He studied piano with Eduard Steuermann and composition with Chou Wen-chung, Lionel Nowak, Paul Boepple, Henry Brant, Carl Ruggles, Kenneth Gaburo, John Cage, Harry Partch, and Edgard Varèse.
[7][8] Tenney lived in or near New York City throughout the 1960s, where he was actively involved with Fluxus, the Judson Dance Theater, and the ensemble Tone Roads, which he co-founded with Malcolm Goldstein and Philip Corner.
[10] In 1967 Tenney gave an influential FORTRAN workshop for a group of composers and Fluxus artists that included Steve Reich, Nam June Paik, Dick Higgins, Jackson Mac Low, Joseph Byrd, Phil Corner, Alison Knowles and Max Neuhaus.
[11] Tenney was one of four performers of Steve Reich's Pendulum Music (1967) on May 27, 1969, at the Whitney Museum of American Art, alongside Michael Snow, Richard Serra and Bruce Nauman.
Significant works include Clang (1972) for orchestra, Quintext (1972) for string quintet, Spectral CANON for CONLON Nancarrow (1974) for player piano, Glissade (1982) for viola, cello, double bass and tape delay system, Bridge (1982–84) for two pianos eight hands in a microtonal tuning system, Changes (1985) for six harps tuned a sixth of a semitone apart, Critical Band (1988) for variable instrumentation and In a Large Open Space (1994) for variable instrumentation.
His students include John Luther Adams, John Bischoff, Michael Byron, Allison Cameron, Raven Chacon, Eric de Visscher, Miguel Frasconi, Peter Garland, Douglas Kahn, Carson Kievman, Ingram Marshall, Andra McCartney, Larry Polansky, Carl Stone, Charlemagne Palestine, Marc Sabat, Chiyoko Szlavnics, Catherine Lamb, Michael Winter, Julie King, and Daniel Corral.