Ok, let's see
-Black Mage is offensive elemental magic
-White Mage is healing and support magic
-Red Mage is unspecialized mix of both
-Blue Mage is power copying

What about the other colors, though? What do Yellow and Purple Mages do?

While we're at it, why are Red Mages only using Black and White magic? Why can't they use other colors? Why Red instead of Gray Mage? Do Time Mages count as the Gray Mage? What is Time magic anyway? These are the important worldbuilding questions, peeps