2016issue C1311
Constructing wave cycles, Fibonacci spans, and time-price squares
Editorial framing: wave-and-ratio work is taught here as a three-layer construction job. Label an eight-wave skeleton, measure the countertrend legs with 0.618-family spans, then map the resulting price onto a circular time-price grid so the finished chart is one hypothesis that can be tested.
- A wave cycle is an eight-wave unit: an impulse wave of five numbered, alternating-direction waves, then a correction wave of three alternating waves labeled a, b, and c.
- An abc correction starts against the prevailing trend, retraces that first leg, and finishes with a third countertrend wave; a zigzag uses a 5-3-5 subdivision with a defined wave B limit.
- Wave A and wave C are measured as Fibonacci spans and compared with the golden ratio of 0.618 so later price objectives can be projected from the labeled structure.
- A time-price square maps that price onto degrees of a circle so price, time, and pattern can be compared on one geometric scale.
Three construction layers
Editorial note: this lesson treats wave-and-ratio work as a three-layer construction job. First assemble an eight-wave skeleton so the impulse wave and the correction wave are labeled as testable parts. Next measure the countertrend legs with 0.618-family spans. Then convert the resulting price number onto a circular time-price grid.
The archive facts describe that historical workflow. Editorial reading: the layers are a way to state a chart hypothesis, not a description of how a market must behave.
Build the eight-wave skeleton
Elliott wave construction treats a complete market cycle as five waves in the trend direction followed by three countertrend waves, an eight-wave unit.
A full wave cycle is built from an impulse wave of five numbered, alternating-direction waves plus a correction wave of three alternating waves labeled a, b, and c.
Assemble the abc correction
An abc correction is assembled as a three-wave countertrend. The first wave starts against the prevailing trend, the second retraces that wave, and the third finishes the countertrend move.
A zigzag in an advancing market is constructed as a 5-3-5 three-wave pattern whose wave B peak stays below the start of wave A. The same pattern is inverted in a declining market.
Measure Fibonacci spans
When those countertrend legs are measured, wave A and wave C price spans are compared with ratios drawn from the Fibonacci series.
The same Fibonacci ratios are applied to measured price spans so later price objectives can be projected from the labeled structure. That measured price distance is a Fibonacci span.
The golden ratio used in that measurement is the ratio of consecutive Fibonacci numbers and equals 0.618. A golden-section split divides a length so the smaller-to-larger part equals the larger-to-whole part, a proportion that remains 0.618.
Map the price onto a time-price square
A time-price square maps a market number such as a price onto degrees of a circle so price, time, and pattern can be compared on one geometric scale.
Editorial reading: the price number that comes out of the labeled Fibonacci span is the market number placed on that circular grid, so the wave labels, the 0.618 spans, and the geometric scale can be read together.
State one chart hypothesis
Editorial reading: after the eight-wave skeleton is labeled, the countertrend Fibonacci spans are measured, and the resulting price is mapped onto the time-price square, the three layers form one chart hypothesis that can be kept or discarded when later price action arrives.
All readings on this track · 12 readings
- 1988Four sugar-futures turns as a ranked wave-ratio audit
- 1989Cluster-first construction of change-in-trend days from two ratio families
- 1992Wheat bull leg from a squared counterswing and Gann angles
- 1999Log-spiral wave construction from seed pivots
- 1999Compound pivots and market symmetry
- 1999Squaring charts for Gann angles
- 2007Constructing Gann time-price squares, angles, and 144 grids
- 2010Constructing Gann angles to square price and time
- 2011How a Lucas time series is built onto an Elliott wave map
- 2013Time-price boxes for wave-four construction
- 2016Gann circle eighths, Fibonacci neighbors, and time-price squares
- 2016Constructing wave cycles, Fibonacci spans, and time-price squares