Square of 9 Navigator

How This Works

  1. The Square of 9 is a spiral where each full rotation (360°) corresponds to adding or subtracting 2 from the square root.
  2. The square root of your price equals the number of calendar days to count out from a major high or low.
  3. To find the 180° opposite number, add 1 to the root and re-square: (√P + 1)².
  4. To move one full cycle inward, subtract 2 from the root: (√P − 2)².
  5. To move one full cycle outward, add 2 to the root: (√P + 2)².

Harmonic Numbers

How This Works

  1. Add the all-time high and all-time low. The midpoint is half this sum.
  2. The 1/3 and 2/3 levels divide the range into harmonic segments.
  3. Rule of Three: For prices with decimals (e.g. 1186.50), make 3-digit and drop the decimal: 118. This number of days/weeks/months out is a harmonic timing point.
  4. Your harmonic numbers (ATH, ATL, midpoint, 1/3, 2/3, Rule of 3) become the foundation for constructing static and variable squares.

Worked Example: Soybeans High 609

Input: Price = 609

Square Root: √609 = 24.677 → 24–25 calendar days out = timing point.

One Cycle In: 24.677 − 2 = 22.677 → 22.677² = 514. The actual seasonal low was 422 (close to the second cycle in at 427).

180° Opposite: 24.677 + 1 = 25.677 → 25.677² = 659.3. This is the price level where the 1×1 angle would intersect on day 24–25.

Calendar Day Formula: From the low of 257, √257 = 16.03 → 16 days out. The 180° opposite is 289. The difference (289 − 257 = 32) is added to the low on day 16. The 1×1 crosses 289 on day 16.

Parent Guide: For the theory behind these calculations and how to apply them on a chart, see The Great Circle. For angle interpretation, see The Compass Rose.
← Back to The Great Circle

Related Guides

The Great Circle

Master the Square of 9, time-price overlays, and harmonic number discovery.

Advanced

The Cartographer's Grid

Verify chart scale, identify swing points, and set your reference frame.

Beginner

The Compass Rose

Master Gann's nine angles, the penetration cascade, and price-level sensitivity.

Intermediate

The True Square

Square time and price using the three core methods.

Intermediate

Stockhelm is a market intelligence publication dedicated to helping investors navigate uncertainty with clarity, discipline, and the right instruments. This dispatch is for informational purposes and does not constitute investment advice.