Part I: Core Principles and Philosophy

The Foundation of Market Forecasting

W.D. Gann's forecasting methodology rests on three fundamental premises:

1. Mathematics as the Only Exact Science: All market movements can be solved through mathematical calculations
2. Time Supremacy: Time overrides both price (space) and volume in determining market movements
3. Historical Repetition: The future is a repetition of the past, with markets moving in predictable cycles

The Geometric Framework

The system employs three primary geometric figures:

• The Circle: Master measurement tool using 360 degrees for both time and price
• The Square: Used for determining resistance levels and trend changes
• The Triangle: Applied in measuring price and time relationships

Part II: Technical Implementation

Chart Construction Requirements

The Angle System

The 45-Degree Angle (1×1)

• Definition: One unit of price per one unit of time
• Significance: The most important angle in the system
• Application:
  • Market above 45° = Strong/Bullish position
  • Market below 45° = Weak/Bearish position
  • Breaking this angle signals probable trend change

Bullish Angles (Acute)

Angle	Designation	Price/Time Ratio	Degrees
2×1	Strong Bull	2¢ per time unit	63.75°
4×1	Very Strong	4¢ per time unit	75°
8×1	Extreme Bull	8¢ per time unit	82.5°

Support Angles (Obtuse)

Angle	Designation	Price/Time Ratio	Degrees
1×2	First Support	0.5¢ per time unit	26.25°
1×4	Second Support	0.25¢ per time unit	15°
1×8	Major Support	0.125¢ per time unit	7.5°

Squaring Time and Price

This technique, described as Gann's most valuable discovery, identifies major turning points when:

• Price movement (in points) equals time period (in days/weeks/months)
• Example: A 24¢ advance in 24 days creates a "square"

Part III: Time Cycles

Great Time Cycles

These major cycles mark periods of extreme highs or lows:

Cycle	Years	Geometric Basis	Significance
90-Year	90	90° arc (Sunrise to Noon)	Very important for long-term movements
82-84 Year	82-84	Natural cycle variation	Major trend reversals
60-Year	60	1/6 of 360° circle	Comparing long-term tops and bottoms
49-50 Year	49-50	225°-240° in second circle	Critical for wheat extremes
45-Year	45	Most important angle	Fundamental cycle period
30-Year	30	1/12 of 360° circle	Half of 60-year cycle
20-Year	20	240 months (2/3 of 360°)	One-third of 60-year cycle

Minor Time Cycles

Shorter-term cycles for intermediate analysis:

Cycle	Years	Key Application
13-Year	13	Intermediate trends
10-11 Year	10-11	135 months = 3/8 of 360°
7-Year	7	Very important (multiples: 14, 21, 28)
5-Year	5	Minor trend changes
3-Year	3	Short-term cycles
2-Year	2	Annual comparison
1-Year	1	Seasonal movements

Intraday and Short-Term Rules

Part IV: Mathematical Laws

The Law of Twelve

Market movements obey the law of 12 and its multiples:

• Key periods: 12, 24, 36, 48, 60, 72, 144 months
• The square of 12 (144) holds special significance

The Rule of Three

"Everything moves in threes" - Critical observation points:

• Third day, week, and month for trend changes
• Market campaigns typically have three sections
• Third section often marks major culmination

The Number Seven

The seventh period is often "most fatal" for trends:

• 7th week (49th day) frequently marks rapid changes
• 7-year cycle from major tops/bottoms
• Multiples of 7 create harmonic time periods

Price Divisions

Market fluctuations based on eighths of the whole ($1):

Fraction	Cents	Degrees	Significance
1/8	12.5¢	45°	Minor support/resistance
1/4	25¢	90°	Cardinal point
3/8	37.5¢	135°	Fixed cross angle
1/2	50¢	180°	Major halfway point
5/8	62.5¢	225°	Fixed cross angle
3/4	75¢	270°	Cardinal point
7/8	87.5¢	315°	Fixed cross angle
1	100¢	360°	Full circle completion

Part V: Practical Application

Market Structure Analysis

Markets typically move in distinct sections:

1. First Section: Initial move from extreme
2. Second Section: Correction and consolidation
3. Third Section: Final drive (often strongest)
4. Fourth Section: Exhaustion phase (if present)

Trend Determination Checklist

The Concept of "Lost Motion"

Borrowed from mechanics, this principle accounts for minor overshoots:

• Markets may exceed angles by 2-2.5 cents
• True breakout confirmation requires exceeding this margin
• Prevents false signals from minor penetrations

Part VI: Advanced Concepts

Cardinal and Fixed Crosses

Cardinal Cross

Formed by 90°, 180°, 270°, and 360° angles

• Represents major structural points in time and price
• Often coincides with significant market turns

Fixed Cross

Formed by 45°, 135°, 225°, and 315° angles

• Secondary but powerful measurement points
• Used for intermediate trend analysis

Seasonal Trends

"Nature's natural curve" for grains:

• August-January: Typical seasonal decline
• February-June: Seasonal advance period
• Reflects Earth's annual agricultural cycle

Integration of Multiple Timeframes

Conclusion

W.D. Gann's forecasting system represents a comprehensive mathematical approach to market analysis, integrating geometry, astronomy, and natural law. Success requires:

1. Precise chart construction and angle measurement
2. Understanding of cyclical time periods
3. Recognition of mathematical relationships between time and price
4. Patient observation of market structure and sections
5. Disciplined application of trend determination rules

The system's power lies not in any single element but in the synthesis of all components working in harmony, reflecting what Gann described as the geometric perfection underlying all market movements.