Interesting things happen when you have your left hand play in one key and your right hand in another. The potential for dissonant chaos is high, but pick a good combination of keys and slide around just enough to create a little glue between the two, and you get some very cool sounds.
I haven’t tamed this creature yet, but I like it.
Perhaps unrelated: someone — not necessarily me — should write an instrumental and call it “Arguing in Nice Restaurants.”