GANN THEORY.

Gann is the most polarising name in technical analysis. His followers treat him as a prophet. His critics treat him as a numerologist. Both are partly right. This lesson is the only place in the entire 62-lesson curriculum where we teach a method by explicitly separating its useful component from its folklore.

What Gann theory actually is

William Delbert Gann (1878–1955) was a stock and commodity trader active from roughly 1908 until his death. He claimed extraordinary returns, wrote extensively, and developed a system that tried to describe markets using geometry, time, and number theory.

His core idea was that price and time are the same thing measured in different units. When price and time come into balance — when a move in price takes the same "amount" of time as the amount of price moved — a turning point is due. This is the foundation of the 1x1 angle. It is also the foundation of everything else he built.

Gann's system has four main components:

• Angles — geometric lines drawn from pivots at specific price/time ratios.
• The Gann fan — multiple angles from one pivot, creating a fan.
• Time cycles — the idea that markets pivot on regular intervals (30 days, 90 days, 144 days, and so on).
• Numerical squares — the Square of Nine, Square of 144, and the circle of 360, all used to project future price levels from past prices.

The first two are geometrically honest. The second two are not. This lesson will show you why.

The Gann angle system

The Gann angle system is simple in principle. From any pivot point (a swing low for an uptrend, a swing high for a downtrend), you draw lines at fixed slopes. Each slope is expressed as a ratio of price units to time units:

The 1x1 line is the reference. Above the 1x1 in an uptrend = strong trend. Below it = weak trend. Gann taught that when price breaks the 1x1 line, the trend is changing character — the same way a break of a classical trendline changes character, but with a geometrically defined slope.

The Gann fan — the useful part

The Gann fan is what you get when you draw multiple angles from a single pivot. In practice, the fan behaves like a set of dynamic trendlines that converge at the pivot and spread out over time.

Practical uses:

• The 1x1 line acts as a trend continuation filter. In an uptrend, as long as price stays above the rising 1x1 line, the trend is intact.
• Fan lines act as dynamic support and resistance. Price frequently reacts at the 1x2, 1x1, or 2x1 line the same way it reacts at a horizontal level.
• The fan gives you a "slope reference." When price is steeper than the 1x1, the trend is aggressive. When it flattens below the 1x1, the trend is losing momentum.
• Fan line breaks are warnings. A break of the 1x1 in an uptrend, followed by a failure to reclaim, is a change-of-character signal.

Time cycles — the interesting part

Gann believed markets pivot on regular time intervals. His followers use intervals like 30, 45, 60, 90, 120, 144 and 360 days — the same numbers that appear in the Square of Nine — and look for turning points at those intervals.

The idea is partly defensible. Markets do show evidence of cyclical behaviour at certain intervals, partly because of calendar effects (month-end, quarter-end), partly because of reporting cycles, and partly because of herding.

But the specific Gann intervals have never been validated. A 90-day cycle on the S&P 500 is a real, well-documented phenomenon (see the presidential cycle literature and quarterly rebalancing effects). A 144-day Gann cycle on EURUSD is not.

Square of Nine — the controversial part

The Square of Nine is a spiral of numbers. You start with 1 in the centre and spiral outward, one number per cell, filling a square grid. Numbers that sit on the same diagonal or cardinal direction from the centre are considered "related."

Here is what a small one looks like:

Gann traders use the Square of Nine to project future price levels from past pivots. The idea is that if you take the price at a pivot and rotate it around the spiral by a certain angle (90 degrees, 180 degrees, 360 degrees), you arrive at a "natural" level where the next pivot should occur.

There is no statistical validation for this. No peer-reviewed study has shown that Square of Nine levels are more predictive than random. Anyone who tells you otherwise is either selling something, or has not tested it rigorously.

The honest assessment

Time to say the quiet part out loud. Gann is the most oversold methodology in retail trading. Here is the honest breakdown:

The pattern is clear. Anything geometric is defensible. Anything numerical is not. The Gann fan works because it describes real market behaviour (price trending at a consistent slope). The Square of Nine fails because it describes nothing.

How to use the useful parts

If you are going to use anything from Gann, use these four things. And only these four things.

The lesson is not subtle. Gann angles without proper chart scaling are worthless. Before you draw a single line, make sure one unit of price on the y-axis equals one unit of time on the x-axis. If it does not, the fan is fiction.

When this fails