Reversed Creation–Flood Spines: LXX Comparison and the Accepted SP Solution

Date: 2026-09-28
Project: 490d Unified Chronology
Report type: Comparative research synthesis
Hierarchy: MT primary; LXX a solid secondary comparison; SP resolved through the accepted rounded Fall construction
Decision recorded: The author's final instruction accepts the simplified SP construction as the solution for this study, superseding its earlier provisional designation.

1. Principal result

The MT remains the primary example: its regular and cumulative Flood spines independently converge on 12026 BC in two stages and 14726 BC in three stages. Applying the same reversal procedure to the declared LXX rounded chronology produces a coherent secondary example, with regular heads 10436/13136 BC and cumulative heads 10936/13636 BC. The LXX preserves a 500-year difference between its regular and cumulative inverse heads and supplies several exact connections to the MT, the Exodus–Babylon comparison, and the Key of 23.

The SP difficulty is resolved here by a single consistent convention: move the lower rounded Creation coordinate forward five years to the rounded Fall coordinate before forming the segments. This gives regular 4406 BC and cumulative 13396 BC. The resulting accepted SP heads are 11606/14306 BC and 11416/14116 BC, with 2736 BC as the two-stage cumulative intermediate node.

Tradition and construction	Two-stage head, held at 1406 BC	Three-stage head, held at 6 BC
MT regular Creation spine	12026 BC	14726 BC
MT cumulative Creation spine	12026 BC	14726 BC
LXX regular Creation spine	10436 BC	13136 BC
LXX cumulative Creation spine	10936 BC	13636 BC
SP regular, accepted Fall construction	11606 BC	14306 BC
SP cumulative, accepted Fall construction	11416 BC	14116 BC

The author's acceptance concerns the SP construction and its interpretation within this study. The numerical results below are exact under the declared operations. The broader reading of these recurring structures as intentional or providential remains the theological and structural argument; no new probability claim is introduced.

Correction retained from the discussion: 11606 BC is 7200 years to 4406 BC, the accepted SP Fall node. It is 7500 years to 4106 BC. The requested 7200 connection is included in its correct form throughout this report.

2. Source figures and calculation conventions

2.1 The rounded source register

Report IV supplies the rounded comparative register; File_18 controls the actual chronological inputs, and File_51a controls the Rounded Scaffold. The LXX here retains native second Cainan and uses the declared full-430 comparative frame. Other sojourn or Terah states enter only where explicitly named. [S1–S3]

Node, BC	MT regular	MT cumulative	LXX regular	LXX cumulative	SP regular	SP cumulative
Conquest comparison anchor	1406	1406	1406	1406	1406	1406
Flood / declared Arphaxad comparison seam	2456	4836	3236	5746	3106	4716
Lower rounded Creation member	4106	14006	5486	14896	4411	13401
Upper rounded Creation member	4111	14011	5491	14901	4416	13406
Fall coordinate adopted in this report	—	—	—	—	4406	13396

The cumulative Flood pairs are MT 4841/4836, LXX 5751/5746, and SP 4721/4716 BC. The final SP construction selects the lower Flood member consistently and applies its five-year adjustment at Creation. It does not require switching Flood boundaries between segments.

The rounded SP cumulative source is reconstructed through Joshua at 1296 BC: its rounded lifespan sum 12105 gives 13401 BC. The 1406 BC Moses/Conquest node then serves as the inversion comparison pivot. Cumulative dates denote serial lifespan boundaries, while regular dates belong to the begetting chronology. [S1]

The rounded LXX inputs have been checked at both levels:

Regular Creation: the actual comparison endpoint 5494 BC becomes lower rounded 5486 BC; the rounded Flood comparison node is 3236 BC.
Cumulative Creation: the actual and rounded lifespan totals both equal 13490, giving 14896 BC from 1406 BC. The actual Nisan Flood/Arphaxad node 5745 BC becomes rounded 5746 BC.
LXX Lamech retains the current reconstruction's 182 begetting input and 753 lifespan; the cumulative rounded lifespan is 755. The former 777 overlay is not propagated into this construction. [S1, S2]

2.2 Placeholder-preserving reversal

For a positive integer written as $n=10^k m$ , with $m$ not divisible by ten:

I(n)=10^k\operatorname{rev}(m).

Trailing-zero placeholders are retained. Examples include 1400 → 4100, 1700 → 7100, 1830 → 3810, and 9150 → 5190. “Inverse” means decimal digit reversal here. A self-reversing span is unchanged by that operation.

Each spine is segmented before reversal. Whole-span reversal and the sum of separately reversed segments are distinct calculations. The established whole-span rule uses 6/1406 BC for source dates ending in 6 and 1/1401 BC for source dates ending in 1. The final constructions in this report use explicitly selected 6-ending nodes; the original 1-ending SP Creation members remain in the source register. [S3, S4]

For a Flood coordinate $F$ and selected head coordinate $C$ , both BC:

H_2=1406+I(F-1406)+I(C-F),

H_3=6+I(1400)+I(F-1406)+I(C-F).

Consequently:

H_3-H_2=4100-1400=\boxed{2700}.

For SP, $C$ is the accepted Fall coordinate. All final spine segments are multiples of ten and require no post-reversal rounding.

Same-side BC intervals use subtraction. The BC-to-AD examples in §6 explicitly use civil elapsed counting, BC + AD − 1, with no year zero. Key-of-23 expansions are separate operations, with the held endpoint stated where a new date is generated.

3. The MT primary example and the LXX parallel

3.1 Two-stage reconstruction from 1406 BC

Construction	Flood–Conquest leg	Creation–Flood leg	Sum after reversal	Rebuilt head
MT regular	1050 → 5010	1650 → 5610	10620	12026 BC
MT cumulative	3430 → 3430	9170 → 7190	10620	12026 BC
LXX regular	1830 → 3810	2250 → 5220	9030	10436 BC
LXX cumulative	4340 → 4340	9150 → 5190	9530	10936 BC

The original LXX legs are:

3236-1406=1830,\qquad5486-3236=2250;

5746-1406=4340,\qquad14896-5746=9150.

The complete rebuilt paths, with every date BC, are:

Construction	Rebuilt two-stage path
MT regular	1406 → 6416 → 12026
MT cumulative	1406 → 4836 → 12026
LXX regular	1406 → 5216 → 10436
LXX cumulative	1406 → 5746 → 10936

The MT convergence is retained as the primary organizing result. The LXX yields two related heads, with a structured 500-year separation.

3.2 Three-stage reconstruction from 6 BC

Prepending the separately reversed 1400 → 4100 leg gives:

Construction	Reversed segments	Rebuilt path, all BC
MT regular	4100 + 5010 + 5610 = 14720	6 → 4106 → 9116 → 14726
MT cumulative	4100 + 3430 + 7190 = 14720	6 → 4106 → 7536 → 14726
LXX regular	4100 + 3810 + 5220 = 13130	6 → 4106 → 7916 → 13136
LXX cumulative	4100 + 4340 + 5190 = 13630	6 → 4106 → 8446 → 13636

The repeated 4106 BC first node is generated by the reversed Conquest-to-Nativity leg. It also shares the ordinary rounded MT Creation label; these are distinct roles of the same coordinate.

3.3 Why the LXX difference is 500

The cumulative and regular LXX reversed sums differ by:

(4340-3810)+(5190-5220)=530-30=\boxed{500}.

Thus both pairs preserve the difference:

10936-10436=13636-13136=500.

The four LXX heads, ordered from earlier to later, have intervals:

13636\xrightarrow{500}13136\xrightarrow{2200}10936\xrightarrow{500}10436.

Their outer span is 3200, whose whole-span reversal is 2300. This remains a secondary observation: reversing the three internal spans separately leaves 500 + 2200 + 500 = 3200 unchanged. The two procedures must remain distinct.

4. LXX alignment with Egypt, Babylon, and the MT

4.1 The self-reversing Flood spans and the 910 translation

The MT and LXX cumulative Flood–Conquest legs are both self-reversing:

I(3430)=3430,\qquad I(4340)=4340.

Their difference is:

4340-3430=910=70\times13=7\times130=1446-536.

The rounded cumulative Shem and Flood coordinates reproduce the same spans against the two target dates:

Tradition	Shem coordinate	Target	Span	Flood coordinate	Span to the same target
MT cumulative	5436 BC	536 BC	4900	4836 BC	4300
LXX cumulative	6346 BC	1446 BC	4900	5746 BC	4300

Both source nodes and the target move by 910. Within the project's Exodus and restoration chronology, this connects the 430-year Egypt register with the 70-year Babylon register. File_29 supplies the theological reading of 910 = 13 × 70 as part of the reconciliation weave. [S1, S5]

4.2 The 9030 and 12600 relations

The LXX regular inverse preserves:

10436-1406=13136-4106=9030=7\times1290=21\times430.

It also gives:

13136-536=12600=14006-1406.

Here the LXX regular three-stage inverse head relates to 536 BC as ordinary MT cumulative Creation relates to 1406 BC. This second comparison translates both endpoints by 870, the Conquest-to-restoration difference. It is distinct from the 910 Exodus-to-restoration translation above.

4.3 The 500 gap reconciles the 40-year Exodus–Conquest interval

LXX inverse head and target	Original interval	Expansion by 25/23	Gain	Endpoint with inverse head held
13636 → 1446 BC	12190 = 23 × 530	13250	1060	386 BC
13136 → 1406 BC	11730 = 23 × 510	12750	1020	386 BC

The original spans differ by 460 because the heads differ by 500 while the targets differ by 40. Expansion converts that difference to 500, precisely matching the separation of the two held heads:

460\times\frac{25}{23}=500.

The generated 386 BC endpoint therefore coincides in both calculations. No historical event is assigned to that generated date in this report.

5. The LXX anchor 13636 BC and its complementary relation to 12026 BC

5.1 From rounded spines to actual chronological nodes

The established MT inverse head 12026 BC acts as an expansion key for selected actual MT dates in File_52c. The LXX cumulative inverse head 13636 BC supplies a comparable secondary key. Their separation is itself:

13636-12026=1610=23\times70, \qquad1610\times\frac{25}{23}=1750.

The actual LXX regular table supplies the Adam/Creation comparison node 5494 BC and Seth 5264 BC, separated by 230. These correspond to File_18's minimum-frame 5279/5049 BC table after the declared +215 comparative translation. [S2]

Inverse anchor and actual target	Span	Factorization	Expanded span, ×25/23
MT 12026 → 4114 BC	7912	23 × 344	8600 = 25 × 344
LXX 13636 → 5494 BC	8142	23 × 354	8850 = 25 × 354
LXX 13636 → 5264 BC	8372	23 × 364	9100 = 25 × 364

The coefficients form 344 → 354 → 364. The first increment follows because the anchor difference 1610 exceeds the MT–LXX actual Creation difference 1380 by 230; the second follows from the LXX's 230-year Adam-to-Seth interval. Each increment of 230 becomes 250 under 25/23.

The author's calendrical reading associates 354 with the schematic lunar year and 364 with the Enochian year. At the day-as-year comparison scale, the expanded totals are twenty-five such schematic year-length units. The actual chronological spans remain 8850 and 9100 years.

5.2 The square-of-23 connection to actual MT Creation

13636-4114=9522=18\times23^2=2\times69^2.

Both principal whole-year conversions are exact:

9522\times\frac{25}{23}=10350, \qquad 9522\times\frac{70}{69}=9660.

The LXX-derived anchor therefore also organizes a major actual MT node. Its role is complementary to the MT anchor rather than confined to LXX targets.

5.3 Apparent-age cumulative Creation: 920 + 368 → 1000 + 400

The actual LXX cumulative Creation completion endpoint is 14894 BC. Applying the separately declared apparent-age +30 comparison gives 14924 BC. The corresponding 14896 BC member becomes 14926 BC; the two boundaries remain distinct. [S1, S7]

Using the completion endpoint:

14924-13636=1288=23\times56 \xrightarrow{25/23}1400.

The actual MT cumulative Creation endpoint 14004 BC divides that span:

14924-14004=920=460+460=23\times40;

14004-13636=368=23\times16.

Thus:

920+368=1288 \xrightarrow{25/23} 1000+400=1400.

The other apparent-age boundary gives 14926 − 13636 = 1290. The 1288-to-1400 conversion and the 1290 comparison use their respective endpoints explicitly.

6. The 130/70 weave, 170, and the seven-year AD correspondence

6.1 The LXX heads combine established 130, 430, 460, and 490 registers

Comparison	Exact span	Role in the discussion
13136 → 6 BC	13130 = 101 × 130	Cainan / 130 and the curse register
13136 → 536 BC	12600 = 35 × 360 = 70 × 180	Half of 70 schematic 360-year “years of years”
10936 → 536 BC	10400 = 130 × 80	Cumulative LXX inverse and the 130 register
13136 → 1866 BC	11270 = 23 × 490	The explicitly selected −215 Covenant-of-Pieces target: 2081 − 215
13136 → MT regular Shem 2556 BC	10580 = 23 × 460 = 20 × 529	Repeats 12026 → Exodus 1446 BC
MT cumulative Shem 5436 → 606/536 BC	4830 / 4900 = 69 × 70 / 70 × 70	The author's 606–536 BC Babylonian comparison

The Shem repetition is especially direct:

13136-2556=12026-1446=10580 \xrightarrow{25/23}11500,

with a gain of 920 in each case. File_29 controls the interpretation of the overlapping 13 and 7/70 families as atonement and reconciliation. [S5]

6.2 The 170 expansion

13136-1406=11730=69\times170.

Holding 1406 BC, expansion by 70/69 gives 11900 = 70 × 170, moving the earlier head back by 170 to 13306 BC. From this generated head:

13306-6=13300=70\times190;

13306-4106=9200=23\times400 \xrightarrow{25/23}10000;

13306-5486=7820=46\times170 \xrightarrow{25/23}8500=50\times170.

Each last conversion applies to its stated new interval. These are separate comparisons from the generated head. Section 7.7 connects this 170 × 46 interval with both accepted regular SP inverse heads and the original SP 1700-year segment.

6.3 The older Egyptian Key and the AD 30/37/65 sequence

The two-stage LXX regular head supplies a civil interval:

10436\text{ BC}\rightarrow\text{AD }30 =10436+30-1=10465=7\times1495=35\times299.

Holding 10436 BC:

Operation	Expanded interval	Gain	Generated endpoint
Older Egyptian comparison, ×1496/1495	10472	7	AD 37
Enochian Key, ×300/299	10500	35	AD 65

The 1496/1495 ratio is the older Egyptian Key recalled in the discussion. It remains distinct from File_12 §5A's 1461.5/1460.5 = 2923/2921 companion and the ordinary ideal Sothic 1461/1460 ratio. This report uses it as the expressly selected legacy arithmetic operator. [S6, S8]

The generated dates align with the two boundaries of the actual MT cumulative Flood envelope:

Flood boundary held	After 4830 years	After 4865 years	After 4900 years
4836 BC	6 BC	AD 30	AD 65
4829 BC	AD 2	AD 37	AD 72

Each row has two equal 35-year steps, and the lower row is translated seven years later. The 4865 midpoint is the tenfold counterpart of 486.5 within the author's 483/486.5/490 Daniel 9 comparison. Also:

1406\text{ BC}\rightarrow\text{AD }65=1470=3\times490.

This AD construction begins at 10436 BC, not at the three-stage head 13136 BC. All BC-to-AD entries here use civil counting.

7. The accepted SP solution: measure the final segment from the Fall

7.1 Why this resolves the SP difficulty

The native rounded SP Creation coordinates end in 1: 4411 BC regular and 13401 BC cumulative. Directly combining these with the selected 6-ending Flood coordinates produces 1305 and 8685. Their raw reversals, 5031 and 5868, require another rounding operation. Other selections across the five-year blocks produce further alternatives.

The final solution adopts one consistent interpretation of the SP's Creation-to-Fall distinction:

SP construction	Lower rounded Creation coordinate	Five years forward	Accepted Fall coordinate
Regular	4411 BC	4411 − 5	4406 BC
Cumulative	13401 BC	13401 − 5	13396 BC

Both executions now retain the lower Flood member and use ten-year multiples throughout. There is no need to round a reversed result or alternate between upper and lower Flood members.

The author's rationale is the SP/BJ emphasis on 1300 years from the Fall to the Flood, understood against the 7 + 1300 = 1307 Creation/Fall structure. In the project's interpretation, BJ is a derivative witness to the SP pattern, not the independent origin of the 1300 structure. The present five-year treatment is its Rounded Scaffold application. File_20 supplies the underlying SP/BJ comparison; the application to these inversions is the author's accepted decision of September 28. [S9]

The source Creation blocks remain 4416/4411 and 13406/13401 BC. The Fall coordinates are separately declared derived nodes. On the author's final instruction, this report adopts the resulting SP construction as the solution and retires the earlier alternatives from the main presentation.

7.2 Regular SP: 1300, 1700, and 1400

Read from the accepted Fall coordinate toward the Christ anchor:

4406\text{ BC}\xrightarrow{1300}3106\text{ BC} \xrightarrow{1700}1406\text{ BC} \xrightarrow{1400}6\text{ BC}.

The three independently reversed segments, processed from the held later anchor, are:

Original leg, BC	Span	Reversed span
6 → 1406	1400	4100
1406 → 3106	1700	7100
3106 → 4406	1300	3100

Two-stage reconstruction:

1406+7100=8506; \qquad8506+3100=\boxed{11606\text{ BC}}.

Three-stage reconstruction:

6+4100=4106; \qquad4106+7100=11206; \qquad11206+3100=\boxed{14306\text{ BC}}.

The reversed three-segment total is 14300, and the final coordinate is 14306 BC. The earlier 12906 BC calculation was a summation error and is superseded. The true 12900 relation is 14306 − 1406 = 12900.

7.3 The 7200 displacement and its MT counterpart

The two-stage SP head lies exactly 7200 years before its own Fall coordinate:

11606-4406=\boxed{7200}.

This is the combined gain of the two reversals:

(7100-1700)+(3100-1300) =5400+1800=\boxed{7200}.

The same value is familiar from the MT whole-span Creation–Conquest inverse:

4106-1406=2700, \qquad I(2700)=7200.

Thus 7200 appears as the SP's total two-stage displacement and as the reversed MT Creation–Conquest interval. These are different operations with the same exact resulting span.

Audit correction: The requested phrase “11606 BC is 7200 to 4106 BC” combines the correct SP inverse head with the wrong endpoint. The exact relations are 11606 − 4406 = 7200 and 11606 − 4106 = 7500. The report retains the intended 7200 comparison without reproducing the subtraction error.

7.4 The 9900/9890 recurrence

Adding the third-stage 2700 displacement completes:

7200+2700=9900.

Therefore:

14306-4406=9900, \qquad14306-4416=9890=23\times430.

The accepted SP construction reproduces the MT pair:

Comparison	SP regular inverse construction	MT cumulative-to-regular comparison
9900	14306 → accepted Fall 4406 BC	14006 → rounded Creation 4106 BC
9890 = 23 × 430	14306 → upper rounded Creation 4416 BC	14006 → actual Year-6 / Adam-state 4116 BC

All three SP coordinates are exactly 300 years earlier than their corresponding MT coordinates:

14306-14006=4406-4106=4416-4116=300.

This is a precise translation of the paired intervals. The SP head is generated by the reversed regular spine; the MT head is ordinary cumulative Creation. The agreement therefore crosses the regular, cumulative, and inverse constructions while preserving their identities.

The MT 4116 BC member is the actual Year-6 / Adam comparison state controlled by File_22. It is distinct from rounded 4106 BC and the actual Creation completion endpoint 4114 BC. The same actual 9890 bridge is also expressed as 14004 − 4114 = 9890. [S4, S10]

The author's “fractal effect” describes this recurrence of the same interval structure in different constructions. Here its exact content is the 300-year translation preserving 9900 and 9890, together with the 7200 + 2700 decomposition. The correct factorization is 9890 = 23 × 430; 23 × 490 = 11270 belongs to the separate LXX Covenant comparison in §6.1.

7.5 Cumulative SP: 1330, 2736 BC, and the fixed 8680 segment

The accepted cumulative Fall coordinate produces:

13396-4716=8680, \qquad4716-1406=3310.

Their reversals are:

I(3310)=1330, \qquad I(8680)=8680.

The two-stage reconstruction is consequently:

1406+1330=\boxed{2736\text{ BC}},

2736+8680=\boxed{11416\text{ BC}}.

The intermediate node immediately supplies the stated Exodus relation:

2736-1446=1290=3\times430.

The three-stage reconstruction is:

6+4100=4106; \qquad4106+1330=5436; \qquad5436+8680=\boxed{14116\text{ BC}}.

Again, 14116 − 11416 = 2700. The intermediate 5436 BC also shares the ordinary rounded MT cumulative Shem coordinate, while retaining its role here as a generated SP inverse node.

The self-reversing property now appears in the SP's Fall–Flood segment. The corresponding fixed segments in the MT and LXX occur in their cumulative Flood–Conquest legs:

Cumulative construction	Selected self-reversing segment	Position
MT	3430	Flood–Conquest
LXX	4340	Flood–Conquest
Accepted SP	8680 = 2 × 4340	Fall–Flood

The structural analogy is the preservation of a major segment under reversal; its position in the SP spine is explicitly different.

7.6 The 7000 and 10000 correspondences

The accepted cumulative heads give:

11416-4416=\boxed{7000},

14116-4116=\boxed{10000}.

The first reaches the upper rounded SP Creation member. The second reaches the actual MT Year-6 / Adam comparison node. Their 3000-year difference is exactly accounted for by the 2700-year change of inverse head and the 300-year difference between the targets:

10000-7000=2700+300=3000.

These relations belong to the final SP solution. The earlier crossed-boundary 9680 option and its additional 1000 years are no longer needed to obtain the accepted structure.

7.7 LXX Creation links the SP heads: 8820, 6120, and the return of 1700

The ordinary rounded LXX Creation coordinate 5486 BC connects directly with both accepted regular SP inverse heads and with the expanded LXX head 13306 BC from §6.2:

Earlier coordinate and construction	Span to LXX Creation 5486 BC	Factorization
14306 BC, SP regular three-stage head	8820	180 × 49
13306 BC, LXX regular head after the stated 70/69 expansion	7820	170 × 46 = 17 × 460
11606 BC, SP regular two-stage head	6120	17 × 360

The 170 × 46 relation therefore has a direct companion in 17 × 360, sharing the same LXX Creation endpoint. Their difference is:

7820-6120=17\times(460-360)=17\times100=\boxed{1700}.

Equivalently, the two generated heads are separated by:

13306-11606=\boxed{1700}=3106-1406.

This recovers the original SP Flood–Conquest interval, which enters the regular SP reversed spine as 1700 → 7100. The original 1700 thus reappears as the distance between the expanded LXX head and the SP two-stage head. The author identifies this as a possible mathematical reciprocal relationship between the constructions: a structural return of the source interval, with a full inverse mapping between the chronologies still to be established.

The larger arrangement also retains the common 2700-year separation of the SP heads:

14306-13306=1000,\qquad13306-11606=1700;

8820=1000+7820=2700+6120, \qquad7820=1700+6120.

The 8820 = 180 × 49 relation, the 6120 = 17 × 360 relation, and the 7820 = 170 × 46 relation therefore belong to one connected comparison around LXX Creation 5486 BC.

8. Comparative assessment

The MT remains primary because its regular and cumulative Flood spines coincide at both 12026 and 14726 BC, with the wider anchor interpretation already developed in File_52c. The present report preserves that priority.

The LXX is a solid secondary example because the same declared operation produces four reproducible heads and several coordinated relations: the 500-year regular/cumulative difference, the 910-year Exodus–Babylon translation, the shared 12600 interval, the paired Key-of-23 expansions to 386 BC, and the 13636 BC anchor's connections with actual LXX and MT dates. Its case rests on the organized relations among those results, not solely on a list of divisible spans.

The accepted SP solution explains how to handle the SP's five-year Creation boundary within this study. A consistent forward-five-year Fall placement yields simple regular segments 1300/1700/1400 and cumulative segments 8680/3310/1400. Their reversals recover 2736, 11416, 11606, 14116, and 14306 BC, and connect them with 1290, 7200, 9900/9890, 7000, and 10000. The regular SP heads also stand 8820 = 180 × 49 and 6120 = 17 × 360 from LXX Creation 5486 BC, while the expanded LXX head 13306 BC recovers the SP's original 1700-year interval to 11606 BC.

The strongest common feature is the recurrence of a small collection of organized intervals under explicitly stated transformations. “Accepted SP solution” is the final status of this construction in the report; the earlier provisional status has been superseded by the author's instruction. The whole study continues to distinguish arithmetic identities from their historical and theological interpretation.

9. Corrections and superseded approaches

This ledger preserves the resolved arithmetic and source decisions so that later summaries do not reintroduce discarded results.

Earlier wording or route	Final handling
Native rounded LXX Flood called 3226 BC	Use 3236 BC. In Report IV, 3226 is the 120-year warning in the Cainan-OFF / SP regular comparison, whose Flood is 3106.
AD 37/65 expansion attributed to 13136 BC	Use the 10436 BC two-stage regular LXX head for the 10465 = 7 × 1495 interval to AD 30.
Egyptian/Sothic ratios conflated	1496/1495, 2923/2921, and 1461/1460 remain separately identified operators.
SP regular Fall labels written 4111 → 4106 BC	Use 4411 → 4406 BC; the intended Fall–Flood span is 4406 − 3106 = 1300.
4100 + 7100 + 3100 called 12900	Correct total 14300, giving 14306 BC.
A 12906 BC SP head giving 11500 to 1406 BC	Superseded by the corrected total. 14306 − 1406 = 12900.
9890 called 23 × 490	9890 = 23 × 430; 11270 = 23 × 490.
11606 → 4106 BC called 7200	11606 → 4406 BC = 7200; 11606 → 4106 BC = 7500.
Cumulative three-stage pair printed 14121/1416	Earlier crossed-boundary pair was 14121/14116. Final accepted lower-member head is 14116 BC.
Direct SP off-grid reversals normalized after inversion	Earlier method remains a calculational alternative, but is superseded in the main report by selecting the Fall coordinate before inversion.
SP upper-Creation regular path giving 9816/12516 BC	Valid for its explicitly different 1310 segment; superseded here by the accepted 1300 Fall segment and 11606/14306 BC.
Cumulative crossed-boundary options 8680/9680	Retained only as discovery history. Final source leg is 13396 − 4716 = 8680.

For reference, the preceding normalization routes gave regular 13536/16236 BC, lower cumulative 8606/11306 BC, and upper cumulative 12411/15111 BC. The crossed-boundary approach gave 11421/11416 or 12421/12416 BC, followed by the corresponding +2700 heads. These are not additional final SP solutions in the present report.

10. Source register and verification scope

Reference	Source and use
S1	Rounded_MT-SP-LXX_Creation-Flood_Harmonic_Engine_Report_IV_20260904(1) (2).md, §§7–9 and Appendices A.5–A.7: rounded regular/cumulative source register, actual cumulative envelopes, SP Joshua terminal, and retained LXX lifespan inputs.
S2	File_18.Chronological_Data_Tables(20260919-141048).md, especially §§4.1 and 4A: actual LXX table, Adam/Seth 230-year interval, current Lamech reconstruction, and chronological state distinctions.
S3	File_51a.Rounded_Scaffold_Mod5_Architecture.md, whole-span anchor clarification and §17.4: Rounded Scaffold, 1/6-ending anchor families, and transmitted SP 4416/4411 block.
S4	File_52c.Rounded_Whole_Span_Inverse_Detailed_Study_Draft (2)(1).md, September 27 version, §§3.3–3.5 and 3.14: MT two-/three-stage spines, anchor interpretation, and actual-versus-rounded Creation bridges.
S5	File_29.Reconciliation_Fractal(6).md: theological interpretation of the 7/13, 70/130, 91/910, curse, and atonement registers.
S6	File_12.Calendrical_Physics(20260907-192303).md, §5A: current Sothic-adjacent 2923/2921 comparison and distinction from the ordinary 1461/1460 relation.
S7	Biblical Cumulative Lifespans Chronologies: actual LXX 14901–14894 Creation envelope and 14896 member; cumulative source cross-check. Accessed 2026-09-28.
S8	Reinsertion of 2nd Cainan: Restructuring the MT Biblical Chronology: preserved older Key-of-23 explanation of 1495 → 1496 Egyptian years. Used only for the legacy operator in §6.3. Accessed 2026-09-28.
S9	File_20.Jubilees_Fourth_Witness(2).md, §§3–3B: SP/BJ Creation–Flood 1307 and Fall–Flood 1300 comparison. The application of a five-year rounded Fall adjustment is the present author's decision.
S10	File_22.Cumulative_MT_Harmonics(20260906-202427).md, §§5.1 and 7.1: actual 14004/4114 endpoint bridge and 14006/4116 Year-6 / Adam bridge, both 9890.
Author discussion	September 28, 2026: LXX comparisons, cumulative apparent-age connections, SP alternative review, final acceptance of the simplified SP construction, and the corrections explicitly retained above.

The original report passed 155 grouped exact-arithmetic checks, including the cumulative source totals, declared source subtractions, placeholder-preserving reversals, intermediate and final spine coordinates, exact-rational expansions, civil BC-to-AD dates, and the correction ledger. The September 28 addition in §7.7 passed 9 further grouped checks of the LXX–SP spans and their partitions. The unchanged original calculations were retained without rerunning them. All 18 Markdown tables have consistent column counts, the display-math delimiters are balanced, and the section headings are unique. This is a bounded arithmetic and editorial verification of this report, not a new repository-wide pressure test or statistical analysis. Existing source files and the File_52c count manifest are not amended by this standalone report.

Reversed Creation–Flood Spines: LXX Comparison and the Accepted SP Solution

Reversed Creation–Flood Spines: LXX Comparison and the Accepted SP Solution

1. Principal result

2. Source figures and calculation conventions

2.1 The rounded source register

2.2 Placeholder-preserving reversal

3. The MT primary example and the LXX parallel

3.1 Two-stage reconstruction from 1406 BC

3.2 Three-stage reconstruction from 6 BC

3.3 Why the LXX difference is 500

4. LXX alignment with Egypt, Babylon, and the MT

4.1 The self-reversing Flood spans and the 910 translation

4.2 The 9030 and 12600 relations

4.3 The 500 gap reconciles the 40-year Exodus–Conquest interval

5. The LXX anchor 13636 BC and its complementary relation to 12026 BC

5.1 From rounded spines to actual chronological nodes

5.2 The square-of-23 connection to actual MT Creation

5.3 Apparent-age cumulative Creation: 920 + 368 → 1000 + 400

6. The 130/70 weave, 170, and the seven-year AD correspondence

6.1 The LXX heads combine established 130, 430, 460, and 490 registers

6.2 The 170 expansion

6.3 The older Egyptian Key and the AD 30/37/65 sequence

7. The accepted SP solution: measure the final segment from the Fall

7.1 Why this resolves the SP difficulty

7.2 Regular SP: 1300, 1700, and 1400

7.3 The 7200 displacement and its MT counterpart

7.4 The 9900/9890 recurrence

7.5 Cumulative SP: 1330, 2736 BC, and the fixed 8680 segment

7.6 The 7000 and 10000 correspondences

7.7 LXX Creation links the SP heads: 8820, 6120, and the return of 1700

8. Comparative assessment

9. Corrections and superseded approaches

10. Source register and verification scope

Linked sources and evidence