A melodic line involves a note of a given pitch and duration, followed by another note of a given pitch and duration, and so on, but we often perceive such musical succession in time as movement in space (e.g., melodic contours ascend or descend, etc.), and concepts related to motion have been used to describe and understand musical experience. Johnson and Larson (2003) suggested musical motion is analogous to motion of physical objects, and Larson (2012) discussed musical forces analogous to the forces that operate on physical objects. In this review, one such musical force, musical inertia, is compared with momentum-like effects that occur in other (nonmusical) domains. Although musical inertia was previously suggested to be analogous to representational momentum, these two effects operate on different time-scales, and it is proposed that musical representation might exhibit behavioral momentum or psychological momentum or might exhibit a unique form of musical momentum. Such a musical momentum would reflect dynamic mental representation and properties of the functional architecture of music representation; be related to auditory stream segregation, perceptual grouping, and auditory kappa and tau effects; and reflect naive beliefs regarding force. Possible musical analogues of the components of momentum (mass, velocity) are considered.