bpazolli,
Somewere in the ancient past, Apple had a Tech Info Library Article about death chimes. I can not find it but it will be similar to these links:
http://docs.info.apple.com/article.html?artnum=58183
http://docs.info.apple.com/article.html?artnum=58442
http://docs.info.apple.com/article.html?artnum=30617
They are not specific to the Quad 610 but they are instructive.
The book "Mac Secrets" also discusses death chimes. For me, the chimes have almost always been because of bad ram.
Do you have other ram chips that can be traded out? If memory serves me correctly, the Mac IIci 030 generation needed four matching ram chips but the Quadra line - 040 generation only needed two matching chips.
Carefully cleaning the contacts or removing and reinserting the RAM chips a couple of times might restore contact. You may have just witnessed a chip dying for some unknown reason - power surge or something.
Question, where did you come up with the name 'Hawaiian' for the death chimes? Are you familiar with the 'sound of breaking glass' death chime? That is what the latest G3 mini towers do when I test RAM chips from recycled PCs. What tones are you hearing?
Jim