Magic is the external expression and application of energy.
Orthodox magic is the study of those expressions and applications meant to equalize and standardize it for the shared and common use of magic. Orthodox magic uses laws, rules, and understanding of concepts and magical energy to explain the expressions of magic.
Talent is necessary, but hard work goes a long way as well.
Unorthodox magic is the free expression and application of magical energy or energies with similar enough functions. It is unbound by rules other than the ones each practitioner sets for themselves. Branches of unorthodox magic can share rules, but mostly in terms of application and use.
Unorthodox magic requires talent. Feeling. It is something a practitioner learns by doing, not reading.
