Savings & investing

Gann Square of Nine calculator

Create a geometric price-level grid using an explicit square-root convention. These levels are arithmetic outputs, not trading signals.

User-entered rates and assumptions; no tax-year calculationUnited Kingdom; mathematical model with user-entered termsReviewed 15 October 2026

Your figures

Example values shown

Replace the example with your details, then calculate.

price units
multiplier
Choose explicitly. For example, a scale of 10,000 changes a price of 1.1 to 11,000 before taking its square root.

Your inputs stay in this browser. No account needed.

BEHIND THE NUMBERS

How this calculation works

For angle θ, upper level = [√(price × scale) + θ/180]² / scale. Lower level = [√(price × scale) − θ/180]² / scale only while the term in brackets remains non-negative. One full 360° turn changes the square root by 2.

Worked example

The square root of 100 is 10. At 45°, add 0.25 and square: 10.25² = 105.0625. At 360°, the upper and lower levels are 12² = 144 and 8² = 64.

Example result: 105.0625

Why another grid may disagree

One observed calculator treats 360 degrees as a root increment of 1, while others use 2. This page states and uses the latter convention throughout. A scale change also changes the levels, even when the unscaled reference price is identical.

Lower levels stop at a zero square root

Continuing to square a negative root displacement would make the supposed lower levels rise again. Those rows are marked outside the supported lower range rather than being presented as support levels.

Assumptions and rounding

  • Reference price and scale are entered by the user; levels are shown every 45 degrees.
  • Display up to six decimal places without intermediate rounding.

Questions about this calculator

Does this fetch a current market price?

No. Enter the exact reference price and scale you want to study.

Are these buy and sell signals?

No. The calculation constructs a fixed grid from one price and does not evaluate whether a trade has an advantage.