# C275 exact passage ledger Line numbers refer to the included, hash-bound source copies. Classifications are authored; excerpt identity is machine checked. ## P01 — §6B MT restored cumulative table Source: FILE_18.md, lines 1990–1999. Purpose: MT source field and compressed 5290-to-Christ annotation. Classification: chronology-coordinate control plus compressed comparison annotation. | Patriarch | Lifespan | Standard, Moses | With Cainan, Moses Line | 7-year span with Cainan, start – end | Note | |---|---:|---:|---:|---|---| | Apparent Adam — derived companion | — | 14036 | 14496 | 14501–14494 | Aaron `14499` whole-year / `14499.5` exact; derived only, not a raw row | | Adam, Year 6 | 930 | 14006 | 14466 | 14471–14464 | `14466` versus `1446`, Exodus | | Seth | 912 | 13076 | 13536 | 13541–13534 | — | | … | … | … | … | … | … | | Jared | 962 | 9454 | 9914 | 9919–9912 | — | | Flood | — | 4831 | 5291 | 5296–5289 | `5290` → Christ, Key of 23 | | Arphaxad | 438 | 4831 | 5291 | 5296–5289 | — | | Cainan | 460 | N/A | 4853 | 4858–4851 | Inserted variable | ## P02 — §6C SP cumulative table Source: FILE_18.md, lines 2023–2031. Purpose: SP source field only; no local 4715 translation stated in this table. Classification: chronology-coordinate control. | Patriarch | Lifespan | Moses Line, Nisan | 7-year span, start – end | Harmonic lock | |---|---:|---:|---|---| | Adam | 930 | 13398 BC | 13403–13396 BC | Lower `13396` → Joshua = `110²` | | Ark Warning | 120 | 4831 BC | 4836–4829 BC | Matches MT Flood | | Flood | — | 4711 BC | 4716–4709 BC | 120 years after MT Flood | | Peleg | 239 | 3436 BC | 3441–3434 BC | 70 Jubilees to Christ, 6 BC | | Terah | 145 | 2580 BC | 2585–2578 BC | SP specific, 145 | | Joshua | 110 | 1406 BC | 1411–1404 BC | Conquest | | Death | — | 1296 BC | — | Target | ## P03 — §6D LXX cumulative table Source: FILE_18.md, lines 2059–2066. Purpose: Native ON source field and 460 Cainan lifespan. Classification: chronology-coordinate control. | Patriarch | Lifespan | Moses Line, Nisan | 7-year span, start – end | Note | |---|---:|---:|---|---| | Adam | 930 | 14896 BC | 14901–14894 BC | — | | Lamech, chain | 753 | 8048 BC | 8053–8046 BC | Flood chief marker: the death of Methuselah | | Flood | — | 5745 BC | 5750–5743 BC | — | | Cainan | 460 | 5280 BC | 5285–5278 BC | Includes 2nd Cainan | | Peleg | 339 | 3856 BC | 3861–3854 BC | `3856 BC` = BJ / Jubilees Creation | | Conquest | — | 1406 BC | — | Target | ## P04 — §3.1 Cumulative Flood and Shem fields Source: MIRROR_COMPREHENSIVE.md, lines 82–95. Purpose: Held ON/OFF fields and matched 600 source displacement. Classification: chronology-coordinate control. ### 3.1 Cumulative Flood and Shem fields All values in this table are Nisan-coordinate field boundaries; apply the phase rule above to obtain paired boundaries. | Tradition/state | Flood / Shem-death comparison field | Shem birth / Noah-death field | |---|---|---| | LXX native, Cainan ON | **5750–5743** | **6350–6343** | | LXX leveled, Cainan OFF | **5290–5283** | **5890–5883** | | MT restored, Cainan ON | **5296–5289** | **5896–5889** | | MT native, Cainan OFF | **4836–4829** | **5436–5429** | | SP restored, Cainan ON | **5176–5169** | **5776–5769** | | SP native, Cainan OFF | **4716–4709** | **5316–5309** | Each matched Shem birth-to-death field is **600** years. Cumulative Cainan contributes **460**. The comparison labels retain separate node classes: a cumulative Flood marker, cumulative Shem-death seam, and Arphaxad boundary are not thereby identical regular historical events. File_18 additionally distinguishes each source's chief Flood-marker convention [S2]. ## P05 — §0.1 Mirror/phase control states Source: FILE_09.md, lines 104–110. Purpose: Fixed January AD1 global axis and suffix inversion. Classification: fixed coordinate/phase convention. | Formal paired Mirror phase-consistency proof state | proof notation: `n = 0`; `t = 0.5`; phase correction `q − p` applied only after the civil-year skeleton | proof that suffix inversion preserves `.5` phase distance and equal component spans | Author decision applied. The valid paired display gives equal exact components: `1407t BC → AD 1406t = 2812` and `1406n BC → AD 1407n = 2812`. The invalid same-order display would produce `2811.5` and `2812.5`, and its AD-side internal width is `1.5` years rather than `.5`. This proof is a phase-consistency check, not a new civil-span operator. | | Julian Jan-1 Mirror-axis phase model | Oct 1 = `t`; Apr 1 = `n`; Jan 1 = Mirror-axis / center point | simplified Julian phase-coordinate model for exact paired-date work | Author decision applied. The model maps Tishri to the start of Oct 1 and Nisan to the start of Apr 1. The `t/n` pair is January-centered. This supplies the exact calendar reason that paired Mirror dates use suffix inversion. | | Second-Adam / circumcision hinge state | Dec 25, 1 BC → Jan 1, AD 1 | repository Mirror hinge / Day-8 naming and circumcision tradition | Preserved as theological / calendrical hinge. The Mirror axis is the start of Jan 1, AD 1; it is not a July-centered axis. | | January-centered `t/n` pair state | `Yt/(Y−1)n BC`; AD Mirror `AD (Y−1)t/Y n` | half-year pair centered on Jan 1 | Active for phase-resolved Mirror work. The pair’s BC center is Jan 1 of `(Y−1) BC`; its AD center is Jan 1 of `AD Y`. The self-mirrored pair brackets the Jan 1, AD 1 hinge. | | July-centered `n/t` contrast state | same-year `Yn/Yt` | half-year pair centered on July 1 | Contrast state only. It is not active for Creation / Conquest paired Mirror work because it would center the pair on July 1 rather than Jan 1. | | Standalone phase-date polarity caveat | single exact `t` or `n` Mirror dates; odd single-date spans | polarity-flip warning for non-paired phase dates | Author decision applied as a compact caveat. Standalone Nisan or Tishri dates may flip phase polarity across their own midpoint because exact single-date Mirror spans such as `2813` and `2811` are odd. This does not contradict the paired `t/n` state, whose Jan-1 average is even. Full mechanics are recommended for a later Mirror-control file. | | Plague-period phase-pair example | `1447t/1446n BC → AD 1446t/1447n` | example of the generic suffix-inversion rule by dependency | Source-control example only in `File_09`. The plague-period pair is not a new File_09 anchor. It illustrates that `AD 1446n/1447t` would not preserve the `.5` relation and must not replace the phase-resolved Mirror display. | ## P06 — §0.1 restored Flood-week node control Source: FILE_09.md, lines 116–117. Purpose: 5289 is a cumulative terminal member; preserve node class. Classification: chronology-coordinate control. | Restored cumulative 2nd Cainan Flood Week state | `5296–5289 BC`; `+460` | restored cumulative Flood Week envelope | Active author decision. `5289 BC` belongs to the terminal member of this restored cumulative Flood Week. | | Arphaxad-Jacob arc state | 5289 BC → 1859 BC; `3430`; `70 × 49`; `7 × 490` | restored cumulative Flood Week terminal / Arphaxad-side boundary to Jacob death | Arithmetic fact under same-side BC span and Jubilee / Danielic factorization. The `5289 BC` label is now resolved as the terminal member of the restored cumulative 2nd Cainan Flood Week and retained as the source’s Flood / Arphaxad boundary label. | ## P07 — §7 LXX outer boundary Source: MIRROR_COMPREHENSIVE.md, lines 234–253. Purpose: 5290 source radius, Cainan restoration and 25/23 expansion motivate the value without specifying a local translation. Classification: source-coordinate relation. ## 7. LXX outer boundary, Cainan restoration, and week reversal The corrected native LXX boundary is **5751t/5750n BC**, not 5750t/5750n. | Cumulative LXX state | BC opening boundary | Paired reflection | Self-Mirror width | |---|---|---|---:| | Cainan ON | **5751t/5750n BC** | **AD 5750t/5751n** | **11500 = 23×500** | | Cainan OFF | **5291t/5290n BC** | **AD 5290t/5291n** | **10580 = 23×460** | The difference between these full widths is **920 = 460+460**. From the pair centers to the fixed axis: \[ 5290=23\times230\xrightarrow{25/23}5750=25\times230. \] Thus each OFF center moves outward **460** years and reaches the ON boundary. Equivalently: \[ 10580\times25/23=11500. \] ## P08 — §8 common 5290 translation Source: MIRROR_COMPREHENSIVE.md, lines 268–290. Purpose: Direct declaration of the shared MT/LXX operation and resulting landings. Classification: declared placement followed by derived relations. ## 8. The four cumulative Flood weeks and the 6+1+6 arrangement The four descending openings are: | Field | Opening | Closing | |---|---|---| | LXX ON | **5751t/5750n BC** | **5744t/5743n BC** | | MT ON | **5297t/5296n BC** | **5290t/5289n BC** | | LXX OFF | **5291t/5290n BC** | **5284t/5283n BC** | | MT OFF | **4837t/4836n BC** | **4830t/4829n BC** | Their opening-coordinate gaps are **454+6+454**. Advance the middle MT-ON and LXX-OFF weeks **5290 = 23×230** years: | Boundary | Original BC phase pair | Translated pair | |---|---|---| | MT opens | 5297t/5296n | **7t/6n BC** | | LXX opens | 5291t/5290n | **1t BC / AD 1n** | | MT closes | 5290t/5289n | **AD 1t/2n** | | LXX closes | 5284t/5283n | **AD 7t/8n** | On the Nisan rail the combined sequence is **6 BC → AD 1 → AD 2 → AD 8**, giving **6+1+6 = 13**. Each source still has its own seven-year interval; the two overlap by one year. Dean reads this as the fallen-creation/curse pattern, with the final year of **6+1+6+1 = 14** initially implied. The six-year MT/LXX displacement is a relationship between these selected cumulative fields. It is distinct from the SP regular one-year personal mechanism discussed later. ## P09 — §9 Shem completion Source: MIRROR_COMPREHENSIVE.md, lines 292–309. Purpose: Join displayed after 5290 and the additional 598 are supplied. Classification: derived relation conditional on placement. ## 9. Shem's 600/598 and completion of the fourteen-year window Adding **600** to the cumulative Flood date produces the corresponding Shem-birth date. Increasing the forward translation by **598** leaves the landing **two years earlier**: \[ 5290+600=5890,\qquad5290+598=5888=23\times256=23\times2^8. \] For MT ON, the Shem week is **5897t/5896n → 5890t/5889n BC**. Advancing it **5888** years gives **9t/8n → 2t/1n BC**. Reflecting that complete interval gives **AD 1t/2n → AD 8t/9n**. | Component of the completed construction | Opening | Closing | Years | |---|---|---|---:| | Translated MT Flood week | **7t/6n BC** | **AD 1t/2n** | **7** | | Reflected translated MT Shem week | **AD 1t/2n** | **AD 8t/9n** | **7** | This supplies the previously implied final boundary, giving **7+7 = 14**, or the earlier partition **6+1+6+1**. The LXX Flood week retains its own dates; it is not moved to manufacture this completion. The shared paired boundary is **AD 1t/2n**, centered on January AD 2. Dean calls this Christ-centered in the nativity-period construction. Do not identify this junction with the distinct fixed Mirror axis at January AD 1. The second week is the reflection of the translated **Shem** week; it is not the direct reflection of the first Flood week. ## P10 — §6 central completion Source: MIRROR_BILATERAL.md, lines 208–234. Purpose: General end-to-start theorem is conditional on the joining requirement. Classification: conditional theorem and inherited placement. ## 6. Why the central completion joins at January AD 2 The supplied translations reproduce exactly. Signed centers make their relationships concise: | Source | Translated Flood week \(F\) | Translated Shem week \(H\) | Reflected Shem week | |---|---|---|---| | MT ON | [−6, 1] | [−8, −1] | [1, 8] | | SP OFF | [−1, 6] | [−3, 4] | [−4, 3] | | LXX OFF | [0, 7] | [−2, 5] | [−5, 2] | The source displacement is 600; the additional translation is 598. Therefore \(H=T_{-2}F\) and \[ \mathcal R(H)=T_2\mathcal R(F). \] More generally, for a week \(F=[a,a+w]\) and residual displacement \(r\), its partner is \([r-a-w,r-a]\). The two weeks meet end-to-start precisely when \[ a+w=r-a-w, \quad a=\frac r2-w, \quad\text{junction}=\frac r2. \] With \(w=7\), \(r=600-598=2\), this forces \(a=-6\) and the junction \(x=1\): **January AD 2**, displayed as **AD 1t/2n**. The composite operation \(T_2\mathcal R\) is a reflection about that junction; the underlying Mirror remains fixed at January AD 1. This derives the handoff’s central 7+7 completion from the declared residual and week length. It also explains why the reflected Shem week, rather than a direct reflection of the Flood week, completes the construction. Separately, translated SP Flood is the direct reflection of translated MT Flood, as supplied. ## P11 — §14.1 SP widths Source: MIRROR_COMPREHENSIVE.md, lines 542–556. Purpose: 4715/5313 explicitly supplied; separate from canonical SP input coordinates. Classification: declared placement. ## 14. Inserting SP into the Christ-period Flood/Shem Mirror field ### 14.1 Correct SP translation widths | SP state | Flood translation | Shem translation | |---|---:|---:| | Cainan OFF | **4715 = 23×205** | **5313 = 4715+598 = 23×231 = 69×77** | | Cainan ON | **5175 = 23×225** | **5773 = 5175+598 = 23×251** | The conversational factors **23×105** and **23×125** were transcription errors for **23×205** and **23×225**. Adding 460 to both the SP source dates and the translation width preserves the same landings in the ON state. For example: - **5317t/5316n BC**, advanced **5313**, lands at **4t/3n BC**. Its week closes at **AD 4t/5n**. - **4717t/4716n BC**, advanced **4715**, lands at **2t/1n BC**. Its week closes at **AD 6t/7n**. ## P12 — §14.2 SP/MT reflection Source: MIRROR_COMPREHENSIVE.md, lines 558–573. Purpose: Global transformed-interval identity follows the declared translation table. Classification: derived relation conditional on placement. ### 14.2 Flood weeks and their paired reflections | Source | Translated Flood interval | Reflected interval | |---|---|---| | MT ON, translate 5290 | **7t/6n BC → AD 1t/2n** | **2t/1n BC → AD 6t/7n** | | SP OFF, translate 4715 | **2t/1n BC → AD 6t/7n** | **7t/6n BC → AD 1t/2n** | | LXX OFF, translate 5290 | **1t BC / AD 1n → AD 7t/8n** | **8t/7n BC → 1t BC / AD 1n** | The central exact identity is: \[ \boxed{\operatorname{Mirror}(\text{translated SP Flood week}) =\text{translated MT Flood week}}. \] The converse follows from reflection being an involution. This concerns the transformed intervals, not identity of the original source events or calendars. ## P13 — §14.3 Shem widths Source: MIRROR_COMPREHENSIVE.md, lines 575–583. Purpose: The same fixed translation increment is used for each source. Classification: declared increment and derived relation. ### 14.3 Shem weeks: source +600, translation +598 | Source | Translated Shem interval | Reflected interval | |---|---|---| | MT ON, translate 5888 | **9t/8n BC → 2t/1n BC** | **AD 1t/2n → AD 8t/9n** | | SP OFF, translate 5313 | **4t/3n BC → AD 4t/5n** | **5t/4n BC → AD 3t/4n** | | LXX OFF, translate 5888 | **3t/2n BC → AD 5t/6n** | **6t/5n BC → AD 2t/3n** | Each translated Shem interval is **two years earlier** than that source's translated Flood interval. Each reflected Shem interval is **two years later** than its corresponding reflected Flood interval. This sign reversal follows from reflection, and preserves the full 600 source lifespan while exposing the 598 difference between translation widths. ## P14 — §1.1 boundary levels Source: AXIS_REPORT.md, lines 40–49. Purpose: 5290 radius is retained while domain assignment remains open. Classification: retained marker with explicit limit. | −y radius | BC boundary display | Assignment in this study | +y reflected boundary, retained in the model | |---|---|---|---| | −2116 = −4×529 | 2117t/2116n BC | Regular Terah → Abram | AD 2116t/2117n | | −4232 = −8×529 | 4233t/4232n BC | Regular Creation → Terah, excluding Terah; cumulative Terah → Abram | AD 4232t/4233n | | −5290 = −10×529 | 5291t/5290n BC | Flood-related marker; domain assignment left open | AD 5290t/5291n | | −6348 = −12×529 | 6349t/6348n BC | Cumulative Creation → Terah, excluding Terah | AD 6348t/6349n | The figure omits the repeated +y date labels, as requested. The table records them for reproducibility. **6398**, used once in the initial discussion, is corrected to **6348=3×2116**. These assignments specify which translation is being investigated for each source field. The common comparison anchors remain available across fields: Entry **1877t/1876n BC**, Exodus **1447t/1446n BC**, and Conquest **1407t/1406n BC**, with their appropriate reflected counterparts. Moses’ **1526/1446/1406** form the principal biography; **1486** is a secondary age-40 node, retained where it explains an equation but removed from the principal comparison columns. **1846** remains a secondary Entry-family comparison. ## P15 — §16 source-qualified 3+7 background Source: AXIS_REPORT.md, lines 904–906. Purpose: Routes to the immediate S11 branch; does not merge G3 companion with G2. Classification: source-qualified corroborating subdivision. Dean interprets the MT/SP/LXX cumulative-Flood intersections with Creation through **5+1+1+6**, with another +1 implied. This report preserves that proposed larger template and the exact component constructions supplied here. It does not claim that every segment of that entire cross-tradition sequence has now been assigned and independently audited as one continuous chain. That mapping is the strongest bounded continuation after this synthesis. The earlier **3+7×529** handoff likewise remains source-qualified: **5296→3709→6 BC** uses MT cumulative ON, SP regular G3 companion Noah, and the Christ anchor. It is not silently imported into the main Gear-2 tables. Its total 5290 can support the retained trunk marker without changing its source identities. [S11] ## P16 — Appendix D S11 and execution settings Source: AXIS_REPORT.md, lines 1039–1041. Purpose: Identity of immediate branch reference and retained settings. Classification: documentary reference. **[S11] Related branch:** *490d_Branch_Handoff_3plus7x529_Flood_Noah_Christ_20260921 (2).md*. Its source-state qualifications remain separate from the current Gear-2 core. **Execution settings:** no astronomical year-zero relabeling; normal Gear 2 in the core; regular Cainan insertion +130 upstream; cumulative insertion +460 upstream through Arphaxad, with Shelah onward fixed; full seven-year cumulative envelopes; original and reflected phase pairs distinguished; source event, generated coordinate, converted width, and theological role recorded separately. No canonical source file or main-window checkpoint was changed. ## P17 — §1 main observation Source: BRANCH_3PLUS7.md, lines 7–20. Purpose: Explicitly subdivides the already established 5290 span; target 6BC is retained. Classification: source-qualified subdivision of an already retained span. ## 1. Main observation Dean identifies a Noah-birth division of the established 5290-year cumulative-Flood-to-Christ comparison. All dates in the principal chain are BC: \[ \boxed{5296\xrightarrow{1587=3\times529}3709 \xrightarrow{3703=7\times529}6.} \] Thus **1587+3703=5290=(3+7)×23²**. The intermediate coordinate is an admitted SP Noah-birth station. The controlling source labels are **MT cumulative, second Cainan ON**, at the 5296 Flood-week opening; **SP regular, G3 companion Noah birth**, at 3709; and the project’s **6 BC Christ-birth anchor**. Regular settings are full-430, Terah +60 OFF, and second Cainan OFF. The cumulative and regular Cainan selections are deliberately distinct. Dean’s initial wording called 5296 “LXX cumulative, Cainan OFF.” The current LXX OFF field is **5290–5283**, whereas **5296–5289** is MT cumulative ON. Likewise, the regular LXX OFF G3 Noah birth is **3710**, while **3709** is SP’s G3 −1 companion. These corrections preserve the numerical observation. ## P18 — §2 source membership Source: BRANCH_3PLUS7.md, lines 22–38. Purpose: Source-qualified ladder and limits on historical birth identification. Classification: source-membership qualification. ## 2. Full Nisan ladder and source membership Each row preserves the same **3×529 + 7×529** division. Every column below is **Nisan BC**. | MT cumulative ON Flood-week member | Regular Noah birth | Christ-period landing | SP identification | LXX OFF identification | |---:|---:|---:|---|---| | **5296n** | **3709n** | **6n** | G3 companion | — | | 5295n | 3708n | 5n | G2 primary | G2 | | 5294n | 3707n | 4n | G2 companion | — | | 5293n | 3706n | 3n | G1 primary | G1 | | **5292n** | **3705n** | **2n** | G1 companion | — | SP therefore supplies five consecutive annual selections, spanning four elapsed years. The first two intervals are always **1587** and **3703**. The terminal members belong to the previously retained Christ-period field; the table does not assert five independently established historical birth dates. Dean’s final extension “5295/3705/2” is treated as an apparent typo for **5292/3705/2**: **3705+1587=5292**. This correction is arithmetic; explicit confirmation of the typo was not received before this report was requested. Regular LXX OFF G3 **3710n** would require **5297n→3710n→7n BC**. That cumulative member lies one year before the held MT ON Nisan field, so G3 supplies no complete Nisan chain within it. ## P19 — §4 earlier partition and source basis Source: BRANCH_3PLUS7.md, lines 53–59. Purpose: The same outer span already had a 5+5 partition; intermediate source differs. Classification: dependency disclosure. ## 4. What this adds to the earlier reports The earlier cumulative–regular handoff already contains **5296→2651→6 BC**, a **5×529 + 5×529** partition. Dean’s new observation gives the same outer span an event-qualified SP intermediate point, **3709**, located **1058=2×529** years earlier than 2651. Hence the change from **5+5** to **3+7**. A bounded search found no earlier explicit occurrence of this particular **5296→3709→6** partition. The total and other uses of the component numbers were already known; exhaustive historical priority is not claimed. Source basis: the supplied **20 September MT cumulative–regular branch handoff** and **SP regular/cumulative Noah–Shem–Flood tables**, with **File_18 (20260919-141048), §§3, 4 and 6B–6D**, and the paired-phase convention of the **21 September 6877/598/299 handoff**. Arithmetic and seasonal checks were completed for the displayed chains. No canonical file was changed; the SP −1 companion remains local to SP Noah/Shem. ## S01 — §2.1.3 MT minimum table Source: FILE_18.md, lines 1223–1237. Purpose: Supplement: Adam3899/Jared3439. Classification: supplement only. #### 2.1.3 MT Minimum-Regular table | Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age | |---|---:|---:|---:|---:| | Creation Week | 3906 | 3899 | 7 | — | | Adam | 3899 | 2969 | 930 | 130 | | Seth | 3769 | 2857 | 912 | 105 | | Enosh | 3664 | 2759 | 905 | 90 | | Kenan | 3574 | 2664 | 910 | 70 | | Mahalalel | 3504 | 2609 | 895 | 65 | | Jared | 3439 | 2477 | 962 | 162 | | Enoch | 3277 | 2912 | 365 | 65 | | Methuselah | 3212 | 2243 | 969 | 187 | | Lamech | 3025 | 2248 | 777 | 182 | | Noah | 2843 | 1893 | 950 | 500 | ## S02 — §4 LXX minimum introduction/table Source: FILE_18.md, lines 1689–1707. Purpose: Supplement: heading +1380 must not override row-specific offsets. Classification: supplement only. Note: LXX Regular-Minimum = MT Minimum-Regular + `1380` years. ### 4.1 Creation to Flood: LXX Regular-Minimum | Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age | |---|---:|---:|---:|---:| | Creation Week | 5286 | 5279 | 7 | — | | Adam | 5279 | 4349 | 930 | 230 | | Seth | 5049 | 4137 | 912 | 205 | | Enosh | 4844 | 3939 | 905 | 190 | | Kenan | 4654 | 3744 | 910 | 170 | | Mahalalel | 4484 | 3589 | 895 | 165 | | Jared | 4319 | 3357 | 962 | 162 | | Enoch | 4157 | 3792 | 365 | 165 | | Methuselah | 3992 | 3023 | 969 | 187 | | Lamech | 3805 | 3052 | 753 | 182 | | Noah | 3623 | 2673 | 950 | 500 | | Flood | 3023 | 3022 | 1 | — | ## S03 — Appendix actual-page adjustment Source: FILE_18.md, lines 2457–2459. Purpose: Supplement: +215 and no +60, LXX5494. Classification: supplement only. | Replacement page | Setting | Adjustment to minimum | |---|---|---| | Regular page, MT / LXX / SP tables | `+215`; no `+60`; LXX at the actual `5494` family; Lamech per §4A | Subtract 215. | ## S04 — §§1.2–1.3 pair translation and anchors Source: AXIS_REPORT.md, lines 62–90. Purpose: Supplement: P_b+W=Q_(W-b), compare reflected AD anchors. Classification: supplement only. The paired reflection rule is: $$P_b=(b+1)t/bn\text{ BC}\quad\longleftrightarrow\quad Q_b=\text{AD }bt/(b+1)n.$$ The centers of these pairs are −b and +b. Each pair spans half a schematic year. At the component level, reflection sends **BC yt to AD yn**, and **BC yn to AD yt**; ordering the reflected pair chronologically then produces the displayed AD t/n order. Thus the Conquest comparison is **AD 1406t/1407n**, also writable in reverse display order as **AD 1407n/1406t**. **AD 1406n/1407t** is a different, 1.5-year interval. Merely reversing printed order must never reattach the suffixes to different numbers. ### 1.3 One translation rule governs the tables Advancing the BC pair by W years gives: $$P_b+W=Q_{W-b}=\text{AD }(W-b)t/(W-b+1)n,$$ when the result is on the AD side. Both seasonal checks agree: $$[(b+1)+(W-b)-1]=[b+(W-b+1)-1]=W.$$ If the result stays BC, subtract W from the BC year labels normally. This occurs for cumulative Creation under +12696. A comparison of a translated landing with the ordinary reflected anchor Q_d has signed width: $$D_W(b,d)=W-b-d.$$ For the same event on both sides, this reduces to: $$D_W(b,b)=W-2b=2(r-b),\qquad W=2r.$$ Most apparently separate observations below are instances of these formulas. Unsuffixed table headings such as “to 1406” mean **to Q₁₄₀₆ on the AD side**, unless another phase state is explicitly declared. A literal BC-to-AD interval instead uses the corresponding civil cross-axis count. ## S05 — §8.2 retained MT Creation/Jared Source: AXIS_REPORT.md, lines 489–503. Purpose: Supplement: known4114/3654 and comparison-gap versus bridge expansion. Classification: supplement only. ### 8.2 Creation and Jared, with normal Gear 2 held The selected regular nodes are **4114 BC** and **3654 BC**, 460 years apart. Two separately declared bridge states give: | Boundary | Source BC | +8464 landing AD | To Conquest | +9200 landing AD | To Conquest | | --- | --- | --- | --- | --- | --- | | Creation | 4115t/4114n | 4350t/4351n | 2944 | 5086t/5087n | 3680 | | Jared | 3655t/3654n | 4810t/4811n | 3404 | 5546t/5547n | 4140 | The expanded bridge is **8464×25/23=9200**; the earlier “25/25” expression was a typographical error. At W=9200, the Conquest comparisons are: $$3680=8\times460\xrightarrow{K}4000,$$ $$4140=9\times460\xrightarrow{K}4500.$$ This expands the bridge before generating new coordinates. It is a different operation from expanding an already computed comparison gap.