Kaleidojecture
General
Instrumentation
Marimba, Vibraphone (with additional Glockenspiel plates), Piano
Commission
Written for Han Xia, Kyle Rappe, and Matt Boyle from the Yale Percussion Group
Score Video
Music Video
About the Work
The Collatz Conjecture remains an unsolved mathematical problem. It assumes that we will always reach a loop if we keep halving any even positive integer or tripling it and adding one if it is odd. I explored what happens when we treat that initial number as a frequency. Repeating these basic operations in 12TET yields a satisfying chain of octaves and fifths, and the resulting pitch relations became the generative core of my composition. The title of this percussion trio deliberately incorporates two Ancient Greek words: kalos (meaning “beautiful) and eidos (meaning “form”). I constructed 'Kaleidojecture' using a modified ritornello form in which recurring stretto canons are refracted by episodes of rhythmically driven material laced with metric modulations.