At this point, you should have a long tube, open at both ends. To connect the open ends of the tube, with right sides and same colors facing, line up the the raw edges. In the image below, the edges of the aqua fabric are lined up (right sides facing), with the navy fabric pushed out of the way for the moment.
Begin sewing at the side of the tube with the unfinished long edge. Sew across the raw edge and other seam, adjusting the fabric as you go. Continue the seam along the raw edge of the other color, finishing at the other side of the tube. As you get to the end of the seam, it may take some work to keep the raw edges even. Go slowly and maneuver the fabric around the rest of the scarf, which will emerge through the small opening when you are done.
Pull the scarf right side out; the two ends will be connected, with a small hole on the edge.
Sew the hole closed with tiny invisible stitches, matching up the center seam.
Done! Here, I've looped the scarf twice around my neck.
It can also be worn as a hood/scarf combination for those cold and windy days in the bay area!
Or, the scarf can even be worn with one end looped through the other. So versatile!
Many thanks to Britex for providing the fabric for this quick and fun project!