# C503 — Cross-tradition range of the598 mechanism

## Question

Does the whole J/N/F progression transfer, or only its local Noah–Flood interval?

## Inputs

```json
{
  "Jared_NoahG1_FloodG2": {
    "MT": [
      3654,
      3056,
      2458
    ],
    "LXX": [
      4534,
      3836,
      3238
    ],
    "SP_equalized": [
      3954,
      3706,
      3108
    ]
  },
  "fixed_anchor": 12026
}
```

## Sources

```json
[
  "File18 §§2.1.3,3.1–3.2,4.1; local Gear tables",
  "File52c §3.15"
]
```

## Opened utc

2026-09-27T22:44:42.337774+00:00

## Results

```json
{
  "MT": {
    "Jared_to_Noah": 598,
    "Noah_to_Flood": 598,
    "radii": [
      8372,
      8970,
      9568
    ],
    "radius_residues_mod23": [
      0,
      0,
      0
    ]
  },
  "LXX": {
    "Jared_to_Noah": 698,
    "Noah_to_Flood": 598,
    "radii": [
      7492,
      8190,
      8788
    ],
    "radius_residues_mod23": [
      17,
      2,
      2
    ]
  },
  "SP_equalized": {
    "Jared_to_Noah": 248,
    "Noah_to_Flood": 598,
    "radii": [
      8072,
      8320,
      8918
    ],
    "radius_residues_mod23": [
      22,
      17,
      17
    ]
  }
}
```

## Finding

The 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.

## Reassessment

Check the tenfold529 placement on the same fixed cross-tradition states.

## Checks

```json
{
  "local_interval": true,
  "prior_interval": true
}
```

## Closed utc

2026-09-27T22:44:42.338004+00:00

## Record provenance

Exact record hash: `525bb0240ea56b08dc1edf5f230626095b925afa8cc058bfdcb97941aa103022`

Source journal: `Research_Cycles/C0482_C0531/journal.json`