Constructing Gann angles to square price and time

Draw a constant-rate path

Geometric angle lines are drawn from selected highs or lows on short-, medium-, or long-horizon charts at a fixed time-to-price ratio. Each line creates a constant-rate path that can be extended beyond the last printed bar.

Those lines are gann-angles: fixed-ratio rays drawn from a completed high or low that advance at a constant number of price units per time unit.

Lock the finished swing

A fan is anchored on a major high and low, historically after reviewing at least 10 years of data. The fan is then scaled so the measuring ray runs from that low to that high. The tracing path may be the 1x2 rather than the 1x1.

The working fan set is named by price-per-time velocity: 1x4, 1x2, 1x1, 2x1, and 4x1. The 1x8 and 8x1 rays are reserved for extreme speed. Steeper rays are read as stronger momentum.

Read the 1x1 as a time-price square

The 1x1-angle is the 45-degree construction that advances one price unit per one time unit and splits a square into two equal triangles. A print on that ray is treated as a time-price square because equal units of time and price have elapsed.

A time-price square is the chart condition in which elapsed time units equal elapsed price units. It is read on a 1x1 path or counted from a zero-origin low.

Price above the 1x1 path is classified as a strong regime. Price below it is classified as a weak regime. After a break under the 1x1, the shallower 2x1, 4x1, and 8x1 paths become the next reference lines.

Halve the 144-unit grid

The construction grid is a 144-unit time-price square halved at 72 on each axis. The horizontal at 72 is 50 percent of the price range. The vertical at 72 is 50 percent of the time range. The gravity-center, the interior midpoint of that square, is treated as the strongest interior point.

That grid is the fibonacci-time-cycle overlay used here: a 144-unit time-price grid whose 72-unit midpoints and gravity centers mark candidate dates for cycle termination.

Verticals through gravity centers of the 1x1, 1x2, and 2x1 constructions, together with equal-part partitions of a completed range, are used as candidate timing and price checkpoints on the same chart.

Reuse the measured velocity on later swings

Parallel-angles are copies of a measured ray shifted to later swing highs and lows so crossings can be tested against the same velocity. A close through the copy is classified as a change of regime for that swing.

On weekly or monthly charts, a 1x1 started at zero price on the date of an important low squares when the number of time units equals that low in chart-price units. The square date can therefore be counted without drawing the ray.