I'd like to try an analogy. A lot of equipment is sorta like the pictures from a Kodak 110 film camera. They provide an image the photographer intended, at least most of the time. Colors are close, image lacks detail or controlled depth of focus. A picture. Compare that to a photograph from a large format 4 x 5 camera with a top quality lens in the hands of a master photographer. The finest details are part of the life captured in the picture. Accurate color and subtle shading, light and exposure tightly controlled to bring to life the subject of the image as well as the fine details in the rest of the picture. It is a work of life brought to an artful image that is precisely what the artist / photographer intended.
In the context of the OP's original question, music is notes. Musicality is bringing the notes to life as intended by the artist. The dynamic reproduction of the event, not the simple tune. The fine details, the small changes in dynamics, the correct coloration of the instruments including changes to instrumental timbre as performed by the musician / artist.