you can also try pantyhose threads. They work well for small wires. PITA to get an individual one.
Basics are to get an old pair of stocking (panyhose) and cut a nice size chunk. Then pin down 4 corners (or tape) over a work surface. Put a bit of streatch in the nylon, it will work with you . Then find the end of a thread. Then take a pair of small scissors and cut the threads running perpendicular to the choosen thread. Its a bit slow and you will have to pin/tape the corners to keep the slack away.
Here are the results.