220314433431223023133321040303420204301212004411...

83/103=0,400331002203144334312230231333210403034202043012120044113442241300110132214213111234041410242401432324...

84/103=0,401432324400331002203144334312230231333210403034202043012120044113442241300110132214213111234041410242...

85/103=0,403034202043012120044113442241300110132214213111234041410242401432324400331002203144334312230231333210...

86/103=0,404141024240143232440033100220314433431223023133321040303420204301212004411344224130011013221421311123...

87/103=0,410242401432324400331002203144334312230231333210403034202043012120044113442241300110132214213111234041...

88/103=0,411344224130011013221421311123404141024240143232440033100220314433431223023133321040303420204301212004...

89/103=0,413001101322142131112340414102424014323244003310022031443343122302313332104030342020430121200441134422...

90/103=0,414102424014323244003310022031443343122302313332104030342020430121200441134422413001101322142131112340...

91/103=0,420204301212004411344224130011013221421311123404141024240143232440033100220314433431223023133321040303...

92/103=0,421311123404141024240143232440033100220314433431223023133321040303420204301212004411344224130011013221...

93/103=0,422413001101322142131112340414102424014323244003310022031443343122302313332104030342020430121200441134...

94/103=0,424014323244003310022031443343122302313332104030342020430121200441134422413001101322142131112340414102...

95/103=0,430121200441134422413001101322142131112340414102424014323244003310022031443343122302313332104030342020...

96/103=0,431223023133321040303420204301212004411344224130011013221421311123404141024240143232440033100220314433...

97/103=0,432324400331002203144334312230231333210403034202043012120044113442241300110132214213111234041410242401...

98/103=0,433431223023133321040303420204301212004411344224130011013221421311123404141024240143232440033100220314...

99/103=0,440033100220314433431223023133321040303420204301212004411344224130011013221421311123404141024240143232...

100/103=0,441134422413001101322142131112340414102424014323244003310022031443343122302313332104030342020430121200...

101/103=0,442241300110132214213111234041410242401432324400331002203144334312230231333210403034202043012120044113...

102/103=0,443343122302313332104030342020430121200441134422413001101322142131112340414102424014323244003310022031...