Technical Appendix: The Samaritan Flood Chronology

This appendix supports The Samaritan Flood Chronology: From Creation to Noah’s Rest. All dates are BC. These are Regular, non-rounded coordinates in the 490d reconstruction. File 18, §§3.1–3.2.1 controls the SP figures and counting conventions; File 11, §8.1 controls the SP/MT 1656 comparison.

A1. Native SP and the full-430 comparison

The native SP frame has 215 years in Egypt and places Abram’s call 215 years before the entry. The comparison frame adds 215 to the affected early coordinates, making the Egypt interval 430. Terah +60 and the insertion of a second Cainan are off in both SP columns. Exodus and Conquest remain fixed.

Event or selected position Native SP: 215 in Egypt Full-430 comparison
Symbolic Creation-week wrapper 4206–4199 4421–4414
Creation endpoint / preferred genealogical head 4199 4414
Lamech’s G2 birth 3545 3760
Noah’s G2 primary birth 3493 3708
Shem’s G2 primary birth: Noah/Flood comparison 2993 3208
Shem’s G1 primary birth: Arphaxad-bound 2991 3206
G2 Flood start 2893 3108
G2 Flood close 2892 3107
Fixed Arphaxad birth 2891 3106
Noah’s G2 primary death 2543 2758
Abram’s birth 1951 2166
Abram’s call to Canaan 1876 2091
Entry into Egypt 1661 1876
Exodus: fixed 1446 1446
Conquest / Moses’ death: fixed 1406 1406

The symbolic Creation week is a separate interpretive wrapper. It does not add seven elapsed years inside the stated 4414→2758 comparison. The preferred current table uses 4414 as both its Creation endpoint and genealogical chain head; the superseded 4415/4414 repair is not an additional adjustment to apply.

Source: File 18 §3, §§3.2–3.4 and Appendix A. Return to the explanation.

A2. Creation to Flood: the SP ledger

This table uses the main article’s full-430, G2 comparison frame. Death and departure dates are stated according to the row’s event. Enoch’s endpoint is his being taken, rather than an asserted death. The three Flood-capped lifespans use inclusive counts.

Patriarch Birth Death / departure Lifespan or count Begetting figure / selected binding
Adam 4414 3484 930 130 to Seth
Seth 4284 3372 912 105 to Enosh
Enosh 4179 3274 905 90 to Kenan
Kenan 4089 3179 910 70 to Mahalalel
Mahalalel 4019 3124 895 65 to Jared
Jared 3954 3108 847 inclusive 62 to Enoch
Enoch 3892 3527 365 65 to Methuselah
Methuselah 3827 3108 720 inclusive 67 to Lamech
Lamech 3760 3108 653 inclusive 53rd counted year to primary Noah
Noah: G2 primary 3708 2758 950 500 to G2 primary Shem

The SP Genesis 5 begetting figures from Adam through Lamech total 707:

130 + 105 + 90 + 70 + 65 + 62 + 65 + 67 + 53 = 707.

Adding Noah’s 600 gives the familiar 1307. In the preferred primary path, however, Lamech’s 53rd counted year is represented by 52 completed intervals: 3760 − 3708 = 52. The selected Creation-to-Noah distance is therefore 706, and Creation-to-Flood is 706 + 600 = 1306 completed intervals, or 1307 inclusively.

The endpoint difference and the recorded count serve different functions. The reconstruction applies the one-year distinction once; it does not subtract one from every begetting age. These annual positions also leave otherwise unspecified birthday phases unspecified.

Source: File 18 §3.1. The public Regular table supplies the wider genealogical context.

A3. The inclusive lifespans at the Flood boundary

Patriarch Selected death Inclusive calculation Equivalent capacity to Flood close
Jared 3108 3954 − 3108 + 1 = 847 3954 − 3107 = 847
Methuselah 3108 3827 − 3108 + 1 = 720 3827 − 3107 = 720
Lamech 3108 3760 − 3108 + 1 = 653 3760 − 3107 = 653

Their selected deaths remain at Flood start, 3108 BC. The right-hand column is an equivalent capacity calculation to the closing boundary; it does not relocate those deaths to 3107. Nor does the inclusive count establish a cause of death.

The same distinction gives 4414 − 3108 + 1 = 1307 counted endpoint years for Creation to Flood start. It is a span capacity, not Adam’s lifespan. Noah is outside this pre-Noah Flood-cap calculation, and ordinary lifespan subtraction remains in use for the uncapped rows.

Source: File 18 §3.1.3. Return to the main discussion of inclusive counting.

A4. Noah and Shem: matching positions and lifespans

The SP’s local companion position is one year later than its primary position. It applies here to Noah and Shem; it does not create a blanket shift through the genealogy. Each birth must be paired with its matching death.

Named position Birth Death Lifespan Relation to the fixed G2 Flood / Arphaxad dates
Noah, G2 primary 3708 2758 950 600 to Flood start 3108
Noah, G2 companion 3707 2757 950 599 to start 3108; 600 to close 3107
Shem, G2 primary: Noah/Flood-bound 3208 2608 600 100 to Flood start; 102 to Arphaxad
Shem, G2 companion: Noah/Flood comparison 3207 2607 600 99 to Flood start, the ordinal 100th-year comparison
Shem, G1 primary: Arphaxad-bound 3206 2606 600 98 to G2 Flood start; 100 to Arphaxad 3106
Shem, G1 companion: Noah-bound comparison 3205 2605 600 502 after companion Noah 3707; not the full-100 Arphaxad row

The primary Noah death carries the source’s inclusive/harmonic qualification; the companion death carries its ordinary-companion qualification. Two matched post-Flood comparisons give 350:

  • Flood start 3108 → primary death 2758 = 350.
  • Flood close 3107 → companion death 2757 = 350.

Crossing the pairs would give 3108 − 2757 = 351. Flood close is an event boundary, not itself a Noah/Shem companion position.

Three permitted paths from Lamech reach the same G2 Flood start:

Path Lamech → Noah Noah → Shem Shem → Flood start Completed total
Primary Noah / primary Shem 3760→3708: 52 3708→3208: 500 3208→3108: 100 652
Companion Noah / primary Shem 3760→3707: 53 3707→3208: 499 3208→3108: 100 652
Companion Noah / companion Shem 3760→3707: 53 3707→3207: 500 3207→3108: 99 652

In each path the Flood falls in Lamech’s 653rd counted year. Genesis 7:6 gives the cardinal expression for Noah’s age; Genesis 7:11 gives the ordinal 600th-year expression. Coordinating them through this SP field is the reconstruction’s method, rather than six independently attested manuscript chronologies.

The post-Flood table uses the Arphaxad-bound Shem row because it yields the 100 + 500 = 600 of Genesis 11:10–11. The G2 Noah-bound Shem row has a different role and must retain its label. At the held sojourn, Terah, and Cainan settings, Arphaxad onward does not move with the Noah/Shem Gear choice.

Source: File 18 §§3.1 and 3.2.1. Return to Noah’s timeline.

A5. Flood boundaries in the three traditions

The ordinary Gear choices move the Flood by two-year steps. Each Flood has its own one-year start-to-close span. This is separate from the SP’s one-year Noah/Shem companion positions.

Tradition G3 start → close G2 start → close G1 start → close Fixed Arphaxad birth
MT 2460→2459 2458→2457 2456→2455 2456
SP 3110→3109 3108→3107 3106→3105 3106
LXX 3240→3239 3238→3237 3236→3235 3236

All three rows use the full-430 comparison frame, with Terah +60 off. The MT and SP omit the second Cainan; the LXX retains its native second Cainan. The LXX also follows the current selected Lamech reconstruction in File 18 §4A. Subtract 215 from the early coordinates for their corresponding minimum/native table frames.

For G2 starts, SP − MT = 650, LXX − MT = 780, and LXX − SP = 130. These are Regular intervals. They should not be exchanged with cumulative offsets.

The G1 Flood start shares a coordinate with fixed Arphaxad in each row; the event classes remain distinct. That alternative alignment does not replace the main article’s G2 sequence of start, close, and Arphaxad. Every Gear’s close follows from its own event-year.

Source: File 18 §3.1.4. Return to the brief comparison.

A6. The 1656 comparison, checked by endpoints

Calculation Result Meaning
MT 4114 − 2458 1656 Creation → Flood start
SP 4414 − 2758 1656 Creation → primary Noah death
SP 4414 − 3108 1306 Creation → Flood start, completed intervals
SP 3108 − 2758 350 Flood start → primary Noah death
SP 1306 + 350 1656 The SP span partition
Native SP 4199 − 2543 1656 Same span after both coordinates move by 215
4414 − 4114; 2758 − 2458 300; 300 The equal spans occupy different BC positions

The main figure aligns starts to compare lengths. It is not a common absolute-date axis. The comparison makes no claim that SP Noah’s death is the MT Flood event.

One broader numerical property is 1656 = 72 × 23. The Key-of-23 expansion therefore gives 1656 × 25/23 = 1800 = 5 × 360, an increase of 144. File 02, §2.3 treats that as a separate harmonic operation. It does not alter the unexpanded dates in this article or prove the rest interpretation.

Sources: File 11 §8.1; File 02 §§2.1 and 2.3. Return to the equal-span figure.

A7. Lamech’s midpoint ends at Arphaxad

490d · Regular chronology · Figure 3

Lamech at the midpoint: 654 + 654

Samaritan Pentateuch · Gear 2 · full-430 comparison frame

Creation to Arphaxad

4414 BCCreation endpoint
3760 BCLamech’s birth
3106 BCArphaxad’s birth
654 years654 years
654 + 654 = 1308 years

The two equal segments show equal 654-year intervals.

The endpoint is Arphaxad’s birth, 3106 BC. Flood start is 3108 BC.
Figure 3. Lamech’s Gear-2 birth at 3760 BC bisects the 1308 years from the SP Creation endpoint to the fixed birth of Arphaxad. Each half is 654 years.

Source controls: File 18 §§3.1–3.2.1.

Read the diagram’s dates and calculation

4414 − 3760 = 654, and 3760 − 3106 = 654. This is a Gear-2 midpoint in the full-430 SP comparison frame, without Terah’s +60. Arphaxad remains fixed while Noah/Shem/Flood gear states are distinguished elsewhere. Replacing Arphaxad with the 3108 BC Flood start would make the second span 652 years and would remove this midpoint.

Full-size image: PNG · WebP

View the image version or download it full size
SP Gear-2 midpoint diagram: Creation endpoint at 4414 BC to Lamech’s birth at 3760 BC is 654 years; Lamech’s birth to Arphaxad’s fixed birth at 3106 BC is another 654 years. The total is 1308 years; the ending point is Arphaxad, not Flood start at 3108 BC.
Figure 3. Lamech’s Gear-2 birth at 3760 BC bisects the 1308 years from the SP Creation endpoint to the fixed birth of Arphaxad. Each half is 654 years. Download the full-size PNG.

The G2 calculation is:

4414 − 3760 = 654; 3760 − 3106 = 654; 654 + 654 = 1308.

The native frame gives the same result: 4199 → 3545 → 2891 = 654 + 654. These are ordinary differences between the named endpoints. Lamech’s inclusive 653-year life ends earlier, at Flood start in 3108, as A3 explains.

File 18 separately preserves a G1 convergence at 3106 BC: Lamech’s G1 death, the G1 Flood start, and fixed Arphaxad’s birth share that year-label. That is a different observation from the G2 midpoint. It must not be used to rename the midpoint as Creation-to-Flood or to give other patriarchs freely interchangeable endpoints.

Source: File 18 §3.1.4. Return to the main article.

A8. Source guide and interpretive limits

Question Controlling source
Preferred SP Creation head; native and full-430 frames File 18 §3 and Appendix A
Pre-Flood figures and ordinal/completed paths File 18 §3.1
Jared, Methuselah, and Lamech’s inclusive counts File 18 §3.1.3
Three-tradition Flood boundaries; fixed Arphaxad; Lamech midpoint File 18 §3.1.4
Noah/Shem primary and companion pairings File 18 §3.2.1
SP Terah 145/205 and explicitly opened +60 alternatives File 18 §3.2.2
SP Creation-to-Noah-death 1656 and the rest interpretation File 11 §8.1
The 1656 comparison’s endpoint rules and Key-of-23 expansion File 02 §§2.1 and 2.3

The sources distinguish the transmitted figures, the selected chronological reconstruction, exact arithmetic within that reconstruction, and theological interpretation. These layers support one another without being interchangeable. NET supplies the modern opening quotation; it is not presented as a translation of the specifically Samaritan numerical readings.

Read the detailed study · Return to the main article · Regular chronology tables · Canonical source catalog.