There IS a patch of mild vibration at 4700 rpm. Personally, I quite like it, gives the bike a kind of raw feel, stops it being too antiseptic (race cans help here, too!)
I don't believe Dirty Pete's explaination (no offence!).
I think the vibration is due to resonance of the frame and cycle parts. I remember reading that the Hayabusa Engine is bolted solidly in the frame. This is only ever done with inherently smooth engines, sixes, (like the CBX), and counterbalanced fours.
A rigidly mounted parallel twin, or a four without counterbalancing (unless it had a balanced crank) - would probably crack the frame eventually.
Even so, manufacturers generally still use some form of partial rubber mounting. The Hayabusa does not, in order to gain more rigidity of the frame.
Although the counterbalancing does a great job of killing the vibes, there will always be one rpm point where there is resonance, and the vibration can be felt.