Collisions

Most of the pieces posted here so far are ones I've described as easy, and while Scherzo #2 is a little tricky, the rhythm of Once makes it a bit of a challenge, and the Allegro requires physical strength... this one is hard. I think this little nugget of insanity is less difficult to listen to than it is to play; at least, I hope it is. The title is in part a description of the "car horn"-like sound of the chords, but mainly due to the fact that the left and right hands actually run into each other and cross over in various places.

This is one of my "mathematical" compositions, not in the sense that it uses formulas as such, but in the generation of the material. It is based on a single four-note cell, starting with C, then up a half-step, up a whole step, and up another half-step. This cell (with various permutations and subsets) is used in only three transpositions, starting on C, G, and F, presented initially as the three opening chords. If you write out these three cells, you'll see that exactly one note in the chromatic scale is omitted, and exactly one note appears twice. These two notes, D and A-flat, comprise what there is of a "counter-subject", used mainly as a sort of punctuation.