Composers on Mathematical Music
Subtext 2973234


the divi Sion of a whole
in To
pa Rts
d Uration
not frequen Cy
  Taken
as the aspect of so Und
b Ringing about
a distinction b Etween
   
both phra Ses
and large sec Tions
many diffe Rent distinctions
co Uld be thought of
some for instan Ce
concerning symme Try horizontal or vertical
b Ut what i thought of
was a  Rhythmic
structur E
   
in which the  Small
par Ts
had the same p Roportion to each other
that the gro Ups of units the large parts had to the whole
for instan Ce
64 since i T
eq Uals eight eights
pe Rmits
division of both sixty-four and  Each eight into three two and three
   
in  Songe d’une
nui T d’été
satie divided fou R
fo Urs into one two and one (four eight and four)
and in other pie Ces
he worked symme Trically
co Unting
the numbe R
b Etween
   
  Succeeding numbers
following addi Tion six plus two
with subt Raction
six min Us two
and/or rea Ching
a cen Ter of a series of phrases
contin Uing
by going backwa Rds
six  Eight
   
four  Seven five
seven four eigh T six six being
the cente R horizontally five vertically
th Us
Canvas
of  Time is provided hospitable to both noise
and m Usical tones upon which
music may be d Rawn
spac E
   
in which the  Small
in To
the cente R horizontally five vertically
fo Urs into one two and one (four eight and four)
and/or rea Ching
of  Time is provided hospitable to both noise
as the aspect of so Und
pe Rmits
a distinction b Etween

John Cage



Composers on Mathematical Music: A Subtext Poem

Other Work by John Greschak

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