Actually no.
Music has no rules. Music Theory has rules.
Music has no natural order. The science of accoustics has order.
Humans make music as they see fit to express themselves, that's why there's so many different kinds of music. When listeners ask, "how did they do that?" then the analysis of music structure starts and music theory is born.
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I read this again and I got curious, again, how you explain the many similarities among all the world's musical systems?
Select, say, 5000 different musical systems from various cultures (most anthropologists would say that's a really good sample) and you'll find you can reduce what they do to specific aspects of theory, which are universal.
Tempo, meter and pitch are but three of these concepts.
Did you find a way to argue that these aren't universal? an you give any examples of any music anywhere that don't involve at least one of these??