The phrase "on tour" implies that someone is traveling to various locations to perform or participate in an event. Possible synonyms for "on tour" include "on the road," "traveling," "performing a circuit," "making appearances," "visiting venues," and "going from place to place." Other related phrases that could be used instead of "on tour" include "on the circuit," "doing a show circuit," "playing a gig schedule," or "conducting a performance tour." These synonyms can be helpful in adding variety to writing or conversation and can also be useful when searching for similar terms in the literature or on the internet.