Awe is a complex, cognitive–conceptual emotion associated with transcendence and wonder. Music has the power to create this kind of transcendence. Can music evoke awe? Previous research demonstrates that awe is associated with individual differences in personality such as openness. This study examined whether different kinds of music across a wide variety of genres can evoke awe and whether the experience of awe depends on individual differences. The study further investigated the relationship of awe to patterns of emotional responses to different dimensions of musical genre. Study 1 demonstrated that high need for cognition and low cognitive closure predicted awe for reflective and complex music, that felt happiness predicted awe for all kinds of music, and that perceived happiness and sadness predicted awe only for reflective and complex music. Study 2 replicated the finding that perceived sadness can evoke awe in reflective and complex music and further demonstrated that experienced musical awe correlates with individual differences in the tendency to experience awe more generally. These results are of interest to advertisers interested in evoking awe with music and marketers interested in segmenting to target the appropriate populations for this purpose.