Since most woven scarves are delicate, this row of stitching gives you a strong base to hold it all together.
Use the entire thickness of an embroidery strand. You don't want your thread breaking and sending your beads everywhere.
Pinch the end into a tight ball and wind thread around several times. Make your strands various lengths. I used 25 beads for the first row, 28 for the second and 31 for the third.
You can triple wrap the scarf like this or simply double-loop it for a fuller look. And that's it! Pretty easy, huh? Now go get a scarf and rock your mad sewing skills. =)