the 6⁶ frequency–time bridge
Theorem.the 6⁶ frequency–time bridge — 432·108 = 2⁴3³·2²3³ = 2⁶3⁶ = 6⁶ = 46656 exactly, the A432 anchor on the ladder at 4·108 with every octave 3-smooth.
Proof.432·108 = 2⁴3³·2²3³ = 2⁶3⁶ = 6⁶ = 46656 exactly, the A432 anchor on the ladder at 4·108 with every octave 3-smooth — frequency and duration are reciprocal directions of one Pythagorean lattice, six lines to the sixth power apart.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#discoveredTheoremsWaveSixtyThree
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 6⁶ frequency–time bridge" 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 discoveredTheoremsWaveSixtyThree.
- 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 (discoveredTheoremsWaveSixtyThree @ src/4/6) 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 discoveredTheoremsWaveSixtyThree (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.