Why does tritone substitution create smooth chromatic bass motion when resolving to the tonic?
Think about your answer, then reveal below.
Model answer: The substitute dominant is rooted a tritone away from the original dominant — in C major, Db7 instead of G7. Db is a half-step above the tonic C, so the bass resolves downward by a semitone (Db → C) rather than the whole step descent (G is a fifth above, but the bass ascends a fourth or descends a fifth). This half-step approach is smoother and more chromatic than the original root motion.
The original V–I motion (G to C) involves a descending fifth or ascending fourth in the bass — a strong but somewhat angular move. The tritone sub (Db to C) replaces this with a descending half-step, the smoothest possible bass motion. This is why tritone substitutions became standard in bebop: they connect chord roots by half-step, creating a more chromatic and sinuous bass line.