I do understand what you are saying, I’m definitely not a materialist I’m a Christian that thinks God has designed logic into all of his creation from the galaxies to the orbits of atoms. I disagree about your mystical view of math and logic in general.
once in college someone asked our math professor what his doctoral thesis was on, he said you wouldn’t understand. We were taken back here we were big shots taking to highest calculus class the university offered many students pressed on and got our professor to explain so he put one of his thesis problems on the board we didn’t even know that language sure it kinda looked like math but no one had a clue, he said I told you so.
Seems to me you are using the gaps in knowledge to justify the parts we don’t understand prime numbers are not magical in fact they are the very opposite of magic they are logic. If you listen to music that moves your emotions there is an explanation it may be very personal but it’s not magic. To be blunt you seem like a mathophile that delights in linking things like the logic of math and physics to other categories like emotions by way of popular jargon with slightly mystical bridges.
Acoustics and fluid dynamics are really hard subjects there is no room for anything but hardcore logic. Back in college I took some quantum math from a professor that was a bit famous in the field I thought it would be very interesting it wasn’t it was like statistics not physics no fun at all.
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This is why audiophiles are so subject to snake oil and 700$ fuses 80k$ speaker cables they are smart and choose to live between the technical and emotional boundaries of knowledge. Some of the more experienced people on this forum just say -enjoy the music- and don’t bother.