Air varie is a musical term that refers to a piece of music that is based on variations of a specific theme. Synonyms for air varie might include variations, theme and variations, capriccio, and fantasia. Each of these terms essentially describes the same concept as air varie, but they may emphasize different aspects of the musical composition. For example, capriccio and fantasia might suggest a freer, more improvisational style of variation, while theme and variations might suggest a more structured approach. Ultimately, the choice of which term to use comes down to personal preference and the specific context in which the music is being discussed.