(Edit: only now have I noticed it was already mentioned in another comment)
The old watches tick at 3 times per second on 6 Hz movements.
Old Rolex tick 3 times per second on 6 beats/second balance wheel movements, and modern Rolex do 4 ticks per second on 8 beats per second movement.
> In 2010, Bulova introduced the Precisionist, a new type of quartz watch with ultra-high frequency (262.144 kHz) which is claimed to be accurate to +/- 10 seconds a year and has a smooth sweeping second hand rather than one that jumps each second.
By the way, Seiko has had a movement for some time that is rated to +/- 5 seconds a year. I think it was on a special edition of the Grand Seiko line (already rated to around 10 seconds a year, so you'd get 5 seconds off less. Yay!)