Does music exist without a listener? This is kind of a corollary to the tree

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Does music exist without a listener? This is kind of a corollary to the tree falling in the woods question- but it definitely deviates. Does the noise exist without someone to hear it? If music is created by a musician, does it really matter if anyone hears it? Does music have more value than random noise- because it was created with a purpose? Does this purpose give it more value than other waves?