Comprehensive and Consistent Arabic Parts Analysis
The Arabic Parts Analysis infrastructure of the Numji Astrology Engine was tested across 250 test cases spanning the 1900–2100 period, generated with various birth locations and four house systems. A total of 4,265 checks were performed, covering diurnal and nocturnal formulas for the Seven Hermetic Lots, house and ruler placements, natal contacts, and interpretation chains.
Sect-aligned formulas for the Lots of Fortune, Spirit, Eros, Necessity, Courage, Victory, and Nemesis were tested alongside sign, house, traditional ruler, natal planet, and axis contacts, proving fully consistent with expected results across all test cases.
Validated Arabic Parts Calculations
Primary result groups of the calculation and analysis chain based on the Paulus Alexandrinus / Olympiodorus tradition.
SEVEN HERMETIC LOTS
The Lots of Fortune, Spirit, Eros, Necessity, Courage, Victory, and Nemesis were independently recalculated using their respective formulas for day and night charts.
SIGN, HOUSE, AND RULER
Longitude normalization from 0° to 360°, sign position, house placement, and the traditional ruling planet of the sign were validated across four different house systems for each lot.
CALCULATION TRACE AND DEPENDENCIES
Raw formula values, normalization steps, and dependency chains for lots derived from the Lot of Fortune or Spirit were verified one-to-one.
LOT–NATAL CONTACTS
Major aspects formed by the seven lots to 10 natal planets and the ASC–DSC / MC–IC axes were validated, including target aspect, orb, sorting, and tight-orb behavior.
Validation Results
Success distribution of control groups applied across 250 test cases.
| Control Group | Checks | Passed | Failed | Result |
|---|---|---|---|---|
| Metadata, natal chart, sect, and tradition | 1,000 | 1,000 | 0 | Passed |
| Lot order, formulas, normalization, trace, and dependencies | 1,500 | 1,500 | 0 | Passed |
| Mathematical chart points and rulers | 500 | 500 | 0 | Passed |
| Natal contacts, orb, and sorting | 750 | 750 | 0 | Passed |
| Interpretation limit and deterministic result | 500 | 500 | 0 | Passed |
| Day/night case coverage | 1 | 1 | 0 | Passed |
| Invalid input protections | 14 | 14 | 0 | Passed |
| Total | 4,265 | 4,265 | 0 | Passed |
Featured Validation Results
Evaluation of lot calculations against independent recalculation and internal engine consistency criteria.
| Metric | Applied Criterion | Observed Result | Result |
|---|---|---|---|
| Day and night lot formulas | Independent recalculation of seven formulas | Exact Match | Passed |
| Fortune and Spirit sect inversion | Circular symmetry around the ASC | Valid for All Cases | Passed |
| Sign, house, and traditional ruler | Direct recalculation | Exact Match | Passed |
| Natal planet and axis contacts | Recalculation of major aspects and orbs | Exact Match | Passed |
| Repeatable calculations | Identical output for identical input | Deterministic | Passed |
Test Methodology
Wide temporal and geographical distribution, four house systems, and independent mathematical controls were applied together.
SCOPE
- Supported date range from 1900 to 2100
- 250 distinct Arabic Parts Analysis cases
- Diurnal and nocturnal charts
- Total of 4,265 validation checks
HOUSE SYSTEMS
House placements for the lots were tested separately under Placidus, Equal, Whole Sign, and Porphyry systems. House cusps and ASC data were verified against main natal chart calculations.
TIME AND LOCATION DISTRIBUTION
- Northern and Southern Hemisphere locations
- Test offsets ranging from -5 to +10 hours
- Diverse latitudes and longitudes
- Day/night sect division
DEFENSIVE VALIDATION
Inputs with invalid coordinates, UTC offsets, orbs, interpretation limits, missing planetary and house data, and NaN values were tested; it was confirmed that the engine rejects these inputs before calculation starts.
What Does This Result Mean for the Astrologer?
It verifies through an extensive validation chain that the Seven Hermetic Lots are calculated with the correct sect formulas, and that sign, house, ruling planet, and natal contact information are produced consistently. This allows astrologers to focus on the symbolic meaning and interconnected themes of the points on the chart rather than reconstructing mathematical calculation steps.