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Market Harmonics

Fractal Trading with Constitutional Constraints

Beta

Sustainable Alpha Through Constitutional Constraints

Market Harmonics detects fractal patterns (Elliott Wave, Fibonacci, Gartley) across 14-day windows, validates them using chaos theory (Lyapunov exponent), and applies constitutional position sizing via Aparigraha (non-greed, 2% max position).

In our demo, NZX50 analysis shows 72% bullish signal strength, which naively suggests a 5% position. But Aparigraha caps it at 2%β€”and in one case study, this constraint prevented a -1.9% loss when AIR.NZ dropped 3.8% despite bullish fractals. Markets reward patience, not greed.

Fractal Patterns Detected

Elliott Wave

82% confidence

Wave 5 completion target: 12,150

Fibonacci Retracement

78% confidence

0.618 support at 11,720

Gartley Harmonic

71% confidence

Point D completion at 11,820

Chaos Theory Validation

Lyapunov exponent Ξ»=0.18 indicates weakly chaotic system with 3-5 day predictability window. Patterns are validated only within chaos attractor bounds.

Track Record

Portfolio Return (14D)
+6.2%
Win Rate
68%
Max Drawdown
1.9%
Aparigraha Saves
42
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⚠️ Risk Warning

Past performance is not indicative of future results. Fractal trading involves substantial risk. The 2% Aparigraha constraint is designed to prevent catastrophic losses, but losses are still possible. Only trade with capital you can afford to lose. This is not financial advice. Consult a licensed financial advisor.