Free Tool

Gann Square of 9 Calculator

Enter one price and read the support and resistance ladder the Square of 9 generates around it, built with the standard square-root method, with the 45-degree steps and the cardinal turns labelled and the exact formula stated on the page. The tool plots the generated levels to scale and draws the 45-degree wheel, and it is honest with you about what the technique is: a fixed geometric grid, popular with Indian intraday traders, with no proven statistical edge.

The Square of 9 is not a forecast. It is one arbitrary reference grid among many, and it can only matter to the extent that a crowd watches the same number.

Reference price

Quick pick

Last traded or reference price The single seed the whole ladder is built from. Use your instrument's last traded price, or a prior close or pivot if that is the anchor you watch. The worked-example value 100 keeps the square-root arithmetic legible.

Angular increment

Step

The default 45-degree step is the common intraday setting: eight steps, adding 1.0 to the square root, complete one full revolution. The convention itself is arbitrary, and other Gann traditions size a 45-degree turn differently.

Square root of price

Nearest resistance

Nearest support

One revolution up (360)

The one thing this tool teaches

Every level below is a deterministic function of one input, your price, run through its square root. The method has no proven statistical edge. Treat these as levels the technique generates, which some intraday traders watch, never as signals or as a recommendation from us. The grid is spaced by the square root of price, so it is a fixed geometry, not a forecast.

Level ladder, drawn to scale

Resistances above your price, supports below, plotted at their true spacing. The gold line is the price you entered.

The 45-degree wheel

The Square of 9 idea: each 45-degree spoke is a 0.125 step in square-root units. Cardinal spokes in gold, diagonals in green.

Generated levels

Level	Angle	Price	From your price	Type

Read before you use these levels

Generating levels is the easy part; it is one square root and some arithmetic. The judgement is knowing that a line drawn from a formula is not a reason to trade, having a tested reason to act at all, and sizing the position so a clean break through any level is survivable. That upstream discipline, not a better grid, is what the method we teach is built around.

Take the free diagnostic

The one principle

The Square of 9 is a fixed geometric grid, not a forecast. It spaces levels along the square root of price, so the same arithmetic produces the same lines every time, regardless of the instrument, the trend or the news. There is no published, replicated evidence that its angles carry any edge over any other arbitrary grid. Whatever usefulness the levels have is the same kind that round numbers and pivots have: they can become self-fulfilling when enough participants watch the identical number, and nothing more. That is the honest frame, and it is also why this page exists: to explain the mechanic accurately and place it where it belongs.

A desk that used this would treat a generated level as a coordinate, not a command. The line tells you where some other participants are looking and therefore where a reaction is marginally more likely; the decision to act, the size and the exit come from a tested method, never from the geometry. The SEBI FY25 finding that over 91 percent of individual F&O traders were net loss-making, with aggregate net losses near 1,05,603 crore rupees, is in part what happens when mechanical lines get mistaken for permission: a level touched is treated as a trade taken, with no method upstream and no sizing to survive the clean breaks these grids produce constantly.

The math, derived

The construction is one idea applied twice. Take the square root of the price, move it a fixed distance up or down, and square it back into a price. The distance is measured in turns of a wheel: a full 360-degree revolution is one whole unit of square root, so each 45-degree step, one eighth of a turn, is 0.125. Here is exactly what the calculator applies.

THE SQUARE-ROOT METHOD (45-degree step)
root = √price
R(n) = ( root + n × 0.125 )^2 resistance, n = 1 to 8
S(n) = ( root − n × 0.125 )^2 support, n = 1 to 8

each 0.125 in root units = 45 degrees; 8 steps = 360 degrees
cardinal turns: 90, 180, 270, 360 (even n = 2, 4, 6, 8)
diagonal turns: 45, 135, 225, 315 (odd n = 1, 3, 5, 7)

WORKED EXAMPLE (price = 100)
root = √100 = 10
R(1) 45° = (10 + 0.125)^2 = 102.52
R(2) 90° = (10 + 0.25)^2 = 105.06 cardinal
S(1) 45° = (10 − 0.125)^2 = 97.52
R(8) 360° = (10 + 1.0)^2 = 121.00 = 11 squared, the next perfect square

Why a full turn lands on the next perfect square. Adding 1.0 to the square root and squaring takes you from a price whose root is k, exactly, to the price whose root is k plus 1. Start at 100, which is 10 squared, and one revolution up is 121, which is 11 squared; one revolution down is 81, which is 9 squared. That is the cleanest possible proof that the Square of 9 is arithmetic on the square-root axis and not a reading of the market. The angles are just labels for how far along that axis you have stepped.

Equal angles, unequal prices

This one picture is the whole method. The square root of price is stepped in equal 0.125 increments, the equal ticks along the bottom. Squaring them back into price stretches those equal steps into unequal price gaps that widen as you go up: from 100 the step to 110.25 is 10.25 points, but the next step to 121 is 10.75. Equal turns of the wheel, unequal rupees. Nothing in the construction observes the market; it only reshapes the number you started with.

Reference: the ladder for a price of 100

The Square of 9 levels for a price of 100 at the 45-degree increment, one full revolution each way. Read the cardinal rows (90, 180, 270, 360 degrees) as the turns Gann users weight most, and note the symmetry: the ladder above and below is a near mirror, because it is arithmetic, not a directional read. The 360-degree levels land exactly on 121 and 81, the neighbouring perfect squares.

Square of 9 levels for price 100, 45-degree step. Illustrative, generated from this single input. Cardinal turns are highlighted; a level is not a signal.
Step n	Angle	Type	Resistance (root + n×0.125) squared	Support (root − n×0.125) squared
1	45°	diagonal	102.52	97.52
2	90°	cardinal	105.06	95.06
3	135°	diagonal	107.64	92.64
4	180°	cardinal	110.25	90.25
5	225°	diagonal	112.89	87.89
6	270°	cardinal	115.56	85.56
7	315°	diagonal	118.27	83.27
8	360°	cardinal	121.00	81.00

What the symmetry tells you. The resistance column and the support column are almost a reflection, off only by the slight convexity of squaring, which pushes the upside gaps a little wider than the downside. A construction that is symmetric by design cannot be forecasting direction. It is marking, in advance and identically for everyone who uses the same seed and convention, the distances at which a subset of traders have agreed to look.

Reference: the spacing widens with price

Because the grid rides the square root, the size of a 45-degree step is not constant. It works out to roughly 0.25 times the square root of the price. In absolute points the levels are packed tight on a cheap instrument and spread wide on an expensive one; measured as a percentage of price the relationship flips, because the same 0.25 divided by a larger square root is a smaller fraction. Both facts are properties of the arithmetic alone and have nothing to do with the instrument's actual volatility.

First 45-degree step size at several price levels. Point gap = (root + 0.125) squared minus price. Illustrative, a fixed property of the square-root spacing, not a volatility estimate.
Price	Square root	45-degree step, points	Step as % of price	In words
25	5.00	1.27	5.06%	Levels stacked tight in points, wide in percent
100	10.00	2.52	2.52%	The worked example
1,500	38.73	9.70	0.65%	A liquid large-cap level
22,500	150.00	37.52	0.17%	A broad-index level: gaps of tens of points
48,000	219.09	54.79	0.11%	A banking-index level: coarse grid in points

The practical consequence. On a low-priced instrument the first several levels can sit inside the normal tick-to-tick noise, so price crosses a handful of them without any crossing meaning anything. On a high-priced index the nearest level may be tens of points away, so the grid is coarse and a move can run a long way before it reaches one. Neither is a property of the market; both fall straight out of stepping the square root by a fixed amount.

The wheel, and why the cross is weighted

The labels tell you who is watching, not what will happen. On the wheel the cells spiral outward and the cross and diagonals pick out the cardinal and diagonal directions. The tradition weights the cardinal cross most heavily, then the diagonals, and that ordering is genuinely useful for one reason only: it tells you which lines other Gann users are likely to have marked. It is not a statistical property. Nothing in squaring the root makes the 90-degree level a stronger barrier than the 45-degree one.

Reference: Gann against other reference grids

The fair way to place the Square of 9 is beside the other mechanical grids traders draw, because they share a single mechanism and it is not prediction. Each anchors to something arbitrary, spaces levels by a fixed rule, and can only influence price to the extent that a crowd watches the same lines. Where several grids coincide, more eyes land on one price, and that confluence is the entire effect.

Four mechanical reference-level systems compared on what actually drives them. None has a demonstrated predictive edge; the shared mechanism is attention.
System	What it anchors to	Spacing rule	Demonstrated edge	Why price may still react
Gann Square of 9	Square root of one chosen price	About 0.25 times the root per 45 degrees, widening with price	None published	Some intraday traders compute and watch the same numbers
Floor-trader pivots	Prior session high, low and close	Fractions of the prior range	None inherent	Very widely computed, so orders cluster at the levels
Round numbers	The base-ten number system	Fixed, every 50 or 100	None	Psychological focal points and option strikes cluster there
Fibonacci retracement	A chosen swing high and low	Ratios such as 0.382 and 0.618 of the swing	None published	Widely drawn, so confluence forms at the ratios

The honest ranking is no ranking. There is no sound basis for saying the Gann angles beat pivots, or round numbers, or Fibonacci ratios. They are interchangeable in the only property that matters, which is how many other participants are looking at the same line. That is why we do not present the Square of 9 as special. It is one grid among several, and the useful skill is reading behaviour at a level the crowd shares, not believing the level was foretold.

Three arbitrary grids on one price

Confluence is a headcount, not a prophecy. Three grids computed by different rules mostly disagree about where the levels are. At the two prices where a Gann level, a pivot and a round number happen to coincide, more participants are watching the same number, so a reaction there is marginally more likely. That is worth knowing, and it is the whole of it. The confluence does not predict the turn; it just counts the eyes, and a level with more eyes on it is the only kind that these methods can make self-fulfilling.

Failure modes: why to be skeptical

The arithmetic is never wrong; a square root and a square are exact. What fails is every claim layered on top of them. Five reasons to hold the output at arm's length, each specific to this technique.

1. No statistical edge has ever been shown. There is no peer-reviewed, replicated study demonstrating that Square of 9 levels forecast price, or that its angles hold more often than lines drawn at random distances. The technique is roughly a century old and its evidence base is testimonial. If a fixed grid computed from one number could predict markets, it would have been arbitraged away long ago. Treat any claim that these levels work as unproven, and design your process so it does not depend on them being right.

2. The convention and the origin are curve-fitting knobs. This calculator uses the common intraday scheme where 0.125 in root units is 45 degrees; other Gann traditions make a full revolution 2.0 of root, so their 45-degree turn is 0.0625, and every level moves. The seed moves them too: last traded price, prior close, session high or low, or a pivot each produce a different ladder. With that many defensible starting points and step sizes, a level can be found near almost any turn after the fact. That is the definition of overfitting.

3. If it works at all, it works only as a self-fulfilling level. The single honest mechanism is reflexive: on a liquid, heavily watched instrument, a level many people compute the same way can attract order flow because the crowd is looking at it. That is identical to how a round number or a pivot can matter, and it is caused by shared attention, not by the geometry. On a thin name that nobody is mapping, the same clean numbers produce lines price ignores entirely.

4. Two decimals is false precision. The tool prints levels to the paisa because the arithmetic is exact, but the exactness is spurious. A number that changes when you switch the convention or nudge the seed cannot meaningfully be right to two decimal places. Read a generated level as a fuzzy zone at best, not a line to defend to the tick, and never let the tidy decimals substitute for the fact that the whole construction is arbitrary.

5. The origin-square ambiguity has no correct answer. Practitioners disagree about what sits at the centre of the wheel and therefore where the spiral starts, and different starting squares shift the cardinal and diagonal cells. There is no principled way to settle it, because there is no underlying mechanism to appeal to. When a method's most basic setup choice is a matter of taste, its precise outputs cannot carry the authority their decimals imply.

The quiet sixth failure: hindsight. With eight levels each side, a couple of conventions and several possible seeds, some line will sit near almost every intraday turn. Pointing at the one that marked a move, after the move, is the oldest error in technical analysis and it guarantees a hit rate that means nothing going forward. If you use the grid, fix the seed and the convention in advance and judge it honestly, including the times price sailed straight through.

Why we rank for this, and what we will not claim

Thousands of Indian intraday traders search for a Gann Square of 9 calculator every month, so we built one that is correct and fast. What we will not do is pretend it is more than it is. The institutional service here is not a secret setting that makes the levels work; it is the refusal to overclaim. The Square of 9 is one arbitrary reference grid among many, with no demonstrated edge over pivots, round numbers or Fibonacci ratios, and its only real mechanism is that some traders watch the same lines. A page that told you otherwise, that dressed a square root up as a forecasting engine, would be selling you the thing that loses money.

This is the line the SEBI FY25 numbers sit on. Over 91 percent of individual F&O traders were net loss-making, with aggregate net losses near 1,05,603 crore rupees, up roughly 41 percent on the prior year. A grid of levels is not a cause of that, but treating a grid as a trading method is a large part of it: lines from a formula mistaken for permission to trade, with nothing deciding whether a setup is worth taking and no sizing to survive the breaks these levels produce on every trending day. A level is a place some people are watching. Whether to act, how much to risk and where you are wrong are decisions no square root can make, and a technique that cannot make them is not a substitute for risk management.

Common Questions

Frequently Asked Questions

What is the Gann Square of 9 and how is it calculated?

The Gann Square of 9 is a way of generating price levels from a single number using its square root. You take the square root of a chosen price, step it up or down by a fixed increment, then square the result back into a price. In the common intraday convention one increment of 0.125 in square-root units equals a 45 degree turn on the wheel, and eight such steps, adding 1.0 to the square root, complete a full 360 degree revolution. So a resistance level is (square root of price plus n times 0.125) squared, and the matching support is (square root of price minus n times 0.125) squared. That is the whole calculation. It is deterministic arithmetic on one input, which means it carries no information about the market beyond the price you fed it.

Does the Gann Square of 9 actually work?

There is no published, replicated evidence that the Square of 9 predicts price or that its angles carry any edge over any other arbitrary grid. It is a fixed geometric construction: the same square root produces the same lines every time, regardless of the instrument, the trend, the volatility or the news. Any usefulness it has is the same kind that round numbers and pivot points have, which is reflexive rather than predictive. If enough intraday participants watch the identical level and rest orders near it, price can react there, and that reaction is caused by the shared attention, not by anything the geometry knows. We rank for this search because many traders look for it, and the honest thing to say is that it is a reference grid, not a forecast, and it is no better founded than several simpler grids.

What is the formula for Gann Square of 9 support and resistance?

Resistance level number n is (square root of price plus n times 0.125) squared. Support level number n is (square root of price minus n times 0.125) squared. Each 0.125 step is a 45 degree turn, so n runs 1 to 8 to cover one full 360 degree revolution above and below the price. As a worked example, at a price of 100 the square root is 10, the first 45 degree resistance is (10 plus 0.125) squared which is 102.52, the first 45 degree support is (10 minus 0.125) squared which is 97.52, and the 90 degree resistance is (10 plus 0.25) squared which is 105.06. A full revolution up, adding 1.0 to the square root, lands on (10 plus 1) squared, exactly 121, the next perfect square, which shows the grid is pure arithmetic on the square-root axis.

What are cardinal and diagonal levels in the Square of 9?

On the wheel the cells are arranged in a spiral, and Gann practitioners pay most attention to the ones that fall on the cross and the diagonals through the centre. The cardinal levels sit at 90, 180, 270 and 360 degrees, which in this square-root method are the even steps, n equal to 2, 4, 6 and 8. The diagonal levels sit at 45, 135, 225 and 315 degrees, the odd steps, n equal to 1, 3, 5 and 7. The convention is to weight the cardinal turns most heavily, then the diagonals. It is worth being clear that this weighting is a tradition, not a statistically demonstrated property: nothing in the arithmetic makes a 90 degree level more likely to hold than a 45 degree one. The labels tell you which lines other Gann users are watching, and that is all they tell you.

Why do different Gann calculators give different levels?

Two reasons, and both are choices rather than errors. First, the angular convention differs between tools. This calculator uses the common intraday scheme where 0.125 in square-root units is a 45 degree turn and adding 1.0 completes a revolution. Other Gann traditions treat a full revolution as adding 2.0 to the square root, which makes 0.125 a 22.5 degree turn, so their same-named levels land elsewhere. Second, the starting value differs. Some feed the last traded price, some a prior close, some a session high or low or a pivot, and the entire ladder shifts with the seed. The upshot is that the two decimal places you see are arithmetic precision, not forecasting precision, and a level that looks authoritative to the paisa can be one of several defensible numbers.

What does buy above and sell below mean in the Gann method?

Buy above and sell below is the classic phrasing used in Gann Square of 9 trading guides: the idea is to treat a generated level as a trigger, going long if price trades above it and short if price trades below it, with the next levels as targets and stops. That phrasing is the method's own terminology, and we reproduce it only to explain the technique. It is not our advice, and a line that a formula draws from one price is not a reason to buy or sell anything. Price passes cleanly through these levels constantly, especially on trending or gapping days, so a level touched is not a trade taken. Any decision to act, how much to risk and where you are wrong are judgements the grid cannot make for you.

Is the Gann Square of 9 good for intraday trading on Nifty or Bank Nifty?

It is used a great deal by Indian intraday traders on the liquid indices, and that popularity is the only mechanism by which it can matter. On a heavily watched instrument such as Nifty or Bank Nifty, a level that many participants compute the same way can attract order flow simply because a crowd is looking at it, the same way a round number or a floor-trader pivot can. That is a reflexive effect, not a predictive one, and it is strongest exactly where the crowd is largest. On a thinly traded name that few people are mapping, the same clean arithmetic produces lines price ignores. So the honest case is narrow: it is a shared coordinate system on liquid instruments, with no demonstrated edge over other shared coordinate systems, and it is useless as a substitute for a tested method and position sizing.

Why are the levels closer together at low prices and further apart at high prices?

Because the grid is spaced along the square root of price, not price itself. The point gap of the first 45 degree step works out to roughly 0.25 times the square root of the price, so it grows as price rises. At a price of 25 the first step is about 1.27 points, at 100 it is about 2.52 points, at 2,500 it is about 12.52 points, and at 22,500 it is about 37.52 points. In absolute terms the levels are packed tight on a low-priced instrument and spread wide on a high-priced one. Measured as a percentage of price the relationship reverses, since 0.25 divided by the square root of price shrinks as price rises, which is a useful reminder that the spacing is a fixed property of the arithmetic and has nothing to do with the volatility of the instrument in front of you.

Should I trade using only the Gann Square of 9?

No. A level system is not a trading method and it is not risk management. The Square of 9 tells you where certain lines fall, computed from one price by a fixed rule, and it says nothing about whether a trade is worth taking or how large it should be. The SEBI study of the equity derivatives segment found that over 91 percent of individual traders were net loss-making in FY25, with aggregate net losses near 1,05,603 crore rupees. A large part of that outcome is mechanical lines treated as permission to trade, with no method deciding whether a setup is worth it and no sizing to survive the clean breaks these grids produce on every trending day. Use a generated level, if at all, as one input inside a tested process, never as the process.

Where the facts come from

Sources

The square-root method. Standard descriptions of the Gann Square of 9 compute a level as the square root of the price plus or minus a fixed increment, squared back into a price, with the increment measured in angular turns of the wheel. Verified against day-trading and technical-analysis references that document the square-root calculation. tradingsim.com
The 45-degree convention and its alternatives. In the common intraday scheme a 45 degree turn is 0.125 of a square-root unit, one eighth of a 360 degree revolution, so adding 1.0 to the root completes a revolution and lands on the next perfect square. Other Gann traditions treat a full revolution as 2.0 of the root, making 45 degrees equal to 0.0625, which is the origin of the differences between calculators. tradingfives.com
The FY25 loss base rate. SEBI study on the profit and loss of individual traders in the equity derivatives segment: over 91 percent net loss-making in FY25, with aggregate net losses of about 1,05,603 crore rupees, up roughly 41 percent from FY24. sebi.gov.in

Educational note. This tool generates Gann Square of 9 levels from the single price you enter; every output is illustrative and depends entirely on that price and the increment you choose. The levels are ones the technique produces, which some intraday traders watch, not buy or sell signals, and nothing here is a recommendation to trade or to buy or sell any security. The Square of 9 has no proven statistical edge. Bharath Shiksha is an educational publisher, not a SEBI-registered investment adviser or research analyst.