Hi Detlof - I think you misunderstood me slightly. I did not mean to equate music exactly with emotion. What I meant is that almost all music is expressive of some emotion, which is not the same thing. In fact, music can be much more expressive of emotion than words.
Also, a great deal of musicality can be quantified, but one has to be somewhat versed in music theory to do so. Music is a language, that has a great deal of logic and "grammar", and all musical compositions have some sort of form, whether it is a simple song form, or a complex very large scale work. Mastery of all these things is fundamental to creating music, and therefore must be a part of "musicality."
To speak to Sabai's comments - almost all music is highly intellectual, though you are certainly not alone in not wanting to think about it in that way. One of the major criticisms of Schoenberg, to pick one of the composers Detlof named, was that his music was too intellectual, despite much of it being very emotionally expressive. He was accused of composing by the mathematical tables, filling in notes according to a formula.