The Gann Square of 144 (also known as the "Master Square") is a technical analysis tool that aligns price and time to forecast market reversals and trend changes. Based on the mathematical square of 12 (
), it serves as a "road map" for identifying future support and resistance levels through harmonic proportions. Core Mathematical Foundation
Vibrational Base: The number 144 is considered a "master number" by W.D. Gann, linked to the Jupiter cycle (approx. 12 Earth years).
Geometric Divisions: The square is divided into key harmonic levels—halves, thirds, quarters, and eights—to find "confluence points" where price and time intersect. Great Time Cycle: A full "Great Cycle" (
) equals 20,736 units, which Gann calculated as lasting approximately 56 years, 9 months, and 23 days. Construction and Application
To build the square on a price chart, traders typically follow these steps: Gann Square Of 144 Pdf
Gann Square of 144 Trading Strategies | PDF | Numbers - Scribd
Gann Square of 144 , also known as the "Master Square of 12" (
), is a technical analysis tool used to identify price and time confluence to predict market trend reversals. It is based on W.D. Gann's theory that markets move in mathematical, geometric cycles where price and time are interchangeable. Core Principles of the Square of 144 The Master Number
: 144 is considered a "natural square" because it represents 12 (months in a year, zodiac signs, hours on a clock) squared. Price-Time Confluence
: The primary goal is to find where price and time "balance." When price reaches a specific level at the same time a specific time cycle expires, a major trend change is expected. The 1x1 Angle The Gann Square of 144 (also known as
: This is the most critical diagonal line in the square. It represents one unit of price for one unit of time. If price stays above this angle, the market is strong (bullish); if below, it is weak (bearish). Capital.com Key Mathematical Divisions
The square is divided into specific fractions to identify support and resistance levels:
Gann Square of 144 Trading Strategies | PDF | Numbers - Scribd
| Tool | Platform | Free/Paid | |------|----------|------------| | Gannzilla | Windows | Free | | Ensign Windows | Windows | Paid | | TradingView (custom script) | Web | Free (script) | | Excel (manual template) | Any | Free | | Gann Square Calculator (online) | Web | Free basic |
The famous Gann phrase: “When price squares time, a change is imminent.”
If price = $144 and time = 144 bars from a low → high probability reversal. Price & Time Squaring The famous Gann phrase:
Numbers increase as they move in a square spiral:
Notice that the numbers on the corners of each ring are odd squares: 3^2 (9), 5^2 (25), 7^2 (49), 9^2 (81), 11^2 (121), and finally 12^2 (144).
If a stock is moving sideways, it is not respecting the square. Gann said, "Wait until time and price square." If you force a trade during a choppy period, the Square of 144 will give false signals.
Downloading a PDF is useless without application. Here is a practical trading strategy using the Gann Square of 144.
Assume Bitcoin is trading at $68,000. You consult your Gann Square PDF. You look for the closest number to 68 on the spiral. If 68 sits on the "90-degree" angle line, the next resistance is the number directly opposite on the 270-degree line. This predicts precise price targets without lagging indicators.
Most PDFs start at 1. But Gann often started at 0. A superior PDF will show the "0" center. Price can move below 1 into decimals (0.125, 0.25, etc.) representing extreme bear markets.
Having downloaded a "Gann Square Of 144 PDF" from a torrent site or forum, traders often fail for three reasons: