What are the differences, advantages, disadvantages of a single conductor and 4 conductor pickup.

i was wondering this because i am going to get a SD 59 in the neck position of my schecter gryphon and there are 2 versions: the single and 4 conductor. the 4 one cost more.

my gryphon also has what is called coil tapping? where my tone knob i can pull it out slightly and push it back in for diff tone.