# C504 — Cross-tradition range of the tenfold529 placement

## Question

Does12026=1446+10(Creation−NoahG1) transfer to the declared comparison states?

## Inputs

```json
{
  "MT": [
    4114,
    3056
  ],
  "LXX": [
    5494,
    3836
  ],
  "SP_equalized": [
    4414,
    3706
  ]
}
```

## Sources

```json
[
  "File18 comparison rows",
  "File52c §§3.14–3.15",
  "C481"
]
```

## Opened utc

2026-09-27T22:44:56.887379+00:00

## Results

```json
{
  "MT": {
    "Creation_Noah_width": 1058,
    "tenfold_width": 10580,
    "residual_against_10580": 0,
    "width_mod529": 0
  },
  "LXX": {
    "Creation_Noah_width": 1658,
    "tenfold_width": 16580,
    "residual_against_10580": 6000,
    "width_mod529": 71
  },
  "SP_equalized": {
    "Creation_Noah_width": 708,
    "tenfold_width": 7080,
    "residual_against_10580": -3500,
    "width_mod529": 179
  }
}
```

## Finding

Only the selected MT width1058=2×529 satisfies the fixed tenfold placement. LXX1658 and SP708 miss by6000 and−3500 after scaling. The shared529 duration rule can still organize other sourced families without making this MT input universal.

## Reassessment

Derive that duration rule independently of endpoints and compare C480’s smaller ladder with the rounded macro ladder.

## Checks

```json
{
  "MT": true,
  "misses": true
}
```

## Closed utc

2026-09-27T22:44:56.887586+00:00

## Record provenance

Exact record hash: `8a31561685806c113eb10063bb57d1ccf8ab04ff224fce3138624d45271afe9c`

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