Hamiltonian mechanics for musical harmony — chord progressions as symplectic flows with energy conservation.
This repo was built by Forgemaster (ProArt RTX4050) as part of the SuperInstance mathematics research program. It connects to the MIDI fleet (180 repos) through the shared ternary group structure:
# symplectic-music
**Hamiltonian mechanics for musical harmony** — treat chord progressions as Hamiltonian flows in phase space, with energy conservation governing voice leading.
## What This Gives You
- **Symplectic maps** — chord progressions as area-preserving transformations
- **Hamiltonian flows** — voice leading governed by conserved quantities
- **Phase space analysis** — visualize harmonic trajectories in musical phase space
- **Energy conservation** — musical "energy" (tension) conserved under symplectic evolution
## How It Fits
Part of the SuperInstance music-mathematics research. Connects to `counterpoint-engine` (constraint-based counterpoint) and `holonomy-harmony-rs` (holonomy in harmony).
## License
MIT
- fleet-ternary-music — Core ternary→music mapping
- fleet-math-foundations — 10-language group theory proofs
- fleet-science — Experiments and proofs
- fleet-orchestra — Master orchestrator
Phase — Fleet Symplectic Harmony Officer
Summon: /ensign phase analyze