On a serious note though, AJ basically tells me what stages he needs music for and I just... do them. It's kind of hard to explain the process of composing music in any way that's going to make sense; that's like explaining how people are inspired to draw random art. It kind of just happens.
As for the Oggs, generally AJ takes my midis and spiffies them up in his Korg. The audio effects turn out fairly similar to what I run the midis with in Yamaha XG (which people without XG won't hear); it's the better instrument patches that really nail home the upgrades.
Big Wave Dave is only on call the rare times where we want to put some actual electric guitar in something.