For the record, the stone I am currently using that gets all skippy was sold as a "Shoubu damascus asagi" rated at 5+ for both hardness and fineness

So if I use a nagura from a very fine but slightly softer Nakayama I will get a nakayama edge if I stop early, a blended edge if I allow the slurry to break down more, and the asagi edge if I keep going until the slurry is completely broken down?