Generalized Interval Systems for Babbitt's Lists, and for Schoenberg's String Trio
David I Lewin · Music Theory Spectrum · 1995
The notion of a Generalized Interval System (GIS) was developed by the author in earlier writings. The concept is suggestive in a number of musical contexts, of which the present article explores two. One involves certain types of series in the music of Milton Babbitt, series that Joseph Dubiel has called “lists.” The other involves certain relations and transformations among pitch classes in Schoenberg's String Trio Op. 45.