{"abstract":"A concert signature of -8 flats is accepted and transposed instead of rejected.","category":"Music interval and transposition theory","checks":8,"contract":"Input [concert_fifths, written_semitones_above_concert] with concert_fifths -7..7 and an integer semitone shift. The key moves by (7 * shift) mod 12 fifths; the written signature is concert_fifths plus that move, then normalised into -5..6 by adding or subtracting 12 (so six flats is written as six sharps). Invalid input returns None.","evaluation_group":"w2-music-interval-part-key-signature","failed_approach":"Checking only the flat side accepts eight or more sharps.","family":"w2-music-interval-part-key-signature-range-validation","id":"FA-81156","implementations":{"attempt":{"sha256":"9db66d4d9d7406b582e7fc3a70f97c58e3e1a4b02098a04b13513c5a029a1331","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    if not isinstance(x, list) or len(x) != 2:\n        return None\n    concert, shift = x\n    if not isinstance(concert, int) or not isinstance(shift, int) or concert < -7:\n        return None\n    move = (7 * shift) % 12\n    r = concert + move\n    while r > 6:\n        r -= 12\n    while r < -5:\n        r += 12\n    return r\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([0, 2], 2), ([0, -2], -2), ([-3, 2], -1), ([0, 9], 3), ([0, 3], -3), ([0, 7], 1), ([8, 0], None), ([-8, 0], None)], [([0, 9], 3), ([0, 3], -3), ([0, 7], 1), ([0, 14], 2), ([1, 2], 3), ([-1, 2], 1), ([8, 0], None), ([-9, 2], None)], [([0, 14], 2), ([1, 2], 3), ([-1, 2], 1), ([4, 2], 6), ([5, 2], -5), ([-6, 0], 6), ([8, 0], None), ([-8, 0], None)], [([4, 2], 6), ([5, 2], -5), ([-6, 0], 6), ([6, 0], 6), ([7, 0], -5), ([-7, 0], 5), ([8, 0], None), ([-9, 2], None)], [([6, 0], 6), ([7, 0], -5), ([-7, 0], 5), ([0, 0], 0), ([2, -2], 0), ([0, 1], -5), ([8, 0], None), ([-8, 0], None)]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"oracle %d\" % i, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"5417592ca73cc1da596340c28adc2f7f6ef0f6f2da70a5a81c93f5a09fbddb86","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    if not isinstance(x, list) or len(x) != 2:\n        return None\n    concert, shift = x\n    if not isinstance(concert, int) or not isinstance(shift, int) or concert > 7:\n        return None\n    move = (7 * shift) % 12\n    r = concert + move\n    while r > 6:\n        r -= 12\n    while r < -5:\n        r += 12\n    return r\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([0, 2], 2), ([0, -2], -2), ([-3, 2], -1), ([0, 9], 3), ([0, 3], -3), ([0, 7], 1), ([8, 0], None), ([-8, 0], None)], [([0, 9], 3), ([0, 3], -3), ([0, 7], 1), ([0, 14], 2), ([1, 2], 3), ([-1, 2], 1), ([8, 0], None), ([-9, 2], None)], [([0, 14], 2), ([1, 2], 3), ([-1, 2], 1), ([4, 2], 6), ([5, 2], -5), ([-6, 0], 6), ([8, 0], None), ([-8, 0], None)], [([4, 2], 6), ([5, 2], -5), ([-6, 0], 6), ([6, 0], 6), ([7, 0], -5), ([-7, 0], 5), ([8, 0], None), ([-9, 2], None)], [([6, 0], 6), ([7, 0], -5), ([-7, 0], 5), ([0, 0], 0), ([2, -2], 0), ([0, 1], -5), ([8, 0], None), ([-8, 0], None)]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"oracle %d\" % i, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"d633811c3951ee456b8665dd3cef9755dbb3e1a69bc75d3dcf9b8ff82aaff06b","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    if not isinstance(x, list) or len(x) != 2:\n        return None\n    concert, shift = x\n    if not isinstance(concert, int) or not isinstance(shift, int) or concert < -7 or concert > 7:\n        return None\n    move = (7 * shift) % 12\n    r = concert + move\n    while r > 6:\n        r -= 12\n    while r < -5:\n        r += 12\n    return r\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([0, 2], 2), ([0, -2], -2), ([-3, 2], -1), ([0, 9], 3), ([0, 3], -3), ([0, 7], 1), ([8, 0], None), ([-8, 0], None)], [([0, 9], 3), ([0, 3], -3), ([0, 7], 1), ([0, 14], 2), ([1, 2], 3), ([-1, 2], 1), ([8, 0], None), ([-9, 2], None)], [([0, 14], 2), ([1, 2], 3), ([-1, 2], 1), ([4, 2], 6), ([5, 2], -5), ([-6, 0], 6), ([8, 0], None), ([-8, 0], None)], [([4, 2], 6), ([5, 2], -5), ([-6, 0], 6), ([6, 0], 6), ([7, 0], -5), ([-7, 0], 5), ([8, 0], None), ([-9, 2], None)], [([6, 0], 6), ([7, 0], -5), ([-7, 0], 5), ([0, 0], 0), ([2, -2], 0), ([0, 1], -5), ([8, 0], None), ([-8, 0], None)]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"oracle %d\" % i, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"A deterministic bounded teaching model with a stipulated toy contract; it is not a complete music notation or theory engine. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-music-interval-part-key-signature-range-validation","generated_at":"2026-09-29T14:50:00.529434+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Part extraction must print a transposed key signature consistent with the transposed notes.","repair":"Restore the range validation step so that it reads `concert < -7 or concert > 7`.","root_cause":"Only the sharp-side limit of the concert signature is checked.","sha256":"9a45e6a23123559026d4c02a444b4e5fc26843f841ce19c725aa643e0b0343c7","title":"Written key signature for a transposing part: impossible flat concert keys accepted · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":38.794,"exit_code":1,"observations":[{"actual":2,"check":"oracle 0","expected":2,"passed":true},{"actual":-2,"check":"oracle 1","expected":-2,"passed":true},{"actual":-1,"check":"oracle 2","expected":-1,"passed":true},{"actual":3,"check":"oracle 3","expected":3,"passed":true},{"actual":-3,"check":"oracle 4","expected":-3,"passed":true},{"actual":1,"check":"oracle 5","expected":1,"passed":true},{"actual":-4,"check":"oracle 6","expected":null,"passed":false},{"actual":null,"check":"oracle 7","expected":null,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 0\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"oracle 1\", \"actual\": -2, \"expected\": -2, \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": -1, \"expected\": -1, \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": 3, \"expected\": 3, \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": -3, \"expected\": -3, \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": 1, \"expected\": 1, \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": -4, \"expected\": null, \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.3,"exit_code":1,"observations":[{"actual":2,"check":"oracle 0","expected":2,"passed":true},{"actual":-2,"check":"oracle 1","expected":-2,"passed":true},{"actual":-1,"check":"oracle 2","expected":-1,"passed":true},{"actual":3,"check":"oracle 3","expected":3,"passed":true},{"actual":-3,"check":"oracle 4","expected":-3,"passed":true},{"actual":1,"check":"oracle 5","expected":1,"passed":true},{"actual":null,"check":"oracle 6","expected":null,"passed":true},{"actual":4,"check":"oracle 7","expected":null,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 0\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"oracle 1\", \"actual\": -2, \"expected\": -2, \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": -1, \"expected\": -1, \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": 3, \"expected\": 3, \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": -3, \"expected\": -3, \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": 1, \"expected\": 1, \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": 4, \"expected\": null, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":42.695,"exit_code":0,"observations":[{"actual":2,"check":"oracle 0","expected":2,"passed":true},{"actual":-2,"check":"oracle 1","expected":-2,"passed":true},{"actual":-1,"check":"oracle 2","expected":-1,"passed":true},{"actual":3,"check":"oracle 3","expected":3,"passed":true},{"actual":-3,"check":"oracle 4","expected":-3,"passed":true},{"actual":1,"check":"oracle 5","expected":1,"passed":true},{"actual":null,"check":"oracle 6","expected":null,"passed":true},{"actual":null,"check":"oracle 7","expected":null,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 0\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"oracle 1\", \"actual\": -2, \"expected\": -2, \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": -1, \"expected\": -1, \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": 3, \"expected\": 3, \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": -3, \"expected\": -3, \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": 1, \"expected\": 1, \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}