The Compass Rose

Gann divided the 360° circle into eight equal parts — 45° increments — and drew lines radiating from significant highs and lows. These are his angles, and they function like the bearings on a compass rose: they tell you the market's heading relative to its point of origin.

The 1×1 angle is the 45° diagonal — the balance line where one unit of time equals one unit of price. It is the equator of Gann's world. Price above the 1×1 is a bull market in a strong position; price below is a bear market in a weak position.

But Gann did not stop at one angle. He drew a full family: fast angles that catch power trends, slow angles that guard against collapse, and intermediate angles that most traders forget. Together they form a complete navigation system.

1. The Complete Bearing Table

Each angle has a specific speed, measured in price units per time unit. The steeper the angle, the faster the expected rate of advance or decline.

2. The Penetration Cascade

Angles do not break randomly. When price penetrates one angle, it gravitates to the next like water finding the next lowest channel. Gann called this the penetration cascade, and it is one of the most reliable patterns in his method.

This cascade is not a suggestion — it is a geometric law. When price has followed the 2×1 upward and then breaks the 1×1, it will almost always find temporary rest at the 1×2. If the 1×2 fails, the trend has changed. Do not hope for a miracle. The compass does not lie.

3. The Three Most Important Angles

Gann watched three angles above all others: the 2×1, the 1×1, and the 1×2. These three contain most price movement and provide the majority of timing signals.

The Fast Angle: 2×1

Rising prices that follow the 2×1, then break away to the 1×1, are usually in the middle phase of their move. This is critical information. The time count from the angle's origin to the breakaway point, projected forward from the breakaway, often marks the trend's culmination within a couple of days.

The Balance Angle: 1×1

The 1×1 is the 45° line of perfect equilibrium. It provides major support in an uptrend and major resistance in a downtrend. A close below the 1×1 in an uptrend is a reversal signal. But remember: the 1×1 is not always '1 price unit per 1 time unit.' For hogs it may be 0.025 per unit. For bonds, 3.125. For the S&P 500, 200 points. Scale is everything.

The Slow Guard: 1×2

After the 1×1 breaks, the 1×2 is the first line of defense. It is the angle where low-priced, slow-moving markets live. If price cannot hold the 1×2, the voyage is over.

4. The Forgotten Angles: 2×3 and 3×2

Most traders ignore the 2×3 and 3×2 angles. This is a mistake. These angles are sometimes the exact rate at which price moves from lows or highs, and they depend on the current market price relative to its overall history.

Securities trading near $33.00 or $66.00 are especially sensitive to these angles. Why? Because 2×3 and 3×2 relate to the 2:3 ratio, and these price levels harmonize with that geometry. Look at past price movements and observe the relationship to odd angles (1×3, 2×3) and even angles (1×2, 1×4). When your vector and scale are correct, all timing angles flow with price.

5. The Critical Barrier: 1×8

The 1×8 is the slowest angle and the most dangerous to ignore. It is not merely a support line — it is a geometric barrier that guards against a full 1/4-circle retracement.

Here is the geometry: draw an arc from a low to directly over that low. That is a 90° arc — one-quarter of a circle. Gann observed that 7/8 of a move upward is often retraced geometrically, which equals approximately 1/4 of the circle. The 1×8 angle is the barrier that keeps price from falling all the way back to the start of that quarter-circle.

If the 1×8 is penetrated and broken, price usually goes much lower. It may take weeks, months, or even years to test this angle, depending on your timeframe. When it finally arrives, pay attention.

6. Price-Level Sensitivity

Not all angles are 'active' at all times. A $5 stock and a $500 stock do not sail on the same bearings. You must select your active angles based on the security's price and volatility.

Warning sign: if the majority of daily ranges fall below a rising angle, even if price is moving up, the market could break down at any time. The angle is too steep for the actual volatility. Reverse this logic for markets above descending angles.

7. Worked Example: S&P 500 Angle Symmetry

Consider the S&P 500 in a clear uptrend. We draw Gann angles from a confirmed major low.

Step 1: Identify the first significant high after the low — this is Wave 1 in Elliott terms. Draw a 1×2 angle from the low to connect this first significant high. This sets the symmetry of the move.

Step 2: Watch price action relative to the 1×1 angle drawn from the same low. In a healthy uptrend, price stays above the 1×1. If the 1×1 splits price and catches the final high before a sell-off, the market is in a weak position — beware.

Step 3: Once symmetry is established, wait for the market to come back to the 1×1 on a retracement. Buy on a breakout to the upside once the angle is touched and holds. This technique is effective even on hourly charts for day trading.

8. Common Mistakes

9. Psychology: Calm Endurance

CALM ENDURANCE is essential but difficult. Most traders lack the patience to wait for moves to culminate.

The angles work. The practitioner fails. The 1×8 may take 26 weeks to test. A monthly chart setup may take months or years to develop. The compass rose gives you the bearing, but it does not tell you how long the voyage will last.

The trader who checks angles every hour and panics at every wick is not using Gann's method — he is abusing it. Set your bearings. Mark your squares. Then wait. The market will come to your angle when it is ready, not when you are bored.

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