How the anchor, root increment, and angle connect
The Gann Square of 9 calculator applies a square-root price mapping. P is the positive anchor number exactly as entered. For each angle θ, set d = θ / 180. The upper level is (√P + d)²; the lower level is (√P − d)² while √P − d is nonnegative. A 45° step adds 0.25 to the root, 180° adds 1, and 360° adds 2. These angle labels describe the numeric mapping, not the visible slope of a line on your screen.
This is the fixed-anchor formula documented in the Sierra Chart Square of 9 reference, with level 1, price multiplier 1, and automatic adjustment off. The lower-root cutoff is an explicit boundary in this calculator. It does not reproduce every spiral chart or vendor setting.
Recalculate every level from an anchor of 100
This is a hypothetical input, not a market quote. Since √100 = 10, the 135° row uses d = 0.75: (10 − 0.75)² = 85.5625 and (10 + 0.75)² = 115.5625. Every row below starts again from 100; the calculator does not compound the price in the previous row.
| Angle | Root increment | Lower level | Upper level |
|---|---|---|---|
| 45° | 0.25 | 95.0625 | 105.0625 |
| 90° | 0.5 | 90.2500 | 110.2500 |
| 135° | 0.75 | 85.5625 | 115.5625 |
| 180° | 1 | 81.0000 | 121.0000 |
| 225° | 1.25 | 76.5625 | 126.5625 |
| 270° | 1.5 | 72.2500 | 132.2500 |
| 315° | 1.75 | 68.0625 | 138.0625 |
| 360° | 2 | 64.0000 | 144.0000 |
The quote unit changes the answer
Suppose the same hypothetical asset is quoted at $100 or 10,000 cents. Applying the 180° increment directly to each number gives:
| Entered anchor | Lower output | Upper output | Converted back to dollars |
|---|---|---|---|
| 100 dollars | 81 dollars | 121 dollars | $81 / $121 |
| 10,000 cents | 9,801 cents | 10,201 cents | $98.01 / $102.01 |
Converting the output back does not undo the change in the calculation. To keep the original dollar-based mapping when a feed supplies cents, divide the input by 100 before calculating. Choose the unit before testing a rule and keep it fixed. Split adjustments and switching contract quote conventions can also change the anchor number. The Optuma Square of 9 Fan documentation likewise identifies Price Unit as a setting; its fan also adds a time axis that this tool does not calculate.
Where the calculation stops being a useful level
- At P = 1, the 180° lower root is zero and the lower output is 0. At 225°, it is negative, so the result is Outside range. Squaring that negative root would turn the lower sequence upward again; this calculator omits it.
- Inputs must be finite, greater than zero, and at most 1,000,000,000,000. The upper limit keeps numeric precision useful. No negative-price instruments are supported.
- Four decimal places are display precision, not exchange tick precision. Very small positive outputs use scientific notation. Round to the actual tick size of the instrument separately before defining an order.
- A level can be crossed without a reaction, or skipped during a gap. The formula contains no probability, volume, time, spread, or execution model. It cannot establish a profitable trading rule.
Carry a fixed hypothesis into the chart
Record the anchor price and timestamp, quote unit, selected angle, and the condition you intend to observe. For example: with the hypothetical anchor fixed at 100 dollars, observe a completed bar closing above the 180° upper level of 121 dollars. A touch, a close, and an intrabar alert are different events; specify which one counts before inspecting later bars.
Do not replace the anchor with a later swing that was unknown at the original decision time. Save the original rule, chart screenshot, and outcomes so a failed observation remains part of the record. The TradingView workflows hub covers the wider process of specifying and checking chart rules.
The TradingView Gann Square drawing tool has price and time anchors and a price-to-bar ratio. A matching name does not imply its drawn levels match this calculator. Compare anchor, unit, and settings before comparing outputs.
Educational calculations only, not investment advice. Documentation checked October 21, 2026. No predictive accuracy is claimed.