In the 1930s, the Bengali philosopher K. C. Bhattacharyya proposed a new theory of rasa, or aesthetic emotion, according to which aesthetic emotions are feelings that have other feelings as their intentional objects. This paper articulates how Bhattacharyya's theory offers a novel solution to the puzzle of how it is both possible and rational to enjoy the kind of negative emotions that are inspired by tragic and sorrowful tales. The new solution is distinct from the conversion and compensation views that dominate the existing literature, and it derives its significance from how it ties aesthetic experience to self-awareness.