Une période unique fait résonner toutes les fractions de n/137 en base 6.  

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

1/137=0,0013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451...

2/137=0,0030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342...

3/137=0,0044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233...

4/137=0,0101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124...

5/137=0,0115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015...

6/137=0,0132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510...

7/137=0,0150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401...

8/137=0,0203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252...

9/137=0,0221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143...

10/137=0,0234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034...

11/137=0,0252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525...

12/137=0,0305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420...

13/137=0,0322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311...

14/137=0,0340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202...

15/137=0,0353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053...

16/137=0,0411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544...

17/137=0,0424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435...

18/137=0,0442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330...

19/137=0,0455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221...

20/137=0,0513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112...

21/137=0,0530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003...

22/137=0,0544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454...

23/137=0,1001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345...

24/137=0,1015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240...

25/137=0,1032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131...

26/137=0,1045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022...

27/137=0,1103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513...

28/137=0,1120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404...

29/137=0,1134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255...

30/137=0,1151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150...

31/137=0,1205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041...

32/137=0,1222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532...

33/137=0,1240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423...

34/137=0,1253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314...

35/137=0,1311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205...

36/137=0,1324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100...

37/137=0,1342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551...

38/137=0,1355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442...

39/137=0,1412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333...

40/137=0,1430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224...

41/137=0,1443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115...

42/137=0,1501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010...

43/137=0,1514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501...

44/137=0,1532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352...

45/137=0,1545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243...

46/137=0,2003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134...

47/137=0,2020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025...

48/137=0,2034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520...

49/137=0,2051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411...

50/137=0,2104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302...

51/137=0,2122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153...

52/137=0,2135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044...

53/137=0,2153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535...

54/137=0,2210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430...

55/137=0,2224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321...

56/137=0,2241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212...

57/137=0,2255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103...

58/137=0,2312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554...

59/137=0,2330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445...

60/137=0,2343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340...

61/137=0,2401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231...

62/137=0,2414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122...

63/137=0,2431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013...

64/137=0,2445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504...

65/137=0,2502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355...

66/137=0,2520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250...

67/137=0,2533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141...

68/137=0,2551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032...

69/137=0,3004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523...

70/137=0,3022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414...

71/137=0,3035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305...

72/137=0,3053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200...

73/137=0,3110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051...

74/137=0,3124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542...

75/137=0,3141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433...

76/137=0,3154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324...

77/137=0,3212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215...

78/137=0,3225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110...

79/137=0,3243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001...

80/137=0,3300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452...

81/137=0,3314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343...

82/137=0,3331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234...

83/137=0,3345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125...

84/137=0,3402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020...

85/137=0,3420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511...

86/137=0,3433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402...

87/137=0,3451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253...

88/137=0,3504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144...

89/137=0,3521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035...

90/137=0,3535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530...

91/137=0,3552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421...

92/137=0,4010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312...

93/137=0,4023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203...

94/137=0,4041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054...

95/137=0,4054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545...

96/137=0,4112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440...

97/137=0,4125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331...

98/137=0,4143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222...

99/137=0,4200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113...

100/137=0,4213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004...

101/137=0,4231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455...

102/137=0,4244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350...

103/137=0,4302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241...

104/137=0,4315454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132...

105/137=0,4333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023...

106/137=0,4350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514...

107/137=0,4404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405...

108/137=0,4421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300...

109/137=0,4435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151...

110/137=0,4452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011514435042...

111/137=0,4510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533...

112/137=0,4523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424...

113/137=0,4540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315...

114/137=0,4554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210...

115/137=0,5011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101...

116/137=0,5025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552...

117/137=0,5042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443...

118/137=0,5100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334...

119/137=0,5113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225...

120/137=0,5131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120...

121/137=0,5144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045542312401015011...

122/137=0,5202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502...

123/137=0,5215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353...

124/137=0,5233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244...

125/137=0,5250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135...

126/137=0,5303535215321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030...

127/137=0,5321222414302210455423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521...

128/137=0,5334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213552502520203402343331412...

129/137=0,5352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322551134200305303...

130/137=0,5405440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154...

131/137=0,5423124010150115144350424452330044213552502520203402343331412533451001324315454054404112051311032255113420030530353521532122241430221045...

132/137=0,5440411205131103225511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540...

133/137=0,5454054404112051311032255113420030530353521532122241430221045542312401015011514435042445233004421355250252020340234333141253345100132431...

134/137=0,5511342003053035352153212224143022104554231240101501151443504244523300442135525025202034023433314125334510013243154540544041120513110322...

135/137=0,5525025202034023433314125334510013243154540544041120513110322551134200305303535215321222414302210455423124010150115144350424452330044213...

136/137=0,5542312401015011514435042445233004421355250252020340234333141253345100132431545405440411205131103225511342003053035352153212224143022104...