Top two most important sound qualities

For emotional engagement, an absence of distractions such as fatiguing highs and poorly controlled bass is helpful but I'm not at all convinced emotional engagement is, in my case, dependent upon "high fidelity". I can be just as emotionally engaged listening to a car radio as my system at home. What's that, you say -- my system must be pretty crappy?  Compared to others, here, no doubt it is but you wouldn't confuse the two in a snake-oil-free, scientifically-controlled, double-blind measurement-corroborated listening test

For physical engagement, PRaT is very important; if my body is not drawn into the music, chances are the rest of me won't be either. I attribute this to my musical tastes having been formed during the 60's/70's when the Devil's Music dominated the air-waves and, paired with various recreational substances, insidiously re-structured the brain structures of vulnerable adolescents such as myself. (I wouldn't have it any other way). 

I guess this means my intellect is not particularly active during music listening. 

What's that, you say -- this post doesn't appear to display a dazzling intellect, either ?  While there are, no doubt, smarter members here, I don't envy anyone whose aesthetic engagement is dependent upon their IQ. 

Your post is okay with me 👍🏼

@gladmo 

You mean, mine?  Thanks! 

Pardon my eschewing the “binary code” of the question, but my answer is:
A final product (overall sound quality) that makes me forget all the silly frettin’ and fussin’ and fightin’ that my fevered, obsessive, perfection-seeking mind engaged in.

Just kind of…you know, enjoying that, uh…music stuff.

In an earlier comment, I said "clarity and tonality". It just occurred to me that there’s an overlap of the two together which I could call harmonic completeness.

Subtle overtones can’t be heard without clarity, and these make music seem lively and realistic. An imbalanced tonality will also affect the ability to hear them. Without refined tonality, sound reproduction will be less full or pleasant to me. The way I am using tonality, I mean the totality of the degree of the presence of all potential tones across the audible range in relationship to each other.