Violin Concerto (Berg)
This tone row does not sound as random as many tone rows are because parts of it sound quite tonal.  This is because the first three notes are a G minor triad; notes three to five are a D major triad; notes five to seven are an A minor triad; notes seven to nine are an E major triad; and the last four notes together make up part of a whole tone scale.  The first notes of each group of triads together form G, D, A and E, which are the open strings of the violin.  The opening of the concerto makes this very obvious.