Please enable JavaScript.
Coggle requires JavaScript to display documents.
Four Types of Exceptional Rhythmic Expression (modulatory (mensural…
Four Types of Exceptional Rhythmic Expression
modulatory
mensural modulation
prepared
perfect
imperfect
unprepared
perfect
imperfect
partitioned modulation
prepared
unprepared
mixed mensural
shifting mensuration
rudimentary
extreme
Examples
Henry Cowell, "Quartet Romantic"
Milton Babbitt, "Philomel"
Brian Ferneyhough
Michael Finnissy
Jonathan Dawe
Early Music
The Windsor School
Ars Subtilior
poly-mensuralism
layered
divisible
indivisible
patterned
indivisible
divisible
Examples
Nancarrow
Karen Khachaturian, "String Trio"
Michael Gordon, "Four Kings Fight Five"
Ben Johnston, "Sextet"
Early Music
Ciconia, "Le ray au soleyl"
Pierre de la Rue, "Missa L''homme arme"
Johannes Mittner, "Missa Hercules dux Ferrare"
non-dyadically rational
Use by dyadic rational time signatures
Thomas Ades
Carlos Chavez, "Piano Sonata No. 3"
Use by non-dyadic rational time signatures
Karen Khachaturian
irrational
methods by approximation
Continued fraction algorithms
rational approximations
true irrationality