In reply to:

I've also heard of a practice of letting the bible fall open at a random page and taking a verse from that page to provide guidance in your life. Presumably this is also rhapsodomancy?

not surprisingly, there is a unique word for this: bibliomancy (also refers to the use of books in general). there are sixty-some -mancys in the OED, not counting aldermancy, dormancy, etc. divination was big.

-joe (thumomancy) friday