Gann Square of 9 Calculator

Calculation Results

Gann Square Visualization

Key Levels Table

Key Price/Time Levels

Level Type	Value	Description
Center	N/A	The starting point of the square.
Cardinal	N/A	Levels 90°, 180°, 270° from center.
Intercardinal	N/A	Levels 45°, 135°, 225°, 315° from center.
Degree Angle	N/A	Levels based on the specified degree.
Primary Output	N/A	The main calculated output.

What is the Gann Square of 9?

The Gann Square of 9, often simply called the Square of 9, is a powerful and intricate technical analysis tool developed by W.D. Gann. It’s not a typical calculator in the financial sense but rather a geometric and mathematical system used to identify potential price support and resistance levels, as well as time turning points in financial markets. The core principle behind the Square of 9 is the relationship between price and time, suggesting that these two elements are intrinsically linked and repeat in predictable patterns.

Traders and analysts use the Square of 9 to forecast future market movements by overlaying specific price or time points onto its unique numerical grid. It’s particularly favored by those who believe in Gann’s theories about market cycles and the influence of mathematical and geometrical principles on price action. Misunderstandings often arise because the tool requires a specific approach to inputting data and interpreting the resulting levels, which can seem abstract compared to simpler charting techniques.

Gann Square of 9 Formula and Explanation

The Gann Square of 9 is based on a spiral arrangement of numbers, starting with ‘1’ at the center and expanding outwards. The “9” in the name typically refers to the size of the square (9×9 grid), though Gann used various sizes. The fundamental mathematical relationships within the Square of 9 are derived from squaring numbers and analyzing their relationship to specific angles and degrees, which represent time and price relationships.

Core Calculation Logic:

The calculator here simplifies the process by working backward or forward from a given ‘pivot’ value (either a price or a time-based number). The key is understanding the relationships to the center of the square and specific angular points.

• Pivot Value: The starting point for the analysis. This can be a significant price (e.g., a high, low, or closing price) or a significant date converted into a numerical sequence (e.g., number of days from a historical point).
• Square Size: Usually 9, indicating the number of numbers along each axis of the square from the center to the edge. This determines the spacing of the levels.
• Square Root of Pivot: The geometric center of the square often corresponds to the square root of the pivot value, especially when dealing with price.
• Center of Square: The numerical value at the center of the square. If the pivot value is a perfect square, its square root is the center. Otherwise, it’s the nearest integer to the square root.
• Cardinal Levels: These are levels aligned with the main axes (horizontal and vertical) of the square. They typically represent increments of 90 degrees from the center. These are found by adding or subtracting multiples of the square root of the pivot value from the center.
• Intercardinal Levels: These levels lie on the diagonal lines, representing increments of 45 degrees.
• Degree Angle Levels: Gann believed specific angles (like 45°, 90°, 180°, 360°) had significance. This calculator allows inputting a specific degree to find corresponding levels.

Variables Table

Gann Square of 9 Variables

Variable	Meaning	Unit	Typical Range
Pivot Value	Starting price or time value for analysis.	Price (e.g., USD, EUR) or Unitless (Time)	Market dependent (e.g., 1000 – 50000 for stocks, 1 – 365 for days)
Analysis Type	Determines if output levels relate to price or time.	Unitless	Price, Time
Square Size	The dimension of the square grid (e.g., 9×9).	Unitless	Typically 9
Square Root of Pivot	Mathematical center for price analysis.	Unitless	Positive real number
Center of Square	The numerical value at the square’s origin.	Price or Unitless (Time)	Reflects Pivot Value
Cardinal Levels	Key horizontal/vertical price/time points.	Price or Unitless (Time)	Derived from Center & Square Root
Intercardinal Levels	Key diagonal price/time points.	Price or Unitless (Time)	Derived from Center & Square Root
Degree Angle	Specific angle for advanced level calculation.	Degrees	0 – 360

Practical Examples

Let’s illustrate with practical examples using the Gann Square of 9 Calculator.

Example 1: Price Analysis of a Stock

Imagine a stock, XYZ, closed at $150. We want to find potential support and resistance levels using the Square of 9 with a standard 9×9 grid.

• Inputs:
• Pivot Value: 150
• Analysis Type: Price Analysis
• Square Size: 9
• Degree of Angle: (Blank)
• Pivot Value (Optional): (Blank – uses 150 as pivot)

Expected Outputs:

• Square Root of Pivot: ~12.25
• Center of Square: 150 (since 12^2=144, 13^2=169, 150 is between these, the calculator may use 12 or 13 as base for levels)
• Key Price Levels (Cardinal): Around 108, 192 (90°), 75, 225 (180°), 42, 258 (270°)
• Key Price Levels (Intercardinal): Around 96, 132 (45°), 120, 180 (135°), etc.
• Primary Output: The calculator will highlight significant levels derived from these calculations, e.g., $150 (center), $180 (135°), $192 (90°), $144 (near center).

Example 2: Time Analysis using Date Value

Suppose we identify a significant historical low occurred on day 500 (counting from a specific start date). We want to find potential future time turning points using the Square of 9.

• Inputs:
• Pivot Value: 500
• Analysis Type: Time Analysis
• Square Size: 9
• Degree of Angle: (Blank)
• Pivot Value (Optional): (Blank – uses 500 as pivot)

Expected Outputs:

• Square Root of Pivot: ~22.36
• Center of Square: 500
• Key Time Levels (Cardinal): Around 410, 590 (90°), 325, 675 (180°), 210, 790 (270°)
• Key Time Levels (Intercardinal): Around 450, 550 (45°), 500, 500 (135°), etc.
• Primary Output: The calculator will highlight significant time points like day 500 (center), day 590 (90°), day 410 (270°), day 550 (45°).

How to Use This Gann Square of 9 Calculator

Using this calculator is straightforward, but understanding the inputs is key to deriving meaningful insights.

1. Enter the Pivot Value: Input the primary price (e.g., $150.00) or time value (e.g., 500) you want to analyze. This is the foundation of your Square of 9 calculation.
2. Select Analysis Type: Choose “Price Analysis” if your pivot value is a market price, or “Time Analysis” if it represents a point in time (like a day count). This tells the calculator how to interpret the output levels.
3. Set Square Size: For most standard Gann analysis, keep this at 9. Gann sometimes used other sizes, but 9 is the most common.
4. (Optional) Enter Degree of Angle: If you’re looking for levels along specific geometric angles (e.g., 45°, 90°), input the degree here. Leave it blank for the standard cardinal and intercardinal levels.
5. (Optional) Enter Pivot Value: This allows you to anchor the Square of 9 calculation to a specific value different from the main pivot. For standard use, leave this blank.
6. Click “Calculate”: The calculator will instantly provide the derived key levels.
7. Interpret Results: The outputs show significant price or time points where market action might change.
8. Use the Chart and Table: Visualize the levels on the generated chart and review the detailed table for clarity.
9. Copy Results: Use the “Copy Results” button to easily transfer the findings.

When selecting units, ensure consistency. If your pivot is in USD, the price levels will be in USD. If your pivot is a day count, the time levels will be day counts.

Key Factors That Affect Gann Square of 9 Analysis

Several factors influence the effectiveness and interpretation of the Gann Square of 9:

1. Choice of Pivot Value: The significance of the starting price or time point is crucial. Using major highs, lows, or opening prices often yields better results than arbitrary points.
2. Market Trend: The Square of 9 is generally considered more effective in trending markets. Its predictive power in highly volatile or sideways markets might be reduced.
3. Time Frame: The analysis can be applied to any time frame (intraday, daily, weekly, monthly), but the significance of the pivot value must match the time frame. A daily low will have different implications than a monthly low.
4. Square Size Selection: While 9 is standard, Gann used other square sizes (e.g., 4, 8, 16). Different sizes highlight different cyclical patterns and levels.
5. Conversion of Dates: When performing time analysis, how dates are converted into numerical values (e.g., days since IPO, days since a major event) can impact the results.
6. Geometrical Interpretation: Understanding Gann’s theories about geometry and his specific application of angles is vital for a deeper interpretation beyond just numerical levels.
7. Market Context: The Square of 9 should not be used in isolation. It’s most powerful when combined with other technical indicators and fundamental analysis.
8. Psychology of Numbers: Gann believed numbers held inherent vibrational qualities that influenced markets. This philosophical underpinning is essential to his methodology.

FAQ

Q1: Is the Gann Square of 9 a predictive tool?

A1: Yes, W.D. Gann considered it a predictive tool based on the mathematical and geometrical relationships between price and time. However, its accuracy depends heavily on the skill of the user and the chosen pivot point.

Q2: Can I use any price or date as a pivot?

A2: While you can use any value, Gann emphasized using significant price points (major tops, bottoms, opening prices) or significant dates (start of a trend, major economic events) for more reliable results.

Q3: What’s the difference between Price and Time Analysis?

A3: Price Analysis uses a price as the pivot to find related price levels (support/resistance). Time Analysis uses a time value (like day count) to find potential future turning points in time.

Q4: Why is the Square of 9 usually 9×9?

A4: The number 9 is considered a significant number in numerology and Gann’s work. A 9×9 square allows for a balanced expansion of numbers, representing key angles like 45°, 90°, 180°, and 360° when visualized.

Q5: How do I convert a date to a number for Time Analysis?

A5: Common methods include counting the number of days from a significant historical event (like an IPO date or a previous major low) or using a Julian Day number. Consistency is key.

Q6: What if the pivot value is not a perfect square?

A6: Gann’s methodology handles this. The calculator calculates the square root and finds the nearest integers or uses the pivot value directly as the center for certain calculations, especially with odd-numbered squares.

Q7: Can I use this calculator for cryptocurrencies or forex?

A7: Yes, the principles of the Gann Square of 9 apply to any market that exhibits price and time relationships, including cryptocurrencies, forex, commodities, and stocks.

Q8: How are the Degree Angle levels calculated?

A8: These are calculated by finding the price or time value that corresponds to a specific angle on the geometric representation of the Square of 9, relative to the center pivot.