Musical Encoding of E8 Root Vectors — E8 Intelligence Research

Discovered via YouTube: "The Geometry of Music" (The Harmonagon Project) URL: https://www.youtube.com/watch?v=ZWzwb4BumIk The Harmonagon Project demonstrates a systematic correspondence between the 12-tone chromatic scale and the 240 root vectors of the E8 lattice, proposing that harmonic relationships can be expressed as geometric transformations within the 248‑dimensional E8 space. This framework extends existing E8 geometry research by providing a concrete auditory representation of the abstract mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20436157
Primary Topic
Music Technology and Sound Studies
Type
preprint
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preprint

Musical Encoding of E8 Root Vectors — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Music Technology and Sound Studies
preprint

Musical Encoding of E8 Root Vectors — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Discovered via YouTube: "The Geometry of Music" (The Harmonagon Project) URL: https://www.youtube.com/watch?v=ZWzwb4BumIk The Harmonagon Project demonstrates a systematic correspondence between the 12-tone chromatic scale and the 240 root vectors of the E8 lattice, proposing that harmonic relationships can be expressed as geometric transformations within the 248‑dimensional E8 space. This framework extends existing E8 geometry research by providing a concrete auditory representation of the abstract mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Music Technology and Sound Studies
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