{"id": "c503", "title": "C503 — Cross-tradition range of the598 mechanism", "filename": "C503.md", "role": "Research action", "step": 503, "sha256": "653b9268030ba3ff76afc651d1018b4b03312383926fb3310407040a9470163c", "bytes": 1819, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C503"], "download": "/sources/653b9268030ba3ff76afc651d1018b4b03312383926fb3310407040a9470163c.md", "format": "md", "derived": true, "tags": ["Mirror / 529"], "excerpt": "Does the whole J/N/F progression transfer, or only its local Noah–Flood interval?", "content": "# C503 — Cross-tradition range of the598 mechanism\n\n## Question\n\nDoes the whole J/N/F progression transfer, or only its local Noah–Flood interval?\n\n## Inputs\n\n```json\n{\n  \"Jared_NoahG1_FloodG2\": {\n    \"MT\": [\n      3654,\n      3056,\n      2458\n    ],\n    \"LXX\": [\n      4534,\n      3836,\n      3238\n    ],\n    \"SP_equalized\": [\n      3954,\n      3706,\n      3108\n    ]\n  },\n  \"fixed_anchor\": 12026\n}\n```\n\n## Sources\n\n```json\n[\n  \"File18 §§2.1.3,3.1–3.2,4.1; local Gear tables\",\n  \"File52c §3.15\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:44:42.337774+00:00\n\n## Results\n\n```json\n{\n  \"MT\": {\n    \"Jared_to_Noah\": 598,\n    \"Noah_to_Flood\": 598,\n    \"radii\": [\n      8372,\n      8970,\n      9568\n    ],\n    \"radius_residues_mod23\": [\n      0,\n      0,\n      0\n    ]\n  },\n  \"LXX\": {\n    \"Jared_to_Noah\": 698,\n    \"Noah_to_Flood\": 598,\n    \"radii\": [\n      7492,\n      8190,\n      8788\n    ],\n    \"radius_residues_mod23\": [\n      17,\n      2,\n      2\n    ]\n  },\n  \"SP_equalized\": {\n    \"Jared_to_Noah\": 248,\n    \"Noah_to_Flood\": 598,\n    \"radii\": [\n      8072,\n      8320,\n      8918\n    ],\n    \"radius_residues_mod23\": [\n      22,\n      17,\n      17\n    ]\n  }\n}\n```\n\n## Finding\n\nThe selected NoahG1–FloodG2 interval598 transfers to all three. The preceding interval is598,698,248 respectively, so the complete14/15/16 pattern and its three-Key integrality do not transfer. Local compatibility survives without whole-field identity.\n\n## Reassessment\n\nCheck the tenfold529 placement on the same fixed cross-tradition states.\n\n## Checks\n\n```json\n{\n  \"local_interval\": true,\n  \"prior_interval\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:44:42.338004+00:00\n\n## Record provenance\n\nExact record hash: `525bb0240ea56b08dc1edf5f230626095b925afa8cc058bfdcb97941aa103022`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}