I'd say that batiks fall into the realm of contemporary. Solids and specific large scale prints are prevalent in modern. Contemporary is often traditional designs done in updated fabrics or colorways. Modern is more likely to be innovative or improvisational. Contemporary will go with stitch in a ditch or pantographs, and is more likely to be minimal. Modern is most likely to be straight line quilting or improv free motion, and fairly heavy.
For starters.