An electrical Lego clock without using a factor 5

The problem is: between a seconds hand revolution and a
minutes hand revolution is a factor 60. 60 factorizes to
2*2*3*5.

The only gears I own are 8, 14, 16 and 24. No way there
can be a factor 5, or 2.5 etc for that matter.

The solution: I've got a differential. A differential can
calculate half the sum of it's two side axles. By feeding
it with axle's rotating 1 and 9 revolutions, the output is
5. The other way around, by putting 5 in, hooking the side
axles in a gear train loop from 1 to 9 (2 times 8/24) the
results are 1, 3 and 9 revolutions.

zomb