I should have been more clear. This is what I meant be "correct encodings". I would be surprised (but am welcome to being wrong) if a large amount of sheet music hadn't been encoded somehow.
Sheet music isn't mathematical, ie., there isn't a numerical "encoding". It's has a fair amount of natural semantics (eg., "play like a fantasy"),
There is only an embedding or re-presentation in some less informative form. ie., you have to choose some partial measurement system and apply this to the images of scores to produce a numeric representation.
This is, in part, why a midi-file is always going to sound worse than an orchestra operating from sheet music. The musicians understand the intensions of the composer.