That won't be possible given the current mapping procedure. It imposes a certain set of constraints on the space of possible tunes that are not obeyed by any of

That won't be possible given the current mapping procedure. It imposes a certain set of constraints on the space of possible tunes that are not obeyed by any of Bach's works: A fixed number of voices (number of notes that can be played simultaneously), greater than 1, with all voices always playing some note (i.e., there are no rests). If a piece of music does not obey those constraints, it cannot be back-transformed into a continuous curve in a fixed number of dimensions. You would need to come up with some other, more complex, method of mapping curves to music in order to handle arbitrary musical compositions.