This is a chart of the S&P 500 going back to the early 1980's. Two of W.D. Gann's techniques are added to this chart. One is Gann Angles which look like trend lines. The other is a Gann Grid which looks like a criss-crossed checkerboard.
S&P 500 Index (click to enlarge)
Gann believed that the ideal balance between time and price exists when prices rise or fall at a 45 degree angle relative to the time axis. This is also called a 1 x 1 angle (i.e., prices rise one price unit for each time unit).
Gann Angles are drawn between a significant bottom and top (or vice versa) at various angles. Deemed the most important by Gann, the 1 x 1 trendline signifies a bull market if prices are above the trendline or a bear market if below. Gann felt that a 1 x 1 trendline provides major support during an up-trend and when the trendline is broken, it signifies a major reversal in the trend. Gann identified nine significant angles, with the 1 x 1 being the most important:
1 x 8 - 82.5 degrees
1 x 4 - 75 degrees
1 x 3 - 71.25 degrees
1 x 2 - 63.75 degrees
1 x 1 - 45 degrees
2 x 1 - 26.25 degrees
3 x 1 - 18.75 degrees
4 x 1 - 15 degrees
8 x 1 - 7.5 degrees
Note that in order for the rise/run values (e.g., 1 x 1, 1 x 8, etc) to match the actual angles (in degrees), the x- and y-axes must have equally spaced intervals. This means that one unit on the x-axis (i.e., hour, day, week, month, etc) must be the same distance as one unit on the y-axis. The easiest way to calibrate the chart is make sure that a 1 x 1 angle produces a 45 degree angle.
Gann observed that each of the angles can provide support and resistance depending on the trend. For example, during an up-trend the 1 x 1 angle tends to provide major support. A major reversal is signaled when prices fall below the 1 x 1 angled trendline. According to Gann, prices should then be expected to fall to the next trendline (i.e., the 2 x 1 angle). In other words, as one angle is penetrated, expect prices to move and consolidate at the next angle.
Gann developed several techniques for studying market action. These include Gann Angles, Gann Fans, Gann Grids and Cardinal Squares.