Just thinking about this, I realized that as a musician I do it all the time. I can recall lyrics, chords, instrumental parts and phrasing to hundreds if not thousands of pieces of music and "play them back" in my head. Unlike a training set, though, I can usually do that after listening to a piece only a few times, and also recall what I thought of each part of each piece, and how I preferred to treat each note or phrase each time I played it, which gives me more of a catalog of possible phrasings the next time I perform it. This is much easier for me than remembering exact words I've read in prose. I suspect the relationships between all those different dimensions is what makes the memory more durable. I must also be creating intermediary dimensions and vectors to do that processing, because one side effect of it is that I associate colors with pitches.