C504 — Cross-tradition range of the tenfold529 placement

Question

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

Inputs

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

Sources

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

Opened utc

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

Results

{
  "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

{
  "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