I think Istarian is correct that "DMC" is some arbitrary company logo. Search of MicroDaSys documents as online simply don't mention a multichannel audio board, they have a different logo, so that's a dead end. Search for Synclavier finds hardware references but they don't identify S-100 architecture. Searching for "DMC" is kinda fruitless., even if it means "Data Music Company", too common a phrase. Image search for the DMC logo didn't find anything matching but logo images are hard to search. The US has a trademark federal registry, look for that.
History suggests this board like many, came from some company that produced only a few S-100 boards, maybe some other computer-based products (or not). The docs may not be findable (anytime soon). But this board looks interesting and non-trivial, but not too obscure.
1) Talk to the friend who owned this board, pick their brains for any clues. check their disks/tapes for files with clues,check their papers for docs or clues. Did they go to an event where this product was sold or shown? Hopefully that IMSAI had cabling for that board, document the cabling. Note the IMSAI's disk controller; that may determine the disks formats for any data/code recovery. It is, after all, 45 years old
2) The original poster did not ask for diagnostic advice. But I suggest without details, that forensic examination of the board (check for shorted caps is a real good idea) and docs of chips, will reveal general function. Tracing of the S100 signals and one of the many connectors ought to be informative. Careful powering of the board and careful I/O and memory search, plus knowledge of the complex chips on it, ought to reveal basic functions. My point is, "sometimes the hard way, is the easiest way" to make sense of this board. It ought to be interesting if you like digital audio.
Good luck, regards - Herb Johnson