In this manuscript, we strive to define a scheme for mapping music into a three dimensional structure. To achieve our goal, we convert choruses of Beatles songs into curves. The manifestation of these geometric objects lets us observe the songs’ complexity, as well as analyze it using mathematical tools from differential geometry. Our aim is that the viewer will be able to identify the song and its composer by observing the geometric object (curve) alone. We believe that these ideas can offer composers a new perspective on their own music, as well as offer non-professional audiences a glimpse into the complexity of composing.