How can one tell if the crescendo is for the treble staff or the bass staff?
The excerpt above is from Chopin's Nocturne in C# minor.
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It really depends on who wrote the sheet music, but in general it should be for both hands if written between the staves. I say it depends because there is free sheet music out there that is of low quality that clearly do not have much effort put into them (wrong fingerings or lack thereof, messed up dynamics, misplaced repeats, etc.)
Best practice is to always cross-reference your music with recordings and other sheet music to compare