Une période unique fait résonner toutes les fractions de n/113 en base 6.  

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

1/113=0,0015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411...

2/113=0,0034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222...

3/113=0,0054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033...

4/113=0,0113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444...

5/113=0,0133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255...

6/113=0,0152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110...

7/113=0,0212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521...

8/113=0,0231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332...

9/113=0,0251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143...

10/113=0,0310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554...

11/113=0,0330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405...

12/113=0,0345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220...

13/113=0,0405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031...

14/113=0,0424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442...

15/113=0,0444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253...

16/113=0,0503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104...

17/113=0,0522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515...

18/113=0,0542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330...

19/113=0,1001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141...

20/113=0,1021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552...

21/113=0,1040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403...

22/113=0,1100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214...

23/113=0,1115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025...

24/113=0,1135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440...

25/113=0,1154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251...

26/113=0,1214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102...

27/113=0,1233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513...

28/113=0,1253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324...

29/113=0,1312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135...

30/113=0,1332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550...

31/113=0,1351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401...

32/113=0,1411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212...

33/113=0,1430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023...

34/113=0,1445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434...

35/113=0,1505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245...

36/113=0,1524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100...

37/113=0,1544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511...

38/113=0,2003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322...

39/113=0,2023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133...

40/113=0,2042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544...

41/113=0,2102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355...

42/113=0,2121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210...

43/113=0,2141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021...

44/113=0,2200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432...

45/113=0,2220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243...

46/113=0,2235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054...

47/113=0,2255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505...

48/113=0,2314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320...

49/113=0,2333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131...

50/113=0,2353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542...

51/113=0,2412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353...

52/113=0,2432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204...

53/113=0,2451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015...

54/113=0,2511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430...

55/113=0,2530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241...

56/113=0,2550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052...

57/113=0,3005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503...

58/113=0,3025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314...

59/113=0,3044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125...

60/113=0,3104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540...

61/113=0,3123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351...

62/113=0,3143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202...

63/113=0,3202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013...

64/113=0,3222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424...

65/113=0,3241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235...

66/113=0,3300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050...

67/113=0,3320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501...

68/113=0,3335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312...

69/113=0,3355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123...

70/113=0,3414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534...

71/113=0,3434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345...

72/113=0,3453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200...

73/113=0,3513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011...

74/113=0,3532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422...

75/113=0,3552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233...

76/113=0,4011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005422353241253044...

77/113=0,4031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455...

78/113=0,4050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310...

79/113=0,4110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121...

80/113=0,4125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532...

81/113=0,4144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343...

82/113=0,4204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154...

83/113=0,4223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445540310405033005...

84/113=0,4243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420...

85/113=0,4302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231...

86/113=0,4322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042...

87/113=0,4341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453...

88/113=0,4401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304...

89/113=0,4420424322200345343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115...

90/113=0,4440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530...

91/113=0,4455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341...

92/113=0,4515052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152...

93/113=0,4534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003...

94/113=0,4554031040503300542235324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414...

95/113=0,5013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225...

96/113=0,5033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040...

97/113=0,5052255013320231430251115442042432220034534341445540310405033005422353241253044401135131233355210212141100152451...

98/113=0,5111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522550133202314302...

99/113=0,5131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113...

100/113=0,5150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001524...

101/113=0,5210212141100152451505225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335...

102/113=0,5225501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150...

103/113=0,5245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333552102121411001...

104/113=0,5304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412...

105/113=0,5324125304440113513123335521021214110015245150522550133202314302511154420424322200345343414455403104050330054223...

106/113=0,5343414455403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034...

107/113=0,5403104050330054223532412530444011351312333552102121411001524515052255013320231430251115442042432220034534341445...

108/113=0,5422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144554031040503300...

109/113=0,5442042432220034534341445540310405033005422353241253044401135131233355210212141100152451505225501332023143025111...

110/113=0,5501332023143025111544204243222003453434144554031040503300542235324125304440113513123335521021214110015245150522...

111/113=0,5521021214110015245150522550133202314302511154420424322200345343414455403104050330054223532412530444011351312333...

112/113=0,5540310405033005422353241253044401135131233355210212141100152451505225501332023143025111544204243222003453434144...