08b NT grouping

NT slots and source chronology

The NT family replaces animal counts with named generation slots. Its 70-year measure and 6 BC hinge supply a schematic coordinate field. Relative positions, duration and placement remain distinguishable. The Key comparisons send Enoch’s radius one slot outward to Jared under the Prophetic factor and six slots outward to Adam under the Priestly factor. Their equations are proportional, so they fix the radius at 69 slots without independently determining the slot duration. The supplied 2450-year span across 35 slots fixes 70 years, giving a radius of 4830. The existing co-registrations retain the 6 BC birth hinge; this is conditional reconstruction of the supplied display. (File 43 §§2.1–2.3,3.4; File 54 §6, §§8.6,13.2; C1019–C1022.)

The latest comparison carries this fixed NT field across all 22 shared Adam–Jacob names in the native MT, SP and LXX birth tables. Each tradition keeps its supplied frame and count conventions. The result exposes a complete ten-name stretch with identical SP and LXX births, although their lifespan measurements differ:

At each of these ten names, SP and LXX give the same NT-to-birth difference. Seven lifespans nevertheless differ: 27, four contributions of 100, and two of 60, totaling 547. Regular birth comparison cannot detect those differences; the Cumulative source-row measure can. The agreement therefore identifies a shared measurement of the sources while leaving their other measurements distinct. This transfers the already established source differences into the NT display without supplying a new generating rule. (File 18 §§3.2–3.3,4.2–4.3; C1266–C1269.)

Native LXX Cainan clarifies what the named slots retain. Its Arphaxad–Cainan–Shelah birth intervals are 135 and 130 years, while the corresponding NT intervals are 70 and 70. The successive comparison values consequently change by 65 and 60. Omitting Cainan from the shared-name table leaves a two-slot NT interval of 140; it must not be mistaken for one generation. The source person, insertion position and biographical measure remain distinct from the carrier width. (File 18 §4.2; File 43 §3.4; C1267,C1270.)

The Rounded head interface is similarly role-specific. LXX 5486, NT Adam 5256 and MT 4106 give the established 230|1150 division. Since the LXX Adam-to-Seth interval is 230, NT Adam shares a coordinate with Rounded LXX Seth. That does not identify their roles or produce a universal conversion of the full genealogy. No Moses or clutch coordinates are imported into this NT field. (File 54 §§2.1–2.2,8.1A; C1271–C1272.)

Toledot adds the distinction between counting and grouping. Eleven formula occurrences form ten major sections because Esau occupies occurrences 9 and 10 within one section. Terah, occurrence 6, has five occurrences on each side but five earlier and four later sections. Giving the Esau section weight two preserves the eleven-occurrence measure and Terah’s balance. It does not preserve every operation on the original list. Reflection pairs positions 9 and 10 with 3 and 2—Noah and Adam, still separate sections—so the grouped Esau section has no single reflected image. (File 70 Appendix B.1; C1023–C1028.)

The primary NT path supplies the positive grouping example. Its 77 seventy-year intervals divide into eleven complete 490-year blocks. Reflection reverses their order and preserves all twelve block boundaries. The separately displayed AD 65–135 extension remains outside that primary path. Together, these families show what a chronological interface must carry: labels and order for recovery, source conditions for allocation, measures for comparison, and compatible grouping for symmetry. Those retained structures explain both exact agreements and the information an agreement leaves unresolved. (File 43 §3.4; File 54 §8.6; C1029.)