Noah and Shem: Full Mirror Tables and Source Notes

These tables accompany Noah and Shem: The 6000- and 6500-Year Mirror Patterns. They reproduce the selected comparison set and distinguish its arithmetic from ordinary narrative dates, seasonal Mirror pairs, and cumulative lifespan constructions.

1. Ages and chronological alignment

Download this table (CSV) (data ZIP)

The ordinary MT Gear 2 sequence, in the full-430 frame with Terah +60 OFF and no restored second Cainan, is:

Download this table (CSV) (data ZIP)

Gear 1 moves the MT Noah birth, Flood start, and Noah death two years forward to 3056, 2456, and 2106 BC, while retaining the Arphaxad-bound Shem biography. The ideal partition is 500 + 100 + 500 = 1100 from Noah’s birth to Shem’s death. In the normal Gear 2 sequence the corresponding span is 1102 = 502 + 98 + 2 + 500.

The SP has additional qualified Noah/Shem person-station bindings. Its Gear 1 primary birth/death rows are 3491–2541 BC for Noah and 2991–2391 BC for Shem in the native frame. Adding 215 gives the selected full-430 comparison rows 3706–2756 and 3206–2606 BC. Their lower one-year companions are available in the source but are not included in this 30-entry dataset. A Flood start→close is a one-year event span, not a Noah/Shem companion pair.

Controls: File 02 §6.2; File 18 §3.1.4 and §3.2.1; File 11 for the Gear framework. These permissions do not collapse the traditions’ textual or chronological distinctions.

2. The complete selected 30-entry dataset

Common settings: Gear 1; full-430 comparison frame; MT/SP second Cainan OFF; LXX native second Cainan ON; LXX main-chain Lamech 753; SP primary Noah/Shem stations only. ON selects Terah +60; OFF does not. The AD column uses ordinary astronomical sign reflection, not the symmetric Rounded display.

MT

Download this table (CSV) (data ZIP)

SP

Download this table (CSV) (data ZIP)

LXX

Download this table (CSV) (data ZIP)

Download the complete 30-entry dataset (data ZIP).

At either matched Terah setting, the corresponding within-tradition biography spans are Noah 950, Shem 600, and Noah birth→Shem death 1100. Switching Terah ON adds 60 to each BC label and subtracts 60 from its signed negative astronomical coordinate.

When the 10 negative coordinates of one tradition are placed in chronological order, their nine adjacent gaps are:

60, 440, 60, 40, 60, 290, 60, 90, 60.

This gap sequence follows from combining the two 60-year variant settings with the selected 500, 100, 350, and 150-year event intervals. It is the same in the three translated date sets. The four 600-year subspans are the following index intervals; indices number the 10 entries in the order shown above:

Download this table (CSV) (data ZIP)

The four spans are overlapping structural comparisons. They are not four independent biographies.

3. Mirror conventions: four distinctions

Download this table (CSV) (data ZIP)

For a civil BC year label B, the astronomical coordinate is 1 − B. The reflected AD target is B − 1, so the exact civil self-span is 2B − 2. The actual elapsed span between any specified civil BC and AD labels remains BC + AD − 1.

For the seasonal example, t = Tishri and n = Nisan. The two component checks are:

1407 + 1406 − 1 = 2812; 1406 + 1407 − 1 = 2812.

The AD pair is 1406t/1407n, preserving its half-year width. Writing 1406n/1407t instead makes a one-and-a-half-year pair and fails the exact phase calculation. The two alternative Terah coordinates in this study are 60 years apart; they do not acquire seasonal suffixes merely because they are displayed together.

Controls: File 00 §3.9, File 09 Appendix A, and File 51b §1.1–1.1a. The latter preserves the September 25 distinction between older civil-target equations and symmetric Rounded labels. No global one-year shift is applied to actual chronology, seasonal pairs, or this original astronomical dataset.

4. All leading matched endpoints

There are 30 × 30 = 900 ordered BC-to-reflected-AD comparisons. A row in the following tables names both source events and their Terah settings. The second event is the source of the AD coordinate; it is not a forecast of that event’s recurrence.

6000 years: eight reciprocal pairs

Download this table (CSV) (data ZIP)

Each row checks as BC + AD − 1 = 6000. Reversing the two underlying source entries supplies the reciprocal comparison, for 16 ordered matches. Download all 16 ordered matches (data ZIP).

6500 years: eight reciprocal pairs

Download this table (CSV) (data ZIP)

Each row checks as BC + AD − 1 = 6500. Reversing the two underlying source entries supplies the reciprocal comparison, for 16 ordered matches. Download all 16 ordered matches (data ZIP).

5850 years: eight reciprocal pairs

Download this table (CSV) (data ZIP)

Each row checks as BC + AD − 1 = 5850. Reversing the two underlying source entries supplies the reciprocal comparison, for 16 ordered matches. Download all 16 ordered matches (data ZIP).

5720 years: eight reciprocal pairs

Download this table (CSV) (data ZIP)

Each row checks as BC + AD − 1 = 5720. Reversing the two underlying source entries supplies the reciprocal comparison, for 16 ordered matches. Download all 16 ordered matches (data ZIP).

Download all 900 comparisons (data ZIP) · Download all span frequencies (data ZIP).

The original scan highlighted spans from 4800 through 7500 in steps of 10. The four leading counts above reproduce within that window. The complete exports also permit independent checking outside it. Repeated and reciprocal constructions are dependent; frequencies are descriptive, not a statistical test.

A different Noah/Shem binding requires a separately recomputed dataset. In a coherent Noah-bound Gear 2 translation in which all selected BC stations move two years earlier, every cross-Mirror span rises by four years. An Arphaxad-bound Shem comparison behaves differently because Shem’s binding is held. Neither sensitivity calculation corrects or invalidates the admitted Gear 1 dataset; neither inherits its exact counts without recalculation.

5. The complete 950-year ladder

Download this table (CSV) (data ZIP)

All rows use Gear 1 and SP primary stations. Apply BC + AD − 1 to every row. Factorizations: 7600 = 8 × 950; 6650 = 7 × 950; 5700 = 6 × 950. Reciprocal BC/AD placements supply the corresponding reverse comparisons.

The eight-person Ark correspondence is interpretation based on 1 Peter 3:20, not a new lifespan statement. 950 = 50 × 19 is also exact arithmetic, but it does not establish 50 historically observed Metonic cycles in Noah’s biography. That further calendar claim is not needed for the ladder.

Noah’s death and Abraham’s birth

Abraham’s regular MT birth is 2166 BC in the full-430 frame. MT Noah’s Gear 1, Terah +60 ON death is also 2166 BC. This coincidence is conditional: +60 OFF gives Noah’s Gear 1 death at 2106 BC, and Gear 2 with +60 ON gives 2168 BC. The ordinary Noah death date cannot be silently replaced by the coincident branch. Terah +60 shifts the upstream Noah date; it does not shift Abraham’s birth.

6. Two anchored Key-of-23 expansions

Download this table (CSV) (data ZIP)

Settings: full-430, Gear 1, Terah +60 OFF, MT/SP second Cainan OFF, SP primary stations. The operator is 25/23:

1150 ÷ 23 = 50; 50 × 25 = 1250; gain = 100.

The first endpoint check is 3706 − 1250 = 2456; the second is 1956 + 1250 = 3206. The fixed anchor is named before the result is computed. Source control: File 46 §§1–4; date inputs File 18. The new length is a comparison measure, not a revised textual lifespan.

7. The source-active cumulative 9500 comparison

The MT cumulative chronology stacks lifespans; its Noah-birth week is 6386–6379n BC. File 30 §11.3 selects three internal members and corresponding AD targets:

Download this table (CSV) (data ZIP)

These are named local Mirror displays, not new unrestricted Protocol 1 targets. They have no restored cumulative second Cainan. 9500 = 10 × 950 retains Noah’s lifespan as the unit. File 18 §6A controls the cumulative central dates and envelopes; File 09 controls their broader architecture.

For comparison, the older integer calculation −6385 → +3115 = 9500 is arithmetically valid in its declared astronomical namespace: it means 6386 BC → AD 3115, not 6385 BC → AD 3115. It selects different endpoints from the current File 30 row. The same total does not make the endpoints interchangeable.

Bounded cumulative span conversions

The original also explored the following exact ratio calculations:

Download this table (CSV) (data ZIP)

The 1100 gain can be compared with the selected Gear 1 Noah-birth→Shem-death span. The 920 gain equals two 460-year units; 1000 = 500 + 500. These are span-conversion comparisons. They do not by themselves specify which endpoint stays fixed or generate a new Flood date.

For example, the original 12650 astronomical span can be written 6386 BC → AD 6265, with 6386 + 6265 − 1 = 12650. The SP source label 6266 BC is a derived cumulative upper Noah-birth member, rather than a printed regular date: the SP cumulative Noah biography follows from the MT cumulative lifespan suffix with the 120-year reduction below Noah. This isolated extension is subordinate to File 30’s explicitly developed 9500 comparison.

The later cumulative passages in the original alternate among actual year labels, selected week members, raw signed integers, and decimal display coordinates. Their broader endpoint networks are preserved in the archive rather than presented as one executable chronology. In particular, a cumulative seven-year envelope is not a universal ±5-year tolerance. A raw sum such as 5750 + 4830 = 10580 cannot be labeled an unsuffixed civil BC–AD span without declaring the coordinate or paired-seasonal construction that supplies its endpoints.

8. Source map and illustration index

Download this table (CSV) (data ZIP)

Canonical controls and amendments were freshly retrieved for this edition. The numerical comparisons are qualified by their stated settings; theological interpretations remain distinguishable from their arithmetic.

Download this table (CSV) (data ZIP)

Return to the detailed study.

Read the original study, preserved unchanged in the archive.