How would we pretend to understand a communications from a civilization where we have no common references?
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Mathematics, geometry & music are all ways to communicate without language, as is 1s and zeros.
Music??? That is whimsical and reminiscent of the movie Close Encounters of the Third kind. How would they extract what we call music from universal white or black noise?
On our planet, the concept of zero wasn't even used until the 1200s AD. A binary counting system is our creation, not a mathematical constant.