Claud,
Here's a previous attempt to start a Speedline discussion that you may find something useful in?
Osci
Before computers, W. D. Gann pioneered a series of trendlines at different degrees of steepness using 4x4 graph paper. A 1x1 Gann line moves at the rate of 1 unit price, 1 unit time. A 2x1, 2 units price, 1 unit time. Fast markets, 4x1, 8x1. Slow markets, less than 45 degrees, 1x2, 1x4, 1x8, only 1 unit price movement over extended time, 2, 4 or 8 boxes.
Plastic transparent chart overlays imprinted with these various degrees of trendlines were super imposed over various pivots, seeking relationships between previous and present price. Important support/resistance was a 1x1 gann line from an all time high/low and represented a true 45 degree trendline. Gann called these overlays Time/Price calculators and I've a series of them. Scaling being different for each market the overlays are labeled which market they were sampled from.
Only my theory. Accelerations and reversals contain mathematical
relationships to previous ones creating a maze of geometrical connections between pivots. Due to scaling problems, particularly since we no longer use 4x4 graph paper, Speedlines were invented. A fractal sample of a market containing a speedline golden section can anticipate the future. Markets tend toward specific rates of acceleration, fast or slow, acceleration mimics the past. Preferred degrees of steepness in trendlines are repeated in the future. To paraphrase Gann : There is nothing new under the sun. The future is only the past entered by a different gate.
Speedlines exhibit where a branch in trend is related by .5, .618, .382 to previous trends. This matrix exists mathematically as strange fractal attractors. Magnetic splines that attract or repel. It can be calculated by computer without geometrically drawing the lines. .333/.666 maybe a preferred relationship. A relationship may exist without necessarily being a "natural" number, however the degree of variance between angles remains constant once the cadence is set. Fast market accelerates at the same angle as the last fast market or entrophies to a more sustainable velocity.
Are pivots and trendlines geometrically related? Can a box representing previous price action be successfully anchored to newly formed pivots and have any validity? Hopefully this method of measuring speed, velocity,acceleration is viable. If I'm searching in the wrong area, please advise, as I am sincerely attempting to tie together many different lines of thought. |
