THE SPHERICAL TONNETZ: A Coherence-Field Interpretation of Electromagnetic Structure Using Minimal Prime Geometry (2–3–5)
Fuente:
Zenodo
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Veröffentlicht: |
Zenodo
2025
|
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866901525249392640 |
|---|---|
| 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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18090201 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| 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 |