Mathematical Harmonies Beyond the Decimal System: A Comparative Framework for Alternative Base Systems in Music Theory

This essay examines how numerical base systems may influence music theory and practice across different cultures. We analyze three distinct mathematical frameworks: the Western decimal-duodecimal hybrid system, the Arabic maqam system with its characteristic quarter-tones, and a Maya-inspired vigesimal (base-20) system.

Publication Details

Journal: Zenodo (CERN European Organization for Nuclear Research)
Published: 2025-06-30
DOI: https://doi.org/10.5281/zenodo.15771347
Primary Topic: Neuroscience and Music Perception
Type: article
Field-Weighted Citation Impact: 0.00

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article

Mathematical Harmonies Beyond the Decimal System: A Comparative Framework for Alternative Base Systems in Music Theory

Jun 30, 2025

Zenodo (CERN European Organization for Nuclear Research)

Neuroscience and Music Perception

article

Mathematical Harmonies Beyond the Decimal System: A Comparative Framework for Alternative Base Systems in Music Theory

June 30, 2025article en

Abstract

Zenodo (CERN European Organization for Nuclear Research)

Openalex Percentile: Top 48%

Neuroscience and Music Perception

DOI Open Access PDF OpenAlex

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Mathematical Harmonies Beyond the Decimal System: A Comparative Framework for Alternative Base Systems in Music Theory · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS