Are music and mathematics aesthetically AND inherently compatible? Inspired by a musical rendering of pi.

This video is aesthetically pleasing to me but I can’t help but be skeptical. Assuming any arbitrary mathematical sequence that is arbitrarily truncated and correlated, might this also not be true?

I’m probably slightly more briefed in math than music, but let’s assume the average doper skilled in neither.

I have this vague notion that western music is based on an arbitrary exponential/logarithmic scale also based on the arbitrary division of eight, also based arbitrarily on some specific base note.

I’m willing to be corrected.

There’s a whole bunch of skeptically based questions I want to ask. But the combinations are too overwhelming. So let’s stick with…

Maybe it’s a chicken and the egg problem - is music theory based on some arbitrary commonly agreed on math system… or does math correspond to some arbitrarily agreed on easy to replicate music system?

OK let’s get back to the core of the question…

Assuming any arbitrarily useful music notation system, will mathematical constants always be aesthetically beautiful?