Levels & geometryGann Square · Sq of 9
Gann's Square of Nine — a numerical spiral relating price and time through squares and geometric angles.
Works in most conditionsEngine-computed on a fixed sample series
What it is
The Gann Square — most famously the Square of Nine — is a numerical spiral that W.D. Gann used to relate prices and dates through geometry rather than through any moving calculation on the chart. Picture the number 1 at the centre of a grid, with 2, 3, 4, and so on spiralling outward in a square coil; numbers that sit a full turn apart on the spiral are linked by squaring, which is where the tool's name comes from. Gann treated the angles around this spiral — notably 90, 120, 180, and 360 degrees — as harmonic relationships that could point to hidden support, resistance, and moments in time where a market might turn. It is not an indicator that updates bar by bar; it is a static framework you consult to pre-mark levels and dates. The question it tries to answer is where, in both price and time, a market is most likely to meet a natural barrier or turning point derived from geometric proportion.
How it is calculated
To find price levels off the Square of Nine you take the square root of a starting price, add or subtract a fraction that corresponds to the rotation you want, and square the result. A full 360-degree rotation adds 2 to the square root, 180 degrees adds 1, 90 degrees adds 0.5, and 45 degrees adds 0.25 — each fraction being that share of the value 2 that separates consecutive full rotations. So from a price P, one full turn of resistance is (√P + 2)², a half turn is (√P + 1)², and so on, with subtraction giving the corresponding support levels below. The same rotations can be projected onto the calendar by counting days, weeks, or degrees of time from an anchor date, so that price angles and time angles are generated by the same geometry. Nothing is smoothed or averaged; the entire output is a table of harmonically related prices and dates derived from one anchor and one choice of units.
Reading it, step by step
You read the square by rotating outward from a meaningful anchor price to list the harmonically related prices above and below it, treating those as candidate support and resistance. The strongest levels are those that fall on the cardinal (90, 180, 270, 360) and diagonal (45, 135, 225, 315) angles, because Gann held these carry the most weight. Projecting the same rotations onto time gives windows — specific future dates — where a change in trend is more likely. The highest-attention situations are confluences: a price that lands on a strong angle arriving on a date that also falls on a strong angle. Crucially, none of these are triggers by themselves; you read the square to know where to pay attention, then wait for ordinary price behaviour to confirm that something is actually happening at the marked spot.
Best timeframes and settings
The Square of Nine is a planning instrument used mostly on daily and weekly charts, where anchor highs, lows, and their dates are unambiguous and worth projecting from. The critical choices are the anchor price (usually a major swing high or low, sometimes an all-time extreme or a significant round number) and the units in which you count time. There is no period to shorten or lengthen and therefore no conventional responsiveness-versus-noise dial; the sensitivity lives entirely in which anchor and which angle increments you select. Different practitioners scale the square differently — some in whole points, some in fractions — and those choices change every level it produces. Because it is scaffolding rather than a live signal, the discipline is to build the grid in advance and let it sit, rather than re-anchoring it repeatedly until it fits recent price.
When and where to use it
The square is best used as a pre-session or pre-week planning aid to mark price levels and dates worth watching, then combined with conventional analysis at those spots. It can be applied to any liquid market — indices, stocks, commodities, FX — but its value is entirely in how well the anchor captures a genuinely significant turning point. It is not suited to reactive, in-the-moment decisions, and it offers nothing about direction on its own. Use it when you already have a structured trading plan and want an extra layer of potential reaction zones; avoid relying on it when you need objective, testable levels, because the technique resists rigorous backtesting. The honest framing is that confluence between a square level and a conventional level is what earns attention, not the square's numerology by itself.
Strategies that use it
Level-confluence strategy: pre-mark the price levels a full and half rotation above and below a major anchor, then only trade a reversal there if standard price action — a rejection candle, a break of a micro-trendline — confirms at the level, stopping just beyond it. Time-window strategy: project forward dates from an anchor low using the same rotations, and on those dates tighten your attention for a trend change, acting only when price itself signals a turn rather than on the date alone. Cardinal-cross strategy: give extra weight to setups where price sits on a cardinal or diagonal angle and a projected time angle lands in the same window, treating that double confluence as a high-attention reversal zone and demanding confirmation before entry. Across all of these the square supplies the map; the actual entry, stop, and exit come from ordinary price behaviour at the marked spot.
Combining it with other indicators
Because the square is esoteric and interpretive, it earns its keep only alongside objective tools. Horizontal support and resistance, prior swing points, and round numbers that coincide with a square level convert a numerological guess into a real, watched zone. Fibonacci retracements and extensions frequently overlap with square rotations, and those overlaps are the levels worth prioritising. Fibonacci time zones or simple cycle counts can corroborate the square's projected dates. At the moment of the test, momentum oscillators such as RSI or the stochastic, and volume behaviour, give the confirmation the square cannot provide on its own. The general rule is to treat the Square of Nine as one voice in a chorus of conventional confluence, never as a solo signal.
Where it fails
The Square of Nine is highly sensitive to its anchor and its units, so two analysts starting from different points or scales produce entirely different levels, and there is no objective way to say who is right. That flexibility makes it nearly impossible to test rigorously and easy to rationalise after the fact, since with enough rotations and angles some level will always sit near any price. Markets driven by fresh fundamentals routinely ignore geometric levels entirely. The classic error is to lean on the square's mystique instead of demanding confirmation, and to keep re-anchoring until the grid appears to fit — a recipe for hindsight bias. The way to use it responsibly is to fix your anchors in advance, prioritise only the levels that align with conventional support and resistance, and always wait for price to confirm before acting.
A worked example
Anchor the square at a price of 100, whose square root is a convenient 10. A 45-degree rotation adds 0.25 to the root, giving (10.25)² ≈ 105.1; a 90-degree rotation adds 0.5, giving (10.5)² ≈ 110.3; a 180-degree rotation adds 1, giving (11)² = 121; and a full 360-degree rotation adds 2, giving (12)² = 144. So from an anchor of 100 the square projects resistance clusters near 105, 110, 121, and 144, with the mirror subtractions marking support near 95, 90, and 81 below. If price rallies from 100 and stalls right around 110.3 while an RSI reading turns down and a bearish candle prints, that confluence of a 90-degree square level with real rejection is the kind of spot the tool is meant to flag. A trader would short there with a stop just above 111, targeting a return toward the 105 level a 45-degree rotation lower — using the square only to frame the levels and letting the price action trigger the trade.