Bachelor magna cum laude, Harvard University, 1951. Master of Arts, Harvard University, 1954. Doctor of Philosophy, Harvard University, 1959.
Doctor of Music (honorary), Bates College, Lewiston, Maine, 1989.
Assistant professor, Wellesley (Massachusetts) College, 1958-1960; from assistant professor to professor, University of Chicago, 1960-1972; Ferdinand Schevill distinguished service professor, University of Chicago, 1974-1993; King Edward professor of music, King's College, London, 1972-1974. Director Collegium Musicum University of Chicago, 1960-1982. Consultant, associate curator music instruments Smithsonian Institute, Washington, 1964-1965.
President Renaiance Society of America, 1990-1991. Fellow American Academy Arts and Science. Member American Museum Society (honorary, vice president 1966-1968, member at large executive board 1970-1972, president 1978-1980, member edition board journal.
1969-1971), American Recorder Society (president 1965-1966), American Music Society (honorary), International Musicological Society (c.p. 1982-1987), Royal Music Association (honorary foreign), Renaissance Society of America (music representative in council 1970-1972, president 1990-1991), Reform Club (London).