I used an inexpensive 5/8" black sheer ribbon approximately 11" long to go with my pink/black theme.
I simply centered the cut ribbon strip under the presser foot on my beloved old Singer sewing machine, set the straight stitch length to 3 1/2", lowered my needle into the center of the ribbon and simply guided it through to the end of the ribbon. A basting stitch would work fine; I went a little smaller here since the ribbon is so sheer. You'd probably want to use the largest stitch available for a tighter-woven ribbon. I'm anxious to try this on other ribbons now!