Circumnutation
15 inventions for keyboard instrument
Johnson, Tucker
AT THE START of 2022, I composed a short piece for piano constructed from descending diatonic scales and
the 15 partitions of the integer 7. This invention would inspire me to write more inventions. These Read More
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AT THE START of 2022, I composed a short piece for piano constructed from descending diatonic scales and
the 15 partitions of the integer 7. This invention would inspire me to write more inventions. These
Fifteen Inventions correspond to each of the 15 partitions and, as such, have between 1 and 7 strands or
voices. Each invention explores ways of permuting and separating the diatonic collection, creating many
types of musical expressions within a consistent language. Occasionally, vague references to tonal idioms
arise from the obsessive circulation of diatonic material.
The word Circumnutation comes from botany and describes the helical motion of growing stems and
tendrils, a process whose reason has long been debated as either an endogenous action, an exogenous
reaction to stimuli, or some combination of the two. I worked on these inventions for over a year, and I feel a
connection between the process of design and discovery throughout this period and the cultivation of a
garden.