GAMUT Press and speaking
Materials for journalists, editors, and event organizers
GAMUT (Geometric-Algebraic Music Theory) is a research program by Jason St George that develops a rigorous geometric framework for musical structure — from cyclic pitch content and permutation fibers to symplectic form over the 12-tone system.
The project bridges mathematical music theory with public explanation through three introductory essays, a technical companion, formal papers, and data visualizations. All publications and datasets are freely available for download.
Downloads
How to cite
Public essay series: Jason St George, The Shape of Musical Possibility: Cyclic Content, Ordered Traversal, and the Geometry of Twelve-Tone Space, GAMUT Research Program, March 2026.
Formal paper: Jason St George, "Cyclic Autocorrelation, Permutation Fibers, and a Layered Symplectic Model for Pitch-Class Space," GAMUT Research Program, March 2026 (revised September 2026).
Website: shapeofmusic.org
About the author
Jason St George is the author of the GAMUT research program. For speaking engagements, press inquiries, or collaboration proposals, please use the contact page.
Version and current status
The September 2026 proof manuscript and the first Lean release establish different levels of evidence. Lean checks ten discrete contracts with 256 required exports; it does not certify the full paper, the visualizer or musical utility. A full AI-assisted manuscript review is recorded in the repository. The research overview links the evidence and the proposed musical-utility studies. No instrument prototype has yet demonstrated performer benefit.