Une période unique fait résonner toutes les fractions de n/97 en base 5.  

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

1/97=0,001121020123312214114344103133401400224204030212443323424321132230330100341311043044220240414232...

2/97=0,002242040302124433234243211322303301003413110430442202404142320011210201233122141143441031334014...

3/97=0,003413110430442202404142320011210201233122141143441031334014002242040302124433234243211322303301...

4/97=0,010034131104304422024041423200112102012331221411434410313340140022420403021244332342432113223033...

5/97=0,011210201233122141143441031334014002242040302124433234243211322303301003413110430442202404142320...

6/97=0,012331221411434410313340140022420403021244332342432113223033010034131104304422024041423200112102...

7/97=0,014002242040302124433234243211322303301003413110430442202404142320011210201233122141143441031334...

8/97=0,020123312214114344103133401400224204030212443323424321132230330100341311043044220240414232001121...

9/97=0,021244332342432113223033010034131104304422024041423200112102012331221411434410313340140022420403...

10/97=0,022420403021244332342432113223033010034131104304422024041423200112102012331221411434410313340140...

11/97=0,024041423200112102012331221411434410313340140022420403021244332342432113223033010034131104304422...

12/97=0,030212443323424321132230330100341311043044220240414232001121020123312214114344103133401400224204...

13/97=0,031334014002242040302124433234243211322303301003413110430442202404142320011210201233122141143441...

14/97=0,033010034131104304422024041423200112102012331221411434410313340140022420403021244332342432113223...

15/97=0,034131104304422024041423200112102012331221411434410313340140022420403021244332342432113223033010...

16/97=0,040302124433234243211322303301003413110430442202404142320011210201233122141143441031334014002242...

17/97=0,041423200112102012331221411434410313340140022420403021244332342432113223033010034131104304422024...

18/97=0,043044220240414232001121020123312214114344103133401400224204030212443323424321132230330100341311...

19/97=0,044220240414232001121020123312214114344103133401400224204030212443323424321132230330100341311043...

20/97=0,100341311043044220240414232001121020123312214114344103133401400224204030212443323424321132230330...

21/97=0,102012331221411434410313340140022420403021244332342432113223033010034131104304422024041423200112...

22/97=0,103133401400224204030212443323424321132230330100341311043044220240414232001121020123312214114344...

23/97=0,104304422024041423200112102012331221411434410313340140022420403021244332342432113223033010034131...

24/97=0,110430442202404142320011210201233122141143441031334014002242040302124433234243211322303301003413...

25/97=0,112102012331221411434410313340140022420403021244332342432113223033010034131104304422024041423200...

26/97=0,113223033010034131104304422024041423200112102012331221411434410313340140022420403021244332342432...

27/97=0,114344103133401400224204030212443323424321132230330100341311043044220240414232001121020123312214...

28/97=0,121020123312214114344103133401400224204030212443323424321132230330100341311043044220240414232001...

29/97=0,122141143441031334014002242040302124433234243211322303301003413110430442202404142320011210201233...

30/97=0,123312214114344103133401400224204030212443323424321132230330100341311043044220240414232001121020...

31/97=0,124433234243211322303301003413110430442202404142320011210201233122141143441031334014002242040302...

32/97=0,131104304422024041423200112102012331221411434410313340140022420403021244332342432113223033010034...

33/97=0,132230330100341311043044220240414232001121020123312214114344103133401400224204030212443323424321...

34/97=0,133401400224204030212443323424321132230330100341311043044220240414232001121020123312214114344103...

35/97=0,140022420403021244332342432113223033010034131104304422024041423200112102012331221411434410313340...

36/97=0,141143441031334014002242040302124433234243211322303301003413110430442202404142320011210201233122...

37/97=0,142320011210201233122141143441031334014002242040302124433234243211322303301003413110430442202404...

38/97=0,143441031334014002242040302124433234243211322303301003413110430442202404142320011210201233122141...

39/97=0,200112102012331221411434410313340140022420403021244332342432113223033010034131104304422024041423...

40/97=0,201233122141143441031334014002242040302124433234243211322303301003413110430442202404142320011210...

41/97=0,202404142320011210201233122141143441031334014002242040302124433234243211322303301003413110430442...

42/97=0,204030212443323424321132230330100341311043044220240414232001121020123312214114344103133401400224...

43/97=0,210201233122141143441031334014002242040302124433234243211322303301003413110430442202404142320011...

44/97=0,211322303301003413110430442202404142320011210201233122141143441031334014002242040302124433234243...

45/97=0,212443323424321132230330100341311043044220240414232001121020123312214114344103133401400224204030...

46/97=0,214114344103133401400224204030212443323424321132230330100341311043044220240414232001121020123312...

47/97=0,220240414232001121020123312214114344103133401400224204030212443323424321132230330100341311043044...

48/97=0,221411434410313340140022420403021244332342432113223033010034131104304422024041423200112102012331...

49/97=0,223033010034131104304422024041423200112102012331221411434410313340140022420403021244332342432113...

50/97=0,224204030212443323424321132230330100341311043044220240414232001121020123312214114344103133401400...

51/97=0,230330100341311043044220240414232001121020123312214114344103133401400224204030212443323424321132...

52/97=0,232001121020123312214114344103133401400224204030212443323424321132230330100341311043044220240414...

53/97=0,233122141143441031334014002242040302124433234243211322303301003413110430442202404142320011210201...

54/97=0,234243211322303301003413110430442202404142320011210201233122141143441031334014002242040302124433...

55/97=0,240414232001121020123312214114344103133401400224204030212443323424321132230330100341311043044220...

56/97=0,242040302124433234243211322303301003413110430442202404142320011210201233122141143441031334014002...

57/97=0,243211322303301003413110430442202404142320011210201233122141143441031334014002242040302124433234...

58/97=0,244332342432113223033010034131104304422024041423200112102012331221411434410313340140022420403021...

59/97=0,301003413110430442202404142320011210201233122141143441031334014002242040302124433234243211322303...

60/97=0,302124433234243211322303301003413110430442202404142320011210201233122141143441031334014002242040...

61/97=0,303301003413110430442202404142320011210201233122141143441031334014002242040302124433234243211322...

62/97=0,304422024041423200112102012331221411434410313340140022420403021244332342432113223033010034131104...

63/97=0,311043044220240414232001121020123312214114344103133401400224204030212443323424321132230330100341...

64/97=0,312214114344103133401400224204030212443323424321132230330100341311043044220240414232001121020123...

65/97=0,313340140022420403021244332342432113223033010034131104304422024041423200112102012331221411434410...

66/97=0,320011210201233122141143441031334014002242040302124433234243211322303301003413110430442202404142...

67/97=0,321132230330100341311043044220240414232001121020123312214114344103133401400224204030212443323424...

68/97=0,322303301003413110430442202404142320011210201233122141143441031334014002242040302124433234243211...

69/97=0,323424321132230330100341311043044220240414232001121020123312214114344103133401400224204030212443...

70/97=0,330100341311043044220240414232001121020123312214114344103133401400224204030212443323424321132230...

71/97=0,331221411434410313340140022420403021244332342432113223033010034131104304422024041423200112102012...

72/97=0,332342432113223033010034131104304422024041423200112102012331221411434410313340140022420403021244...

73/97=0,334014002242040302124433234243211322303301003413110430442202404142320011210201233122141143441031...

74/97=0,340140022420403021244332342432113223033010034131104304422024041423200112102012331221411434410313...

75/97=0,341311043044220240414232001121020123312214114344103133401400224204030212443323424321132230330100...

76/97=0,342432113223033010034131104304422024041423200112102012331221411434410313340140022420403021244332...

77/97=0,344103133401400224204030212443323424321132230330100341311043044220240414232001121020123312214114...

78/97=0,400224204030212443323424321132230330100341311043044220240414232001121020123312214114344103133401...

79/97=0,401400224204030212443323424321132230330100341311043044220240414232001121020123312214114344103133...

80/97=0,403021244332342432113223033010034131104304422024041423200112102012331221411434410313340140022420...

81/97=0,404142320011210201233122141143441031334014002242040302124433234243211322303301003413110430442202...

82/97=0,410313340140022420403021244332342432113223033010034131104304422024041423200112102012331221411434...

83/97=0,411434410313340140022420403021244332342432113223033010034131104304422024041423200112102012331221...

84/97=0,413110430442202404142320011210201233122141143441031334014002242040302124433234243211322303301003...

85/97=0,414232001121020123312214114344103133401400224204030212443323424321132230330100341311043044220240...

86/97=0,420403021244332342432113223033010034131104304422024041423200112102012331221411434410313340140022...

87/97=0,422024041423200112102012331221411434410313340140022420403021244332342432113223033010034131104304...

88/97=0,423200112102012331221411434410313340140022420403021244332342432113223033010034131104304422024041...

89/97=0,424321132230330100341311043044220240414232001121020123312214114344103133401400224204030212443323...

90/97=0,430442202404142320011210201233122141143441031334014002242040302124433234243211322303301003413110...

91/97=0,432113223033010034131104304422024041423200112102012331221411434410313340140022420403021244332342...

92/97=0,433234243211322303301003413110430442202404142320011210201233122141143441031334014002242040302124...

93/97=0,434410313340140022420403021244332342432113223033010034131104304422024041423200112102012331221411...

94/97=0,441031334014002242040302124433234243211322303301003413110430442202404142320011210201233122141143...

95/97=0,442202404142320011210201233122141143441031334014002242040302124433234243211322303301003413110430...

96/97=0,443323424321132230330100341311043044220240414232001121020123312214114344103133401400224204030212...