Fibonacci Ratios: Wave 5 Extension

2026.05.09

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Ratio Relationships: Wave 5 Extension Case is an Elliott Wave guideline showing the ratio relationships when wave 5 of an impulse extends. The target for wave 5 is 1.618× the size from the start of wave 1 to the end of wave 3.

Overview

When wave 5 of an impulse extends, the size of wave 5 targets 1.618× the size from the start of wave 1 to the end of wave 3.

Unlike the wave 3 extension type, the wave 5 extension type is characterized by relatively modest waves 1 and 3, with the final wave 5 extending greatly. The reference is the overall rise from the start of wave 1 to the end of wave 3, and 1.618× that amount is the target for wave 5.

The entire wave 5 extension impulse also tends to be divided at the end of wave 4 in the golden ratio. Unlike the standard type (no wave 5 extension), the upper portion is 0.618 and the lower portion is 0.382 — reversed vertically.

Illustrated Chart

Wave 5 extension = (Wave 1 start to Wave 3 end) × 1.618 — Click to expand
1.000 1.618 S 1 2 3 4 5 Wave 5 = (Wave 1 start to Wave 3 end, 1.000) × 1.618
With the distance from the start of wave 1 to the end of wave 3 as the reference (1.000), the target size for wave 5 (wave 4 end to wave 5 end) is 1.618×. The large final rise from wave 5’s extension is the hallmark of the wave 5 extension impulse.
Count verification: Wave 5 extension’s golden-ratio division at wave 4 end (upper 0.618 / lower 0.382) — Click to expand
S 1 2 3 4 5 0.618 0.382 Wave 5 extension: upper 0.618 / lower 0.382 division
The entire wave 5 extension impulse tends to be divided at the end of wave 4 in the golden ratio of upper 0.618 / lower 0.382. The vertical reversal from the standard type (upper 0.382 / lower 0.618) is the hallmark. A useful clue for identifying wave 5 extension during count verification.
How to read the diagrams: ① compares with dimension lines how wave 5 targets 1.618× the (wave 1 start to wave 3 end) range. ② shows how the wave 5 extension impulse is divided in the golden ratio at the end of wave 4.

Detailed Points

  1. Wave 5 target: (Wave 1 start to Wave 3 end) × 1.618

    In the wave 5 extension type, with the rise from the start of wave 1 to the end of wave 3 as the reference, the target for wave 5’s size is 1.618× that amount.

  2. The entire impulse tends to be divided in the golden ratio (0.382:0.618) at the end of wave 4

    The entire wave 5 extension impulse tends to be divided in the golden ratio at the end of wave 4. When wave 5 extends, the ratio is upper 0.618 / lower 0.382.

Ratio Relationships (Fibonacci)
The tendency for subwaves within the same wave to be in Fibonacci ratio relationships. A guideline still under study.
Ratio Relationships: Wave 3 Extension Case
The size of wave 3 typically targets 1.618×, 2.618×, or 4.236× wave 1.

Summary

Ratio Relationships: Wave 5 Extension Case is a guideline showing the ratio relationships when wave 5 of an impulse extends.

The size of wave 5 targets 1.618× the size from the start of wave 1 to the end of wave 3. The entire impulse also tends to be divided in the golden ratio at the end of wave 4 — when wave 5 extends, the ratio is reversed from the standard type to “upper 0.618 / lower 0.382.” These guidelines are important indicators for identifying wave 5 extension.

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