JOHN GRESCHAK
CELLO SUITE
(1998)
Transformations
In the Cello Suite, the following transformations are used to generate
new material from the two short
themes:
Transposition
Inversion
Retrograde
Circular Shift
Truncation
Swap
Repetition
Echo
Transformations may combined (e.g. truncation of inversion or left
circular shift of retrograde).
See also
Cello Suite Pivot Tones
Transposition
A theme may be transposed.
In addition, each note of a theme may be transposed
by any number of octaves up or down.
Inversion
A theme may be inverted.
Retrograde
A theme may be played backwards.
Circular Shift
The last note of a theme may be played and then followed by the first through
penultimate notes of the theme. This is a right cicular shift by 1.
The second through last notes of a theme may be played and then followed
by the first note. This is a left circular shift by 1.
Truncation
A theme may be right truncated by omitting the last note or left
truncated by omitting the first note.
Swap
Any two notes in a theme may be exchanged.
Repetition
Any note of a theme may be repeated any number of times before the next
note of the theme is played. Also, any repetition of a note in a theme may
be omitted.
Echo
A given note of a theme may be repeated (echoed) at some time after the
note that follows it in the theme.