Protip:
I have a few brushed stainless watches that had some good scuffs on the bands and clasps. One of the guys I work with is hardcore watch guy, and he told me to buy one of these nail buffers:
5 bucks at Walmart. A couple straight steady swipes on the rough side (Which seems like it is about 400-600 grit) A couple straight steady swiped on the buffing side, and the marks go away like magic. As long as you are careful, and stay with the grain, it is literally a new finish again. A lot of guys use scotchbrite, but the brush marks they leave are erratic and too course. This is a way better solution.