In ancient Greece, there were three concepts related to music: music for practice; the music of mathematics; and the music of philosophy. This study first explores and discusses how the three concepts of music are described in the Platonic dialogues. The study then examines the position of each of the three concepts and the kind of role they each play in the curriculum theory described in Plato’s Republic and Laws. As part of this examination, reference is made to the study of Josef Dolch. The results showed that the music of philosophy subsumes all knowledge, including that within music for practice and music of mathematics, as well as other mathematical subjects and philosophy. Furthermore, when paired with gymnastics, the music of philosophy constitutes the curriculum. In this sense, all intellectual learning in Plato’s curriculum theory can be construed as having a musical property.