{"paper":{"title":"Gerberto e la misura delle canne d'organo","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.pop-ph"],"primary_cat":"physics.hist-ph","authors_text":"Costantino Sigismondi","submitted_at":"2012-11-02T12:39:14Z","abstract_excerpt":"Gerbert of Aurillac in the Mensura Fistularum explained how to compute the length of organ pipes. The method is shown on two octaves, starting from a fistula of length L=16 units and radius 1 which is equivalent at a monochord of length {\\lambda}=18. The adopted acoustic correction for the first octave to the Pythagorean lengths is L={\\lambda}-{\\alpha}r with {\\alpha}=2. The lower octave starts from L=36-2=34 units. The proportion 16:34=34:x is used for obtaining the next diapason. All lengths of the notes of this second octave follow this proportion and no more the additional acoustic correcti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0438","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}