Une période unique fait résonner toutes les fractions de n/127 en base 6.  

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

1/127=0,001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025...

2/127=0,003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054...

3/127=0,005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123...

4/127=0,010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152...

5/127=0,012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221...

6/127=0,014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250...

7/127=0,015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315...

8/127=0,021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344...

9/127=0,023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413...

10/127=0,025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442...

11/127=0,030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511...

12/127=0,032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540...

13/127=0,034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005...

14/127=0,035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034...

15/127=0,041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103...

16/127=0,043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132...

17/127=0,044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201...

18/127=0,050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230...

19/127=0,052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255...

20/127=0,054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324...

21/127=0,055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353...

22/127=0,101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422...

23/127=0,103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451...

24/127=0,104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520...

25/127=0,110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545...

26/127=0,112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014...

27/127=0,113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043...

28/127=0,115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112...

29/127=0,121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141...

30/127=0,123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210...

31/127=0,124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235...

32/127=0,130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304...

33/127=0,132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333...

34/127=0,133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402...

35/127=0,135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431...

36/127=0,141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500...

37/127=0,142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525...

38/127=0,144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554...

39/127=0,150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023...

40/127=0,152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052...

41/127=0,153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121...

42/127=0,155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150...

43/127=0,201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215...

44/127=0,202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244...

45/127=0,204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313...

46/127=0,210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342...

47/127=0,211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411...

48/127=0,213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440...

49/127=0,215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505...

50/127=0,221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534...

51/127=0,222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003...

52/127=0,224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032...

53/127=0,230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101...

54/127=0,231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130...

55/127=0,233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155...

56/127=0,235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224...

57/127=0,240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253...

58/127=0,242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322...

59/127=0,244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351...

60/127=0,250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420...

61/127=0,251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445...

62/127=0,253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514...

63/127=0,255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543...

64/127=0,300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012...

65/127=0,302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041...

66/127=0,304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110...

67/127=0,305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135...

68/127=0,311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204...

69/127=0,313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233...

70/127=0,315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302...

71/127=0,320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331...

72/127=0,322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400...

73/127=0,324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425...

74/127=0,325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454...

75/127=0,331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523...

76/127=0,333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552...

77/127=0,334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021...

78/127=0,340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050...

79/127=0,342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115...

80/127=0,344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144...

81/127=0,345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213...

82/127=0,351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242...

83/127=0,353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311...

84/127=0,354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340...

85/127=0,400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405...

86/127=0,402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434...

87/127=0,403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503...

88/127=0,405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532...

89/127=0,411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001...

90/127=0,413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030...

91/127=0,414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055...

92/127=0,420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124...

93/127=0,422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153...

94/127=0,423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222...

95/127=0,425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251...

96/127=0,431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320...

97/127=0,432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345...

98/127=0,434402133454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414...

99/127=0,440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443...

100/127=0,442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512...

101/127=0,443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541...

102/127=0,445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010...

103/127=0,451103041302315015523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035...

104/127=0,452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104...

105/127=0,454325505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133...

106/127=0,500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202...

107/127=0,501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231...

108/127=0,503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300...

109/127=0,505215201044525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325...

110/127=0,511030413023150155233313204311353055414434402133454325505215201044525142532405400322242351244202500141121153422101230050340354...

111/127=0,512442025001411211534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423...

112/127=0,514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452...

113/127=0,520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521...

114/127=0,521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550...

115/127=0,523331320431135305541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015...

116/127=0,525142532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044...

117/127=0,530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113...

118/127=0,532405400322242351244202500141121153422101230050340354511030413023150155233313204311353055414434402133454325505215201044525142...

119/127=0,534221012300503403545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211...

120/127=0,540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432550521520104452514253240...

121/127=0,541443440213345432550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305...

122/127=0,543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530554144344021334...

123/127=0,545110304130231501552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403...

124/127=0,550521520104452514253240540032224235124420250014112115342210123005034035451103041302315015523331320431135305541443440213345432...

125/127=0,552333132043113530554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501...

126/127=0,554144344021334543255052152010445251425324054003222423512442025001411211534221012300503403545110304130231501552333132043113530...