Yeah I should have said it's hard to find the cause of the fault, I'll bet it didn't leave the factory like that. I have a 1991 K75 S, it doesn't have that noise. Until you get the service history, maybe try the microphone on the starter or a few places to see if you can pinpoint it better, or an Italian tune or something like that.
Where I was going with the previous posts was hoping the frame was removed for painting or something, and not installed correctly. Although that possibility is almost eliminated, it might help someone in the future reading this.
If the frame is attached using the Clymer manual as a guide, the shim location and bolt tightening sequence will be wrong, since the k75 sequence is different to the one given.
Hopefully Gryph might chime in again, at least I'd be interested to know if his noise sounds like your recording.
Gryph, help me out here. Your saying ride, free up the rings, get fuel through the injectors, shake the cobwebs out. Yep, I'm with you there, you know I'm with you there, but your well ridden brick does it too. I'm trying to get something that fits, it's like almost there, but just not there yet.