I was intrigued by your (philosophical) comment and I'm interested in what kind of music you usually listen to.

My thoughts:

> Music has objective properties communicated via audible medium, and what's more, of a quantitative nature.

I would argue that this is probably a western-classical view of music. Music can be quantified/measured, but those numbers are just a tiny part of the listening experience.

> It expresses order.

Sure, but that doesn't necessarily mean that "maximum order" is the most pleasing one. Expectation/resolution etc. may be important, but what if for example a tune does not resolve to expectations? Is it automatically "bad music"?

> The more beautiful music is, the more integrity, proportion, and clarity it has.

Beauty is in the eye (or maybe better in this case - the ear) of the beholder. And for me personally beauty isn't necessarily clarity. I like dissonance in music, maybe some atonality, quarter tones/microtonality, irregular rhythms and polyrhythms etc. These things somewhat violate the aesthetic value (beauty) and that is what makes it more interesting, at least to me.

Just my 2p, I'd be happy to hear your point of view :)

>>> I would argue that this is probably a western-classical view of music. Music can be quantified/measured, but those numbers are just a tiny part of the listening experience.

Actually in practice, stuff that goes outside the "list of numbers" is a huge part of learning to play western music, including classical. It was emphasized by my teachers, going practically all the way back to my first lesson.