Figure 3 · The Key of 23 in Action

One hinge, two alternative expansions

The 6 BC hinge stays fixed as the span expands backward through schematic genealogy positions.

Held fixed: 6 BC
Christ-generation hinge

Source · Enoch

4836 BC6 BC · fixed

4836 − 6 = 4830

Original span · schematic genealogy positions

Alternative A · Jared

4906 BC6 BC · fixed

4830 × 70/69 = 4900

Increase: 70 years · schematic genealogy positions

Alternative B · Adam

5256 BC6 BC · fixed

4830 × 25/23 = 5250

Increase: 420 years · schematic genealogy positions

Two alternatives from the same 4830These multiplications are not successive. Enoch, Jared, and Adam are positions on the genealogy grid, not ordinary historical birth dates.
4830 expands to 4900 by 70/69, or to 5250 by 25/23. These are alternative operations on the same input.

Sources: File 46 §4.2: three coordinate realizations · File 43: schematic 70-year genealogy frame.

Full table and explanation · Introductory article

Model and calculation details

In File 46’s genealogy lattice, Enoch occupies 4836 BC, Jared 4906 BC, and Adam 5256 BC. These are calculated positions on the 70-year genealogical grid, not ordinary historical birth dates. Holding the 6 BC Christ-generation hinge fixed, 4836 − 6 = 4830; 4830 × 70/69 = 4900 places the earlier endpoint at 4906 BC; 4830 × 25/23 = 5250 places it at 5256 BC. The gains are 70 and 420, respectively. The factors are alternatives; the second row is not fed into the third.

Static image alternativeThree rows share a fixed 6 BC Christ-generation hinge. Schematic Enoch 4836 BC gives a 4830-year source span. The 70/69 alternative gives 4900 years and schematic Jared 4906 BC, a 70-year increase. The 25/23 alternative gives 5250 years and schematic Adam 5256 BC, a 420-year increase. These are genealogical positions, not historical births.

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