The common practice period encompasses: the baroque, classical and romantic periods. Nowadays, the music of the common practice period is simply referred to as classical music. Despite being concise, the term "classical music" is being used incorrectly in this case since the term "classical music" only relates to music of the classical era. Should the status quo be challenged now by recommending the use of the term "music of the common practice period" rather than "classical music" when collectively referring to the baroque, classical and romantic periods?
honestly most of the time i just call it art music , if the person looks lost or stares at my like i have a third elbow popping out of my forehead i'll clarify 'classical' music. it's not that big a deal.
I prefer "concert music" as well.
You are right. The term "notated music" suggests that the music to which we are referring has been written for eyes rather than ears. However, it is still a logical term to use in spite of that because Bach, Mozart, Beethoven, Chopin etc. all notated their music on paper and it is their music to which we are referring.