Gann Square of 9 calculator: enter any price and the page works out the Square of 9 levels above and below it at 45°, 90°, 135°, 180°, 225°, 270°, 315° and 360°.
The formula is shown below and every step can be checked by hand. Everything runs in your browser.
Your price
Square of 9 levels
- Square root of the price
- —
| Angle | Level above | Level below |
|---|
Quick Answers
- What is the Gann Square of 9 formula?
- Level = (√price ± angle ÷ 180)². For a price of 100 the root is 10, so the 45° levels are (10.25)² = 105.06 and (9.75)² = 95.06.
- Which angles does this calculator use?
- Eight angles: 45°, 90°, 135°, 180°, 225°, 270°, 315° and 360°. A full 360° turn moves the square root by 2.
The Square of 9 Formula
Root = √price. Step = angle ÷ 180. Level above = (root + step)². Level below = (root − step)². A full turn of 360° moves the square root by 2.
A Worked Example
The price 100 is used only because its square root is a whole number; it is not taken from any market. √100 = 10. At 45° the step is 45 ÷ 180 = 0.25, so the level above is (10 + 0.25)² = 105.06 and the level below is (10 − 0.25)² = 95.06.
| Angle | Level above | Level below |
|---|---|---|
| 45° | 105.06 | 95.06 |
| 90° | 110.25 | 90.25 |
| 135° | 115.56 | 85.56 |
| 180° | 121.00 | 81.00 |
These levels are arithmetic only. They are not a forecast and not investment advice of any kind.
Related pages
Frequently Asked Questions
How does the Gann Square of 9 calculator work?
It takes the square root of the price, adds or subtracts a step for each angle (angle ÷ 180), and squares the result again. 360° adds 2 to the square root, which is one full turn of the square. Eight angles from 45° to 360° are shown, above and below the price.
Why does 360° add 2 to the square root?
In the Square of 9 the numbers spiral outward from the centre, and each full ring adds 2 to the square root of the numbers on the same line. So one full turn (360°) is +2, half a turn (180°) is +1 and 45° is +0.25.
Can it be used for Nifty, Bank Nifty or a stock?
The arithmetic works on any positive price — an index, a share or a commodity. The page does not fetch any market price; you enter the number yourself.
Do these levels tell me where the price will turn?
No. They are arithmetic only. Nothing on this page says the price will stop, turn or move at any level, and it is not investment advice.
Why is the level below empty for a very small price?
If the step is larger than the square root, (root − step) becomes zero or negative and squaring it would give a meaningless number. The page leaves that cell empty instead.
Are the numbers I enter sent anywhere?
No. The whole computation happens in your browser. No number goes to any server and nothing is saved.