What is the golden ratio in Elliott Wave?
The golden ratio in Elliott Wave is 1.618 (and its inverse 0.618, or 61.8%). It governs the typical relationship between waves: Wave 2 most commonly retraces 61.8% of Wave 1, and Wave 3 most commonly extends 1.618× the length of Wave 1.
Full Explanation
The golden ratio, denoted by the Greek letter phi (φ), is a mathematical constant equal to approximately 1.61803. Its inverse, 0.618, shows up across nature — in the spiral of a nautilus shell, the arrangement of leaves on a stem, the proportions of the human face. Ralph Nelson Elliott incorporated Fibonacci ratios (which converge to the golden ratio) into the wave principle because he observed these same proportions in market price movements. In practice: Wave 2 most commonly retraces 0.618 (61.8%) of Wave 1's length. Wave 3 most commonly extends to 1.618× Wave 1 measured from the Wave 2 low. Wave 4 typically retraces 0.382 (38.2%) of Wave 3 — also a Fibonacci-derived ratio. The 0.618 retracement zone is the single most-watched Fibonacci level in technical analysis.
- → Elliott Wave Theory Guide — the 5-3 pattern, rules, Fibonacci, wave degrees
- → How to Count Elliott Waves — 6-step process used on 108 instruments
- → Elliott Wave Fibonacci Guide — the 7 core ratios and how they're applied
- → Rules and Guidelines — the 3 absolute rules + 7 guidelines
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