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Art music primarily refers to classical music, including European classical music, or others listed at List of classical music styles (including non-European classical music), contemporary classical music (including Electronic art music, Experimental music and Minimalist music). Art music may also include certain forms of Jazz (even though jazz is primarily a popular form of music).
The usual stereotype of "popular music" is music belonging to any of a number of musical styles that are accessible to the general public and are disseminated by one or more of the mass media. For a critical introduction, see the work of Richard Middleton (e.g. Studying Popular Music 1990) and Starr/Waterman American Popular Music (2004)
It is possible to categorize music geographically. For example, the term "Australian music" could include Australian rock music, Australian traditional music in the European style (eg. Waltzing Matilda), Aboriginal Australian music, Australian classical music, and Australian Jazz.