An orthodontic brace system includes brackets having a diamond-shaped tie-wing configuration that defines two parallel, horizontal slots, each of which is adapted to receive an archwire. Each slot is angled with respect to the base of the bracket to produce a specific, maximum torque value, and generally, the maximum torque value of the gingival slot is less than the maximum torque value of the incisal slot. The brackets provide multiple force vectors in different directions simultaneously, which decreases the amount of time required for a patient to wear braces, reduces the number of costly and time consuming visits to an orthodontist, and reduces time and effort required of an orthodontist for installation and adjustment of the braces on a per visit basis. A self-ligating bracket with a sliding door is disclosed in another embodiment.