Turns out I did have a few leftover RAM SIMMs, and so I switched out the RAM...but the Chimes of Death still persist. My guess is it's the other two SIMMs that have malfunctioned...and I don't have spares for those, so I'll have to buy them.

Here's a short video of the situation...this was filmed after I switched out the RAM. A picture's worth a thousand words, and I guess a video's worth a thousand pictures, so here we go...

http://www.youtube.com/watch?v=HB-1BmyFdWY

I'm a bit awkward in this video; I know exactly what I want to say, but it's weird just speaking to a camera without any other person in the room, and it throws things off a bit...

-Apostrophe