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You're not the only one in the comments on this article who has asserted that some pieces in 6/8 have a different pattern of stresses. So I'm totally prepared to hear about it, even if basic music theory doesn't cover those cases.

The point stands that time signatures are not rational numbers (as you acknowledge, the unit of the denumerator can be scaled) so 3/4 and 6/8 aren't part of some equivalence class. They have different meanings which are only sustained by the presence of a cyclical pattern of stressed notes. So if there's some music theory you can link to which elaborates on all the possible different rhythmic patterns of 6/8 vs 3/4, that would provide examples of the distinction we both agree exists.




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