Gann Square (Fixed)

The Gann Square Fixed is a variant of the standard Gann Square where the grid granularity is set by the user rather than derived dynamically from price. Gann believed that certain natural cycles — particularly anniversary dates, quarter turns, and harmonic divisions of the year (90, 180, 270, 360 days) — had fixed, predictable significance in financial markets.

In the fixed square, each cell of the grid represents a fixed price interval multiplied by a fixed time interval (e.g., $10 × 10 trading days, or 50 points × 5 bars). The 1×1, 2×1, 1×2, and other Gann angles are drawn from a pivot point and maintain their precise geometric relationship at every cell. Since the grid is fixed, the angles do not warp as price moves — they persist at their original slope regardless of how far price extends from the origin.

Gann described this as a "master chart" — a fixed geometric overlay that could be placed on any market at any time and would still provide meaningful support/resistance levels. The numerical version of this concept is Gann's Square of Nine, a circular numerical table on which he based many of his market predictions. The Gann Square Fixed is the geometric (chart-based) equivalent of the Square of Nine's numerical grid, translating numbers into angles.

The Gann Square Fixed is a two-anchor drawing tool. The first click sets the origin pivot — a major swing low or high. The second click (or configuration dialog) allows you to set the grid step — the price units and time units per cell. Once configured, the tool draws a grid of fixed-size cells radiating from the origin in up to four directions.

From the origin, Gann angles radiate at their fixed geometric slopes through the grid. The 1×1 line (45°) goes through one cell up and one cell right (or down and right for a bearish angle). The 2×1 line goes through two cells up and one cell right. The 1×2 line goes through one cell up and two cells right. Additional angles (4×1, 1×3, 1×4, 3×1, 8×1, 1×8) can be displayed as needed. Each angle maintains its slope precisely because the grid cells are fixed.

The grid is static — it does not change as new bars form. This is the key difference from the dynamic Gann Square. The fixed square provides a constant frame of reference, allowing the trader to see and re-evaluate the same geometric relationships at any future point. The grid extends both forward (into the future) and backward (into the past) from the origin, showing where price was when it crossed each angle historically.

1. 1
   Set the origin pivot

   Click a significant low or high that serves as the starting point for the square. This should be a major structural swing point visible on the daily or weekly chart.
2. 2
   Configure the grid step

   Set the price step (e.g., $5, $10, $50) and time step (e.g., 1 day, 5 days, 1 bar). The square expands outward from the origin on this grid in all four quadrants.

The grid has cell dimensions: Price_step × Time_step. The Gann angles are defined by their price/time ratio. On an arithmetic chart where the grid is drawn to scale, the visual angle corresponds to the ratio. The ratio determines the "speed" of the angle:

• Each Gann angle acts as dynamic support/resistance as price moves through the grid. The angle that price is currently riding is the dominant trend angle — this tells you the current "trend speed."
• The 1×1 line is the most important — a break above it in a downtrend (or below it in an uptrend) signals a change in the trend's character. This is Gann's primary reversal signal.
• A 2×1 touch is a more extreme overextension than a 1×1 touch (faster price relative to time). Expect a sharper reversal from a 2×1 touch. The higher the ratio, the more violent the reversal.
• A 1×2 touch suggests price is losing momentum (more time, less price) — a potential reversal zone. This is where slowing trends often find a bottom and reverse up.
• Price typically starts at one angle and rotates through them: 1×2 → 1×1 → 2×1 → 3×1 as momentum accelerates, then reverses back through them in a decelerating sequence. This "angle rotation" is Gann's primary method of trend analysis.
• The grid boundaries (the edge of the square) at anniversary-like intervals are often significant turning points. These are Gann's "natural time intervals." Mark them on your calendar.

Angle bounce (trend-following): Enter when price touches a Gann angle and reverses in the direction of the trend. Use shallower angles (1×2, 1×3) for entries in the direction of the trend — these are the safest entries because price is not overextended. Place the stop just beyond the angle line (0.5–1.0%).

Angle crossover (reversal): If price crosses from above the 1×1 line to below it (in an uptrend), the trend character has changed. Enter in the direction of the cross with a stop on the other side of the 1×1. This is Gann's primary reversal trading method and the most reliable signal from the fixed square.

Angle sequence (momentum scaling): As price accelerates from a shallower angle (like 1×3) to a steeper one (like 3×1), add to the position at each successful angle hold. Conversely, each deceleration to a shallower angle is a warning to reduce. This creates a systematic position management framework based on the angle sequence.

Consider a stock trading at $150 with an average daily range of $3. A reasonable grid step might be $3 (one cell = one average daily range) with a time step of 1 day. The 1×1 line would then represent a price change of $3 per day. If the stock rallies $6 in one day, it would cross the 2×1 line and be approaching the 3×1 line — a strong momentum signal. If the stock instead rallies $1.50 per day, it would be on the 1×2 line — suggesting deceleration.

The backward projection feature allows you to check if previous significant highs and lows landed on angle lines. If prior swing highs consistently hit the 2×1 line, the grid step is well-chosen. If they fall between angles, the step likely needs adjustment. This "validation loop" is the key to finding a reliable grid step for any instrument.

The fixed square integrates with other static and dynamic tools:

• Gann Fan: Place a Gann Fan from the same origin as the fixed square. The fan angles should correspond to the square's angle lines. Discrepancies suggest the step selection may be incorrect for the instrument.
• Fibonacci retracements: When a Fibonacci retracement of a major swing coincides with a Gann angle intersection, the price zone is doubly significant. The Fibonacci ratio and the Gann angle agree on the same level.
• Horizontal S/R: The grid lines of the fixed square naturally form horizontal and vertical price levels. These often align with prior swing highs/lows, reinforcing the grid's validity. Mark these intersections.
• Anniversary dates: The time-step grid creates future dates at each cell boundary. Mark these as potential reversal dates, especially when they align with seasonal turning points or earnings dates.
• Volume profile: High-volume nodes at Gann angle intersections confirm that other market participants also see these levels as significant. Low-volume crossings of angles are suspect.

The fixed Gann Square requires consistent grid computation with user-defined step sizes. The implementation must ensure geometric accuracy regardless of the grid step selected.

Grid construction: Given origin at bar o and price p, with price step P_step and time step T_step, the grid extends in all four quadrants. The first cell to the right covers bars [o, o + T_step] and prices [p, p + P_step] for the upper-right quadrant. For each additional cell, add P_step to the price boundary and T_step to the time boundary. The grid extends to the configured square size (e.g., 20 cells in each direction). The 1×1 angle connects (o, p) to (o + T_step × n, p + P_step × n) for n = 1, 2, 3…, N.

Angle line generation: For each angle ratio k/m (e.g., 2×1, 3×1, 1×2, 1×3, 4×1, 1×4, 8×1, 1×8), the angle line passes through (o, p) and (o + m × T_step, p + k × P_step). For the 2×1 angle: slope = 2 × P_step / T_step; the line passes through (o + 1 × T_step, p + 2 × P_step). For the 1×2 angle: slope = 0.5 × P_step / T_step; the line passes through (o + 2 × T_step, p + 1 × P_step). Each line extends to the chart edge from the origin.

Angle intersection tracking: On each bar, compute the signed distance from price to each angle line. Record which angle price is closest to. A crossover event occurs when price crosses an angle line — this is a signal. Specifically track crossovers of the 1×1, 2×1, and 1×2 lines as they are the primary actionable signals. Crossovers of extreme angles (8×1, 1×8) are rare but significant when they occur.

The fixed square provides a consistent geometric framework for risk management. The grid step size directly influences stop and target distances.

Grid-step-based stops: For a 1×1 line bounce entry, place the stop 0.5 × P_step below the 1×1 line (for an uptrend). For a 2×1 line trade (entering at the steeper angle), the stop is 0.3 × P_step below the 2×1 line — tighter because the 2×1 is an extreme angle and a break below it signals immediate trend failure. For a 1×2 trade (shallower angle), the stop is 1.0 × P_step below the 1×2 line — wider because price tends to oscillate more around shallower angles. The grid step provides a natural, consistent unit for stop placement.

Angle-based position scaling: When price is riding the 1×1 line (the equilibrium), maintain full position size. When price accelerates to the 2×1 or 3×1 line, reduce to 0.75× base — the trend is overextended and a reversion to the 1×1 is increasingly likely. When price decelerates to the 1×2 or 1×3 line, reduce to 0.5× base — the trend is stalling and a reversal may be imminent. This angle-based scaling ensures maximum exposure at equilibrium and minimum exposure at extremes — exactly when risk is highest.

Grid-boundary stop adjustment: If the grid step is small relative to ATR (e.g., P_step is $1 but ATR is $5), the grid is too fine and angle signals will be noisy. Adjust the stop to use ATR-based units instead: stop distance = max(0.5 × P_step, 0.5 × ATR). This ensures the stop is never tighter than half the average true range, preventing noise-triggered stops on small grid steps. Conversely, if P_step is larger than ATR, use stop = min(1.0 × P_step, 2.0 × ATR) to prevent stops that are too wide.

The fixed square requires consistency in grid step selection and the discipline to not change the grid when it does not immediately fit the market. This patience is the main psychological challenge.

The "wrong step" anxiety: After placing a fixed square with a chosen grid step (say $5 × 1 day), the first few bars may not show any angle interactions. The trader, anxious for signals, is tempted to try a different step ($3, $7, $10) to "make it work." This step-hopping destroys the fixed square's value because no signal pattern can develop with a constantly changing grid. Rule: test three different grid steps offline (backward projection), pick the best one, and lock it for at least 100 bars. No changes during the first 100 bars.

The "angle perfectionism" trap: When price reverses exactly at a 1×2 line intersection, it feels like a perfect prediction. When price reverses 2 bars before the 1×1 line intersection, it feels like the tool "failed." The fixed square provides approximate zones, not exact levels. A reversal within 2 bars or 0.5 × P_step of an angle intersection counts as a valid angle touch. Holding out for perfect intersections means missing most of the signals. Accepting the 80% correct signal is the discipline that makes the fixed square profitable.

The fixed square can be adapted for specialized applications and alternative analytical frameworks. These variations extend the core concept while maintaining grid-based geometry.

Multiple-step grid overlay: Place two fixed squares from the same origin with different step sizes simultaneously. For example, a fine grid with a $1 step and a coarse grid with a $5 step. Signals that appear on both grids (e.g., price crosses the 1×1 line on both the fine and coarse grid within the same bar) are "dual-grid confirmations" and are significantly more reliable than single-grid signals. The fine grid provides precision; the coarse grid provides confirmation. This dual-grid approach is Gann's "master chart" principle applied in software.

Time-decompressed square: Instead of using a constant time step, use a variable time step that expands over time. For the first 10 cells, T_step = 1 bar. For cells 11–20, T_step = 2 bars. For cells 21–30, T_step = 5 bars. This decompression reflects Gann's belief that time cycles expand as the trend matures — early in the trend, time moves quickly (every bar matters), but later in the trend, time is less compressed and larger intervals are more meaningful. The decompressed square produces angle lines that gradually flatten, representing the natural deceleration of aging trends.

A fixed square on the weekly chart provides the "master grid" with a consistent price-time step at the weekly level. A daily fixed square should use a grid step that is a sub-multiple of the weekly step. For example, if the weekly grid step is $10 × 1 week, the daily grid step might be $2 × 1 day (since $10/5 trading days = $2/day).

Consistent step scaling: The grid step should scale proportionally across timeframes. A step that works on the weekly chart should be dividable by the number of trading days per week (5) for the daily chart, and by the number of trading hours per day (6.5 for US stocks) for the hourly chart. This ensures that the 1×1 angle on the weekly chart represents the same price-time relationship as the 1×1 angle on the daily chart.

Angle continuity: When the daily fixed square and the weekly fixed square show the same angle breakout (e.g., both squares show price crossing above the 1×1 line within the same week), the signal is confirmed across timeframes. This "angle continuity" is the strongest confirmation signal in the Gann Square Fixed methodology.

The fixed square's grid step is constant, so the tool adapts poorly to changing volatility. It performs best in stable-volatility environments where the price-time relationship is consistent.

Stable volatility (constant ATR): The fixed square performs best. Price consistently respects the Gann angles, and angle crossings produce meaningful reversals. The grid step you chose at placement remains valid for weeks or months. This is the regime where the fixed square outperforms the dynamic square because its consistency matches the market's consistency.

Rising volatility (expanding ATR): The fixed grid step becomes too small. Price crosses too many angles too quickly, making the chart noisy and signals unreliable. In this regime, switch to a larger grid step or use the dynamic square instead. A grid step that was $5 when ATR was $2 becomes too small when ATR expands to $5.

Falling volatility (contracting ATR): The fixed grid step becomes too large. Price fails to reach even the first angle, and no signals are generated. In this regime, switch to a smaller grid step or use a non-Gann tool. A grid step of $10 is too large when the market moves only $2 per day.

• 1.How to Make Profits in Commodities — W.D. Gann (1942)
• 2.Gann's Scientific Methods Unveiled — Betty Long
• 3.Gann Square Fixed — TradingView Help
• 4.Gann Angles — StockCharts ChartSchool
• 5.The Gann Pyramid: Square of Nine Essentials — James A. Hyerczyk (1998)
• 6.Technical Analysis of Financial Markets — John J. Murphy (1999)