Une période unique fait résonner toutes les fractions de n/107 en base 6.  

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

1/107=0,0020040120240521443331102204413230501403210421242525455355154353150341122244533511423250541523451343130301...

2/107=0,0040120240521443331102204413230501403210421242525455355154353150341122244533511423250541523451343130301002...

3/107=0,0100200401202405214433311022044132305014032104212425254553551543531503411222445335114232505415234513431303...

4/107=0,0120240521443331102204413230501403210421242525455355154353150341122244533511423250541523451343130301002004...

5/107=0,0140321042124252545535515435315034112224453351142325054152345134313030100200401202405214433311022044132305...

6/107=0,0200401202405214433311022044132305014032104212425254553551543531503411222445335114232505415234513431303010...

7/107=0,0220441323050140321042124252545535515435315034112224453351142325054152345134313030100200401202405214433311...

8/107=0,0240521443331102204413230501403210421242525455355154353150341122244533511423250541523451343130301002004012...

9/107=0,0301002004012024052144333110220441323050140321042124252545535515435315034112224453351142325054152345134313...

10/107=0,0321042124252545535515435315034112224453351142325054152345134313030100200401202405214433311022044132305014...

11/107=0,0341122244533511423250541523451343130301002004012024052144333110220441323050140321042124252545535515435315...

12/107=0,0401202405214433311022044132305014032104212425254553551543531503411222445335114232505415234513431303010020...

13/107=0,0421242525455355154353150341122244533511423250541523451343130301002004012024052144333110220441323050140321...

14/107=0,0441323050140321042124252545535515435315034112224453351142325054152345134313030100200401202405214433311022...

15/107=0,0501403210421242525455355154353150341122244533511423250541523451343130301002004012024052144333110220441323...

16/107=0,0521443331102204413230501403210421242525455355154353150341122244533511423250541523451343130301002004012024...

17/107=0,0541523451343130301002004012024052144333110220441323050140321042124252545535515435315034112224453351142325...

18/107=0,1002004012024052144333110220441323050140321042124252545535515435315034112224453351142325054152345134313030...

19/107=0,1022044132305014032104212425254553551543531503411222445335114232505415234513431303010020040120240521443331...

20/107=0,1042124252545535515435315034112224453351142325054152345134313030100200401202405214433311022044132305014032...

21/107=0,1102204413230501403210421242525455355154353150341122244533511423250541523451343130301002004012024052144333...

22/107=0,1122244533511423250541523451343130301002004012024052144333110220441323050140321042124252545535515435315034...

23/107=0,1142325054152345134313030100200401202405214433311022044132305014032104212425254553551543531503411222445335...

24/107=0,1202405214433311022044132305014032104212425254553551543531503411222445335114232505415234513431303010020040...

25/107=0,1222445335114232505415234513431303010020040120240521443331102204413230501403210421242525455355154353150341...

26/107=0,1242525455355154353150341122244533511423250541523451343130301002004012024052144333110220441323050140321042...

27/107=0,1303010020040120240521443331102204413230501403210421242525455355154353150341122244533511423250541523451343...

28/107=0,1323050140321042124252545535515435315034112224453351142325054152345134313030100200401202405214433311022044...

29/107=0,1343130301002004012024052144333110220441323050140321042124252545535515435315034112224453351142325054152345...

30/107=0,1403210421242525455355154353150341122244533511423250541523451343130301002004012024052144333110220441323050...

31/107=0,1423250541523451343130301002004012024052144333110220441323050140321042124252545535515435315034112224453351...

32/107=0,1443331102204413230501403210421242525455355154353150341122244533511423250541523451343130301002004012024052...

33/107=0,1503411222445335114232505415234513431303010020040120240521443331102204413230501403210421242525455355154353...

34/107=0,1523451343130301002004012024052144333110220441323050140321042124252545535515435315034112224453351142325054...

35/107=0,1543531503411222445335114232505415234513431303010020040120240521443331102204413230501403210421242525455355...

36/107=0,2004012024052144333110220441323050140321042124252545535515435315034112224453351142325054152345134313030100...

37/107=0,2024052144333110220441323050140321042124252545535515435315034112224453351142325054152345134313030100200401...

38/107=0,2044132305014032104212425254553551543531503411222445335114232505415234513431303010020040120240521443331102...

39/107=0,2104212425254553551543531503411222445335114232505415234513431303010020040120240521443331102204413230501403...

40/107=0,2124252545535515435315034112224453351142325054152345134313030100200401202405214433311022044132305014032104...

41/107=0,2144333110220441323050140321042124252545535515435315034112224453351142325054152345134313030100200401202405...

42/107=0,2204413230501403210421242525455355154353150341122244533511423250541523451343130301002004012024052144333110...

43/107=0,2224453351142325054152345134313030100200401202405214433311022044132305014032104212425254553551543531503411...

44/107=0,2244533511423250541523451343130301002004012024052144333110220441323050140321042124252545535515435315034112...

45/107=0,2305014032104212425254553551543531503411222445335114232505415234513431303010020040120240521443331102204413...

46/107=0,2325054152345134313030100200401202405214433311022044132305014032104212425254553551543531503411222445335114...

47/107=0,2345134313030100200401202405214433311022044132305014032104212425254553551543531503411222445335114232505415...

48/107=0,2405214433311022044132305014032104212425254553551543531503411222445335114232505415234513431303010020040120...

49/107=0,2425254553551543531503411222445335114232505415234513431303010020040120240521443331102204413230501403210421...

50/107=0,2445335114232505415234513431303010020040120240521443331102204413230501403210421242525455355154353150341122...

51/107=0,2505415234513431303010020040120240521443331102204413230501403210421242525455355154353150341122244533511423...

52/107=0,2525455355154353150341122244533511423250541523451343130301002004012024052144333110220441323050140321042124...

53/107=0,2545535515435315034112224453351142325054152345134313030100200401202405214433311022044132305014032104212425...

54/107=0,3010020040120240521443331102204413230501403210421242525455355154353150341122244533511423250541523451343130...

55/107=0,3030100200401202405214433311022044132305014032104212425254553551543531503411222445335114232505415234513431...

56/107=0,3050140321042124252545535515435315034112224453351142325054152345134313030100200401202405214433311022044132...

57/107=0,3110220441323050140321042124252545535515435315034112224453351142325054152345134313030100200401202405214433...

58/107=0,3130301002004012024052144333110220441323050140321042124252545535515435315034112224453351142325054152345134...

59/107=0,3150341122244533511423250541523451343130301002004012024052144333110220441323050140321042124252545535515435...

60/107=0,3210421242525455355154353150341122244533511423250541523451343130301002004012024052144333110220441323050140...

61/107=0,3230501403210421242525455355154353150341122244533511423250541523451343130301002004012024052144333110220441...

62/107=0,3250541523451343130301002004012024052144333110220441323050140321042124252545535515435315034112224453351142...

63/107=0,3311022044132305014032104212425254553551543531503411222445335114232505415234513431303010020040120240521443...

64/107=0,3331102204413230501403210421242525455355154353150341122244533511423250541523451343130301002004012024052144...

65/107=0,3351142325054152345134313030100200401202405214433311022044132305014032104212425254553551543531503411222445...

66/107=0,3411222445335114232505415234513431303010020040120240521443331102204413230501403210421242525455355154353150...

67/107=0,3431303010020040120240521443331102204413230501403210421242525455355154353150341122244533511423250541523451...

68/107=0,3451343130301002004012024052144333110220441323050140321042124252545535515435315034112224453351142325054152...

69/107=0,3511423250541523451343130301002004012024052144333110220441323050140321042124252545535515435315034112224453...

70/107=0,3531503411222445335114232505415234513431303010020040120240521443331102204413230501403210421242525455355154...

71/107=0,3551543531503411222445335114232505415234513431303010020040120240521443331102204413230501403210421242525455...

72/107=0,4012024052144333110220441323050140321042124252545535515435315034112224453351142325054152345134313030100200...

73/107=0,4032104212425254553551543531503411222445335114232505415234513431303010020040120240521443331102204413230501...

74/107=0,4052144333110220441323050140321042124252545535515435315034112224453351142325054152345134313030100200401202...

75/107=0,4112224453351142325054152345134313030100200401202405214433311022044132305014032104212425254553551543531503...

76/107=0,4132305014032104212425254553551543531503411222445335114232505415234513431303010020040120240521443331102204...

77/107=0,4152345134313030100200401202405214433311022044132305014032104212425254553551543531503411222445335114232505...

78/107=0,4212425254553551543531503411222445335114232505415234513431303010020040120240521443331102204413230501403210...

79/107=0,4232505415234513431303010020040120240521443331102204413230501403210421242525455355154353150341122244533511...

80/107=0,4252545535515435315034112224453351142325054152345134313030100200401202405214433311022044132305014032104212...

81/107=0,4313030100200401202405214433311022044132305014032104212425254553551543531503411222445335114232505415234513...

82/107=0,4333110220441323050140321042124252545535515435315034112224453351142325054152345134313030100200401202405214...

83/107=0,4353150341122244533511423250541523451343130301002004012024052144333110220441323050140321042124252545535515...

84/107=0,4413230501403210421242525455355154353150341122244533511423250541523451343130301002004012024052144333110220...

85/107=0,4433311022044132305014032104212425254553551543531503411222445335114232505415234513431303010020040120240521...

86/107=0,4453351142325054152345134313030100200401202405214433311022044132305014032104212425254553551543531503411222...

87/107=0,4513431303010020040120240521443331102204413230501403210421242525455355154353150341122244533511423250541523...

88/107=0,4533511423250541523451343130301002004012024052144333110220441323050140321042124252545535515435315034112224...

89/107=0,4553551543531503411222445335114232505415234513431303010020040120240521443331102204413230501403210421242525...

90/107=0,5014032104212425254553551543531503411222445335114232505415234513431303010020040120240521443331102204413230...

91/107=0,5034112224453351142325054152345134313030100200401202405214433311022044132305014032104212425254553551543531...

92/107=0,5054152345134313030100200401202405214433311022044132305014032104212425254553551543531503411222445335114232...

93/107=0,5114232505415234513431303010020040120240521443331102204413230501403210421242525455355154353150341122244533...

94/107=0,5134313030100200401202405214433311022044132305014032104212425254553551543531503411222445335114232505415234...

95/107=0,5154353150341122244533511423250541523451343130301002004012024052144333110220441323050140321042124252545535...

96/107=0,5214433311022044132305014032104212425254553551543531503411222445335114232505415234513431303010020040120240...

97/107=0,5234513431303010020040120240521443331102204413230501403210421242525455355154353150341122244533511423250541...

98/107=0,5254553551543531503411222445335114232505415234513431303010020040120240521443331102204413230501403210421242...

99/107=0,5315034112224453351142325054152345134313030100200401202405214433311022044132305014032104212425254553551543...

100/107=0,5335114232505415234513431303010020040120240521443331102204413230501403210421242525455355154353150341122244...

101/107=0,5355154353150341122244533511423250541523451343130301002004012024052144333110220441323050140321042124252545...

102/107=0,5415234513431303010020040120240521443331102204413230501403210421242525455355154353150341122244533511423250...

103/107=0,5435315034112224453351142325054152345134313030100200401202405214433311022044132305014032104212425254553551...

104/107=0,5455355154353150341122244533511423250541523451343130301002004012024052144333110220441323050140321042124252...

105/107=0,5515435315034112224453351142325054152345134313030100200401202405214433311022044132305014032104212425254553...

106/107=0,5535515435315034112224453351142325054152345134313030100200401202405214433311022044132305014032104212425254...