Liste des fractions de n/109 en base 6.

Une période unique fait résonner toutes les fractions de n/109 en base 6.  

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

1/109=0,001552011532051412330454203145221113324502151213125300554003544023504143225101352410334442231053404342430255...

2/109=0,003544023504143225101352410334442231053404342430255001552011532051412330454203145221113324502151213125300554...

3/109=0,005540035440235041432251013524103344422310534043424302550015520115320514123304542031452211133245021512131253...

4/109=0,011532051412330454203145221113324502151213125300554003544023504143225101352410334442231053404342430255001552...

5/109=0,013524103344422310534043424302550015520115320514123304542031452211133245021512131253005540035440235041432251...

6/109=0,015520115320514123304542031452211133245021512131253005540035440235041432251013524103344422310534043424302550...

7/109=0,021512131253005540035440235041432251013524103344422310534043424302550015520115320514123304542031452211133245...

8/109=0,023504143225101352410334442231053404342430255001552011532051412330454203145221113324502151213125300554003544...

9/109=0,025500155201153205141233045420314522111332450215121312530055400354402350414322510135241033444223105340434243...

10/109=0,031452211133245021512131253005540035440235041432251013524103344422310534043424302550015520115320514123304542...

11/109=0,033444223105340434243025500155201153205141233045420314522111332450215121312530055400354402350414322510135241...

12/109=0,035440235041432251013524103344422310534043424302550015520115320514123304542031452211133245021512131253005540...

13/109=0,041432251013524103344422310534043424302550015520115320514123304542031452211133245021512131253005540035440235...

14/109=0,043424302550015520115320514123304542031452211133245021512131253005540035440235041432251013524103344422310534...

15/109=0,045420314522111332450215121312530055400354402350414322510135241033444223105340434243025500155201153205141233...

16/109=0,051412330454203145221113324502151213125300554003544023504143225101352410334442231053404342430255001552011532...

17/109=0,053404342430255001552011532051412330454203145221113324502151213125300554003544023504143225101352410334442231...

18/109=0,055400354402350414322510135241033444223105340434243025500155201153205141233045420314522111332450215121312530...

19/109=0,101352410334442231053404342430255001552011532051412330454203145221113324502151213125300554003544023504143225...

20/109=0,103344422310534043424302550015520115320514123304542031452211133245021512131253005540035440235041432251013524...

21/109=0,105340434243025500155201153205141233045420314522111332450215121312530055400354402350414322510135241033444223...

22/109=0,111332450215121312530055400354402350414322510135241033444223105340434243025500155201153205141233045420314522...

23/109=0,113324502151213125300554003544023504143225101352410334442231053404342430255001552011532051412330454203145221...

24/109=0,115320514123304542031452211133245021512131253005540035440235041432251013524103344422310534043424302550015520...

25/109=0,121312530055400354402350414322510135241033444223105340434243025500155201153205141233045420314522111332450215...

26/109=0,123304542031452211133245021512131253005540035440235041432251013524103344422310534043424302550015520115320514...

27/109=0,125300554003544023504143225101352410334442231053404342430255001552011532051412330454203145221113324502151213...

28/109=0,131253005540035440235041432251013524103344422310534043424302550015520115320514123304542031452211133245021512...

29/109=0,133245021512131253005540035440235041432251013524103344422310534043424302550015520115320514123304542031452211...

30/109=0,135241033444223105340434243025500155201153205141233045420314522111332450215121312530055400354402350414322510...

31/109=0,141233045420314522111332450215121312530055400354402350414322510135241033444223105340434243025500155201153205...

32/109=0,143225101352410334442231053404342430255001552011532051412330454203145221113324502151213125300554003544023504...

33/109=0,145221113324502151213125300554003544023504143225101352410334442231053404342430255001552011532051412330454203...

34/109=0,151213125300554003544023504143225101352410334442231053404342430255001552011532051412330454203145221113324502...

35/109=0,153205141233045420314522111332450215121312530055400354402350414322510135241033444223105340434243025500155201...

36/109=0,155201153205141233045420314522111332450215121312530055400354402350414322510135241033444223105340434243025500...

37/109=0,201153205141233045420314522111332450215121312530055400354402350414322510135241033444223105340434243025500155...

38/109=0,203145221113324502151213125300554003544023504143225101352410334442231053404342430255001552011532051412330454...

39/109=0,205141233045420314522111332450215121312530055400354402350414322510135241033444223105340434243025500155201153...

40/109=0,211133245021512131253005540035440235041432251013524103344422310534043424302550015520115320514123304542031452...

41/109=0,213125300554003544023504143225101352410334442231053404342430255001552011532051412330454203145221113324502151...

42/109=0,215121312530055400354402350414322510135241033444223105340434243025500155201153205141233045420314522111332450...

43/109=0,221113324502151213125300554003544023504143225101352410334442231053404342430255001552011532051412330454203145...

44/109=0,223105340434243025500155201153205141233045420314522111332450215121312530055400354402350414322510135241033444...

45/109=0,225101352410334442231053404342430255001552011532051412330454203145221113324502151213125300554003544023504143...

46/109=0,231053404342430255001552011532051412330454203145221113324502151213125300554003544023504143225101352410334442...

47/109=0,233045420314522111332450215121312530055400354402350414322510135241033444223105340434243025500155201153205141...

48/109=0,235041432251013524103344422310534043424302550015520115320514123304542031452211133245021512131253005540035440...

49/109=0,241033444223105340434243025500155201153205141233045420314522111332450215121312530055400354402350414322510135...

50/109=0,243025500155201153205141233045420314522111332450215121312530055400354402350414322510135241033444223105340434...

51/109=0,245021512131253005540035440235041432251013524103344422310534043424302550015520115320514123304542031452211133...

52/109=0,251013524103344422310534043424302550015520115320514123304542031452211133245021512131253005540035440235041432...

53/109=0,253005540035440235041432251013524103344422310534043424302550015520115320514123304542031452211133245021512131...

54/109=0,255001552011532051412330454203145221113324502151213125300554003544023504143225101352410334442231053404342430...

55/109=0,300554003544023504143225101352410334442231053404342430255001552011532051412330454203145221113324502151213125...

56/109=0,302550015520115320514123304542031452211133245021512131253005540035440235041432251013524103344422310534043424...

57/109=0,304542031452211133245021512131253005540035440235041432251013524103344422310534043424302550015520115320514123...

58/109=0,310534043424302550015520115320514123304542031452211133245021512131253005540035440235041432251013524103344422...

59/109=0,312530055400354402350414322510135241033444223105340434243025500155201153205141233045420314522111332450215121...

60/109=0,314522111332450215121312530055400354402350414322510135241033444223105340434243025500155201153205141233045420...

61/109=0,320514123304542031452211133245021512131253005540035440235041432251013524103344422310534043424302550015520115...

62/109=0,322510135241033444223105340434243025500155201153205141233045420314522111332450215121312530055400354402350414...

63/109=0,324502151213125300554003544023504143225101352410334442231053404342430255001552011532051412330454203145221113...

64/109=0,330454203145221113324502151213125300554003544023504143225101352410334442231053404342430255001552011532051412...

65/109=0,332450215121312530055400354402350414322510135241033444223105340434243025500155201153205141233045420314522111...

66/109=0,334442231053404342430255001552011532051412330454203145221113324502151213125300554003544023504143225101352410...

67/109=0,340434243025500155201153205141233045420314522111332450215121312530055400354402350414322510135241033444223105...

68/109=0,342430255001552011532051412330454203145221113324502151213125300554003544023504143225101352410334442231053404...

69/109=0,344422310534043424302550015520115320514123304542031452211133245021512131253005540035440235041432251013524103...

70/109=0,350414322510135241033444223105340434243025500155201153205141233045420314522111332450215121312530055400354402...

71/109=0,352410334442231053404342430255001552011532051412330454203145221113324502151213125300554003544023504143225101...

72/109=0,354402350414322510135241033444223105340434243025500155201153205141233045420314522111332450215121312530055400...

73/109=0,400354402350414322510135241033444223105340434243025500155201153205141233045420314522111332450215121312530055...

74/109=0,402350414322510135241033444223105340434243025500155201153205141233045420314522111332450215121312530055400354...

75/109=0,404342430255001552011532051412330454203145221113324502151213125300554003544023504143225101352410334442231053...

76/109=0,410334442231053404342430255001552011532051412330454203145221113324502151213125300554003544023504143225101352...

77/109=0,412330454203145221113324502151213125300554003544023504143225101352410334442231053404342430255001552011532051...

78/109=0,414322510135241033444223105340434243025500155201153205141233045420314522111332450215121312530055400354402350...

79/109=0,420314522111332450215121312530055400354402350414322510135241033444223105340434243025500155201153205141233045...

80/109=0,422310534043424302550015520115320514123304542031452211133245021512131253005540035440235041432251013524103344...

81/109=0,424302550015520115320514123304542031452211133245021512131253005540035440235041432251013524103344422310534043...

82/109=0,430255001552011532051412330454203145221113324502151213125300554003544023504143225101352410334442231053404342...

83/109=0,432251013524103344422310534043424302550015520115320514123304542031452211133245021512131253005540035440235041...

84/109=0,434243025500155201153205141233045420314522111332450215121312530055400354402350414322510135241033444223105340...

85/109=0,440235041432251013524103344422310534043424302550015520115320514123304542031452211133245021512131253005540035...

86/109=0,442231053404342430255001552011532051412330454203145221113324502151213125300554003544023504143225101352410334...

87/109=0,444223105340434243025500155201153205141233045420314522111332450215121312530055400354402350414322510135241033...

88/109=0,450215121312530055400354402350414322510135241033444223105340434243025500155201153205141233045420314522111332...

89/109=0,452211133245021512131253005540035440235041432251013524103344422310534043424302550015520115320514123304542031...

90/109=0,454203145221113324502151213125300554003544023504143225101352410334442231053404342430255001552011532051412330...

91/109=0,500155201153205141233045420314522111332450215121312530055400354402350414322510135241033444223105340434243025...

92/109=0,502151213125300554003544023504143225101352410334442231053404342430255001552011532051412330454203145221113324...

93/109=0,504143225101352410334442231053404342430255001552011532051412330454203145221113324502151213125300554003544023...

94/109=0,510135241033444223105340434243025500155201153205141233045420314522111332450215121312530055400354402350414322...

95/109=0,512131253005540035440235041432251013524103344422310534043424302550015520115320514123304542031452211133245021...

96/109=0,514123304542031452211133245021512131253005540035440235041432251013524103344422310534043424302550015520115320...

97/109=0,520115320514123304542031452211133245021512131253005540035440235041432251013524103344422310534043424302550015...

98/109=0,522111332450215121312530055400354402350414322510135241033444223105340434243025500155201153205141233045420314...

99/109=0,524103344422310534043424302550015520115320514123304542031452211133245021512131253005540035440235041432251013...

100/109=0,530055400354402350414322510135241033444223105340434243025500155201153205141233045420314522111332450215121312...

101/109=0,532051412330454203145221113324502151213125300554003544023504143225101352410334442231053404342430255001552011...

102/109=0,534043424302550015520115320514123304542031452211133245021512131253005540035440235041432251013524103344422310...

103/109=0,540035440235041432251013524103344422310534043424302550015520115320514123304542031452211133245021512131253005...

104/109=0,542031452211133245021512131253005540035440235041432251013524103344422310534043424302550015520115320514123304...

105/109=0,544023504143225101352410334442231053404342430255001552011532051412330454203145221113324502151213125300554003...

106/109=0,550015520115320514123304542031452211133245021512131253005540035440235041432251013524103344422310534043424302...

107/109=0,552011532051412330454203145221113324502151213125300554003544023504143225101352410334442231053404342430255001...

108/109=0,554003544023504143225101352410334442231053404342430255001552011532051412330454203145221113324502151213125300...