Une période unique fait résonner toutes les fractions de n/113 en base 3.  

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

1/113=0,0000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121...

2/113=0,0001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012...

3/113=0,0002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210...

4/113=0,0002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101...

5/113=0,0010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222...

6/113=0,0011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120...

7/113=0,0012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011...

8/113=0,0012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202...

9/113=0,0020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100...

10/113=0,0021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221...

11/113=0,0021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112...

12/113=0,0022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010...

13/113=0,0100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201...

14/113=0,0101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022...

15/113=0,0101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220...

16/113=0,0102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111...

17/113=0,0110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002...

18/113=0,0110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200...

19/113=0,0111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021...

20/113=0,0112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212...

21/113=0,0120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110...

22/113=0,0120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001...

23/113=0,0121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122...

24/113=0,0122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020...

25/113=0,0122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211...

26/113=0,0200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102...

27/113=0,0201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000...

28/113=0,0202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121...

29/113=0,0202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012...

30/113=0,0210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210...

31/113=0,0211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101...

32/113=0,0211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222...

33/113=0,0212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120...

34/113=0,0220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011...

35/113=0,0221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202...

36/113=0,0221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100...

37/113=0,0222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221...

38/113=0,1000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112...

39/113=0,1000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010...

40/113=0,1001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201...

41/113=0,1002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022...

42/113=0,1010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220...

43/113=0,1010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111...

44/113=0,1011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002...

45/113=0,1012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200...

46/113=0,1012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021...

47/113=0,1020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212...

48/113=0,1021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110...

49/113=0,1022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001...

50/113=0,1022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122...

51/113=0,1100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020...

52/113=0,1101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211...

53/113=0,1101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102...

54/113=0,1102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000...

55/113=0,1110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121...

56/113=0,1111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012...

57/113=0,1111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210...

58/113=0,1112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101...

59/113=0,1120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222...

60/113=0,1121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120...

61/113=0,1121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011...

62/113=0,1122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202...

63/113=0,1200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100...

64/113=0,1200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221...

65/113=0,1201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112...

66/113=0,1202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010...

67/113=0,1210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201...

68/113=0,1210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022...

69/113=0,1211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220...

70/113=0,1212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111...

71/113=0,1212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002...

72/113=0,1220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200...

73/113=0,1221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021...

74/113=0,1222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212...

75/113=0,1222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110...

76/113=0,2000110220101000221210202001220121111010211012222021122102221120021212220010120202210021011112120112100002011001...

77/113=0,2001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122...

78/113=0,2001220121111010211012222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020...

79/113=0,2002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211...

80/113=0,2010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102...

81/113=0,2011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011210000...

82/113=0,2011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100210111121...

83/113=0,2012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012...

84/113=0,2020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210...

85/113=0,2020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101...

86/113=0,2021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222...

87/113=0,2022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120...

88/113=0,2100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111212011...

89/113=0,2100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212220010120202...

90/113=0,2101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200212122200101202022100...

91/113=0,2102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221...

92/113=0,2102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112...

93/113=0,2110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010...

94/113=0,2111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201...

95/113=0,2112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022...

96/113=0,2112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220...

97/113=0,2120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020221002101111...

98/113=0,2121020200122012111101021101222202112210222112002121222001012020221002101111212011210000201100120001102201010002...

99/113=0,2121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211221022211200...

100/113=0,2122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021...

101/113=0,2200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102221120021212...

102/113=0,2201010002212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110...

103/113=0,2201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001...

104/113=0,2202112210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122...

105/113=0,2210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121222001012020...

106/113=0,2210222112002121222001012020221002101111212011210000201100120001102201010002212102020012201211110102110122220211...

107/113=0,2211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012222021122102...

108/113=0,2212102020012201211110102110122220211221022211200212122200101202022100210111121201121000020110012000110220101000...

109/113=0,2220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210222112002121...

110/113=0,2220211221022211200212122200101202022100210111121201121000020110012000110220101000221210202001220121111010211012...

111/113=0,2221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101222202112210...

112/113=0,2222021122102221120021212220010120202210021011112120112100002011001200011022010100022121020200122012111101021101...