# C753 — Transfer the defect law across traditions

## Question

Which ordinary rows have nonzero defects in each tradition?

## Inputs

```json
{}
```

## Sources

```json
[
  "File18 rows; File51a rules"
]
```

## Opened utc

2026-09-28T01:53:45.849230+00:00

## Results

```json
{
  "defects": {
    "MT_native_OFF": {
      "Methuselah": {
        "K": -5,
        "residues": [
          2,
          2
        ]
      },
      "Reu": {
        "K": -5,
        "residues": [
          2,
          2
        ]
      }
    },
    "LXX_native_ON": {
      "Methuselah": {
        "K": -5,
        "residues": [
          2,
          2
        ]
      },
      "Lamech": {
        "K": -5,
        "residues": [
          2,
          1
        ]
      },
      "Reu": {
        "K": -5,
        "residues": [
          2,
          2
        ]
      }
    },
    "SP_native_OFF": {
      "Reu": {
        "K": -5,
        "residues": [
          2,
          2
        ]
      }
    }
  },
  "inclusive_rows_not_ordinary_biographies": {
    "MT_native_OFF": [],
    "LXX_native_ON": [],
    "SP_native_OFF": [
      "Jared",
      "Methuselah",
      "Lamech"
    ]
  }
}
```

## Finding

LXX adds main Lamech(182+571=753), class(2,1), with defect−5. SP ordinary Reu also has−5. Inclusive SP rows remain ledger diagnostics.

## Reassessment

Reconstruct the full MT cumulative rounding field.

## Checks

```json
{
  "MT": true,
  "LXX": true,
  "SP": true
}
```

## Closed utc

2026-09-28T01:53:45.849834+00:00

## Record provenance

Exact record hash: `66aa0364f0053ffc5926e5fc098b542f4d1f78ad357b2f188f6d65559db9228d`

Source journal: `Research_Cycles/C0732_C0831/journal.json`