A bracket system for orthodontic appliances including a bracket combinatorial library having a plurality of brackets each interchangeably fixedly mountable to each of a plurality of teeth within a dentition group in a dental arch, whereby the plurality of brackets can be configured to provide incremental variation in tipping force moments, in-out force moments, and torqueing force moments over the entire useful range of orthodontic mechanics, allowing an orthodontic practitioner to prescribe a combination of tipping force moments, in-out force moments, and torqueing force moments unique for each tooth in relation to the plurality of teeth of a patient.