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"Right now, musical notation strives for a single notation that tries to encompass the entire work—and to also serve as a canonical, lossless transcription of the work, from which it can be recovered."

I don't believe this to be true. (Modern) Guitar Music is most often written in tab often without accompanying staff notation. Also staff notation is not loseless, musicians will interpret the music differently. For example, with violin, whilst some instruction is given on bowing it is almost never complete and the musicians will find different ways to fit the bowing to the rhythm, this can make a huge different to overall tone as (most simply) the up bow sounds distinctly different to the down bow.

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