Philip Glass: Piece in the Shape of a Square (1967) EXCERPT

Performed by Neil R. Coulter, recorded in Ukarumpa, Papua New Guinea, on September 13, 2013.

Philip Glass wrote Gradus in 1968, upon returning to New York after studying with Nadia Boulanger and Ravi Shankar. A “gradus” is a kind of method book or exercise book to help learn an instrument; it means “steps.” Glass's composition, dedicated to his frequent saxophonist-collaborator Jon Gibson, is an early example of what would become his trademark minimalist style. Minimalism sets a number of variables as constants in order to highlight changes within a smaller set of variables. In Gradus many elements that usually change throughout a piece of music are kept static through the whole piece. The first movement comprises 65 lines, with each line subdivided into 32 beats (each beat being an eighth note or eighth rest). All of the notes played by the saxophonist are eighth notes, and all rests are eighth rests. The tempo is quarter note = 132, and it remains constant from the beginning to the end. The beginning of the piece is marked with the dynamic mezzo-forte, and that does not change as the piece progresses. All of these elements are kept the same throughout the piece in order to draw attention to the main thing that changes: the set of pitches available for the melody. The piece begins with an ascending melody of five pitches. Those five pitches are manipulated into different patterns, and gradually new pitches are introduced into the mix, one at a time. Because this is the only significant change, each new pitch sticks out much more obviously than in a piece in which all the variables are constantly changing. Though the pitches are put through many different arrangements, there is always a pull toward the ascending melody from the beginning, and by the end of the piece the ascending melody contains nine pitches.

Philip Glass - Gradus (Part 1), for soprano saxophone (1968)

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Philip Glass - Gradus (Part 1), for soprano saxophone (1968)

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