Gann Square of 144

144 is 12², and Gann treated it as the largest complete square — the number a full cycle of price and time resolves into. His physical “Master Calculator” chart was a 144 × 144 grid laid over a market, with the divisions marked in ink and the angles drawn from the corners.

The same construction is used at other master numbers: 52 for a year of weeks, 90 for a quarter turn, 360 for a full one. The side is therefore a setting, not a constant, and the divisions are expressed as fractions of the side so they stay meaningful whichever number you choose.

This is what separates the master square from the Gann Box, and it is the point of the tool. A box is a rectangle you size on both axes. A master square is a fixed count of bars whose price height you scale to the market.

1. 1
   Click the origin

   A major high or low, and the bar it occurred on. This is the corner all the angles radiate from and the corner the divisions are counted from.
2. 2
   Drag to set the price scale

   The vertical distance sets the price per unit; the horizontal direction chooses whether the square opens forward or backward. Under master sizing the width itself is the bar count and does not follow the cursor.

Price divisions are computed in price space and time divisions in bar space, so both stay correct on a logarithmic axis and across weekends. The frame is always drawn, even with the grid switched off, so the square remains recognisable and clickable.

• The corner diagonals are the square’s 1×1 lines: one unit of price per unit of time. On a correctly scaled square they are the master chart’s primary support and resistance.
• The quadrant diagonals (optional) are the diagonals of the four half-squares — the square’s own 2×1 and 1×2. Gann drew these on the physical chart; they are where halving the square produces its next pair of angles. Drawn dashed and under the primary pair, because they are derived rather than fundamental.
• Where an angle crosses a division line is a time-and-price coordinate: a specific bar at a specific price. Those crossings, not the lines themselves, are what the master chart is consulted for.

• Price reaching the 72 line in either axis is the square’s halfway point. In price it is a level; in time it is a date. Reaching both together is the strongest configuration the tool produces.
• Price riding above the rising 1×1 is in an uptrend by Gann’s definition; a close below it is the trend-character change that the whole method turns on.
• Price reaching the far corner — 144 of price and 144 of time — has completed the square. Gann treated that as the end of a cycle, not a stage in one.
• A square whose divisions repeatedly coincide with past highs and lows has a well-chosen unit. One whose divisions fall between them does not; change the price range, not the divisions.

• 1.How to Make Profits in Commodities — W.D. Gann (1942)
• 2.Gann's Scientific Methods Unveiled — Betty Long
• 3.The Gann Pyramid: Square of Nine Essentials — James A. Hyerczyk (1998)
• 4.Gann square drawing tool — TradingView Help