NUMBER – many of Cage’s late pieces are
often referred to as the “number” pieces, stemming from their TITLES
(Two6 is the sixth of the number pieces to employ two
players). “Do you need some numbers? I have lots of numbers,” Cage
once asked this writer. “John Cage loved numbers,” says Mark Swed
in Cage and Counting – The Number Pieces. The use of numbers
was a crucial element in Cage’s CHANCE-based
compositional techniques, dividing the ranges of the violin and the piano
into equal segments, determining the size of TIME
BRACKETS, and distributing equally the likelihood that any given
element from a pre-determined
GAMUT
would occur.