There are various synonyms for the phrase "art contingent on." Some of the commonly used phrases that have the same meaning include art that hinges on, art that relies on, art that depends on, art that is based on, art that is conditional on, and art that is subject to. All these synonyms imply that the creation of art is influenced by different factors, such as available resources, inspiration, and external conditions. The choice of words to describe such a scenario can vary depending on the context, but the core idea is that art's creation is often dependent on various circumstances and factors that are beyond the artist's control.