In 3-rail lingo you're using O81 for your through track, so to match up with Atlas O metrics, you would use O72 (or 36" radius) for the turnout portion to maintain Atlas customary track separation. You could obviously go much narrower with the turnout radius (34", 32", etc.) with the attendant equipment problems. I'm just not sure how much wider you could go (37", 38", etc.) without creating custom switch construction problems? I bet somehow this has to be determined by curved frog design.
Chuck