EXTRACTED METHOD: e8_spectral_projection — E8 Intelligence Research

Q: What does this research mean for the field?

Complex audio features from symphonic music can be extracted and mathematically projected onto an E8 lattice using Gram-Schmidt orthogonalization to compute average Euclidean distances to nearest root vectors. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22122055

August 27, 2026Open Access

EXTRACTED METHOD: e8_spectral_projection — E8 Intelligence Research

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Key Points

The objective is to establish an algorithmic pipeline that extracts multidimensional spectral features from symphonic audio and maps them onto the eight-dimensional E8 lattice.
Extracted instantaneous frequency, spectral flux, and inter-channel coherence from orchestral audio recordings using the librosa package.
Converted extracted acoustic features into a 240-bin frequency histogram.
Projected histogram features onto an E8 lattice via Gram-Schmidt orthogonalization and calculated the mean Euclidean distance to the closest root vector.
Demonstrated an end-to-end mathematical workflow translating continuous orchestral acoustic signals into discrete 240-dimensional representations aligned with E8 lattice root vectors.
Quantified structural mapping fidelity through computed average Euclidean distances between audio feature projections and target lattice points.

Implication

Computational analysis demonstrates projection of symphonic audio spectra onto an E8 lattice, suggesting novel geometric representations for acoustic signals.

Abstract

rule: Extract audio features (instantaneous frequency, spectral flux, inter-channel coherence) from a symphony using librosa, convert to 240-bin frequency histogram, project onto E8 lattice via Gram-Schmidt, compute average Euclidean distance to nearest root vector. source: rlab #199 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a9299ac8e5d7d1fc0c11c04 https://doi.org/10.5281/zenodo.22122055

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EXTRACTED METHOD: e8_spectral_projection — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

EXTRACTED METHOD: e8_spectral_projection — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

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