@Vec The key difference is that debauchery is excessive indulgence in sensual pleasure, though that was just the information gathered from one source. Another states that it is bad or immoral behavior that involves sex, drugs, alcohol, etc.
In this effect I, personally mind you, would believe the two to be opposites. At the very least in the manner that Hedonism will be presented by my demigod and my interpretation of the word from what I've read.
Hmm, I'd imagine that Amartía and our fellow demigod here would be good friends. The hooligans of Divinus.