GAMUT Paper
Layered musical space — technical survey
This manuscript explains the layered stratified construction in an interdisciplinary register, bridging the public essay series and the formal proof paper.
Note: This survey predates the revised AMS proof paper (v1.1, May 2026) and should be read as an earlier interdisciplinary exposition. Its quotient language, gap/order distinction, stabilizer discussion, and fiber counts have not yet been updated to match the current proof paper. A revised survey is planned. Use the revised AMS proof paper as the current authority.
This paper serves as the interdisciplinary bridge between the public essay series and the formal proof paper. It presents the layered construction — from cyclic content through permutation fibers to symplectic thickening — at a level accessible to readers in music theory, computer science, and applied mathematics, without requiring the full AMS-style proof apparatus.
Relationship to other documents: The proof paper provides the complete and current theorem–proof formalization. The camera-ready volume is the public-facing essay collection. This survey bridges the two registers but has not yet been aligned with the May 2026 revision.
Citation
Jason St George, “Layered Musical Space: Content, Order, and Stratified Geometry for the Twelve-Tone System,” GAMUT Research Program, March 2026.
Version: 1.0 (March 2026) · Status: Superseded pending revision