Methods and apparatus for producing controlled tooth-moving forces are provided. An orthodontic appliance includes one or more occlusal surface features that modify bite forces between opposing teeth during intercuspation to aid in realignment of the teeth. The interception bite forces can be applied between appliance shells on opposing arches, or between an appliance shell and an opposing tooth. These modified bite forces can be used to supply or augment tooth-moving forces, and the tooth moving forces can produce moments to urge rotational movement of a tooth. Also described herein are orthodontic appliances having an occlusal outer surface contours that are distinct from the occlusal inner surface contour within the dental appliance and may be configured to selectively intercuspate.