2011issue C087-26
How a Lucas time series is built onto an Elliott wave map
A published construction plots an inclusive Lucas bar count from a completed swing, then checks Elliott wave labels against a Fibonacci price zone and a time-price square so the three readings can be tested together.
- A Lucas series is generated from seeds 2 and 1 by the same additive recurrence used for Fibonacci, so successive terms converge on the golden ratio and can be plotted as bar intervals from a chosen swing.
- Price rotation sets the launch rule: an uptrend is counted low to high to low and a downtrend high to low to high, and the next series starts only from the completed swing that matches that path.
- A time-price square pairs a Lucas bar count with a Fibonacci price zone and requires candlestick confirmation, because a price-only Fibonacci level leaves the duration of a divergence unspecified.
- The same joint sequence is used to check whether a candidate Elliott wave boundary also sits on an F-L time count and a deeper Fibonacci relationship between waves.
What is being constructed
The archive workflow starts from an existing Elliott wave map: a labeled swing map of motive and corrective price structure used to locate where a new impulse or correction should begin. A Lucas series is then plotted as bar intervals from a marked swing and used as the time axis of the square.
Fibonacci retracement remains a measured pullback or extension taken from a completed swing and used as a candidate price zone for the next reaction. In this construction that zone is paired with the time count rather than read alone.
How the Lucas series is plotted
A published Lucas count is generated from seeds 2 and 1 by the same additive recurrence used for Fibonacci, so successive terms converge on the golden ratio and can be plotted as bar intervals from a chosen swing.
The programmed inclusive sequence used in the construction is 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, and 3571.
On a five-minute December 2010 euro FX futures chart, three Lucas series are launched from distinct marked swings and major turns are boxed where those counts land.
Price rotation as the launch rule
Price rotation supplies the launch rule: an uptrend is counted low to high to low and a downtrend high to low to high, so the next series starts only from the completed swing that matches that rotation.
Building the time-price square
A time-price square aligns a counted bar interval with a measured price swing so a turn is hypothesized only when both axes coincide. Here the time axis is the Lucas series and the price axis is a Fibonacci zone.
The square is formed by pairing a Lucas bar count with a Fibonacci price zone and requiring candlestick confirmation, because a price-only Fibonacci level leaves the duration of a divergence unspecified.
Checking Elliott wave labels together
The same joint sequence is presented as a way to reduce subjectivity in Elliott wave labeling by checking whether a candidate wave boundary also sits on an F-L time count and a deeper Fibonacci relationship between waves.
That joint reading of time count, price zone, and candle confirmation is the information matrix that makes a wave label falsifiable.
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