GAMUT Paper
Layered symplectic musical space — proof paper
The academic flagship: theorem-driven, AMS-format, and intended for submission as a mathematics preprint. Contains the full proof trail from discrete seed to stratified symplectic quotient.
This is the academic flagship paper, intended for submission as a mathematics preprint (arXiv/journal). It provides the full proof-oriented formalization with five labelled main results (Theorems A–E), complete proofs of all claims, and an appendix on stabilizer calculations and reduced-orbifold local models.
Relationship to other documents: The technical survey covers overlapping ground in an interdisciplinary register accessible to readers in music theory, computer science, and mathematics. The camera-ready volume is the public-facing essay collection. This proof paper is the most formal of the three and should be treated as the research-grade companion.
Citation
Jason St George, “Cyclic Autocorrelation, Permutation Fibers, and a Layered Symplectic Model for Pitch-Class Space,” GAMUT Research Program, March 2026.
Version: 1.0 (March 2026) · MSC 2020: 53D20, 42A16; 05E18, 57S17, 00A65