Brass Ensemble Horn,Trombone,Trumpet,Tuba - Level 3 - Digital Download SKU: A0.802528 By Florida State University. By Henry Mancini. Arranged by Peet du Toit. Contemporary. Score and parts. 10 pages. Peet du Toit #5769087. Published by Peet du Toit (A0.802528). Peter Gunn is the theme music for a Private Investigator TV series by the same name. Mancini won an Emmy and two Grammy awards for this music. The tuba ostinato creates a sinister effect, with intriguing chords by the other players and a trumpet solo. It sounds more like rock music than it is jazz. Enjoy!