Regular MT–SP–LXX Comparative Genealogical Engine — Report II

The Creation-Week 25→13 Ladder, the Cainan-Leveled Post-Flood Countdown, the 22+1=23 Flood Pivot, and the Corporate-Adam 720/728 Closure

Discussion synthesis — September 2, 2026

Parent report: Regular MT–SP–LXX Creation-to-Noah Engine.md
Scope: Regular chronology and regular cross-manuscript comparison only
Next stage: Cumulative MT–SP–LXX chronology, to be opened in a separate discussion

0. Status, purpose, and relation to Report I

This is the second discussion report in the regular MT–SP–LXX Creation–Noah study.

The parent report established the wider regular engine:

• the elementary +60 Terah and +130 Cainan operators;
• the ordered 60|70|60 variant field;
• the full 405 = 190+215 lattice;
• the twelve Creation wrappers and eight Noah rows;
• the Triple-1656 spine;
• the 1250/650 Creation–Flood symmetry;
• the 625/325 half-gap hubs;
• the Key-of-23 expansions;
• the SKL/Berossus and precessional extensions;
• the preliminary master-formula hierarchy.

The present report does not reopen that entire apparatus. It takes Report I as the parent and asks a narrower question:

What happens when the regular begetting-age differences of the LXX, SP, and MT are traced one patriarch at a time from Adam through Abraham, while the three traditions are deliberately placed on one common Cainan-leveled lattice?

The purpose has been to expose the simplest grammar behind the apparent complexity.

The central result is that the begetting-age variants are not randomly dispersed. They form:

1. a seven-day Creation-week descent;
2. a Kenan/Cainan center;
3. a Jared/Enoch Day-6 transfer;
4. a post-Flood seven-step countdown;
5. a 6+7=13 LXX weave;
6. a 3+7=10 SP weave;
7. a combined 22+1=23 variant-slot field;
8. a ten-term Noah-lifespan equation;
9. a simple explanation of the Triple-1656 spine;
10. a tri-manuscript corporate-Adam 720/728 calendar closure.

The cumulative chronology of the repository was intentionally held outside the proof. The column called “cumulative from Adam” in the discussion meant only a running sum of regular begetting ages. It must not be confused with the repository’s Cumulative chronology, which stacks lifespans and will be the subject of the next discussion.

0.1 Principal conclusion in one display

The simplest pre-Flood equation reached in this discussion is:

The term-count anatomy is:

Only after the full structure is visible should it be compressed to:

The first six terms are the six LXX centenary differences from MT. The last three are the three SP walkbacks from MT, read backward from the Flood pivot. The central 1 is the full Flood year.

The post-Flood field then explains why the one-year completion is specifically:

Both leveled LXX and SP independently contribute:

Therefore:

The upper equation explains where the one year belongs.
The lower equation explains why it completes specifically to 130.

Part I — Working state and comparison discipline

1. Regular chronology only

The present report uses the regular chronology generated from patriarchal begetting ages.

Two objects must remain distinct:

Any phrase such as “cumulative from Adam” below means the first object only.

2. Standard date plane

The date table from Shem through Abraham uses the standard:

with:

and with second Cainan initially removed from the common comparison.

The basic Creation endpoints on this leveled plane are:

so that:

and:

The LXX coordinate here is a theoretical Cainan-expunged comparison state. It does not deny that second Cainan is indigenous to the ordinary LXX genealogy.

3. Symmetrical Cainan handling

Cainan must be handled symmetrically across the three manuscripts.

Cainan OFF

Remove indigenous second Cainan from the LXX and leave him absent from SP and MT:

This allows all three manuscripts to occupy the same lattice.

Cainan ON

Restore the same +130 begetting-age generation to SP and MT alongside the indigenous LXX Cainan:

This increases the Adam-to-Moses name count from 26 to 27, but because the same operation is applied to all three traditions, the inter-manuscript gap arithmetic remains leveled.

The comparison is therefore not:

LXX with Cainan versus SP/MT without Cainan.

It is:

This shared state permits all three traditions to participate in the full regular lattice:

The tables below occupy one fixed +215 slice of that lattice. The other operators are opened only where explicitly stated.

4. Interpretive frame

The comparative manuscript field is read as a theological or providential cipher.

The arithmetic may reflect:

• deliberate scribal arrangement;
• inherited chronographic shaping;
• reciprocal adjustment across textual traditions;
• providential superintendence beyond one human encoder;
• or a synergistic combination of these.

The report does not require that one historical scribe consciously designed the entire system. It studies the received MT–SP–LXX field as the operative object.

Arithmetic fact, source datum, structural inference, and theological interpretation must nevertheless remain distinct.

Part II — Adam through Noah: the seven-day Creation-week descent

5. The seven begetting patriarchs and the Creation week

The first seven begetting patriarchs represent and complete a seven-generation Creation week:

Methuselah is therefore the eighth patriarchal generation and the first node after the completed seven-day block.

The week follows the Creation pattern:

This placement is essential. Jared’s exceptional SP 62 occurs on Day 6, while Enoch’s Day 7 completes the LXX centenary shuffling at Methuselah’s birth.

6. Full Adam-to-Noah comparison table

The raw Noah row must remain primary:

The phase-completed row is a second state:

The phase does not emend 129 into 130. It completes an inherited 130 compartment by transferring the residual one year at the Flood boundary.

Part III — The Creation-week odd-number ladder

7. The normalized sequence

The opening and seven day-states are:

Factoring out 50 gives:

This expands the parent report’s 25:13 Creation/Noah frame into a generation-resolved staircase.

The 3+3+1 display is:

Every day carries a 100-year operation:

Day 6 is not inactive. Jared moves 100 from the LXX–SP compartment into the SP–MT compartment:

while preserving:

8. The direct 5×/10× begetting-age locks

The principal day-values lock to the actual begetting ages:

The apparent exception is the duplicated:

on Days 5 and 6. That exception is resolved by the Terah/Cainan operator field in Part V.

8A. Day One: Seth’s 1150→1250 Key exchange

On the leveled standard plane:

uses the LXX age:

The MT side is:

using:

Therefore the Seth-to-Seth manuscript gap is:

And:

The Priestly expansion restores the opening 1250:

The recovered 100 may be absorbed on either side of the comparison.

LXX-side absorption

Move the LXX Seth node earlier by 100:

Then:

while:

Thus the LXX 230 can be resolved to the common 130 under the expanded comparison.

MT-side absorption

Hold LXX Seth at 5134 and move the MT Seth node forward by 100:

Then:

while:

Thus the MT 130 can be expanded to 230.

This is a geometric exchange, not a claim that either manuscript literally contains both ages simultaneously:

The cross-diagonal is also exact:

If the whole LXX Adam–Seth pair is translated by 100:

the internal 230 is preserved while Seth-to-MT expands to 1250.

The larger:

envelope is relevant because second Cainan’s remaining years after Shelah are also 330.

8B. Seth’s 1150 returns at Noah and Shem

The Day-One 1150 is answered near the close of the era.

The MT Shem birth is:

To the Conquest:

The leveled LXX/SP Shem birth is:

so:

On the Gear-1 round Noah/Shem state:

gives:

Therefore:

The same Key expansion used at Seth gives:

Moving the MT Shem head back by 100:

produces:

Shem’s death remains:

so the generated head yields:

Thus the 1150→1250 Day-One operation is not isolated. It returns at the Noah/Shem close, where it participates in:

and:

9. Jared-elided perfect ladder

Because the two adjacent 750 states are equal, the Jared interval may be collapsed as a structural comparison:

This is:

It is a perfect seven-term descending odd-number sequence.

Its center and average are both:

Indeed:

Thus:

The Jared-elided state does not claim that Jared was historically absent from Genesis. It identifies Jared as a formally removable/restorable Day-6 slot whose retention duplicates 750, transfers one century internally, and interrupts the otherwise uninterrupted outer descent.

Part IV — Kenan/Cainan as the center

10. Kenan’s 190 is the total variant width

At the birth of Kenan, the LXX begetting age is:

The same 190 is the total width of the elementary Terah/Cainan variant field:

Kenan, Hebrew קֵינָן, is the same name as second Cainan and is paired with him elsewhere in the repository.

11. The fivefold variant row

At Kenan:

with total:

These values are exactly:

Therefore:

The entire manuscript-gap row is a fivefold expansion of the primary variant grammar.

12. The actual half-gap hubs occur at Kenan

The running begetting totals at Kenan are:

These are the two principal half-gap hubs identified in Report I:

They also factor:

And:

But the gap row gives independently:

Thus Kenan carries two simultaneous decompositions:

The two pairs differ by the central 25 exchange:

This identifies the Day-4 threshold as the actual chronological location of the 625/325 geometry.

Part V — Jared, Enoch, and the Cainan flank

13. The Day-5 and Day-7 flanks

Days 5 and 7 carry the same begetting-age vector:

They flank Jared’s Day-6 vector:

The flanking values reconstruct second Cainan’s 130+330=460 biography:

and:

Second Cainan begets Shelah at 130 and lives 330 more years, for a total 460.

Thus the Cainan anatomy is rotated across the Jared field:

14. The Jared threshold 960/460/460

At Jared’s birth:

The MT/SP cumulative is exactly:

The LXX exceeds it by:

But:

so:

Therefore:

This makes the Jared threshold a Cainan/Watcher unit plus its Priestly expansion.

15. Jared as the sole non-mod-5 day-slot

Among the seven Creation-day begetters, Jared alone has begetting ages not divisible by 5:

Removing Jared’s interval from the Methuselah running totals gives:

And:

Hence:

This is a second formal Jared-elision effect:

1. the duplicated 750 collapses into the perfect odd-number ladder;
2. the three running totals become exact multiples of 25.

The proper claim is not that an extant manuscript omitted Jared. It is that Jared functions numerically as an expungable/restorable Day-6 cipher-slot, analogous in structure to second Cainan.

16. Resolving the Day-6 750

The unshifted Jared row is:

LXX/SP-side Terah activation

Activate only the +60 Terah operator on the LXX/SP side:

Then:

The internal SP–MT compartment becomes:

so the shifted partition is:

MT-side Cainan activation

Activate only restored Cainan’s +130 on the MT side:

Then:

The shifted partition is:

Full four-state audit

If both operators are opened as a complete rectangle, the fourth state is:

Thus:

with intervals:

The primary historical-theological comparison, however, is not the simultaneous 680 state. It is the pair of one-operator projections:

17. The 750 as a scale crossover

The same 750 is:

in the manuscript-gap ladder, and:

in the Priestly 720/30 rail.

It is also:

Thus the apparent “missing 15” is not an unresponsive term. It is the crossover between:

• the 50-unit manuscript ladder;
• the 30-unit Priestly rail;
• Jared’s 162/62 age pair;
• the Terah/Cainan 60/130 operators.

Part VI — Cainan and Terah converge at Abram’s call

18. Cainan’s regular biography

On the standard +215 position with restored Cainan but without +60 Terah:

Thus:

19. Terah’s +60 biography

With +60 Terah active:

Thus:

Cainan and Terah therefore share:

• the same 130 begetting age;
• the same 2091 BC death boundary;
• opposite ends of the post-Flood genealogical corridor.

20. Correct manuscript ownership of the operators

The convergence does not require one tradition to activate both variants.

The proper distribution is:

while:

The same distribution resolves Jared’s 750:

on the LXX/SP side, and:

on the MT side.

At 2091 BC, those independently activated paths converge:

The thematic setting is also appropriate: second Cainan transmits Watcher-associated astral knowledge after the Flood, while Terah represents the idolatrous Mesopotamian/Babylonian world from which Abram is called.

21. The post-begetting remainders form the full 405

Cainan has:

years remaining after Shelah.

Terah has:

years remaining after Abram.

Therefore:

This is the full variant weave:

The relation also returns to the Jared flanks:

and:

Thus:

This observation is exact but secondary to the simpler operator-ownership convergence.

Part VII — Shem through Abraham: the Cainan-leveled countdown

22. Leveled post-Flood table

The native LXX Cainan is removed in this primary table. No additional Cainan is inserted into SP or MT. The dates are the standard +215 position with no +60 Terah.

The discarded 780 at Shem and Arphaxad belonged only to native-Cainan LXX compared with Cainan-absent MT:

It is invalid in the present leveled state and is not used.

23. The post-Flood odd-number countdown

Shem’s common 100 preserves the Noahic 650:

The contraction then resumes:

Factoring out 50:

The coefficient sum is:

Therefore:

This is a scalar sum of seven successive manuscript-gap states, not an elapsed chronology.

24. How the post-Flood gap closes

Six patriarchs contribute +100 relative to MT:

Nahor contributes:

Thus:

The final 50 gives Nahor a dual status:

25. Shelah/Cainan weighted center

Two count systems must remain distinct.

Named-patriarch count

With Cainan removed:

With Cainan restored to all three traditions:

Centenary-weighted generation count

Nahor’s 50 is half of the normal 100 manuscript unit. Under this weighting:

• the Cainan-off 26-name field gives Shelah the privileged center;
• the Cainan-on 27-name field shifts the privileged center to Cainan.

This is not the ordinary statistical median of equally weighted names. It is an author-defined centenary-weighted genealogy in which Nahor counts as one patriarch but only half a 100-year differential generation.

The result is:

and:

Part VIII — The basic LXX and SP inventories

26. LXX relative to MT

Before the Flood

The LXX differs from MT by +100 at exactly six fathers:

Therefore:

After the Flood

The leveled LXX differs from MT at seven fathers:

Their differences are:

LXX total

Thus:

variant-bearing fathers, and:

In 50-units:

so:

The 6+7=13 count is the LXX expression of the Atonement Weave associated in the project with Files_58–60 and Supplement A.

27. SP relative to MT

Before the Flood

The SP differs from MT at exactly three fathers:

The raw magnitude is:

The phase-completed magnitude is:

After the Flood

The SP shares the same seven positive differences as the leveled LXX:

SP count and totals

The count is:

This forms a biblical completion/perfection pattern of 3, 7, and 10.

The raw absolute variant volume is:

The one-year phase completes:

The signed net relative to MT is:

Without the one-year phase:

Thus:

under the same one-year completion.

28. Complementary before the Flood, co-registered after

Before Noah, there are nine begetting fathers:

The six LXX differences and three SP differences have no overlap:

Every one of the nine fathers is marked by exactly one non-MT manuscript lane.

After the Flood, the two traditions no longer divide the labor. They share the same seven differences:

lane-slots.

Therefore the complete non-MT slot count is:

Equivalently:

This is a lane-slot count, not a count of unique persons.

Part IX — The 22+1=23 Flood pivot

29. Twenty-two decadal values and one exception

The LXX contributes 13 differences, all divisible by 10.

The SP contributes 10 differences. Nine are divisible by 10; one is not:

Therefore:

The sole exception is exactly:

And it occurs at the final begetting transition immediately before the one full Flood year.

30. Literal signed sequence at the pivot

Written relative to MT in chronological direction:

Because the three SP values are negative, their positive magnitudes must be read in inverse order when walking backward from the Flood:

The main equation is therefore:

The ten terms divide:

Nine of the ten terms arise from the nine begetting fathers before Noah; the remaining central term is the Noah/Flood boundary.

The final shorthand is:

31. Why the 1 belongs with 129

The raw Lamech/Noah arithmetic gives:

At Lamech’s birth, the gap partition is already:

The textual 129 transfers:

The Flood phase transfers the remaining one year:

Thus the completed movement is:

The Flood year is not counted twice. Chronologically it remains the full year from Noah’s 600th to 601st; structurally the same boundary unit is absorbed into the one deficient manuscript difference.

32. Why the completion is 130, not merely 350

The post-Flood comparison independently fixes the unit.

Each non-MT lane gives:

Together:

Therefore the exceptional 129 is not being rounded to an arbitrary convenient number. It is exactly one short of the unit already demanded by both post-Flood lanes.

The simplest causal hierarchy is:

explains where the one year sits, while:

explains why 1+129 closes as 130.

33. The 130+650 and Noah–Shem parallels

Immediately before the Flood:

After the Flood:

Therefore:

This has the same 1+5=6 coefficient pattern as Shem’s life:

Noah’s first 600 years reverse the order:

Thus around the Flood:

while the manuscript field gives:

The 130 completes naturally at Noah’s 600th year because both structures are sixfold.

34. Opening and closing 130

The era begins with:

in MT/SP.

It closes with:

Between them the Fall-to-Flood span expands the unit tenfold:

And after the Flood the doubled manuscript field repeats:

The antediluvian frame can therefore be summarized:

Part X — The Triple-1656 spine explained by the variants

35. Common MT base

The MT regular begetting-age sum from Adam to Noah’s birth is:

This one base generates all three 1656 witnesses.

36. LXX member

The six LXX centenary additions give:

Therefore:

This is the LXX Creation-to-Noah-birth member.

The LXX variant payload equals Noah’s literal pre-Flood age:

37. MT member

The MT uses the unchanged Adam-to-Noah total and Noah’s literal age at the Flood:

This is the MT Creation-to-Flood member.

The two equations are numerically identical but use different node-classes:

• LXX 600: manuscript begetting-age additions;
• MT 600: Noah’s biography.

38. SP member

The SP removes:

from the MT pre-Noah genealogy.

Therefore:

Adding Noah’s entire 950 years gives:

This is the SP Creation-to-Noah-death member.

The reason it equals the MT member is:

The SP removes exactly Noah’s post-Flood remainder from the genealogy, leaving the pre-Flood 600.

39. Unified three-equation form

The LXX and SP variant magnitudes partition Noah’s lifespan:

In full term form:

Thus the variants themselves encode Noah’s biography:

This is the simplest generational explanation of the Triple-1656 spine.

Part XI — Appendix-level mechanism: why the SP one-year phase is coherent

The main argument above does not require the following machinery. This material belongs in an appendix of any eventual repository file. Its role is to show that the one-year completion is not ad hoc.

40. The three SP walkback fathers die in the Flood year

The three SP-specific fathers are:

They are also the three who die in the Flood year in the SP chronology.

In Adam-year form:

for Jared,

for Methuselah, and:

for Lamech.

Enoch is the exception: he is taken before the Flood rather than dying in it.

This makes the SP 100+120+129 walkback a Flood-death triad organized around Enoch.

The interval from Enoch’s taking to the Flood is:

Jubilees’ Enoch biography also supplies:

with:

Enoch therefore carries a sixfold Jubilee measure before or within his heavenly service and a sixfold 70-year measure from his taking to the Flood:

41. Enoch’s 364/365 one-year clutch

Enoch lives:

The Enochian calendar uses:

Symbolically:

Because Enoch begets Methuselah at 65:

but under the one-year contraction:

The Enochian completion restores:

Thus Enoch personifies the one-year phase by which an exclusive 299 becomes the completed 300.

42. MT Enoch confirmation

The MT contains an analogous one-year hinge.

The interval from Enoch’s taking to Noah’s birth is:

The Prophetic expansion gives:

Holding Noah’s birth fixed and expanding 69 to 70 moves the Enoch boundary by one year, converting Enoch’s effective age from 365 to 364.

Thus both SP/BJ and MT place Enoch at the center of a:

and:

one-unit clutch.

43. Enoch’s SP dates and the 180/182 half-calendar

On the +215 comparison plane:

is the exclusive Enoch biography, while:

is the one-year-shifted inclusive companion.

Noah’s corresponding birth pair is:

Therefore:

So Noah’s birth to Enoch’s taking is invariantly:

The Enochian half-year is:

Because the Enochian year is:

its half-scale is exactly:

This allows the local ±2 Gear to mediate between prophetic 180 and Enochian 182.

44. Methuselah’s 720

The SP gives Methuselah:

The biography partitions naturally:

The first 120 is Methuselah’s age when Noah is born:

Noah is 480 when the final 120-year countdown begins:

Thus:

And:

This is two years-of-years and corresponds to one 2-year local Gear step under the 360:1 SKL dilation.

45. Other one-year phase witnesses

The same phase appears in several forms:

at Enoch,

at Methuselah’s age when Enoch is taken,

at Lamech/Noah,

at Noah’s ordinal Flood year,

in the SP walkback,

and:

in the full SP absolute variant volume.

These are not one literal arithmetic operator. They are distinct calendrical, ordinal, and ratio states that repeatedly carry one unit at the Enoch–Noah hinge.

46. Square and Jubilee corroborations

Under the one-year contraction:

and:

Methuselah’s birth coordinate may likewise move:

with:

Lamech’s position gives:

to the Flood threshold, or:

through the completed Flood-year boundary.

These are useful corroborations but are not needed in the main proof.

Part XII — Day/Year 13, Eve, and the Fall

47. The Day-13 state

The Creation chronology is read at two scales:

• seven literal days;
• seven figurative years.

Adam is formed on Day/Year 6.

Eve is formed seven days/years later, and the Fall follows later on that Day/Year 13 horizon.

The MT standard wrapper is:

with:

as Adam/Year 6 and:

as the Eve/Fall Day-13 node.

The same six-year movement from the Creation endpoint produces:

48. Corporate Adam

Genesis 1:27 moves from singular to plural:

Genesis 5:2 makes the corporate designation explicit:

“He called their name Adam.”

Therefore Adam and Eve may be treated typologically as the corporate אָדָם.

The text explicitly gives Adam a lifespan of 930. It does not explicitly give Eve a 930-year lifespan. Applying 930 to Eve is therefore a corporate-Adam chronological projection, not a textual lifespan datum.

49. SP and LXX 1300/2600 Fall relations

SP

The standard SP Creation week is:

The Day-13 Eve/Fall node is:

The Flood is:

Therefore:

This agrees with the BJ/Jubilees Fall-to-Flood 1300 calendar-day structure.

LXX

The leveled LXX Eve/Fall node is exactly 950 years earlier:

Noah’s LXX death is:

Therefore:

Thus the SP carries one 1300, while the LXX carries two.

50. MT death-axis relation

The MT Eve/Fall node is:

Noah’s MT death is:

Therefore:

The Gear-1 companion Noah death at 2106 BC gives:

exposing the local 2 without replacing the exact 2000 member.

The MT does different work from the SP/LXX 1300 family: it opens the death-axis and then targets Shem in a sixfold 360 construction.

49A. SP Day-13/Day-14 phase rail

The SP preserves adjacent exclusive/inclusive Creation heads:

Moving six years to the Day-13 state gives:

The one-year completion gives the full 7+7=14 state:

The corresponding 1300 landings are:

and:

The 3109 member is the one-year pre-Flood/ark-construction companion; the 3108/3107 pair is the Flood boundary. The one-year slide therefore preserves the same 1300 while changing whether the count is attached to Day 13, completed Day 14, ark preparation, or the Flood year.

This is the Creation-side analogue of the Enoch 364/365 and Noah 600th/601st phase states.

Part XIII — The corporate-Adam 720/728 tri-manuscript invariant

51. The moving Noah target

The Triple-1656 spine uses a different Noah event in each tradition:

Thus:

The target event shifts, but the scalar remains invariant.

52. Day-13 and Day-6 companions

Subtract six years from each Creation endpoint:

Thus:

Add two years to each endpoint to reach Adam/Year 6:

Thus:

53. Apply the common 930

Day-6 Adam death

Subtract 930:

Each death node remains:

from its manuscript-specific Noah target.

Explicitly:

Day-13 Eve death projection

Apply the same corporate-Adam 930:

Each projected Eve-death node remains:

from the same target.

Explicitly:

54. Compact tri-manuscript theorem

and:

Their difference is:

and:

Thus all three manuscripts project the same corporate-Adam death geometry onto their respective member of the Noah birth–Flood–death triad.

This is not an MT-only calendar resolution. It is a tri-manuscript invariant that reinforces the local ±2 Noah/Shem Gear through the doubled calendar bodies:

54A. The local 730=2×365 extension

The MT Day-6 Adam-death state is:

The Gear-1 Arphaxad node is:

Therefore:

Together with the Flood target:

and Eve’s projected death:

the MT opens the complete doubled calendar triad:

The local two-year Flood–Arphaxad seam:

is therefore magnified as two full years-of-years. This remains a local extension of the tri-manuscript 720/728 theorem rather than a fourth manuscript target.

Part XIV — The MT Shem counterpart

55. Adam/Year 6 to Shem

The MT targets Shem in a different but complementary way.

The controlled nodes are:

Therefore:

And:

Shem’s life is:

Thus:

Or:

This is the MT counterpart to the SP/LXX 1300/2600 family.

56. Shem’s Flood-centered reversal

At the Gear-1 Flood:

Therefore:

Noah’s first 600 reverses the order:

The Flood is the hinge:

This narrative and arithmetic reversal provides an appropriate context for the Genesis 9 account in which Shem and Japheth walk backward to cover Noah while Ham sees and reports his nakedness. The text explicitly says Shem and Japheth walked backward; it does not explicitly say Ham walked forward. Any forward/backward manuscript analogy remains typological or providential rather than lexical proof.

Part XV — Adam/Seth and Noah/Shem biographical generator

57. Opening residuals

MT/SP Adam:

Thus Adam has:

years remaining after Seth.

LXX Adam:

Thus Adam has:

years remaining after Seth.

58. Closing residuals

Noah:

Thus Noah has:

years remaining after Shem.

Shem:

Thus Shem has:

years remaining after Arphaxad.

59. The four-corner matrix

Explicitly:

Therefore:

This ordinary biographical matrix regenerates the principal blocks found by the more elaborate manuscript analysis:

60. Jubilee closure of the matrix

The opposite corners sum equally:

Thus:

The entire matrix totals:

Its center is:

This is a strong biographical checksum on the regular comparative architecture.

Part XVI — Final regular-comparative synthesis

61. The simplest Creation-week formula

Jared’s duplicated 15 marks the Day-6 internal century transfer.

Collapsed:

centered on:

62. The simplest Kenan formula

with:

and:

63. The simplest Jared formula

with:

and:

64. The simplest post-Flood formula

And:

65. The simplest LXX/SP count formula

Equivalently:

66. The simplest Flood-pivot formula