{"id": "c575", "title": "C575 — Compress Key gains and day volumes", "filename": "C575.md", "role": "Research action", "step": 575, "sha256": "b3a3913416e0313e99739a7f7faedfeff5a2c281e9ecb4673aabb38242f215d7", "bytes": 1252, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C575"], "download": "/sources/b3a3913416e0313e99739a7f7faedfeff5a2c281e9ecb4673aabb38242f215d7.md", "format": "md", "derived": true, "tags": ["Calendar Keys", "Counts & NT"], "excerpt": "Which apparent agreements follow automatically from the897 normal form?", "content": "# C575 — Compress Key gains and day volumes\n\n## Question\n\nWhich apparent agreements follow automatically from the897 normal form?\n\n## Inputs\n\n```json\n{\n  \"input\": 897,\n  \"outputs\": [\n    900,\n    910,\n    975\n  ],\n  \"calendar_days\": [\n    364,\n    360,\n    336\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File12 calendrical physics; File63; C574\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:18:13.085285+00:00\n\n## Results\n\n```json\n{\n  \"gain_coefficients\": [\n    3,\n    13,\n    78\n  ],\n  \"output_gap_coefficients\": [\n    10,\n    65,\n    75\n  ],\n  \"day_volume_coefficient\": [\n    327600,\n    327600,\n    327600\n  ],\n  \"lattice_condition\": \"integer S divisible by lcm(299,69,23)=897\"\n}\n```\n\n## Finding\n\nThe gains3n/13n/78n, output gaps10n/65n/75n and common327600n day volume are consequences of one calibrated lattice. They should be counted as dependent outputs of that structure.\n\n## Reassessment\n\nReconstruct the smaller quarter-carrier ladder that supplies483.\n\n## Checks\n\n```json\n{\n  \"gains\": true,\n  \"volume\": true,\n  \"denominators\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:18:13.085521+00:00\n\n## Record provenance\n\nExact record hash: `31f205ce8a16483fc8ea59dc4f3daff6298cee9537b33678569153513a49ade6`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-180803601a2db301", "title": "File 63"}, {"id": "d-9a1eff41920cd0f8", "title": "File 12"}]}