# C515 — Shem’s partition is one affine family

## Question

How do the10000+6000 and held-Creation Shem presentations fit together?

## Inputs

```json
{
  "Creation": 14726,
  "inverse_Shem": 5526,
  "Nativity": 6
}
```

## Sources

```json
[
  "File52c §§3.6,3.8.2"
]
```

## Opened utc

2026-09-27T22:48:54.404929+00:00

## Results

```json
{
  "original_parts": [
    9200,
    5520
  ],
  "expanded_parts": [
    10000,
    6000
  ],
  "Nativity_held_triple": [
    16006,
    6006,
    6
  ],
  "Creation_held_Shem": 4726,
  "partition_ratio": "5/3"
}
```

## Finding

The9200+5520 split becomes10000+6000 under one Nativity-held dilation. Holding14726 instead places Shem at4726. The two Shem results differ1280 by the anchor-change law; they are related presentations, not independent outcomes.

## Reassessment

Apply the same whole-family reasoning to the Mahalalel–Shelah–Eber trio.

## Checks

```json
{
  "sum": true,
  "partition": true,
  "triple": true,
  "ratio": true
}
```

## Closed utc

2026-09-27T22:48:54.405267+00:00

## Record provenance

Exact record hash: `f7597c77e27fe0945f2fd4b2171e877e81143132419f1d8066042236b22e6183`

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