This appendix supports Levi and the Priestly Year: How 336 and 360 Relate. It keeps the ordinary chronology, schematic calendar measures, and their interpretation distinct.
For the fuller chronological comparisons, see Levi, Priestly Cycles, and the Relationship between 336 and 360: A Detailed Study.
Tables and notes: Ordinary dates · Priestly roster · Ratios · Solar calibration · Source map
1. Ordinary MT dates and the 336-year interval
The main article uses the normal MT/Nisan framework: 430 years in Egypt, no +60 Terah adjustment, and no inserted second Cainan. All dates in the following tables are BC. Same-side spans are calculated by subtracting the later BC label from the earlier one.
File 18 §2.3 displays Levi in its minimum, 215-year-sojourn frame. Its stated +215 translation gives the normal full-430 biography; the Exodus remains fixed at 1446.
| Item | Minimum-frame datum | Normal full-430 calculation | Result |
|---|---|---|---|
| Levi’s birth | 1704 | 1704 + 215 | 1919 BC |
| Levi’s death | 1567 | 1567 + 215 | 1782 BC |
| Levi’s lifespan | 137 | 1919 − 1782 | 137 years |
| Exodus | 1446 | Fixed anchor | 1446 BC |
| Levi’s death → Exodus | — | 1782 − 1446 | 336 years |
| Levi’s death → Tabernacle erection | — | 1782 − 1445 | 337 years |
File 60 §1.3 explicitly retains Levi 1919–1782, and §§3.4–3.5 explicitly give 1782→1446 = 336 = 48 × 7. This supports the date used here without a new one-year correction or transformed biography.
The main article’s short Peleg comparison is calculated from the same normal MT framework:
| Interval | Calculation | Years |
|---|---|---|
| Peleg’s death → Levi’s death | 2118 − 1782 | 336 |
| Levi’s death → Exodus | 1782 − 1446 | 336 |
| Peleg’s death → Exodus | 2118 − 1446 | 672 = 2 × 336 |
Peleg’s normal biography, 2357–2118, follows File 18 §2.2’s minimum 2142–1903 plus 215. The two-span comparison is a transparent calculation from these established dates. It neither changes Peleg’s lifespan nor introduces a new Babel date.
The ordinary dates of Kohath’s and Amram’s births are not supplied here. Their lifespans do not determine successive birth intervals. File 18 §§1.3.1–1.3.2 identifies the absence of direct regular-date anchors; §6A separately supplies their cumulative lifespan coordinates. The approximate 130-year generation placements used in the older discussion therefore have no role in this date table.
2. The 24 courses and the schematic year
| Component | Derivation | Role |
|---|---|---|
| One course’s weekly unit | 7 days | Sabbath-to-Sabbath interval |
| One complete rotation | 24 × 7 = 168 days | All 24 courses counted once |
| Two complete rotations | 2 × 168 = 336 days | Schematic priestly year |
| Equivalent total | 48 × 7 = 336 days | 48 service weeks |
| Prophetic year | 12 × 30 = 360 days | Distinct monthly schematic measure |
| Enochian year | 52 × 7 = 364 days | Distinct weekly solar-liturgical measure |
1 Chronicles 24:1–19 supplies the 24 divisions and their order. Josephus, Antiquities 7.365, confirms the divisions and describes service from Sabbath to Sabbath. Whiston translates his inclusive boundary wording as “eight days”; the interval from one Sabbath boundary to the next is one seven-day week. The calculation counts weekly intervals, not an extra day for every change of course.
File 12 §6.3.1a also identifies 1 Chronicles 9:25, the Sabbath transitions in 2 Kings 11 and 2 Chronicles 23, Luke 1:5, rabbinic watch traditions, and the Qumran Mishmarot texts. The immediate context of 1 Chronicles 9:25 is gatekeeping; it should not bear the entire argument for the priestly weekly rotation by itself.
The 336-day year is the mathematical service-cycle ideal defined in File 12 §§6.3.1–6.3.2. Its use does not reconstruct every historical festival assignment. The related identity 336 + 4 × 7 = 364 gives a structural bridge to the Enochian year. Identifying those additional weeks with one universal historical roster mechanism would require further evidence. The main article needs only the underlying 24-course weekly count.
3. Two expansion ratios and their common measure
The starting chronological span is normal MT Creation to Flood: 4114 − 2458 = 1656 years. The following are schematic operations on that span.
| Operation | Exact calculation | Meaning |
|---|---|---|
| Priestly expansion | 1656 × 25/23 = 1800 | Count in the 336-day priestly measure |
| Prophetic expansion | 1656 × 70/69 = 1680 | Count in the 360-day prophetic measure |
| Priestly day total | 1800 × 336 = 604800 | Days in the schematic comparison |
| Prophetic day total | 1680 × 360 = 604800 | Same schematic day total |
| Prophetic count → priestly count | 1680 × 15/14 = 1800 | More of the shorter units |
| Priestly count → prophetic count | 1800 × 14/15 = 1680 | Fewer of the longer units |
| Small equivalent | 15 × 336 = 14 × 360 = 5040 | Basic 15:14 relationship |
The quotient of the two expansion ratios explains their relationship:
(25/23) ÷ (70/69) = 15/14 = 360/336.
Care is needed about what is being converted. The numerical unit-length 336 can be enlarged to 360 by multiplying by 15/14. When a fixed day total is expressed in 360-day rather than 336-day units, its count instead decreases by the inverse ratio 14/15.
The direct equality 336 × 15/14 = 360 is distinct from 336 × 25/23 = 8400/23 ≈ 365.217391. This corrects a recurring conflation in the older discussion. Neither operation, by itself, authorizes shifting the births and deaths in the ordinary MT table.
File 17 §14.1 supplies the priestly 1656→1800 expansion; File 18 §4A.4 supplies 1656→1680. File 11 §2.1 displays both. Its separately projected chronological coordinates use a declared 2456 fulcrum, which is not imported into this article’s ordinary 2458 Flood calculation.
4. Exact schematic equality and solar approximation
The equal day totals follow from a common reference value, K, defined in File 12 §5A.2 and File 00 §3.24.1:
336 × 25/23 = 360 × 70/69 = K = 8400/23.
Multiplying either side by 1656 gives the same 604800-day total. The agreement is built into the relationship between the measures; it is not two statistically independent demonstrations of a chronological design.
The separate calibrated solar reference is Sₖ = K + 1/40 days. Under that reference, 1656 × Sₖ = 604841.4 days, which exceeds the schematic total by 41.4 days. This explains why the exact schematic identities should not be described as an exact reconstruction of 1656 physical solar years.
Likewise, 25 × 336 = 8400 days approximates 23 solar years, not 25 solar years. The calendar approximation and the exact ratio identities serve related but distinct purposes. The main article confines its claim to the exact schematic relation and its chronological interpretation.
5. Controlling source sections
| Source | Sections used | Contribution |
|---|---|---|
| File 60 | §§1.3, 3.4–3.5 | Normal Levi biography and 336-year death-to-Exodus interval |
| File 18 | §§1.3.1–1.3.2, 2.2–2.4, 4A.4, 6A | Regular/cumulative distinction, date derivations, Peleg, fixed Exodus/Tabernacle dates, 1656→1680 |
| File 12 | §§5A.2, 6.3.1–6.3.2 | Common calibration, 24-course source map, 336-day definition and calendar distinctions |
| File 17 | §§14.1, 14.3 | 1656→1800 and the priestly service-cycle component |
| File 11 | §2.1 | Parallel expansion ratios; its projected date examples remain separately qualified |
| File 00 | §§3.1.1, 3.8a, 3.24.1 | Foundational calendar definitions and calibration controls |