It is one of the reasons I enjoy cycling so much. The mind is free to wander, and for me, it is one of the best methods for problem solving. I get better ideas when my mind is blank. Comes like a flash. You think to yourself, that is so obvious, why didn't I think of it earlier.
Never think much about music, if ever. I used to downhill ski quite a bit. It was inevitable that Tea for Two would pop into my head when skiing the mogul field.