Reading the OP, I believe the rotation is contructed via priorities. Well it does not matter in fact. At the end of the day, you have a rotation be it constructed by mathematical finesse or whatever. For execution purpose, it does not forbid you to create tips to 'memorize' it more easily than a sequence of 24 moves long. Well, you may have already memorize it so it may not matter for you but for new dragoons it can matter.