Serialism Applied to a Mathematical Curiosity: The Musical Analogue to the Smallest Known Sierpinski Number

Year: 2024 Authors: Robert S. Groth

Core claim

Auditory analogues of Sierpinski-number coverings can generate a serial composition from the smallest known Sierpinski number, 78557.

Topics

Sierpinski numbers, serialism, musical analogue, coverings, congruence classes

Domains

number theory, modular arithmetic, prime coverings, music composition, serial music, atonality

Methods

formal analogy, auditory encoding, pitch-row construction, rhythmic mapping

Media

score, MIDI performance, audio files

Source status

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