Une période unique fait résonner toutes les fractions de n/71 en base 7.  

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

1/71=0,0045550124430252160534351402033104066211165422364145061323152646335626...

2/71=0,0124430252160534351402033104066211165422364145061323152646335626004555...

3/71=0,0203310406621116542236414506132315264633562600455501244302521605343514...

4/71=0,0252160534351402033104066211165422364145061323152646335626004555012443...

5/71=0,0331040662111654223641450613231526463356260045550124430252160534351402...

6/71=0,0406621116542236414506132315264633562600455501244302521605343514020331...

7/71=0,0455501244302521605343514020331040662111654223641450613231526463356260...

8/71=0,0534351402033104066211165422364145061323152646335626004555012443025216...

9/71=0,0613231526463356260045550124430252160534351402033104066211165422364145...

10/71=0,0662111654223641450613231526463356260045550124430252160534351402033104...

11/71=0,1040662111654223641450613231526463356260045550124430252160534351402033...

12/71=0,1116542236414506132315264633562600455501244302521605343514020331040662...

13/71=0,1165422364145061323152646335626004555012443025216053435140203310406621...

14/71=0,1244302521605343514020331040662111654223641450613231526463356260045550...

15/71=0,1323152646335626004555012443025216053435140203310406621116542236414506...

16/71=0,1402033104066211165422364145061323152646335626004555012443025216053435...

17/71=0,1450613231526463356260045550124430252160534351402033104066211165422364...

18/71=0,1526463356260045550124430252160534351402033104066211165422364145061323...

19/71=0,1605343514020331040662111654223641450613231526463356260045550124430252...

20/71=0,1654223641450613231526463356260045550124430252160534351402033104066211...

21/71=0,2033104066211165422364145061323152646335626004555012443025216053435140...

22/71=0,2111654223641450613231526463356260045550124430252160534351402033104066...

23/71=0,2160534351402033104066211165422364145061323152646335626004555012443025...

24/71=0,2236414506132315264633562600455501244302521605343514020331040662111654...

25/71=0,2315264633562600455501244302521605343514020331040662111654223641450613...

26/71=0,2364145061323152646335626004555012443025216053435140203310406621116542...

27/71=0,2443025216053435140203310406621116542236414506132315264633562600455501...

28/71=0,2521605343514020331040662111654223641450613231526463356260045550124430...

29/71=0,2600455501244302521605343514020331040662111654223641450613231526463356...

30/71=0,2646335626004555012443025216053435140203310406621116542236414506132315...

31/71=0,3025216053435140203310406621116542236414506132315264633562600455501244...

32/71=0,3104066211165422364145061323152646335626004555012443025216053435140203...

33/71=0,3152646335626004555012443025216053435140203310406621116542236414506132...

34/71=0,3231526463356260045550124430252160534351402033104066211165422364145061...

35/71=0,3310406621116542236414506132315264633562600455501244302521605343514020...

36/71=0,3356260045550124430252160534351402033104066211165422364145061323152646...

37/71=0,3435140203310406621116542236414506132315264633562600455501244302521605...

38/71=0,3514020331040662111654223641450613231526463356260045550124430252160534...

39/71=0,3562600455501244302521605343514020331040662111654223641450613231526463...

40/71=0,3641450613231526463356260045550124430252160534351402033104066211165422...

41/71=0,4020331040662111654223641450613231526463356260045550124430252160534351...

42/71=0,4066211165422364145061323152646335626004555012443025216053435140203310...

43/71=0,4145061323152646335626004555012443025216053435140203310406621116542236...

44/71=0,4223641450613231526463356260045550124430252160534351402033104066211165...

45/71=0,4302521605343514020331040662111654223641450613231526463356260045550124...

46/71=0,4351402033104066211165422364145061323152646335626004555012443025216053...

47/71=0,4430252160534351402033104066211165422364145061323152646335626004555012...

48/71=0,4506132315264633562600455501244302521605343514020331040662111654223641...

49/71=0,4555012443025216053435140203310406621116542236414506132315264633562600...

50/71=0,4633562600455501244302521605343514020331040662111654223641450613231526...

51/71=0,5012443025216053435140203310406621116542236414506132315264633562600455...

52/71=0,5061323152646335626004555012443025216053435140203310406621116542236414...

53/71=0,5140203310406621116542236414506132315264633562600455501244302521605343...

54/71=0,5216053435140203310406621116542236414506132315264633562600455501244302...

55/71=0,5264633562600455501244302521605343514020331040662111654223641450613231...

56/71=0,5343514020331040662111654223641450613231526463356260045550124430252160...

57/71=0,5422364145061323152646335626004555012443025216053435140203310406621116...

58/71=0,5501244302521605343514020331040662111654223641450613231526463356260045...

59/71=0,5550124430252160534351402033104066211165422364145061323152646335626004...

60/71=0,5626004555012443025216053435140203310406621116542236414506132315264633...

61/71=0,6004555012443025216053435140203310406621116542236414506132315264633562...

62/71=0,6053435140203310406621116542236414506132315264633562600455501244302521...

63/71=0,6132315264633562600455501244302521605343514020331040662111654223641450...

64/71=0,6211165422364145061323152646335626004555012443025216053435140203310406...

65/71=0,6260045550124430252160534351402033104066211165422364145061323152646335...

66/71=0,6335626004555012443025216053435140203310406621116542236414506132315264...

67/71=0,6414506132315264633562600455501244302521605343514020331040662111654223...

68/71=0,6463356260045550124430252160534351402033104066211165422364145061323152...

69/71=0,6542236414506132315264633562600455501244302521605343514020331040662111...

70/71=0,6621116542236414506132315264633562600455501244302521605343514020331040...