Instead of duct tape, I have a roll of 3M Nexcare Transpore tape, the plastic kind. It is used in hospitals to bandage hard to bandage areas, like knees & elbows. And it tears easily.

I figured it would allow me to tape up scrapes, turned ankles, hold things together on my bike, and I even used it once to tape my long pants leg when I forgot my Fred strap.

This tape combined with a little first aid cream and a tissue makes for a good bandage.