@russ-gries I dont know if this is the best way to do it, but assuming you are going to use a stepper motor you could maybe configure it as an extruder so it uses relative movement by default and if you set your steps/mm to 360°/(200stesp/rev motor) *16microstepping = 8.889 you would have an "Extruder"=Rotating Head that can be commanded to move 30° clockwise by sending G1 E30.
You would have to align it somehow before turning that stepper and make that your initial angle.
BTW I saw your video a while back, good work, I guess this is where all the cool kids hang.