I need to come up with a mechanism that would allow two concentric cylinders to work as follows:

Turn the outer one 10 degrees COUNTER-CLOCKWISE and it "locks" to the inner one and begins to turn it COUNTER-CLOCKWISE as well. Turn the outer one CLOCKWISE and it goes 20 degrees before "locking" to the inner one and turning it CLOCKWISE as well.

With each cycle COUNTER-CLOCKWISE, then CLOCKWISE; the outer cylinder would progress 10 degrees more around the inner cylinder.