Professional Precision Composite Chart Calculation
Numji's Composite Chart calculation infrastructure was benchmarked against astronomical references and independent geometric controls across 250 couple cases generated from diverse birth dates, times, geographic locations, and house systems. A total of 46,821 results were evaluated for midpoints, composite houses, placements, and internal chart aspects.
Circular midpoints, composite axes, house cusps, planetary house placements, movement directions, major aspect types, and orb values passed all defined acceptance criteria. One result was reviewed separately as it was extremely close to a natural orb boundary; no failures were found.
Validated Composite Chart Calculations
Primary result groups of the astronomical and geometric layer generating a joint relationship chart from two natal charts.
CIRCULAR MIDPOINTS
Short-arc midpoints of corresponding planets and special points, including 0°/360° transitions and the exact 180° opposition rule, were independently recalculated.
COMPOSITE AXES AND HOUSES
ASC, MC, DSC, IC, and the twelve composite house cusps were checked alongside zodiacal order, opposite-house symmetry, and high-latitude Placidus cases.
PLACEMENTS AND MOTION
House placements of composite indicators, average daily speeds of the two natal charts, and corresponding direct, retrograde, or stationary classifications were validated.
COMPOSITE CHART ASPECTS
Major aspect types, actual angular distances, and indicator-specific orb limits within the composite chart were compared using independent geometry.
Validation Results
Numerical distribution of tested calculation groups. The natural orb boundary case was evaluated separately and was not classified as a failure.
| Calculation Group | Comparisons | Passed | Boundary Review | Result |
|---|---|---|---|---|
| Composite house cusps and axes | 4,000 | 4,000 | 0 | Passed |
| Opposite-house symmetry and house ordering | 1,750 | 1,750 | 0 | Passed |
| Composite planetary midpoints | 3,250 | 3,250 | 0 | Passed |
| Average daily speed | 3,250 | 3,250 | 0 | Passed |
| Direct, retrograde, and stationary classification | 6,500 | 6,500 | 0 | Passed |
| House placements of composite planets | 3,250 | 3,250 | 0 | Passed |
| Special point midpoints and house placements | 2,000 | 2,000 | 0 | Passed |
| Composite aspect types | 3,911 | 3,910 | 1 | Reviewed |
| Composite aspect orb values | 3,910 | 3,910 | 0 | Passed |
| Person order invariance | 7,500 | 7,500 | 0 | Passed |
| Independent re-test control | 7,500 | 7,500 | 0 | Passed |
| Total | 46,821 | 46,820 | 1 | Passed |
Featured Precision Results
Summary of average and maximum deviations observed across the test suite.
| Metric | Average Deviation | Maximum Deviation | Evaluation | Result |
|---|---|---|---|---|
| Composite planet positions | 0.000880° | 0.017363° | Within acceptance criteria | Passed |
| Composite house cusps | 0.001639° | 0.014364° | Within acceptance criteria | Passed |
| Composite axes | 0.001679° | 0.014364° | Within acceptance criteria | Passed |
| Composite aspect orbs | 0.001550° | 0.020000° | Within acceptance criteria | Passed |
| Average daily speed | 0.000296°/day | 0.008756°/day | Within acceptance criteria | Passed |
| Chiron midpoints | 0.00000074° | 0.00003975° | 250/250 compliant | Passed |
| Moon midpoints | 0.008300° | 0.017363° | 250/250 compliant | Passed |
| Lunar Node midpoints | 0.000083° | 0.000314° | 500/500 compliant | Passed |
Why Did the Boundary Case Occur?
In cases where an astronomical value is extremely close to a classification boundary, minute numerical differences can result in a different membership label.
MOON–MERCURY SQUARE ORB THRESHOLD
In case CP-147, the Composite Moon–Mercury square was located just 0.00142° away from the orb threshold. Numji classified the aspect within the limit, whereas the reference calculation placed it just outside.
NUMERICAL BASE COMPLIANT
Planetary midpoints and actual angular distances were well within acceptance criteria. The separate review pertains solely to the boundary membership label and does not constitute a calculation error.
Test Methodology
The goal was to base results not on a single relationship chart, but on broad temporal, geographic, and computational diversity.
SCOPE
- 250 distinct couple cases
- Birth dates ranging from 1900 to 2100
- Diverse times, geographic locations, and house systems
- Total of 46,821 comparisons
INDEPENDENT CONTROLS
- Cross-verification against astronomical reference data
- Recalculation of circular midpoints
- Independent generation of house placements and aspect geometry
- Person-order and repeatability consistency checks
HIGH-LATITUDE REGRESSION
The Placidus case for Reykjavik at 64.15° latitude was tracked separately. All twelve house cusps were generated in correct sequence and matched reference values within acceptance criteria.
INDEPENDENT CALCULATION
Reference sources were used solely for validation purposes. Numji's production calculations run on its own calculation engine without depending on the validation tool.
What Does This Result Mean for the Astrologer?
The shared planetary degrees, axes, houses, placements, and internal chart aspects on which Composite Chart interpretations rely are delivered through a calculation engine verified against an extensive numerical benchmark. Input order of individuals does not alter results; recalculating identical data yields identical charts. This allows astrologers to focus on evaluating the joint relational dynamics holistically rather than worrying about technical accuracy.