Here are my thoughts. Organic; always thought that was a really stupid way to describe anything related to music or sound so I usually ignore the entire comment. But in general, natural is the only other word that comes to mind.
Texture; to me refers to actually (in the case of string instruments) feeling the vibration of the strings or (in the case of horns or brass) feeling or being able to hear the breath of the musician blowing the instrument(very rare).
Palpability; to me refers to the presence of the musical event being portrayed or felt. Not all recordings have this. Some are such dead studio recordings (but technically perfect) that no matter what you'll never be able to experience this. It is bacically that reach out and touch feeling. Very special.
But I like what Albert said.