Researchers Alexander Tregubov and David Plazek have proposed a scientific theory of music focusing on the mechanics of harmony [1].

The work attempts to bridge the gap between the mathematical properties of sound and the human emotional response to music. By treating harmony as a measurable scientific phenomenon, the authors seek to move music theory from a descriptive art toward a predictive science.

The paper, titled "Harmony Explained: Progress Towards a Scientific Theory of Music," was posted to the arXiv preprint repository in February 2012 [1]. The authors argue that traditional music theory lacks a rigorous scientific foundation, suggesting instead a model based on the concept of "harmonic space" [1].

"We propose a new approach to the study of musical harmony based on the concept of 'harmonic space'," Tregubov said [1].

This approach utilizes high-dimensional geometry to map how listeners perceive different chords and progressions. According to the researchers, this allows the subjective experience of music to be analyzed as a physical or geometric object [1].

"Our model attempts to capture the subjective experience of listening to music by representing it as a geometric object in a high-dimensional space," Plazek said [1].

While the paper focuses on theoretical frameworks, it has garnered attention in online technical communities. The work received 24 points on Hacker News [2]. The researchers emphasize that the goal is not to replace artistic intuition but to provide a formal language for why certain harmonies evoke specific responses in the human brain [1].

The use of arXiv for the publication allowed the researchers to share their findings with the broader scientific community before undergoing formal peer review [1]. This method of distribution is common for papers that intersect multiple disciplines, such as mathematics, physics, and musicology [1].

“"We propose a new approach to the study of musical harmony based on the concept of 'harmonic space'."”

This research suggests that musical preference and the perception of harmony are not purely subjective but may be governed by underlying geometric and mathematical laws. If the 'harmonic space' model is validated, it could lead to advancements in algorithmic composition and a deeper biological understanding of how the human auditory system processes complex sounds.