Une période unique fait résonner toutes les fractions de n/101 en base 7.  

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

1/101=0,0032525614433512463055516045650262430226601312134466341410522331542036111506210164042364400653545322...

2/101=0,0065354532200325256144335124630555160456502624302266013121344663414105223315420361115062101640423644...

3/101=0,0131213446634141052233154203611150621016404236440065354532200325256144335124630555160456502624302266...

4/101=0,0164042364400653545322003252561443351246305551604565026243022660131213446634141052233154203611150621...

5/101=0,0226601312134466341410522331542036111506210164042364400653545322003252561443351246305551604565026243...

6/101=0,0262430226601312134466341410522331542036111506210164042364400653545322003252561443351246305551604565...

7/101=0,0325256144335124630555160456502624302266013121344663414105223315420361115062101640423644006535453220...

8/101=0,0361115062101640423644006535453220032525614433512463055516045650262430226601312134466341410522331542...

9/101=0,0423644006535453220032525614433512463055516045650262430226601312134466341410522331542036111506210164...

10/101=0,0456502624302266013121344663414105223315420361115062101640423644006535453220032525614433512463055516...

11/101=0,0522331542036111506210164042364400653545322003252561443351246305551604565026243022660131213446634141...

12/101=0,0555160456502624302266013121344663414105223315420361115062101640423644006535453220032525614433512463...

13/101=0,0621016404236440065354532200325256144335124630555160456502624302266013121344663414105223315420361115...

14/101=0,0653545322003252561443351246305551604565026243022660131213446634141052233154203611150621016404236440...

15/101=0,1016404236440065354532200325256144335124630555160456502624302266013121344663414105223315420361115062...

16/101=0,1052233154203611150621016404236440065354532200325256144335124630555160456502624302266013121344663414...

17/101=0,1115062101640423644006535453220032525614433512463055516045650262430226601312134466341410522331542036...

18/101=0,1150621016404236440065354532200325256144335124630555160456502624302266013121344663414105223315420361...

19/101=0,1213446634141052233154203611150621016404236440065354532200325256144335124630555160456502624302266013...

20/101=0,1246305551604565026243022660131213446634141052233154203611150621016404236440065354532200325256144335...

21/101=0,1312134466341410522331542036111506210164042364400653545322003252561443351246305551604565026243022660...

22/101=0,1344663414105223315420361115062101640423644006535453220032525614433512463055516045650262430226601312...

23/101=0,1410522331542036111506210164042364400653545322003252561443351246305551604565026243022660131213446634...

24/101=0,1443351246305551604565026243022660131213446634141052233154203611150621016404236440065354532200325256...

25/101=0,1506210164042364400653545322003252561443351246305551604565026243022660131213446634141052233154203611...

26/101=0,1542036111506210164042364400653545322003252561443351246305551604565026243022660131213446634141052233...

27/101=0,1604565026243022660131213446634141052233154203611150621016404236440065354532200325256144335124630555...

28/101=0,1640423644006535453220032525614433512463055516045650262430226601312134466341410522331542036111506210...

29/101=0,2003252561443351246305551604565026243022660131213446634141052233154203611150621016404236440065354532...

30/101=0,2036111506210164042364400653545322003252561443351246305551604565026243022660131213446634141052233154...

31/101=0,2101640423644006535453220032525614433512463055516045650262430226601312134466341410522331542036111506...

32/101=0,2134466341410522331542036111506210164042364400653545322003252561443351246305551604565026243022660131...

33/101=0,2200325256144335124630555160456502624302266013121344663414105223315420361115062101640423644006535453...

34/101=0,2233154203611150621016404236440065354532200325256144335124630555160456502624302266013121344663414105...

35/101=0,2266013121344663414105223315420361115062101640423644006535453220032525614433512463055516045650262430...

36/101=0,2331542036111506210164042364400653545322003252561443351246305551604565026243022660131213446634141052...

37/101=0,2364400653545322003252561443351246305551604565026243022660131213446634141052233154203611150621016404...

38/101=0,2430226601312134466341410522331542036111506210164042364400653545322003252561443351246305551604565026...

39/101=0,2463055516045650262430226601312134466341410522331542036111506210164042364400653545322003252561443351...

40/101=0,2525614433512463055516045650262430226601312134466341410522331542036111506210164042364400653545322003...

41/101=0,2561443351246305551604565026243022660131213446634141052233154203611150621016404236440065354532200325...

42/101=0,2624302266013121344663414105223315420361115062101640423644006535453220032525614433512463055516045650...

43/101=0,2660131213446634141052233154203611150621016404236440065354532200325256144335124630555160456502624302...

44/101=0,3022660131213446634141052233154203611150621016404236440065354532200325256144335124630555160456502624...

45/101=0,3055516045650262430226601312134466341410522331542036111506210164042364400653545322003252561443351246...

46/101=0,3121344663414105223315420361115062101640423644006535453220032525614433512463055516045650262430226601...

47/101=0,3154203611150621016404236440065354532200325256144335124630555160456502624302266013121344663414105223...

48/101=0,3220032525614433512463055516045650262430226601312134466341410522331542036111506210164042364400653545...

49/101=0,3252561443351246305551604565026243022660131213446634141052233154203611150621016404236440065354532200...

50/101=0,3315420361115062101640423644006535453220032525614433512463055516045650262430226601312134466341410522...

51/101=0,3351246305551604565026243022660131213446634141052233154203611150621016404236440065354532200325256144...

52/101=0,3414105223315420361115062101640423644006535453220032525614433512463055516045650262430226601312134466...

53/101=0,3446634141052233154203611150621016404236440065354532200325256144335124630555160456502624302266013121...

54/101=0,3512463055516045650262430226601312134466341410522331542036111506210164042364400653545322003252561443...

55/101=0,3545322003252561443351246305551604565026243022660131213446634141052233154203611150621016404236440065...

56/101=0,3611150621016404236440065354532200325256144335124630555160456502624302266013121344663414105223315420...

57/101=0,3644006535453220032525614433512463055516045650262430226601312134466341410522331542036111506210164042...

58/101=0,4006535453220032525614433512463055516045650262430226601312134466341410522331542036111506210164042364...

59/101=0,4042364400653545322003252561443351246305551604565026243022660131213446634141052233154203611150621016...

60/101=0,4105223315420361115062101640423644006535453220032525614433512463055516045650262430226601312134466341...

61/101=0,4141052233154203611150621016404236440065354532200325256144335124630555160456502624302266013121344663...

62/101=0,4203611150621016404236440065354532200325256144335124630555160456502624302266013121344663414105223315...

63/101=0,4236440065354532200325256144335124630555160456502624302266013121344663414105223315420361115062101640...

64/101=0,4302266013121344663414105223315420361115062101640423644006535453220032525614433512463055516045650262...

65/101=0,4335124630555160456502624302266013121344663414105223315420361115062101640423644006535453220032525614...

66/101=0,4400653545322003252561443351246305551604565026243022660131213446634141052233154203611150621016404236...

67/101=0,4433512463055516045650262430226601312134466341410522331542036111506210164042364400653545322003252561...

68/101=0,4466341410522331542036111506210164042364400653545322003252561443351246305551604565026243022660131213...

69/101=0,4532200325256144335124630555160456502624302266013121344663414105223315420361115062101640423644006535...

70/101=0,4565026243022660131213446634141052233154203611150621016404236440065354532200325256144335124630555160...

71/101=0,4630555160456502624302266013121344663414105223315420361115062101640423644006535453220032525614433512...

72/101=0,4663414105223315420361115062101640423644006535453220032525614433512463055516045650262430226601312134...

73/101=0,5026243022660131213446634141052233154203611150621016404236440065354532200325256144335124630555160456...

74/101=0,5062101640423644006535453220032525614433512463055516045650262430226601312134466341410522331542036111...

75/101=0,5124630555160456502624302266013121344663414105223315420361115062101640423644006535453220032525614433...

76/101=0,5160456502624302266013121344663414105223315420361115062101640423644006535453220032525614433512463055...

77/101=0,5223315420361115062101640423644006535453220032525614433512463055516045650262430226601312134466341410...

78/101=0,5256144335124630555160456502624302266013121344663414105223315420361115062101640423644006535453220032...

79/101=0,5322003252561443351246305551604565026243022660131213446634141052233154203611150621016404236440065354...

80/101=0,5354532200325256144335124630555160456502624302266013121344663414105223315420361115062101640423644006...

81/101=0,5420361115062101640423644006535453220032525614433512463055516045650262430226601312134466341410522331...

82/101=0,5453220032525614433512463055516045650262430226601312134466341410522331542036111506210164042364400653...

83/101=0,5516045650262430226601312134466341410522331542036111506210164042364400653545322003252561443351246305...

84/101=0,5551604565026243022660131213446634141052233154203611150621016404236440065354532200325256144335124630...

85/101=0,5614433512463055516045650262430226601312134466341410522331542036111506210164042364400653545322003252...

86/101=0,5650262430226601312134466341410522331542036111506210164042364400653545322003252561443351246305551604...

87/101=0,6013121344663414105223315420361115062101640423644006535453220032525614433512463055516045650262430226...

88/101=0,6045650262430226601312134466341410522331542036111506210164042364400653545322003252561443351246305551...

89/101=0,6111506210164042364400653545322003252561443351246305551604565026243022660131213446634141052233154203...

90/101=0,6144335124630555160456502624302266013121344663414105223315420361115062101640423644006535453220032525...

91/101=0,6210164042364400653545322003252561443351246305551604565026243022660131213446634141052233154203611150...

92/101=0,6243022660131213446634141052233154203611150621016404236440065354532200325256144335124630555160456502...

93/101=0,6305551604565026243022660131213446634141052233154203611150621016404236440065354532200325256144335124...

94/101=0,6341410522331542036111506210164042364400653545322003252561443351246305551604565026243022660131213446...

95/101=0,6404236440065354532200325256144335124630555160456502624302266013121344663414105223315420361115062101...

96/101=0,6440065354532200325256144335124630555160456502624302266013121344663414105223315420361115062101640423...

97/101=0,6502624302266013121344663414105223315420361115062101640423644006535453220032525614433512463055516045...

98/101=0,6535453220032525614433512463055516045650262430226601312134466341410522331542036111506210164042364400...

99/101=0,6601312134466341410522331542036111506210164042364400653545322003252561443351246305551604565026243022...

100/101=0,6634141052233154203611150621016404236440065354532200325256144335124630555160456502624302266013121344...