He has wrote about a hundred of articles based on his research. Some have been translated into English, French, German, Italian and Japanese. He is the General Editor of La Música de México (Instituto de Investigaciones Estéticas, IIE / UNAM, México 1984, ca. 2000 p.) He wrote with Jorge Gil Musica y Teoria de Grupos Finitos, 3 Variables Booleanas, with an English abstract (IIE UNAM, Mexico 1984). He has postulated a General Theory of Intervallic Classes, applicable to macro and micro-intervallic scales of duration and of pitch. In the field of the continuum he has developed new methods of multidimensional graphic register of the components of a continuum between rhythm and sound and a continuum between order and chaos, and sound and noise. El sonido en Rulfo (The sound in Juan Rulfo’s literature) is the research base for his opera Pedro Páramo.

In Mexico, since 1974 he became researcher in music at the Institute of Aesthetics, IIE/UNAM, where he was appointed as the Chair of several projects: Mexican Music History, Mexican Music Archives and Music: Interactive Computer System for Research and Composition for the study of the combinatory potential of scales. He is member of the National Scholars System of the Mexican Education Ministry since 1984 and member of the Science Academy of Mexico since 1997. He created a Composition Seminar at UNAM, where he teaches Compositional Theory and Philosophy of Composition. He has been a visiting professor at Stanford, California, San Diego, New Mexico, Musikwissenschaft Institut, Rostock, Darmstadt, Veruela, Scola Civica di Milano or the Centre de Création Musical Iannis Xenakis. In January 2001 he became research director of the CEMAMu, research center created by Iannis Xenakis. His works are mainly published by Editions Salabert, France. The French Ministry of Culture decorated him with the Ordre des Arts et des Lettres (1981, 1986).