As a teenager, he took part in forming the Charlottesville-Albemarle Youth Orchestra, in which future Dave Matthews Band member and bassist Stefan Lessard also took part. He studied under Isidor Saslav, concertmaster of the Baltimore Symphony Orchestra. Saslav offered him the chance to move to Baltimore and become a virtuoso. Tinsley was 16 at the time, and as such he realized he was not ready for the commitment that would come with it. This was also the point where Tinsley realized he did not want to pursue orchestral music. Instead, he started listening to other musicians who worked with rock, blues, and jazz.
Has two children with his wife Emily: A daughter, Abagail (Abby) (born 1996) and a son named Noah (born 1999)