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> the final chord tells you the key

That makes it sound like a definitive rule, but it's just a common convention.




It is just a convention, not a rule. It is very common in classical music for a piece in a minor key to end on a major chord (called a Picardy 3rd) or in some cases to end on the dominate 5th - which is a major chord. The latter though, isn't usually the absolute end of a piece because it leaves you hanging (rather like ending "Happy Birthday" on the word "to" - and leaving off the "you").




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