bass clarinet




2015, rev. 2017

Program Notes

This piece exists in a different dimension. Instead of using rhythms built from conventional duple or triple divisions, every rhythm is derived from a quintuple-based rhythmic system. Essentially, a given duration divides into five equal parts, each of which can only be divided into five smaller parts, and so on. Pitch material is based on a dual attractor system where two centricities trace independent arcing paths throughout the piece. The work’s title references the large body of five-dimensional shapes proposed by topologists that are collectively known as polytera. This piece is inspired by three shapes in particular: the hexateron (a 5D tetrahedron), penteract (a 5D cube), and triacontaditeron (5D octahredon).

Related Work

Law of Fives

viola, bass clarinet, marimba, and computer

Polytera II

flute, piano, and computer


two trios