Music commonly appears in behavioral contexts in which it can be seen as playing a functional role, as when a parent sings a lullaby with the goal of soothing a baby. Humans readily make inferences, based on the sounds they hear, regarding the behavioral contexts associated with music. These inferences tend to be accurate, even if the songs are in foreign languages or unfamiliar musical idioms; upon hearing a Blackfoot lullaby, a Korean listener with no experience of Blackfoot music, language, or broader culture is far more likely to judge the music's function as "used to soothe a baby" than "used for dancing". Are such inferences shaped by musical exposure or does the human mind naturally detect links between musical form and function of these kinds? Children's developing experience of music provides a clear test of this question. We studied musical inferences in a large sample of children recruited online (N = 5,033), who heard dance, lullaby, and healing songs from 70 world cultures and who were tasked with guessing the original behavioral context in which each was performed. Children reliably inferred the original behavioral contexts with only minimal improvement in performance from the youngest (age 4) to the oldest (age 16), providing little evidence for an effect of experience. Children's inferences tightly correlated with those of adults for the same songs, as collected from a similar online experiment (N = 98,150). Moreover, similar acoustical features were predictive of the inferences of both samples. These findings suggest that accurate inferences about the behavioral contexts of music, driven by universal links between form and function in music across cultures, do not always require extensive musical experience.