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> would it sound different?

I don't believe it would. While there can be pretty bad PRNGs, they are typically implemented to produce a particular statistical distribution which would be identical to a real random source for the purposes of white noise. This is due to the fact that audio is a superposition of frequencies which takes time and multiple samples to cohere.

PRNGs can be bad for things like crypto because each individual generated value has significant implications for the entire set of operations.



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