[mandmandam]

Yes, 432 is much easier to work with when you're factoring - as music demands. As well though, many musicians can certainly hear the difference, as pointed out.

Incidentally, there are 432,000 seconds in 12 hours.

Also fun - while continuing to acknowledge the somewhat arbitrary nature of human units - the diameter of the moon is 2159.1 miles - remarkably close to half of 4,320. The Sun's diameter is 865,370 miles - very close to twice 432,000. That they look the same size from Earth is wild to me, and suggests that Pythagoras may have been onto something with the music of the spheres bit.

Also, just because our units could be otherwise, doesn't mean they are entirely arbitrary. I believe that things like that have a sort of wisdom of the crowds, evolution over time thing going on. Like other aspects of language, there is more to its development than is immediately obvious.