3 papers
math.GM2026
Nineteen to the Dozen: Embedding the Neo-Riemannian Tonnetz into a Cyclic 19_3 Symmetric Configuration
Pawel Nurowski
This paper bridges combinatorial geometry and music theory to solve the fundamental challenge of embedding classical Western harmony into the microtonal 19-tone equal temperament (…
math.CO2026
What if we decompose a simple tone? The Chinese remainder theorem and structured Levi graphs in music
PaweÅ Nurowski
While motivated by structural problems in mathematical music theory, this article introduces a novel combinatorial framework that advances the classification of cyclic cubic bipart…
math.CO2026
In Search of the Canonical Harmony for 12-TET
Pawel Nurowski
Is the specific structure of Western tonal harmony a physical inevitability derived from acoustics, or is it merely one solution among many in a purely algebraic landscape? In this…