AI-generated conjecture · below the evidence/publication boundary
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Organ pipe scaling
Status is derived only from the shepherd-authored triage/prediction data above -- community submissions and claims are a separate overlay and can never change it (see the participation panel below).
Claim (verbatim)
Organ pipe scaling. This joins medieval craft practice to modern acoustics. An organ builder must decide how pipe diameter should vary with pipe length across a rank — too narrow and the trebles turn thin and stringy, too wide and the basses go dull — and modern acoustic theory identifies an optimal scaling, a diameter-to-length power law with a specific exponent, that keeps timbre even across the compass. Medieval builders had no such theory; they had only ears and inherited shop rules. The conjecture holds that iterative craft selection was enough: builders converging on what sounded right would converge on the physics, so surviving medieval pipework should exhibit a diameter-to-length power law with an exponent near the modern acoustic optimum. It is empirical physics before physics — the optimum discovered by ear, centuries before it could be derived — and it should still be measurable in the surviving metal.
Prediction clause (verbatim)
For each surviving rank in a corpus of measured medieval pipework, record diameter and speaking length for every pipe, and fit log(diameter) against log(length) to estimate the scaling exponent per rank; compare fitted exponents to the acoustically optimal scaling of modern organ-building theory. Primary clause: the median fitted exponent across ranks must lie within 15 percent of the modern optimum, with the power-law form itself fitting well (log-log R-squared of at least 0.9 for the majority of ranks); exponents scattered far from the optimum, or scaling that is not power-law at all, falsify the claim. The verdict follows the primary clause.
Kill-dataset (verbatim)
measured medieval pipework.
Nobody has run this test. The kill-data is named above. If you can run it — or you know the paper that already settles it — claim the kill or submit the prior scholarship. Kills and prior scholarship are credited here, by name, as they come in.
On Inferpedia
This conjecture has been linked to the following subject pages on Inferpedia — an encyclopedia of the missing, now in limited preview.
Provenance
Run: Imported conversation (verbatim harvest) · model: claude-fable-5
Origin: operator conversation with Claude Fable 5 at max effort, conducted 2026-07-03, relayed verbatim by the operator into the shepherd session on 2026-07-04. No ModelRun exists for the original generation (it happened outside the pipeline); this transcript file is the canonical capture. Transcript path: docs/generated/conjecture_harvest_fablemax_20260703.md. Model (operator-attested, not pipeline-recorded): claude-fable-5. Novelty disclaimer (verbatim, load-bearing -- rule 4): "Same caveat as before, doubled: at 100 items across all of archaeology and history, some of these will have cousins in the literature I can't check. What I can guarantee is the format — each links two things not normally linked, and each names the dataset or measurement that would kill it."
Novelty / leakage triage
anticipated in the literature — this exact test has never been run
Medieval mensuration treatises, measured scaling surveys of surviving historical pipework, and the modern acoustics of diameter-to-length scaling all exist; the power-law fit of measured medieval dimensions against a modern acoustic-optimum prediction was not located. Note counting against the conjecture's direction: the earliest (9th-12th c.) ranks reportedly used CONSTANT scaling — pre-theoretic convergence to modern optima is not obviously supported for the earliest period.
- Organ flue pipe scaling (overview incl. early constant scaling) — Early constant scaling vs later variable rules
- 'Gerberto e la misura delle canne d'organo' (arXiv 1211.0438) — Medieval mensuration treatises
Predictions
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