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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.



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