📖Planar Tension Catalyst Compatibility By Race

planar_tension_catalyst_compatibility_by_race_table

Race

Compatibility Rate

Fraction

Ikor

0.0113

1 in 88

Drakai

0.00894

1 in 112

Dragon

0.0078

1 in 128

Garai

0.00512

1 in 195

Drakash

0.00482

1 in 207

Shakai

0.00467

1 in 214

Gobai

0.00458

1 in 218

Dragar

0.00389

1 in 257

Garont

0.00147

1 in 680

Shagar

0.000731

1 in 1,368

Gobgar

0.000687

1 in 1,456

Shakor

0.000189

1 in 5,291

Gobshak

0.0000723

1 in 13,831

Goblin

0.0000134

1 in 74,627

Pattern Recognition

Initial analysis revealed that mixed-race compatibility rates did not follow simple arithmetic means or geometric progressions. For example:

  • Drakash (Dragon 0.0078 + Shakor 0.000189): Observed rate 0.00476, not 0.00399 (arithmetic mean)

  • Shagar (Shakor 0.000189 + Garont 0.00147): Observed rate 0.000958, not 0.000830 (arithmetic mean)

Researchers then tested weighted models based on observed chromosomal dominance patterns. The 60/40 split (dominant parent 60%, recessive parent 40%) produced the closest fit across all documented mixed-race cases, with a correlation coefficient of 0.94.

Calculation Examples

Using the established chromosomal dominance hierarchy:

Drakash (Dragon + Shakor):

  • Dragon is dominant: 0.6 × 0.0078 = 0.00468

  • Shakor is recessive: 0.4 × 0.000189 = 0.0000756

  • Total: 0.00476 (observed: 0.00482, variance: 1.3%)

Shagar (Shakor + Garont):

  • Garont is dominant: 0.6 × 0.00147 = 0.000882

  • Shakor is recessive: 0.4 × 0.000189 = 0.0000756

  • Total: 0.000958 (observed: 0.000731, variance: 23.7%)

Garai (Garont + Ikor):

  • Garont is dominant: 0.6 × 0.00147 = 0.000882

  • Ikor is recessive: 0.4 × 0.0113 = 0.00452

  • Total: 0.00540 (observed: 0.00512, variance: 5.2%)

This hierarchy correlates with observed compatibility rates and explains why certain mixed-race combinations (e.g., Garai = Garont + Ikor) show significantly higher compatibility than their arithmetic mean would predict.

Validation

The formula was validated against 23 additional mixed-race cases documented after 1289 AC. All cases fell within 25% of the predicted value, confirming the model's accuracy for standard first-generation hybrids.

Limitations

The formula does not account for:

  • Second-generation or higher mixed-race individuals (e.g., Garai + Shakai offspring)

  • Rare genetic mutations that override chromosomal dominance

  • Environmental factors during gestation that may affect Eidos Node development

  • Cross-dimensional variations in compatibility expression

  • Statistical variance in small sample sizes (particularly for rare combinations like Gobshak)

AIR continues to collect data on these edge cases to refine the model.