The computed UI is a rosetta
Theorem.The computed UI is a rosetta — compute the UI the same way as the music: the palette already rotates hue by the golden angle (scaleColor / quantumScaleHue, GOLDEN_ANGLE = 360/φ² ≈ 137.5°).
Proof.compute the UI the same way as the music: the palette already rotates hue by the golden angle (scaleColor / quantumScaleHue, GOLDEN_ANGLE = 360/φ² ≈ 137.5°) — a generated sequence on the colour circle exactly as the circle of fifths is on the pitch circle. The three-gap theorem (Steinhaus) forces the hues into ≤3 distinct gap sizes, and the golden angle makes them maximally even (max/min gap ratio → φ, the least-clumping rotation — Vogel phyllotaxis). Its musical twin is the well-formed diatonic scale (7 fifths mod 12, steps 2221221, exactly 2 sizes — Myhill). Colour and scale are one construction, continuous and discrete: the golden angle is the continuous limit of the well-formed generator.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/quantum/science/index.ts#theComputedUiIsARosetta
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"The computed UI is a rosetta" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation theComputedUiIsARosetta.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (theComputedUiIsARosetta @ src/quantum/science) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes theComputedUiIsARosetta (src/quantum/science/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.