Wow you can almost hear it saying, "It's gone?! WHERE?! WHERE?! WHERE?! WHERE?! WHERE?!" That's an interesting error beep. You made it do that just for this post didn't you? 
Actually, I had that recording for quite a while now. Â

 But it's not hard to duplicate since it happens on pretty much ANY AMI-equipped board.  (And I got piles of 386 and 486 boards that can be started without video.)  I remember being worried one time when I was servicing my box and I got that little string.  (Athlon XP 1600+, y'know nice system worth something.)  Fortunately it was just a badly seated card I believe.
For comparison, here's the 1981 IBM PC original's much more mellow way of crying for inability to display:
http://bobstuffs.no-ip.com/El-Hazard/temp/bob/VIDBEEP.wavI always found the AMI kinda amusing in a sadistic sense since, as you noted, it's more like a panic sound.