Discussion on question by Steve: Can there be no melody in some Scandinavian folk music?

Compare Giratina's theme from Pokemon Platinum, which, except possibly for the "easily understandable" part, still fits your previously given definition of "A sequence of notes played in a specific order that is memorable and recognizable as a separate element in a song. These notes are also easily understandable by the listener such that quite often it can be hummed or whistled at some later time after listening to the piece."