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Autor principal: Lesperance, Joel Michael
Formato: Recurso digital
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Publicado: Zenodo 2025
Acceso en línea:https://doi.org/10.5281/zenodo.18090201
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author Lesperance, Joel Michael
author_facet Lesperance, Joel Michael
contents <div> <div> <div> <div> <p>This paper presents a geometric reinterpretation of harmonic structure traditionally represented by Euler’s Tonnetz, reframed as a spherical electromagnetic coherence field. By restricting the system to the minimal prime set {2, 3, 5}, corresponding to enclosure, rotational symmetry, and internal modulation, the Tonnetz resolves naturally into a nested spherical topology. In this framework, harmonic relationships correspond to electromagnetic field geometry, resonance governs behavior, and phase-locked activation replaces linear propagation. Musical systems are treated as early perceptual mappings of this structure rather than its origin, revealing a shared geometric foundation underlying electromagnetic, photonic, and plasma-based systems.</p> </div> </div> </div> </div>
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publishDate 2025
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spellingShingle THE SPHERICAL TONNETZ: A Coherence-Field Interpretation of Electromagnetic Structure Using Minimal Prime Geometry (2–3–5)
Lesperance, Joel Michael
<div> <div> <div> <div> <p>This paper presents a geometric reinterpretation of harmonic structure traditionally represented by Euler’s Tonnetz, reframed as a spherical electromagnetic coherence field. By restricting the system to the minimal prime set {2, 3, 5}, corresponding to enclosure, rotational symmetry, and internal modulation, the Tonnetz resolves naturally into a nested spherical topology. In this framework, harmonic relationships correspond to electromagnetic field geometry, resonance governs behavior, and phase-locked activation replaces linear propagation. Musical systems are treated as early perceptual mappings of this structure rather than its origin, revealing a shared geometric foundation underlying electromagnetic, photonic, and plasma-based systems.</p> </div> </div> </div> </div>
title THE SPHERICAL TONNETZ: A Coherence-Field Interpretation of Electromagnetic Structure Using Minimal Prime Geometry (2–3–5)
url https://doi.org/10.5281/zenodo.18090201