Une période unique fait résonner toutes les fractions de n/83 en base 6.  

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

1/83=0,0023340420051121240142242520324525441053455322151355044343154133130352310301145021...

2/83=0,0051121240142242520324525441053455322151355044343154133130352310301145021002334042...

3/83=0,0114502100233404200511212401422425203245254410534553221513550443431541331303523103...

4/83=0,0142242520324525441053455322151355044343154133130352310301145021002334042005112124...

5/83=0,0210023340420051121240142242520324525441053455322151355044343154133130352310301145...

6/83=0,0233404200511212401422425203245254410534553221513550443431541331303523103011450210...

7/83=0,0301145021002334042005112124014224252032452544105345532215135504434315413313035231...

8/83=0,0324525441053455322151355044343154133130352310301145021002334042005112124014224252...

9/83=0,0352310301145021002334042005112124014224252032452544105345532215135504434315413313...

10/83=0,0420051121240142242520324525441053455322151355044343154133130352310301145021002334...

11/83=0,0443431541331303523103011450210023340420051121240142242520324525441053455322151355...

12/83=0,0511212401422425203245254410534553221513550443431541331303523103011450210023340420...

13/83=0,0534553221513550443431541331303523103011450210023340420051121240142242520324525441...

14/83=0,1002334042005112124014224252032452544105345532215135504434315413313035231030114502...

15/83=0,1030114502100233404200511212401422425203245254410534553221513550443431541331303523...

16/83=0,1053455322151355044343154133130352310301145021002334042005112124014224252032452544...

17/83=0,1121240142242520324525441053455322151355044343154133130352310301145021002334042005...

18/83=0,1145021002334042005112124014224252032452544105345532215135504434315413313035231030...

19/83=0,1212401422425203245254410534553221513550443431541331303523103011450210023340420051...

20/83=0,1240142242520324525441053455322151355044343154133130352310301145021002334042005112...

21/83=0,1303523103011450210023340420051121240142242520324525441053455322151355044343154133...

22/83=0,1331303523103011450210023340420051121240142242520324525441053455322151355044343154...

23/83=0,1355044343154133130352310301145021002334042005112124014224252032452544105345532215...

24/83=0,1422425203245254410534553221513550443431541331303523103011450210023340420051121240...

25/83=0,1450210023340420051121240142242520324525441053455322151355044343154133130352310301...

26/83=0,1513550443431541331303523103011450210023340420051121240142242520324525441053455322...

27/83=0,1541331303523103011450210023340420051121240142242520324525441053455322151355044343...

28/83=0,2005112124014224252032452544105345532215135504434315413313035231030114502100233404...

29/83=0,2032452544105345532215135504434315413313035231030114502100233404200511212401422425...

30/83=0,2100233404200511212401422425203245254410534553221513550443431541331303523103011450...

31/83=0,2124014224252032452544105345532215135504434315413313035231030114502100233404200511...

32/83=0,2151355044343154133130352310301145021002334042005112124014224252032452544105345532...

33/83=0,2215135504434315413313035231030114502100233404200511212401422425203245254410534553...

34/83=0,2242520324525441053455322151355044343154133130352310301145021002334042005112124014...

35/83=0,2310301145021002334042005112124014224252032452544105345532215135504434315413313035...

36/83=0,2334042005112124014224252032452544105345532215135504434315413313035231030114502100...

37/83=0,2401422425203245254410534553221513550443431541331303523103011450210023340420051121...

38/83=0,2425203245254410534553221513550443431541331303523103011450210023340420051121240142...

39/83=0,2452544105345532215135504434315413313035231030114502100233404200511212401422425203...

40/83=0,2520324525441053455322151355044343154133130352310301145021002334042005112124014224...

41/83=0,2544105345532215135504434315413313035231030114502100233404200511212401422425203245...

42/83=0,3011450210023340420051121240142242520324525441053455322151355044343154133130352310...

43/83=0,3035231030114502100233404200511212401422425203245254410534553221513550443431541331...

44/83=0,3103011450210023340420051121240142242520324525441053455322151355044343154133130352...

45/83=0,3130352310301145021002334042005112124014224252032452544105345532215135504434315413...

46/83=0,3154133130352310301145021002334042005112124014224252032452544105345532215135504434...

47/83=0,3221513550443431541331303523103011450210023340420051121240142242520324525441053455...

48/83=0,3245254410534553221513550443431541331303523103011450210023340420051121240142242520...

49/83=0,3313035231030114502100233404200511212401422425203245254410534553221513550443431541...

50/83=0,3340420051121240142242520324525441053455322151355044343154133130352310301145021002...

51/83=0,3404200511212401422425203245254410534553221513550443431541331303523103011450210023...

52/83=0,3431541331303523103011450210023340420051121240142242520324525441053455322151355044...

53/83=0,3455322151355044343154133130352310301145021002334042005112124014224252032452544105...

54/83=0,3523103011450210023340420051121240142242520324525441053455322151355044343154133130...

55/83=0,3550443431541331303523103011450210023340420051121240142242520324525441053455322151...

56/83=0,4014224252032452544105345532215135504434315413313035231030114502100233404200511212...

57/83=0,4042005112124014224252032452544105345532215135504434315413313035231030114502100233...

58/83=0,4105345532215135504434315413313035231030114502100233404200511212401422425203245254...

59/83=0,4133130352310301145021002334042005112124014224252032452544105345532215135504434315...

60/83=0,4200511212401422425203245254410534553221513550443431541331303523103011450210023340...

61/83=0,4224252032452544105345532215135504434315413313035231030114502100233404200511212401...

62/83=0,4252032452544105345532215135504434315413313035231030114502100233404200511212401422...

63/83=0,4315413313035231030114502100233404200511212401422425203245254410534553221513550443...

64/83=0,4343154133130352310301145021002334042005112124014224252032452544105345532215135504...

65/83=0,4410534553221513550443431541331303523103011450210023340420051121240142242520324525...

66/83=0,4434315413313035231030114502100233404200511212401422425203245254410534553221513550...

67/83=0,4502100233404200511212401422425203245254410534553221513550443431541331303523103011...

68/83=0,4525441053455322151355044343154133130352310301145021002334042005112124014224252032...

69/83=0,4553221513550443431541331303523103011450210023340420051121240142242520324525441053...

70/83=0,5021002334042005112124014224252032452544105345532215135504434315413313035231030114...

71/83=0,5044343154133130352310301145021002334042005112124014224252032452544105345532215135...

72/83=0,5112124014224252032452544105345532215135504434315413313035231030114502100233404200...

73/83=0,5135504434315413313035231030114502100233404200511212401422425203245254410534553221...

74/83=0,5203245254410534553221513550443431541331303523103011450210023340420051121240142242...

75/83=0,5231030114502100233404200511212401422425203245254410534553221513550443431541331303...

76/83=0,5254410534553221513550443431541331303523103011450210023340420051121240142242520324...

77/83=0,5322151355044343154133130352310301145021002334042005112124014224252032452544105345...

78/83=0,5345532215135504434315413313035231030114502100233404200511212401422425203245254410...

79/83=0,5413313035231030114502100233404200511212401422425203245254410534553221513550443431...

80/83=0,5441053455322151355044343154133130352310301145021002334042005112124014224252032452...

81/83=0,5504434315413313035231030114502100233404200511212401422425203245254410534553221513...

82/83=0,5532215135504434315413313035231030114502100233404200511212401422425203245254410534...