Inputs and outputs
The calculator needs two values: a reference price (for example a closing price or a significant swing point) and a price increment, which sets the size of each step. A summary strip repeats the reference price, increment, method and rotations. The Advanced controls button lets you switch between the Gann Angles and Square of 9 methods, choose the number of rotations (1 to 6, used by the Square of 9 view) and set the spiral direction to clockwise or counterclockwise. Tabs for Gann Angles, Square of 9 and Gann Theory switch between the output views and a short explanation.
- Gann angles: a table of levels above and below the reference price.
- Square of 9: a grid built around the reference price, with the cells that matter highlighted.
- Stair-step levels: four resistance and four support levels, plus buy and sell reference lines at the starting price.
- Fibonacci projections: levels above and below the reference price scaled by common Fibonacci ratios.
How the angle levels are calculated
In this tool each 45-degree step corresponds to one price increment. Starting from the reference price, the levels above are the price plus 1, 2, 3 and so on up to 8 increments, labelled 45, 90, 135 degrees up to 360. The levels below mirror them by subtracting. The table has Support, Resistance and Reference columns, and the 90-degree level, two increments away, carries the reference label Major level while the others are labelled Level.
| Angle | Level above | Level below |
|---|---|---|
| 45 degrees | 105 | 95 |
| 90 degrees (Major level) | 110 | 90 |
| 135 degrees | 115 | 85 |
| 180 degrees | 120 | 80 |
| 360 degrees | 140 | 60 |
The stair-step levels use the same increment: resistance at the price plus 1, 2, 2.5 and 3 increments, and support at the price minus the same multiples. The half-step multiple (2.5) is a deliberate feature of the tool's ladder.
The Square of 9 grid and Fibonacci projections
The Square of 9 view lays prices out on a spiral grid around the reference price. The cardinal and diagonal lines through the centre are coloured to mark the levels Gann practitioners watch, and cells whose value is a perfect square or a Fibonacci-related number are flagged as special. More rotations extend the grid further from the starting price.
The Fibonacci projections scale the reference price by the ratios 0.236, 0.382, 0.5, 0.618, 0.786, 1.0, 1.272, 1.618, 2.0, 2.618 and 4.236, both upward (price x (1 + ratio)) and downward (price x (1 - ratio)). These are percentage projections of the starting price, not retracements of a swing; for swing retracements use the Elliott Wave cluster calculator.
Using the levels sensibly
- Choose a meaningful reference price, such as a major swing high or low or a recent close, and write down why you chose it.
- Set an increment that matches the instrument's typical movement. A tiny increment on a high-priced index gives a cluttered ladder.
- Start with the Gann Angles view and note the levels nearest the current price.
- Switch to Square of 9 and check whether highlighted cells line up with the same levels.
- Treat overlaps with other references, such as prior highs, pivot levels or round numbers, as the levels worth watching, and wait for price to react before acting.
Limits
Gann methods are a charting convention. The levels are arithmetic from the numbers you enter and carry no information about volume, news or the instrument itself. They are not forecasts, and there is no guarantee that price will react at any of them.
If many traders watch the same level, price may react there, and that is the most practical reason to know where these levels sit. But the same arithmetic applied to a different reference price or increment gives different levels, so a level that disappears when you change a reference point was never a hard boundary. Always pair a Gann level with price action and risk management.