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"text": "| Patriarch | Scaffold (Rounded) | Adjustment (Scaffold \u2192 Actual MT) | Actual MT |\n| --- | --- | --- | --- |\n| Jared | 160 | +2 | 162 |\n| Methuselah | 185 | +2 | 187 |\n| Lamech | 180 | +2 | 182 |\n| Eber | 35 | \u22121 | 34 |\n| Reu | 30 | +2 | 32 |\n| Nahor | 30 | \u22121 | 29 |\n\nThe remaining 15 begetting ages are already multiples of 5: Adam (130), Seth (105), Enosh (90), Kenan (70), Mahalalel (65), Enoch (65), Noah (500), Shem (100), Arphaxad (35), Shelah (30), Peleg (30), Serug (30), Terah (70), Abraham (100), Isaac (60).\n"
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"text": "| Patriarch | Beg. (actual) | Beg. (rounded) | Actual BC (no +2) | Rounded BC | A-space | Shift |\n| --- | --- | --- | --- | --- | --- | --- |\n| Adam | 130 | 130 | 4112 | 4106 | \u22124105 | \u22126 |\n| Seth | 105 | 105 | 3982 | 3976 | \u22123975 | \u22126 |\n| Enosh | 90 | 90 | 3877 | 3871 | \u22123870 | \u22126 |\n| Kenan | 70 | 70 | 3787 | 3781 | \u22123780 | \u22126 |\n| Mahalalel | 65 | 65 | 3717 | 3711 | \u22123710 | \u22126 |\n| Jared | 162 | 160 | 3652 | 3646 | \u22123645 | \u22126 |\n| Enoch | 65 | 65 | 3490 | 3486 | \u22123485 | \u22124 |\n| Methuselah | 187 | 185 | 3425 | 3421 | \u22123420 | \u22124 |\n| Lamech | 182 | 180 | 3238 | 3236 | \u22123235 | \u22122 |\n| Noah | 500 | 500 | 3056 | 3056 | \u22123055 | 0 |\n| Shem | 100 | 100 | 2556 | 2556 | \u22122555 | 0 |\n| Arphaxad | 35 | 35 | 2456 | 2456 | \u22122455 | 0 |\n| Shelah | 30 | 30 | 2421 | 2421 | \u22122420 | 0 |\n| Eber | 34 | 35 | 2391 | 2391 | \u22122390 | 0 |\n| Peleg | 30 | 30 | 2357 | 2356 | \u22122355 | \u22121 |\n| Reu | 32 | 30 | 2327 | 2326 | \u22122325 | \u22121 |\n| Serug | 30 | 30 | 2295 | 2296 | \u22122295 | +1 |\n| Nahor | 29 | 30 | 2265 | 2266 | \u22122265 | +1 |\n| Terah | 70 | 70 | 2236 | 2236 | \u22122235 | 0 |\n| Abraham | 100 | 100 | 2166 | 2166 | \u22122165 | 0 |\n| Isaac | 60 | 60 | 2066 | 2066 | \u22122065 | 0 |\n| Jacob | \u2014 | \u2014 | 2006 | 2006 | \u22122005 | 0 |\n| Joseph* | 91 | 90 | 1915 | 1916 | \u22121915 | +1 |"
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"text": "Machine Guard [METHUSELAH BIFURCATION]: Regular chronology: round begetting and remaining independently, then sum (185 + 780 = 965). Cumulative chronology: round total lifespan directly (969 \u2192 970). Both rules are applied uniformly to all patriarchs; Methuselah is the unique case where they diverge. Do not reconcile \u2014 preserve as modal states per domain.\n\nNote: Actual MT dates (columns 1\u20132) include Shem\u2019s +2 as per the Actual MT. Rounded dates (columns 3\u20134) exclude Shem\u2019s +2 as per the Rounded Scaffold convention. Accordingly, the difference between the actual and rounded columns is not reducible to a single uniform offset: it reflects both (1) the propagated Shem +2 and (2) the independent mod-5 rounding adjustments. The +2 component affects the pre-Flood side only; from Arphaxad onward, the comparison is governed only by the Rounded-vs-Actual lifespan/begetting adjustments within the shared post-Flood baseline. This is why Shem\u2019s own rounded and actual row remains 2556 / 1956 in both columns: once Arphaxad is fixed as the post-Flood baseline comparator, the Shem +2 functions as a pre-Flood propagation rule rather than as a new shift applied to Shem\u2019s displayed row itself.\n\n| Patriarch | Act. Birth | Act. Death | Act. Life | Rnd. Birth | Rnd. Death | Rnd. Life | Remaining (act \u2192 rnd) |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| Adam | 4114 | 3184 | 930 | 4106 | 3176 | 930 | 800 \u2192 800 |\n| Seth | 3984 | 3072 | 912 | 3976 | 3066 | 910 | 807 \u2192 805 |\n| Enosh | 3879 | 2974 | 905 | 3871 | 2966 | 905 | 815 \u2192 815 |\n| Kenan | 3789 | 2879 | 910 | 3781 | 2871 | 910 | 840 \u2192 840 |\n| Mahalalel | 3719 | 2824 | 895 | 3711 | 2816 | 895 | 830 \u2192 830 |\n| Jared | 3654 | 2692 | 962 | 3646 | 2686 | 960 | 800 \u2192 800 |\n| Enoch | 3492 | 3127 | 365 | 3486 | 3121 | 365 | 300 \u2192 300 |\n| Methuselah | 3427 | 2458 | 969 | 3421 | 2456 | 965 | 782 \u2192 780 |\n| Lamech | 3240 | 2463 | 777 | 3236 | 2461 | 775 | 595 \u2192 595 |\n| Noah | 3058 | 2108 | 950 | 3056 | 2106 | 950 | 450 \u2192 450 |\n| Shem | 2556 | 1956 | 600 | 2556 | 1956 | 600 | 500 \u2192 500 |\n| Arphaxad | 2456 | 2018 | 438 | 2456 | 2016 | 440 | 403 \u2192 405 |\n| Shelah | 2421 | 1988 | 433 | 2421 | 1986 | 435 | 403 \u2192 405 |\n| Eber | 2391 | 1927 | 464 | 2391 | 1926 | 465 | 430 \u2192 430 |\n| Peleg | 2357 | 2118 | 239 | 2356 | 2116 | 240 | 209 \u2192 210 |\n| Reu | 2327 | 2088 | 239 | 2326 | 2091 | 235 | 207 \u2192 205 |\n| Serug | 2295 | 2065 | 230 | 2296 | 2066 | 230 | 200 \u2192 200 |\n| Nahor | 2265 | 2117 | 148 | 2266 | 2116 | 150 | 119 \u2192 120 |\n| Terah | 2236 | 2031 | 205 | 2236 | 2031 | 205 | 135 \u2192 135 |\n| Abraham | 2166 | 1991 | 175 | 2166 | 1991 | 175 | 75 \u2192 75 |\n| Isaac | 2066 | 1886 | 180 | 2066 | 1886 | 180 | 120 \u2192 120 |\n| Jacob | 2006 | 1859 | 147 | 2006 | 1861 | 145 | 56 \u2192 55 |\n| Joseph* | 1915 | 1805 | 110 | 1916 | 1806 | 110 | \u2014 |\n\n*Joseph\u2019s lifespan of 110 is already a multiple of 5 and requires no rounding. His birth/death shift derives from the rounded begetting age (91 \u2192 90).\n\nNotable death-date alignments in the Rounded Scaffold:\n\nMethuselah (2456 BC) \u2014 dies at the Flood itself, not 2 years after, as some reckonings suggest. The remaining-years rounding (782 \u2192 780) naturally corrects the 4-year discrepancy (969 \u2192 965).\nLamech (2461 BC) \u2014 dies exactly 5 years before the Flood, preserving the MT structural margin.\nReu (2091 BC) \u2014 dies in the year of Abraham\u2019s call (Genesis 12:1\u20134, Abraham aged 75: 2166 \u2212 75 = 2091 BC). The last pre-Abrahamic patriarch to die does so precisely when Abraham is called.\nSerug (2066 BC) \u2014 dies in the year of Isaac\u2019s birth (Abraham aged 100: 2166 \u2212 100 = 2066 BC). Serug\u2019s death coincides with the birth of the son of promise.\nPeleg and Nahor (both 2116 BC) \u2014 converge to the same death year in the Rounded Scaffold (Actual MT: 2118 and 2117, one year apart). The patriarch of Earth\u2019s division and the grandfather of Abraham die together."
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"text": "### 16.1 The Lifespan Rounding Test\nWhen each of the 26 lifespans (Adam to Moses) is independently rounded to the nearest 5, the total remains exactly 12600 (= 1260 \u00d7 10):\n\n| Patriarch | Actual | Rounded | Adjustment |\n| --- | --- | --- | --- |\n| Adam | 930 | 930 | 0 |\n| Seth | 912 | 910 | \u22122 |\n| Enosh | 905 | 905 | 0 |\n| Kenan | 910 | 910 | 0 |\n| Mahalalel | 895 | 895 | 0 |\n| Jared | 962 | 960 | \u22122 |\n| Enoch | 365 | 365 | 0 |\n| Methuselah | 969 | 970 | +1 |\n| Lamech | 777 | 775 | \u22122 |\n| Noah | 950 | 950 | 0 |\n| Shem | 600 | 600 | 0 |\n| Arphaxad | 438 | 440 | +2 |\n| Shelah | 433 | 435 | +2 |\n| Eber | 464 | 465 | +1 |\n| Peleg | 239 | 240 | +1 |\n| Reu | 239 | 240 | +1 |\n| Serug | 230 | 230 | 0 |\n| Nahor | 148 | 150 | +2 |\n| Terah | 205 | 205 | 0 |\n| Abraham | 175 | 175 | 0 |\n| Isaac | 180 | 180 | 0 |\n| Jacob | 147 | 145 | \u22122 |\n| Levi | 137 | 135 | \u22122 |\n| Kohath | 133 | 135 | +2 |\n| Amram | 137 | 135 | \u22122 |\n| Moses | 120 | 120 | 0 |\n| Total | 12600 | 12600 | 0 |\n\nPositive adjustments: +12. Negative adjustments: \u221212. Exact cancellation.\n\nMachine Guard [LIFESPAN VS. CHRONOLOGY FIREWALL]: The 12600 total is a cumulative lifespan sum \u2014 biographical volumes stacked end-to-end. For the Egypt-era patriarchs (Levi, Kohath, Amram), these lifespans overlap in narrative time (father, son, and grandson alive simultaneously). The 12600 must not be conflated with sequential chronological spans (e.g., the 430-year sojourn). They are two distinct measuring systems applied to the same data.\n\nNote: A formal probability calculation for this exact cancellation under plausible null models remains to be computed. Preliminary assessment: for 26 values where 14 are already multiples of 5, and the remaining 12 are not, the probability that their rounding residuals cancel exactly is considerably below random expectation, but the precise figure depends on the assumed distribution. This calculation is flagged for future work.\n\n### 16.2 Cumulative Lifespan Propagation: Actual vs. Rounded\nModal-state note: The Actual and Rounded cumulative columns are parallel cumulative states. The Rounded cumulative state must not overwrite the Actual cumulative state, and neither cumulative state should be treated as a regular chronological birth-date table.\n\nThe 12600-year invariance means that both the actual and rounded lifespans, when stacked cumulatively backward from Moses\u2019 death (1406 BC), must converge at the same endpoint.\n\nMethodology: Each patriarch\u2019s cumulative date = previous cumulative date + lifespan. The \u201cActual Date\u201d column uses the low value from the standard MT cumulative chronology (the Moses line of the 3-year Aaron/Moses gap). The \u201cRounded Date\u201d column uses the mod-5 rounded lifespans from \u00a716.1. Both are anchored to 1406 BC.\n\n| # | Patriarch | Act. Life | Rnd. Life | Adj. | Act. Date (BC) | Rnd. Date (BC) | Shift |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| \u2014 | Adam (+30) | \u2014 | \u2014 | \u2014 | 14036 | 14036 | 0 |\n| 1 | Adam | 930 | 930 | 0 | 14006 | 14006 | 0 |\n| 2 | Seth | 912 | 910 | \u22122 | 13076 | 13076 | 0 |\n| 3 | Enosh | 905 | 905 | 0 | 12164 | 12166 | +2 |\n| 4 | Kenan | 910 | 910 | 0 | 11259 | 11261 | +2 |\n| 5 | Mahalalel | 895 | 895 | 0 | 10349 | 10351 | +2 |\n| 6 | Jared | 962 | 960 | \u22122 | 9454 | 9456 | +2 |\n| 7 | Enoch | 365 | 365 | 0 | 8492 | 8496 | +4 |\n| 8 | Methuselah | 969 | 970 | +1 | 8127 | 8131 | +4 |\n| 9 | Lamech | 777 | 775 | \u22122 | 7158 | 7161 | +3 |\n| 10 | Noah | 950 | 950 | 0 | 6381 | 6386 | +5 |\n| 11 | Shem | 600 | 600 | 0 | 5431 | 5436 | +5 |\n| 12 | Arphaxad | 438 | 440 | +2 | 4831 | 4836 | +5 |\n| \u2014 | Flood | \u2014 | \u2014 | \u2014 | 4831 | 4836 | \u2014 |\n| 13 | Shelah | 433 | 435 | +2 | 4393 | 4396 | +3 |\n| 14 | Eber | 464 | 465 | +1 | 3960 | 3961 | +1 |\n| 15 | Peleg | 239 | 240 | +1 | 3496 | 3496 | 0 |\n| 16 | Reu | 239 | 240 | +1 | 3257 | 3256 | \u22121 |\n| 17 | Serug | 230 | 230 | 0 | 3018 | 3016 | \u22122 |\n| 18 | Nahor | 148 | 150 | +2 | 2788 | 2786 | \u22122 |\n| 19 | Terah | 205 | 205 | 0 | 2640 | 2636 | \u22124 |\n| 20 | Abraham | 175 | 175 | 0 | 2435 | 2431 | \u22124 |\n| 21 | Isaac | 180 | 180 | 0 | 2260 | 2256 | \u22124 |\n| 22 | Jacob | 147 | 145 | \u22122 | 2080 | 2076 | \u22124 |\n| 23 | Levi | 137 | 135 | \u22122 | 1933 | 1931 | \u22122 |\n| 24 | Kohath | 133 | 135 | +2 | 1796 | 1796 | 0 |\n| 25 | Amram | 137 | 135 | \u22122 | 1663 | 1661 | \u22122 |\n| 26 | Moses | 120 | 120 | 0 | 1526 | 1526 | 0 |\n| \u2014 | Moses (death) | \u2014 | \u2014 | \u2014 | 1406 | 1406 | 0 |\n| Total | 12600 | 12600 | 0 | | | | |\n"
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"text": "Modal-state note: \u00a717 compares traditions by preserving their transmitted or locally defined states. MT, LXX, and SP values are not harmonized by substitution; they are compared as distinct modal states.\n\n| Tradition / state | Value or block | Function in \u00a717 | Adopted status |\n| --- | --- | --- | --- |\n| MT Rounded Scaffold | 4106 BC | base comparison state | adopted for `File_51a` |\n| LXX rounded state | 5486 BC | cross-tradition comparison state | adopted where LXX comparison is active |\n| Transmitted SP rounded state | 4416/4411 BC | ordered SP Creation block | adopted as transmitted SP state |\n| Alternate SP local option | 4406 BC where noted | local harmonic comparison state | not adopted as transmitted SP |\n| LXX with 2nd Cainan | as stated locally | restored-Cainan comparison | active only in LXX subsection |\n\n### 17.1 Why Rounding Preserves Cross-Tradition Compatibility\nThe Rounded Scaffold is most directly demonstrable in the MT, but it remains broadly compatible with the major manuscript traditions because the principal inter-tradition adjustments are commonly expressed in structured block-values such as 5, 10, 50, 100, 130, and in larger compounds derived from them. In that sense, the rounding operation is structurally transparent to the larger manuscript-level architecture, even where the resulting chronological states remain tradition-specific. File 51, therefore, treats the Rounded Scaffold as a common geometric substrate, while still preserving the distinct MT, SP, and LXX modal states required by the repository.\n\n### 17.2 The LXX with 2nd Cainan\nThe LXX includes a 2nd Cainan with a begetting age of 130, itself a clean multiple of 10 and 5. More importantly, one of the principal manuscript differential patterns in the post-Flood Shem-side sector is already exact in the unrounded traditions:\n\n| Comparison | Actual Difference | Factorization |\n| --- | --- | --- |\n| LXX \u2192 SP | 130 | 1 \u00d7 130 |\n| SP \u2192 MT | 650 | 5 \u00d7 130 |\n| LXX \u2192 MT | 780 | 6 \u00d7 130 |\n\nThis 130 / 650 / 780 pattern is stated here specifically for the Shem-side post-Flood placement, where the traditions fall into clean 130-based steps. It must not be generalized without qualification to every node in the Noah/Flood sector, because the transmitted Flood-side values are affected by the localized Shem/Flood anomaly and therefore do not always resolve to the same exact intermediate differences. Thus, the Rounded Scaffold does not create the Shem-side pattern; it preserves a structure already present in the manuscript traditions themselves. The same holds more broadly from the Flood to Abraham: the LXX-MT differential resolves as 650 + 130 = 780 = 6 \u00d7 130. At the rounded layer, the same figures remain in force apart from the localized Shem anomaly, which must be handled separately as a modal adjustment.\n\n### 17.3 The LXX Adam at 5486 BC (Rounded)\n| From LXX Adam (5486) To | Years | Factorization |\n| --- | --- | --- |\n| Joseph\u2019s death (1806) | 3680 | 8 \u00d7 460 |\n| Fall of Jerusalem (586) | 4900 | 100 \u00d7 49 = 70 \u00d7 70 |\n\nThe 460 module organizes both traditions from their respective Creation dates to the same endpoint.\n\n### 17.4 The SP Rounded State as Transmitted\nWithin File 51, the SP pre-Flood layer is best treated as transmitted: a logically deduced alternative system that speaks the same mathematical language as the MT and LXX, while pursuing a different local resolution at the Flood boundary. Accordingly, SP in this file is treated primarily as a block-state witness rather than as a single isolated Creation node; its principal value here lies in how its transmitted Creation block resolves positively to later boundary-states and termini.\n\nIts governing objective appears coherent: to preserve the broad Adam\u2013Noah alignment structure shared with the MT and LXX, while shifting the key emphasis so that the 1656-year total terminates at the death of Noah and so that the Flood-generation cluster is regularized around the Flood itself. In this respect, the SP is not a defective witness but a distinct mathematical recasting of the same underlying chronological grammar.\n\nAt the rounded layer, the transmitted SP is best read not as a single isolated node but as a Creation block:\n\nLXX rounded Creation block: 5491/5486 BC\nSP rounded Creation block: 4416/4411 BC\nMT rounded Creation block: 4111/4106 BC\nThus, the transmitted SP rounded block stands 305 years above the corresponding MT rounded block at both boundaries:\n\n| Comparison | Span | Factorization |\n| --- | --- | --- |\n| 4416 \u2192 4111 | 305 | \u2014 |\n| 4411 \u2192 4106 | 305 | \u2014 |\n\nThe same transmitted SP rounded block also yields a clean terminal relation to the Rounded Conquest block:\n\nRounded Conquest block: 1406/1401 BC\n| Comparison | Span | Factorization |\n| --- | --- | --- |\n| 4416 \u2192 1406 | 3010 | 7 \u00d7 430 |\n| 4411 \u2192 1401 | 3010 | 7 \u00d7 430 |\n\nThis shows that the SP step-back by 5 years need not be treated as something to be corrected. Within the rounded system, it is advantageous in at least one respect: it places the SP Creation block on a clean 430-cycle relation to the Conquest block.\n\nThe transmitted SP rounded block also yields a clean Messianic relation when measured to the Christ birth block:\n\nChrist birth block: 6/1 BC\n\n| Comparison | Span | Factorization |\n| --- | --- | --- |\n| 4416 \u2192 6 | 4410 | 9 \u00d7 490 |\n| 4411 \u2192 1 | 4410 | 9 \u00d7 490 |\n\nThus, the transmitted SP rounded Creation block stands exactly nine jubilee-weeks of years above the Christ birth block at both boundaries. This is a block-to-block relation, not a reduction of SP to a single Creation node, and it provides a positive Christological lock for the adopted transmitted SP state without reverting to the alternate 4406 alignment."
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"text": "|---|---:|---:|---:|---:|\n| Creation Week | 3906 | 3899 | 7 | \u2014 |\n| Adam | 3899 | 2969 | 930 | 130 |\n| Seth | 3769 | 2857 | 912 | 105 |\n| Enosh | 3664 | 2759 | 905 | 90 |\n| Kenan | 3574 | 2664 | 910 | 70 |\n| Mahalalel | 3504 | 2609 | 895 | 65 |\n| Jared | 3439 | 2477 | 962 | 162 |\n| Enoch | 3277 | 2912 | 365 | 65 |\n| Methuselah | 3212 | 2243 | 969 | 187 |\n| Lamech | 3025 | 2248 | 777 | 182 |\n| Noah | 2843 | 1893 | 950 | 500 |\n| Flood | 2243 | 2242 | 1 | \u2014 |\n\n### 2.2 Post-Flood to Patriarchs: MT Minimum-Regular\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age |\n|---|---:|---:|---:|---:|\n| Shem | 2341 | 1741 | 600 | 100 |\n| Arphaxad | 2241 | 1803 | 438 | 35 |\n| Shelah | 2206 | 1773 | 433 | 30 |\n| Eber | 2176 | 1712 | 464 | 34 |\n| Peleg | 2142 | 1903 | 239 | 30 |\n| Reu | 2112 | 1873 | 239 | 32 |\n| Serug | 2080 | 1850 | 230 | 30 |\n| Nahor | 2050 | 1902 | 148 | 29 |\n| Terah | 2021 | 1816 | 205 | 70/130 |\n\n#### 2.2.1 Noah and Shem `\u00b12` anomaly\n\nActive state:\nRegular-localized Shem `\u00b12`."
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"text": "### 3.1 Creation to Flood: SP Normal / G2\n\nThe table uses the native SP frame. Jared, Methuselah, and Lamech retain their lifespan numbers under the inclusive Flood-cap convention. Their selected deaths lie at Flood start; ordinary subtraction to Flood close is the equivalent capacity calculation, not an alternative physical-death assignment.\n\n| Patriarch / event | Birth BC | Death BC | Lifespan / count | Begetting age / binding |\n|---|---:|---:|---|---|\n| Creation Week | 4206 | 4199 | 7 | \u2014 |\n| Adam / preferred chain head | 4199 | 3269 | 930 | 130 |\n| Seth | 4069 | 3157 | 912 | 105 |\n| Enosh | 3964 | 3059 | 905 | 90 |\n| Kenan | 3874 | 2964 | 910 | 70 |\n| Mahalalel | 3804 | 2909 | 895 | 65 |\n| Jared | 3739 | 2893 | 847 inclusive | 62 |\n| Enoch | 3677 | 3312 | 365 | 65 |\n| Methuselah | 3612 | 2893 | 720 inclusive | 67 |\n| Lamech | 3545 | 2893 | 653 inclusive | 53rd year to primary Noah; full 53 to companion |\n| Noah \u2014 G2 primary | 3493 | 2543 | 950 | 500 to G2 primary Shem; other bindings in \u00a73.2.1 |\n| Noah \u2014 G2 companion | 3492 | 2542 | 950 | 500 to G2 companion Shem; other bindings in \u00a73.2.1 |\n| Flood \u2014 start / close | 2893 | 2892 | 1 event-year | \u2014 |\n\nFor the Flood row, the two coordinate columns mean start and close. The remaining uncapped lifespan rows retain their ordinary subtraction conventions; inclusive cap counting does not impose an extra year on every lifespan.\n\nArithmetic verification:\n\n| Row / path | Verification |\n|---|---|\n| Adam | `4199\u2212130=4069`, Seth. |\n| Seth | `4069\u2212105=3964`, Enosh. |\n| Enosh | `3964\u221290=3874`, Kenan. |\n| Kenan | `3874\u221270=3804`, Mahalalel. |\n| Mahalalel | `3804\u221265=3739`, Jared. |\n| Jared | `3739\u221262=3677`, Enoch. |\n| Enoch | `3677\u221265=3612`, Methuselah. |\n| Methuselah | `3612\u221267=3545`, Lamech. |\n| Lamech \u2192 primary Noah | `3545\u221252=3493`: 53rd year at the declared annual station. |\n| Lamech \u2192 companion Noah | `3545\u221253=3492`: 53 full units. |\n| Primary Noah \u2192 Flood start | `3493\u2212600=2893`. |\n| Companion Noah \u2192 Flood start | `3492\u2212599=2893`: ordinal 600th-year boundary, `599+`. |\n| Companion Noah \u2192 Flood close | `3492\u2212600=2892`; close independently belongs to `2893\u21922892`. |\n\nThe three admitted local paths use the one-year counting distinction once:\n\n| Path | Lamech\u2192Noah | Noah birth | Noah\u2192Shem | Shem birth | Shem\u2192Flood start | Flood start |\n|---|---|---:|---|---:|---|---:|\n| Primary Noah / primary Shem | 53rd year: 52 | 3493 | 500 full | 2993 | 100 full | 2893 |\n| Companion Noah / primary Shem | 53 full | 3492 | 500th year: 499 | 2993 | 100 full | 2893 |\n| Companion Noah / companion Shem | 53 full | 3492 | 500 full | 2992 | 100th year: 99 | 2893 |\n\n`52+500+100 = 53+499+100 = 53+500+99 = 652`. The Flood therefore lies in Lamech\u2019s `653rd` counted year. The annual coordinates do not supply an otherwise unstated birthday or fractional-year phase. Genesis 7:6 supplies the cardinal age expression; Genesis 7:11 supplies the ordinal 600th-year expression. Their coordination in this SP field is the study\u2019s reconstruction.\n\n#### 3.1.1 Methodological note: BJ / Jubilees corroboration"
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"text": "| Shem \u2014 Arphaxad-bound | 2991 | 2391 | 600 | 100 |\n| Arphaxad | 2891 | 2453 | 438 | 135 |\n| Shelah | 2756 | 2323 | 433 | 130 |\n| Eber | 2626 | 2222 | 404 | 134 |\n| Peleg | 2492 | 2253 | 239 | 130 |\n| Reu | 2362 | 2123 | 239 | 132 |\n| Serug | 2230 | 2000 | 230 | 130 |\n| Nahor | 2100 | 1952 | 148 | 79 |\n| Terah | 2021 | 1876 | 145, or 205 ideal | 70 |\n| Abraham | 1951 | 1776 | 175 | \u2014 |\n\nArithmetic verification, Arphaxad-bound standard intervals:\n\n| Row | Verification |\n|---|---|\n| Shem | `2991\u2212100=2891`, Arphaxad. |\n| Arphaxad | `2891\u2212135=2756`, Shelah. |\n| Shelah | `2756\u2212130=2626`, Eber. |\n| Eber | `2626\u2212134=2492`, Peleg. |\n| Peleg | `2492\u2212130=2362`, Reu. |\n| Reu | `2362\u2212132=2230`, Serug. |\n| Serug | `2230\u2212130=2100`, Nahor. |\n| Nahor | `2100\u221279=2021`, Terah. |\n| Terah | `2021\u221270=1951`, Abraham. |\n"
},
{
"path": "/workspace/scratch/1b40da62dcbd/project_sources/38-File_18.Chronological_Data_Tables-20260919-141048-.md",
"line_start": 1695,
"line_end": 1734,
"text": "|---|---:|---:|---:|---:|\n| Creation Week | 5286 | 5279 | 7 | \u2014 |\n| Adam | 5279 | 4349 | 930 | 230 |\n| Seth | 5049 | 4137 | 912 | 205 |\n| Enosh | 4844 | 3939 | 905 | 190 |\n| Kenan | 4654 | 3744 | 910 | 170 |\n| Mahalalel | 4484 | 3589 | 895 | 165 |\n| Jared | 4319 | 3357 | 962 | 162 |\n| Enoch | 4157 | 3792 | 365 | 165 |\n| Methuselah | 3992 | 3023 | 969 | 187 |\n| Lamech | 3805 | 3052 | 753 | 182 |\n| Noah | 3623 | 2673 | 950 | 500 |\n| Flood | 3023 | 3022 | 1 | \u2014 |\n\nSource note:\nThe main LXX reconstruction pairs restored begetting `182` with attested LXX lifespan `753` in both Regular and Cumulative execution. The remainder `571` is calculated. The lack of an identified surviving joint `182/753` attestation concerns the combination, not `753` itself; \u00a74A.1 explains its retention as the author-preferred original LXX lifespan. Methuselah still dies in the Flood year (`3023 BC`); Lamech dies `29` years before (`3052 BC`). See \u00a74A for the source distinction and qualified Key-of-23 explanation, and Appendix B for the MT-derived LXX `777` overlay and retained external references. No other row in this birth chain changes.\n\n### 4.2 Post-Flood to Patriarchs: LXX Regular-Minimum\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age |\n|---|---:|---:|---:|---:|\n| Shem | 3121 | 2521 | 600 | 100 |\n| Arphaxad | 3021 | 2556 | 465 | 135 |\n| 2nd Cainan | 2886 | 2426 | 460 | 130, LXX native |\n| Shelah | 2756 | 2296 | 460 | 130 |\n| Eber | 2626 | 2122 | 504 | 134 |\n| Peleg | 2492 | 2153 | 339 | 130 |\n| Reu | 2362 | 2023 | 339 | 132 |\n| Serug | 2230 | 1900 | 330 | 130 |\n| Nahor | 2100 | 1892 | 208 | 79 |\n| Terah | 2021 | 1816 | 205 | 70/130 state-dependent |\n\nNote:\nThe Terah / Abraham relation is resolved by the author-clarified four-position field. The displayed LXX Regular-Minimum Terah row, `2021\u20131816 BC`, is the no-`+60 Terah`, no-`+215 Sojourn` minimum row. In that state, Terah begets Abraham at `70`, producing Abraham `1951 BC`. When `+60 Terah` is active, Terah shifts to `2081\u20131876 BC`; the `130` begetting-state then also produces Abraham `1951 BC`. With the `+215 Sojourn` state active, the corresponding pair is `2236\u20132031 BC` with begetting-state `70`, producing Abraham `2166 BC`, and `2296\u20132091 BC` with begetting-state `130`, also producing Abraham `2166 BC`.\n\nTherefore Abraham has two birth states, `1951 BC` and `2166 BC`, while Terah has four birth/death states.\n\nAuthor-confirmed LXX table correction (September 2026): the former \u00a74.2 Peleg/Reu/Serug lifespan cells `239/239/230` were copy errors, not manuscript variants. The controlling LXX Regular-Minimum values are `339/339/330`; births remain `2492/2362/2230 BC`, so the corrected deaths are `2153/2023/1900 BC`. Begetting ages remain `130/132/130`. This correction is independent of the Lamech `182/753` source hierarchy.\n\nSee MT \u00a72.2.1 for `\u00b12` anomaly details at tradition-specific dates."
},
{
"path": "/workspace/scratch/1b40da62dcbd/project_sources/38-File_18.Chronological_Data_Tables-20260919-141048-.md",
"line_start": 2010,
"line_end": 2073,
"text": "\nActive state:\nSP cumulative chronology.\n\nAnchor:\nDeath of Joshua = `1296 BC`, SP tradition, 110 years.\n\nScalar:\n`12100 = 110 \u00d7 110` years to Creation, lower bound.\n\nLogic:\nUses SP lifespans, including Terah 145 and Lamech 653.\n\n| Patriarch | Lifespan | Moses Line, Nisan | 7-year span, start \u2013 end | Harmonic lock |\n|---|---:|---:|---|---|\n| Adam | 930 | 13398 BC | 13403\u201313396 BC | Lower `13396` \u2192 Joshua = `110\u00b2` |\n| Ark Warning | 120 | 4831 BC | 4836\u20134829 BC | Matches MT Flood |\n| Flood | \u2014 | 4711 BC | 4716\u20134709 BC | 120 years after MT Flood |\n| Peleg | 239 | 3436 BC | 3441\u20133434 BC | 70 Jubilees to Christ, 6 BC |\n| Terah | 145 | 2580 BC | 2585\u20132578 BC | SP specific, 145 |\n| Joshua | 110 | 1406 BC | 1411\u20131404 BC | Conquest |\n| Death | \u2014 | 1296 BC | \u2014 | Target |\n\n#### 6C.1 Day-4 phase-anchor display (File_56 dependency; routed July 2 2026, applied July 6 2026)\n\nActive state:\nSP Enochian Day-4 phase-anchor state, cumulative-only.\n\nUnder the `File_56` state, the SP cumulative decade reads:\n\n| Decade node | Value | Label under File_56 |\n|---|---:|---|\n| Implied Day 1 | 13406 BC | decade opening; display label |\n| Aaron / Adam member | 13401 BC | bears the sixth-day label |\n| Day-10 terminus | 13396 BC | carries the `110\u00b2` Joshua lock |\n\nThis display coexists with the default Day-1 / Year-7 reading of the \u00a76C table. Every numerical value is shared; only day-labels shift by `3`. `File_56` controls the phase-anchor state. SP regular chronology is unaffected.\n\n### 6D. LXX Cumulative Chronology\n\nActive state:\nLXX cumulative chronology.\n\nAnchor:\nConquest / Moses Death = `1406 BC`.\n\nLogic:\nUses LXX lifespans, including Lamech's attested/transmitted `753`, retained as the author-preferred original LXX lifespan in agreement with Regular execution (\u00a74A.1), and Nahor `208`. Includes 2nd Cainan. The former main-table overlay is preserved separately in Appendix B.2; all main-chain values remain unchanged.\n\n| Patriarch | Lifespan | Moses Line, Nisan | 7-year span, start \u2013 end | Note |\n|---|---:|---:|---|---|\n| Adam | 930 | 14896 BC | 14901\u201314894 BC | \u2014 |\n| Lamech, chain | 753 | 8048 BC | 8053\u20138046 BC | Flood chief marker: the death of Methuselah |\n| Flood | \u2014 | 5745 BC | 5750\u20135743 BC | \u2014 |\n| Cainan | 460 | 5280 BC | 5285\u20135278 BC | Includes 2nd Cainan |\n| Peleg | 339 | 3856 BC | 3861\u20133854 BC | `3856 BC` = BJ / Jubilees Creation |\n| Conquest | \u2014 | 1406 BC | \u2014 | Target |\n\nAppendix routing:\nThe `777` cumulative overlay formerly printed here is preserved in Appendix B.2. It shares the Noah endpoint with the `753` chain and must not propagate upward. The LXX Flood's chief cumulative marker remains the death of Methuselah, matching the selected regular `187/182` alignment. The `14901 \u2212 1446 = 13455 = 299 \u00d7 45` lock (File_56 dependency) and all main \u00a76D coordinates remain unchanged.\n\n`430`-alignment justification state (bounded addition):\nLeveling the MT with the LXX by restoring Cainan (`+460`, \u00a76B), the two cumulative chronologies differ by exactly `430` from Lamech back to Adam (`14896 \u2212 14466`), but only with Lamech at `753`: the accumulated difference below him is `454`, and his `\u221224` trims it to Ezekiel's figure, carried unbroken to the head (`8048 \u2212 7618 = 430` at Lamech). The four Adam heads \u2014 each tradition with and without Cainan: `14896 / 14466 / 14436 / 14006 BC` \u2014 read `430 + 30 + 430` (the Adam field; narrative at `File_22` / `File_46` \u00a76A.5). Claim-status: arithmetic fact; the functional-choice reading is structural inference.\n"
}
],
"native_rows": {
"MT_native_OFF": [
{
"name": "Adam",
"begetting": 130,
"lifespan": 930,
"remainder": 800,
"remainder_status": "calculated L minus b"
},
{
"name": "Seth",
"begetting": 105,
"lifespan": 912,
"remainder": 807,
"remainder_status": "calculated L minus b"
},
{
"name": "Enosh",
"begetting": 90,
"lifespan": 905,
"remainder": 815,
"remainder_status": "calculated L minus b"
},
{
"name": "Kenan",
"begetting": 70,
"lifespan": 910,
"remainder": 840,
"remainder_status": "calculated L minus b"
},
{
"name": "Mahalalel",
"begetting": 65,
"lifespan": 895,
"remainder": 830,
"remainder_status": "calculated L minus b"
},
{
"name": "Jared",
"begetting": 162,
"lifespan": 962,
"remainder": 800,
"remainder_status": "calculated L minus b"
},
{
"name": "Enoch",
"begetting": 65,
"lifespan": 365,
"remainder": 300,
"remainder_status": "calculated L minus b"
},
{
"name": "Methuselah",
"begetting": 187,
"lifespan": 969,
"remainder": 782,
"remainder_status": "calculated L minus b"
},
{
"name": "Lamech",
"begetting": 182,
"lifespan": 777,
"remainder": 595,
"remainder_status": "calculated L minus b"
},
{
"name": "Noah",
"begetting": 500,
"lifespan": 950,
"remainder": 450,
"remainder_status": "calculated L minus b"
},
{
"name": "Shem",
"begetting": 100,
"lifespan": 600,
"remainder": 500,
"remainder_status": "calculated L minus b"
},
{
"name": "Arphaxad",
"begetting": 35,
"lifespan": 438,
"remainder": 403,
"remainder_status": "calculated L minus b"
},
{
"name": "Shelah",
"begetting": 30,
"lifespan": 433,
"remainder": 403,
"remainder_status": "calculated L minus b"
},
{
"name": "Eber",
"begetting": 34,
"lifespan": 464,
"remainder": 430,
"remainder_status": "calculated L minus b"
},
{
"name": "Peleg",
"begetting": 30,
"lifespan": 239,
"remainder": 209,
"remainder_status": "calculated L minus b"
},
{
"name": "Reu",
"begetting": 32,
"lifespan": 239,
"remainder": 207,
"remainder_status": "calculated L minus b"
},
{
"name": "Serug",
"begetting": 30,
"lifespan": 230,
"remainder": 200,
"remainder_status": "calculated L minus b"
},
{
"name": "Nahor",
"begetting": 29,
"lifespan": 148,
"remainder": 119,
"remainder_status": "calculated L minus b"
},
{
"name": "Terah",
"begetting": 70,
"lifespan": 205,
"remainder": 135,
"remainder_status": "calculated L minus b"
},
{
"name": "Abraham",
"begetting": 100,
"lifespan": 175,
"remainder": 75,
"remainder_status": "calculated L minus b"
},
{
"name": "Isaac",
"begetting": 60,
"lifespan": 180,
"remainder": 120,
"remainder_status": "calculated L minus b"
},
{
"name": "Jacob",
"begetting": 91,
"lifespan": 147,
"remainder": 56,
"remainder_status": "calculated L minus b",
"begetting_role": "narrative-derived age at Joseph birth; collateral to cumulative Levi continuation"
},
{
"name": "Levi",
"begetting": null,
"lifespan": 137,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Kohath",
"begetting": null,
"lifespan": 133,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Amram",
"begetting": null,
"lifespan": 137,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Moses",
"begetting": null,
"lifespan": 120,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
}
],
"LXX_native_ON": [
{
"name": "Adam",
"begetting": 230,
"lifespan": 930,
"remainder": 700,
"remainder_status": "calculated L minus b"
},
{
"name": "Seth",
"begetting": 205,
"lifespan": 912,
"remainder": 707,
"remainder_status": "calculated L minus b"
},
{
"name": "Enosh",
"begetting": 190,
"lifespan": 905,
"remainder": 715,
"remainder_status": "calculated L minus b"
},
{
"name": "Kenan",
"begetting": 170,
"lifespan": 910,
"remainder": 740,
"remainder_status": "calculated L minus b"
},
{
"name": "Mahalalel",
"begetting": 165,
"lifespan": 895,
"remainder": 730,
"remainder_status": "calculated L minus b"
},
{
"name": "Jared",
"begetting": 162,
"lifespan": 962,
"remainder": 800,
"remainder_status": "calculated L minus b"
},
{
"name": "Enoch",
"begetting": 165,
"lifespan": 365,
"remainder": 200,
"remainder_status": "calculated L minus b"
},
{
"name": "Methuselah",
"begetting": 187,
"lifespan": 969,
"remainder": 782,
"remainder_status": "calculated L minus b"
},
{
"name": "Lamech",
"begetting": 182,
"lifespan": 753,
"remainder": 571,
"remainder_status": "calculated L minus b",
"source_status": "182 operative; 753 attested selected lifespan; 571 calculated; 188 nonoperative; 777 appendix only"
},
{
"name": "Noah",
"begetting": 500,
"lifespan": 950,
"remainder": 450,
"remainder_status": "calculated L minus b"
},
{
"name": "Shem",
"begetting": 100,
"lifespan": 600,
"remainder": 500,
"remainder_status": "calculated L minus b"
},
{
"name": "Arphaxad",
"begetting": 135,
"lifespan": 465,
"remainder": 330,
"remainder_status": "calculated L minus b"
},
{
"name": "2nd Cainan",
"begetting": 130,
"lifespan": 460,
"remainder": 330,
"remainder_status": "calculated L minus b"
},
{
"name": "Shelah",
"begetting": 130,
"lifespan": 460,
"remainder": 330,
"remainder_status": "calculated L minus b"
},
{
"name": "Eber",
"begetting": 134,
"lifespan": 504,
"remainder": 370,
"remainder_status": "calculated L minus b"
},
{
"name": "Peleg",
"begetting": 130,
"lifespan": 339,
"remainder": 209,
"remainder_status": "calculated L minus b"
},
{
"name": "Reu",
"begetting": 132,
"lifespan": 339,
"remainder": 207,
"remainder_status": "calculated L minus b"
},
{
"name": "Serug",
"begetting": 130,
"lifespan": 330,
"remainder": 200,
"remainder_status": "calculated L minus b"
},
{
"name": "Nahor",
"begetting": 79,
"lifespan": 208,
"remainder": 129,
"remainder_status": "calculated L minus b"
},
{
"name": "Terah",
"begetting": 70,
"lifespan": 205,
"remainder": 135,
"remainder_status": "calculated L minus b"
},
{
"name": "Abraham",
"begetting": 100,
"lifespan": 175,
"remainder": 75,
"remainder_status": "calculated L minus b"
},
{
"name": "Isaac",
"begetting": 60,
"lifespan": 180,
"remainder": 120,
"remainder_status": "calculated L minus b"
},
{
"name": "Jacob",
"begetting": 91,
"lifespan": 147,
"remainder": 56,
"remainder_status": "calculated L minus b",
"begetting_role": "narrative-derived age at Joseph birth; collateral to cumulative Levi continuation"
},
{
"name": "Levi",
"begetting": null,
"lifespan": 137,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Kohath",
"begetting": null,
"lifespan": 133,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Amram",
"begetting": null,
"lifespan": 137,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Moses",
"begetting": null,
"lifespan": 120,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
}
],
"SP_native_OFF": [
{
"name": "Adam",
"begetting": 130,
"lifespan": 930,
"remainder": 800,
"remainder_status": "calculated L minus b"
},
{
"name": "Seth",
"begetting": 105,
"lifespan": 912,
"remainder": 807,
"remainder_status": "calculated L minus b"
},
{
"name": "Enosh",
"begetting": 90,
"lifespan": 905,
"remainder": 815,
"remainder_status": "calculated L minus b"
},
{
"name": "Kenan",
"begetting": 70,
"lifespan": 910,
"remainder": 840,
"remainder_status": "calculated L minus b"
},
{
"name": "Mahalalel",
"begetting": 65,
"lifespan": 895,
"remainder": 830,
"remainder_status": "calculated L minus b"
},
{
"name": "Jared",
"begetting": 62,
"lifespan": 847,
"remainder": 785,
"remainder_status": "calculated L minus b",
"lifespan_status": "inclusive cap count; algebraic remainder is not an ordinary elapsed-year remainder"
},
{
"name": "Enoch",
"begetting": 65,
"lifespan": 365,
"remainder": 300,
"remainder_status": "calculated L minus b"
},
{
"name": "Methuselah",
"begetting": 67,
"lifespan": 720,
"remainder": 653,
"remainder_status": "calculated L minus b",
"lifespan_status": "inclusive cap count; algebraic remainder is not an ordinary elapsed-year remainder"
},
{
"name": "Lamech",
"begetting": 53,
"lifespan": 653,
"remainder": 600,
"remainder_status": "calculated L minus b",
"lifespan_status": "inclusive cap count; algebraic remainder is not an ordinary elapsed-year remainder",
"begetting_status": "53rd counted year; descriptive count 53, primary execution 52 completed",
"primary_completed_begetting": 52,
"primary_algebraic_remainder": 601,
"companion_full_begetting": 53,
"companion_algebraic_remainder": 600
},
{
"name": "Noah",
"begetting": 500,
"lifespan": 950,
"remainder": 450,
"remainder_status": "calculated L minus b"
},
{
"name": "Shem",
"begetting": 100,
"lifespan": 600,
"remainder": 500,
"remainder_status": "calculated L minus b"
},
{
"name": "Arphaxad",
"begetting": 135,
"lifespan": 438,
"remainder": 303,
"remainder_status": "calculated L minus b"
},
{
"name": "Shelah",
"begetting": 130,
"lifespan": 433,
"remainder": 303,
"remainder_status": "calculated L minus b"
},
{
"name": "Eber",
"begetting": 134,
"lifespan": 404,
"remainder": 270,
"remainder_status": "calculated L minus b"
},
{
"name": "Peleg",
"begetting": 130,
"lifespan": 239,
"remainder": 109,
"remainder_status": "calculated L minus b"
},
{
"name": "Reu",
"begetting": 132,
"lifespan": 239,
"remainder": 107,
"remainder_status": "calculated L minus b"
},
{
"name": "Serug",
"begetting": 130,
"lifespan": 230,
"remainder": 100,
"remainder_status": "calculated L minus b"
},
{
"name": "Nahor",
"begetting": 79,
"lifespan": 148,
"remainder": 69,
"remainder_status": "calculated L minus b"
},
{
"name": "Terah",
"begetting": 70,
"lifespan": 145,
"remainder": 75,
"remainder_status": "calculated L minus b"
},
{
"name": "Abraham",
"begetting": 100,
"lifespan": 175,
"remainder": 75,
"remainder_status": "calculated L minus b"
},
{
"name": "Isaac",
"begetting": 60,
"lifespan": 180,
"remainder": 120,
"remainder_status": "calculated L minus b"
},
{
"name": "Jacob",
"begetting": 91,
"lifespan": 147,
"remainder": 56,
"remainder_status": "calculated L minus b",
"begetting_role": "narrative-derived age at Joseph birth; collateral to cumulative Levi continuation"
},
{
"name": "Levi",
"begetting": null,
"lifespan": 137,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Kohath",
"begetting": null,
"lifespan": 133,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Amram",
"begetting": null,
"lifespan": 137,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
},
{
"name": "Moses",
"begetting": null,
"lifespan": 120,
"remainder": null,
"remainder_status": "unavailable",
"begetting_role": "no source-admitted begetting input; do not invent a row remainder"
}
]
},
"MT_literal_checks": {
"names": [
"Adam",
"Seth",
"Enosh",
"Kenan",
"Mahalalel",
"Jared",
"Enoch",
"Methuselah",
"Lamech",
"Noah",
"Shem",
"Arphaxad",
"Shelah",
"Eber",
"Peleg",
"Reu",
"Serug",
"Nahor",
"Terah",
"Abraham",
"Isaac",
"Jacob",
"Levi",
"Kohath",
"Amram",
"Moses"
],
"rounded_cumulative_lifespans": [
930,
910,
905,
910,
895,
960,
365,
970,
775,
950,
600,
440,
435,
465,
240,
240,
230,
150,
205,
175,
180,
145,
135,
135,
135,
120
],
"rounded_regular_theoretical_lifespans_Adam_to_Jacob": [
930,
910,
905,
910,
895,
960,
365,
965,
775,
950,
600,
440,
435,
465,
240,
235,
230,
150,
205,
175,
180,
145
],
"actual_cumulative_dates": [
14006,
13076,
12164,
11259,
10349,
9454,
8492,
8127,
7158,
6381,
5431,
4831,
4393,
3960,
3496,
3257,
3018,
2788,
2640,
2435,
2260,
2080,
1933,
1796,
1663,
1526
],
"rounded_cumulative_dates": [
14006,
13076,
12166,
11261,
10351,
9456,
8496,
8131,
7161,
6386,
5436,
4836,
4396,
3961,
3496,
3256,
3016,
2786,
2636,
2431,
2256,
2076,
1931,
1796,
1661,
1526
]
},
"rules": {
"nearest5": "R(n)=5 floor((n+2)/5), for nonnegative integer source measures",
"begetting": "R(b); propagate selected begetting intervals with declared anchors/boundary terms",
"theoretical_regular_life": "R(b)+R(L-b), explicitly source-adopted MT only; cross-tradition application is diagnostic",
"cumulative_life": "R(L), source-adopted MT; transfer to LXX/SP is derived comparison pending validation against a controlling rounded table",
"residual_sign": "rounded minus actual",
"commutator": "K=R(b)+R(r)-R(b+r)",
"boundary_residual": "D_i=sum_{j>=i}(R(L_j)-L_j), for common terminal anchor",
"SP_guard": "inclusive counts and completed intervals remain separately typed; no upstream Gear or invented death biography",
"Cainan": "130+330=460; native LXX ON, MT/SP OFF; leveling only explicit finite comparison",
"inverse": "no decimal inversion in this packet"
},
"source_discrepancies": [
{
"source": "File51a \u00a73.4 Machine Guard [METHUSELAH BIFURCATION]",
"quote": "Both rules are applied uniformly to all patriarchs; Methuselah is the unique case where they diverge.",
"finding": "Own table Reu32+207\u219230+205=235 disagrees with cumulative239\u2192240 too; literal values retained; uniqueness sentence requires qualification."
},
{
"source": "File51a \u00a716.1 probability note",
"finding": "The literal lifespan list has14 nonmultiples and12 multiples of5, reversed from the prose note14 multiples/12 nonmultiples; no probability calculation undertaken."
}
]
}
Evidence
rounding inputs.json
Linked sources and evidence
Edition and provenance
rounding_inputs.json
SHA-256 1c34bdf733d5822070359212b1fc1bedd09747e2ea47ae613a45570546f1aaf4
C480–C1634/Research_Cycles/C0732_C0831/model/rounding_inputs.json