Gann Square of Nine Calculator

Enter a starting number (like a stock’s price) to calculate potential support and resistance levels based on W.D. Gann’s principles.

Calculation Results

Square Root of Base Number

The table below shows potential support and resistance levels based on key angular rotations (Cardinal and Ordinal crosses) from your base number.

Support & Resistance Levels

Angle	Support Level	Resistance Level

Chart of calculated Gann levels.

What is the Gann Square of Nine Calculator?

The Gann Square of Nine is a mathematical tool developed by the legendary trader W.D. Gann. It’s not a typical calculator for everyday math; instead, it’s a price and time calculator for financial markets. The core idea is that market movements are not random but follow predictable geometric and harmonic patterns. The Gann Square of Nine calculator helps traders identify potential support and resistance levels, which are prices where a stock’s trend might pause or reverse.

This tool is used by technical analysts to forecast market turning points. By inputting a significant price—such as a recent high, low, or a major pivot—the calculator generates a series of price levels based on square root relationships and angular movements within a spiral of numbers. These generated levels are believed to be “vibrational” points where the market is likely to react.

Gann Square of Nine Formula and Explanation

The calculation at the heart of the Gann Square of Nine is based on the square root of the base number and its relationship to key angles. A full 360-degree rotation on the square is represented by adding or subtracting 2 from the square root of the number and then squaring the result.

The core formula is:

Price Level = (√Base ± Increment)²

The ‘Increment’ is determined by the angle of rotation. For example, a 90-degree move is 0.5 (360 degrees / 4 = 90 degrees, and 2 / 4 = 0.5). A 180-degree move corresponds to an increment of 1.0.

Formula Variables

Variable	Meaning	Unit (Auto-inferred)	Typical Range
Base	The starting price or number for analysis.	Price/Points	Any positive number
Increment	A value derived from the desired angle of rotation.	Unitless ratio	0.25 to 2.0+
Price Level	The calculated potential support or resistance.	Price/Points	Derived from calculation

Practical Examples

Example 1: Stock Trading at $150

Let’s say a stock has made a significant pivot at $150 and we want to find the next key levels using the Gann Square of Nine calculator.

• Input (Base): 150
• Calculation: The square root of 150 is approx. 12.247.
• Results (90-degree rotation):
  • Resistance: (12.247 + 0.5)² = 12.747² ≈ $162.49
  • Support: (12.247 – 0.5)² = 11.747² ≈ $138.00

This suggests that if the stock moves up from $150, it might face resistance near $162.49. If it moves down, it could find support around $138.00.

Example 2: Index at 4500

An index is trading at 4500. We want to identify the major 180-degree levels.

• Input (Base): 4500
• Calculation: The square root of 4500 is approx. 67.082.
• Results (180-degree rotation):
  • Resistance: (67.082 + 1.0)² = 68.082² ≈ 4635.16
  • Support: (67.082 – 1.0)² = 66.082² ≈ 4366.83

How to Use This Gann Square of Nine Calculator

1. Enter Base Number: Type a significant price into the “Base Number” field. This could be the previous day’s closing price, a recent swing high or low, or the current price.
2. Calculate: Click the “Calculate Levels” button.
3. Interpret Results: The calculator will display a table with potential support and resistance levels. These are prices where the market might react.
   • Resistance Levels: Prices above the base number. If the market approaches these levels from below, it may act as a ceiling.
   • Support Levels: Prices below the base number. If the market approaches these levels from above, it may act as a floor.
4. Visualize: The chart provides a visual representation of the calculated levels relative to the base number, helping you quickly see where the key zones are.

Key Factors That Affect Gann Square of Nine Analysis

• Volatility: In highly volatile markets, price can move through Gann levels more quickly.
• Correct Base Price: The effectiveness of the calculator depends heavily on choosing a significant starting price. Minor price points may not yield meaningful results.
• Timeframe: Gann levels can be applied to any timeframe, from intraday charts to weekly charts. The significance of the levels corresponds to the significance of the chosen base price’s timeframe.
• Market Context: Gann analysis should not be used in isolation. It’s most effective when combined with other forms of technical analysis, like trend lines, moving averages, or volume analysis. For more on this, see our guide on {related_keywords}.
• Confirmation: Always wait for price action to confirm a reaction at a Gann level before making a trading decision.
• Understanding It’s a Guide: The levels are zones of probability, not certainties. Think of them as a roadmap, not a crystal ball. Explore advanced strategies at {internal_links}.

Frequently Asked Questions (FAQ)

What number should I use as the base input?

Use a price that is significant to the market, such as a major high/low, a weekly/daily open/close, or the price at which a breakout occurred.

Are the values unitless?

Yes, the calculation itself is unitless. However, the input and output values represent price points or index values, so they carry the unit of whatever market you are analyzing (e.g., USD, EUR, Points).

How are the angles (45, 90, etc.) determined?

They represent geometric positions on the spiral square. The Cardinal Cross (90°, 180°, 270°, 360°) and Ordinal Cross (45°, 135°, 225°, 315°) are considered the most powerful angles for identifying major turning points.

Can this be used for cryptocurrency?

Yes, the Gann Square of Nine calculator can be applied to any freely traded market, including stocks, forex, commodities, and cryptocurrencies.

Is this calculator a guarantee of future prices?

No. It is a forecasting tool based on historical patterns and theories. It provides potential areas of interest and should be used as part of a comprehensive trading strategy, not as a standalone predictor.

Why does the formula use the square root?

Gann believed that markets moved in a non-linear fashion and that the relationship between price and time was often squared. Taking the square root “unwinds” this relationship, allowing for linear projections (by adding/subtracting increments) which are then “rewound” by squaring them again.

What is the difference between Cardinal and Ordinal cross levels?

Cardinal cross levels (90°, 180°, etc.) are generally considered stronger points of support and resistance than Ordinal cross levels (45°, 135°, etc.).

How do I combine this with other tools?

Look for confluence. If a Gann resistance level lines up with a 200-day moving average and a major trendline, that area becomes a much more significant zone to watch. Check our resources on {related_keywords} for more ideas.