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From 1980 to 2009, he was a lecturer in the Department of Music at Victoria University of Wellington (now the New Zealand School of Music). Body began editing Waiteata Music Press in 1980, publishing scores and recordings of New Zealand composers, and has curated and promoted multiple festivals and music shows in New Zealand. His recordings as an ethnomusicologist include Music for Sale: Street Musicians of Yogyakarta (OMCD 006, and TC HLS-91), Music of Madura (CD ODE 1381) and Jemblung: Sung Narrative Traditions (PAN 2048CD). 
Body has received three prizes at the Bourges International Competition for Electroacoustic Music (most recently in 2008); his recording Pulse won the 2002 New Zealand Music Award for Best Classical CD, and his soundtrack (with John Gibson) for Vincent Ward’s Rain of the Children won the 2008 Qantas Film and Television Award for Achievement in Original Music in Film. For his services to New Zealand music he has been honoured by both the Composers’ Association of New Zealand and the Lilburn Trust. In 2001, Jack was appointed an Officer of the New Zealand Order of Merit, for services to music, photography and education, and in 2004, he received an Arts Foundation Laureate Award.