The phrase "art ruled by" can mean that a particular style or technique dominates a particular era or region. Some antonyms for this phrase might include "art liberated by," "art influenced by," or "art informed by." These phrases suggest that artists are free to explore and experiment with different styles and techniques without being limited by a singular rule or authority. Art that is liberated by diverse influences and inspirations can result in a rich and varied cultural history that reflects the complexity of human life and experience. Thus, while art ruled by a particular style or technique may have its own merits, the freedom to explore and mix various artistic influences can lead to a more diverse and inclusive art world.