Une période unique fait résonner toutes les fractions de n/151 en base 6.  

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

1/151=0,001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305...

2/151=0,002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014...

3/151=0,004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323...

4/151=0,005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032...

5/151=0,011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341...

6/151=0,012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050...

7/151=0,014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355...

8/151=0,015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104...

9/151=0,020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413...

10/151=0,022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122...

11/151=0,023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431...

12/151=0,025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140...

13/151=0,030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445...

14/151=0,032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154...

15/151=0,033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503...

16/151=0,034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212...

17/151=0,040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521...

18/151=0,041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230...

19/151=0,043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535...

20/151=0,044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244...

21/151=0,050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553...

22/151=0,051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302...

23/151=0,052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011...

24/151=0,054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320...

25/151=0,055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025...

26/151=0,101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334...

27/151=0,102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043...

28/151=0,104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352...

29/151=0,105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101...

30/151=0,110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410...

31/151=0,112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115...

32/151=0,113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424...

33/151=0,115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133...

34/151=0,120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442...

35/151=0,122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151...

36/151=0,123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500...

37/151=0,124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205...

38/151=0,130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514...

39/151=0,131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223...

40/151=0,133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532...

41/151=0,134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241...

42/151=0,140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550...

43/151=0,141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255...

44/151=0,142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004...

45/151=0,144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313...

46/151=0,145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022...

47/151=0,151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331...

48/151=0,152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040...

49/151=0,154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345...

50/151=0,155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054...

51/151=0,200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403...

52/151=0,202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112...

53/151=0,203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421...

54/151=0,205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130...

55/151=0,210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435...

56/151=0,212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144...

57/151=0,213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453...

58/151=0,214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202...

59/151=0,220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511...

60/151=0,221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220...

61/151=0,223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525...

62/151=0,224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234...

63/151=0,230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543...

64/151=0,231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252...

65/151=0,232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001...

66/151=0,234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310...

67/151=0,235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015...

68/151=0,241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324...

69/151=0,242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033...

70/151=0,244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342...

71/151=0,245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051...

72/151=0,250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400...

73/151=0,252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105...

74/151=0,253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414...

75/151=0,255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123...

76/151=0,300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432...

77/151=0,302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141...

78/151=0,303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450...

79/151=0,305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155...

80/151=0,310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504...

81/151=0,311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213...

82/151=0,313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522...

83/151=0,314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231...

84/151=0,320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540...

85/151=0,321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245...

86/151=0,323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554...

87/151=0,324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303...

88/151=0,325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012...

89/151=0,331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321...

90/151=0,332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030...

91/151=0,334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335...

92/151=0,335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044...

93/151=0,341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353...

94/151=0,342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102...

95/151=0,343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411...

96/151=0,345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120...

97/151=0,350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425...

98/151=0,352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134...

99/151=0,353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443...

100/151=0,355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152...

101/151=0,400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501...

102/151=0,401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210...

103/151=0,403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515...

104/151=0,404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224...

105/151=0,410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533...

106/151=0,411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242...

107/151=0,413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551...

108/151=0,414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300...

109/151=0,415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005...

110/151=0,421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314...

111/151=0,422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023...

112/151=0,424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332...

113/151=0,425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041...

114/151=0,431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350...

115/151=0,432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055...

116/151=0,433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404...

117/151=0,435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113...

118/151=0,440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422...

119/151=0,442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131...

120/151=0,443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440...

121/151=0,445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145...

122/151=0,450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454...

123/151=0,451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203...

124/151=0,453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512...

125/151=0,454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221...

126/151=0,500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415530...

127/151=0,501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235...

128/151=0,503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544...

129/151=0,504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253...

130/151=0,505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002...

131/151=0,511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311...

132/151=0,512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020...

133/151=0,514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325...

134/151=0,515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034...

135/151=0,521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343...

136/151=0,522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052...

137/151=0,523550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401...

138/151=0,525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110...

139/151=0,530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433533410110525223131442120345154032005415...

140/151=0,532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124...

141/151=0,533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523550140025055432300414253504310234224404433...

142/151=0,535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142...

143/151=0,540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451...

144/151=0,541553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200...

145/151=0,543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214544503033242411343521040152355014002505...

146/151=0,544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541553050012325514130205124532133115112202214...

147/151=0,550140025055432300414253504310234224404433533410110525223131442120345154032005415530500123255141302051245321331151122022145445030332424113435210401523...

148/151=0,551413020512453213311511220221454450303324241134352104015235501400250554323004142535043102342244044335334101105252231314421203451540320054155305001232...

149/151=0,553050012325514130205124532133115112202214544503033242411343521040152355014002505543230041425350431023422440443353341011052522313144212034515403200541...

150/151=0,554323004142535043102342244044335334101105252231314421203451540320054155305001232551413020512453213311511220221454450303324241134352104015235501400250...