Hot shot, I reackon from the look of the flashtro version that the sine wave is in these proportions ...
[left - right] = 1, [up - down] = 2, [ in - out] = 4
so thats a ratio of (x,y,z) 1:2:4
edit - I got this cos the logo goes from top to bottom to top at the same time that the logo goes from left to right so it makes twice the journey up down that it does left right, also it moves up down four times as often as it does in out