Amos Elkana — composer and guitarist

Peano Curve

Year: 2017    op.46b
Duration: 2 minutes
Publisher: AMEL•MUSIC
score

Instrumentation

piano

Program Note

Peano Curve is the first of four miniatures that make up Piano Fractals (op.46), composed in 2017. The title refers to the Peano curve — a space-filling curve discovered by mathematician Giuseppe Peano in 1890 — which passes through every point of a square through an infinite series of self-similar iterations.

In this piece, the fractal principle is translated into music through a meticulous organization of pitch and rhythm: a basic unit of duration functions as the foundational "cell," which is progressively grouped and nested to form larger musical structures — mirroring the recursive nature of the Peano curve itself.