Clifton Callender

composition, music theory, mathematics

Canonic Offerings is based on my work with canons that have an infinite number of solutions. These are maximally self-similar melodic lines that can be combined successfully and performed simultaneously by any number of voices, each voice at its own tempo yielding either rational or irrational tempo ratios, with the melody moving either forward or backward. In Canonic Offerings I have selected a small number of these combinations based on three such melodies, attempting to give the flavor of the combinatorial possibilities within the context of a unified (and finite) composition.