The gann wheel is a square root calculator

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The Gann Wheel, what most people probably think of as the Square of Nine, is sometimes called a "Square Root Calculator" or a device that "Squares the Circle." This simple illustration may explain how and why these terms came about. You probably recognize that the illustration is just the first few rings of a Gann Wheel with the numeral "1" at the center.


















































In Square of Nine parlance we say things like 19 is 90 degrees from 15. That makes sense only if you can visualize that this rectangular table of numbers is enclosed in a circle (or series of circles) of 360 degrees. In this case, the number 19 is 1/4 the way around the circle from the number 15, or 90 degrees in circumference from 15. The number 34 is directly above the number 15 and positioned one circumference or one ring outside the circle that contains the number 15. In the same sense that we can say that 19 is 90 degrees from 15, we can say that 34 is 360 degrees from 15, or one complete rotation of the circle from 15. That explains where squaring the circle comes from. A more accurate expression would be that we're circling the square but that never did catch on.


Here's where it gets fun. The square root of 15 is 3.87. Add two to the square root of 15 and we get 5.87. Square 5.87 and we get 34.49 which rounds to 34. Now we know that adding two to the square root of a number and squaring that sum is the same thing as a 360 degree rotation up on the Gann Wheel. If "2" represents a 360 degree rotation then "1" represents a 180 degree rotation, "0.5" a 90 degree rotation, and so on. W.D. Gann tells us that 90 degrees in very important in the stock market. What Gann is really saying is that adding and subtracting .5 (and exact multiples or proportions of .5) to the square root of a stock price and then squaring the result is very important! We acknowledge that there is is another school of Gann thought that will say that Gann's reference to 90 degrees relates to the movement of celestial bodies. We've looked into that and they may be right, but for our purposes we've also learned that these schools of thought can peacefully exist alongside each other without contradiction.

A very few people have been using some variation of the Gann Wheel for about 100 years now. In his now famous interview given to Richard D. Wyckoff in 1909, W.D. Gann attributed market movements to some undefined "law of vibration." People can disagree about what W.D. Gann meant by that but we, at least, are fairly certain he was talking about the principles underlying the Square of Nine.


The Square of Nine is unique because unlike every other method of technical analysis, the Square of Nine is totally indifferent to whether the input variable is a price, a range of prices, or a number of trading days or calendar days. They are all the same and completely interchangeable.

Say what? That can be a little hard to get your brain around after spending years studying chart patterns, exotic moving averages, and oscillators. That's the beauty of it. Price and time become interchangeable by converting them to degrees of a circle. Squares and square roots are part of that process. Once price and time are conceptualized in degrees of concentric circles we could care less about their magnitude. At that point we care only about their orbital relationship. Are they in opposition, conjunction or square?

Is this what W.D. Gann meant in that Wyckoff interview when he said "just as the pendulum returns again in its swing, just as the moon returns in its orbit, just as the advancing year over brings the rose of spring, so do the properties of the elements periodically recur as the weight of the atoms rises." One other very special aspect of the Square of Nine is that the more you study the more you learn how much you don't know!


Any mention of WD Gann is usually preceded or followed with 'legendary trader.' I suppose that's appropriate because no other stock or commodities trader, R.N. Elliott excepted, has achieved near cult status. The biggest difference between Gann and Elliott is that the latter published his work and freely divulged his "secrets." $5,000 courses notwithstanding, Gann never did. In a 1922 interview when WD Gann was asked to reveal the cause behind his incredibly accurate time factor, he responded, "That is my secret and too valuable to be spread broadcast. Besides, the public is not yet ready for it."

WD Gann was many things. Above all he was a prolific researcher and writer. Unfortunately much of what Gann wrote, as well as much of what has been written about him, is so mystifying, complicated, and convoluted that most Gann students give up disappointed in spirit and lighter in the wallet. I have paid more for one Gann book than I did for my first car, and the car was a lot more useful!  Most of what's available on the Gann Wheel and the Square of Nine is no exception.

WD Gann is reported to have carried two pieces of paper onto the stock and commodities trading floor. A 9x9 table of the numerals 1-81, and a table of numerals that has come to be known as the Gann Wheel. He specially configured for the day's activities. WD Gann sold a variety of trading courses for more than 50 years and so far as we know not one of them ever explained in detail what he did with that 9x9 table or with that other table of numerals, or anything else related to the Square of Nine. Maybe he thought nobody would believe him.

We traveled the usual hyper expensive Gann book route and departed disappointed in spirit and lighter in the wallet but captivated with Gann's comments like  " When price and time square change is inevitable " - captivated enough to gather all the fragments of information we could find in WD Gann's work and in others that had had written about the Square of Nine and the Gann Wheel and how it could be applied to stock, options and forex trading. I do not recall a Eureka Moment but at some point it all came together after we were introduced to an uncomplicated formula that converted price and time to degrees of a circle. Out went the Gann Wheel, the overlays, and table size charts for a cheap calculator and a pencil. We found some Square of Nine magic and never looked back! It is a good feeling when people tell us they got more out of our little ebook than the stuff they spent literally thousands of dollars on. 

It's a difficult concept to get your mind around but price and time are not only related, they are interchangeable. With our ebook you can take a price, a range, the number of trading days, or the number of calendar days and figure out exactly when each or all of them will square at any time in the future. The formulae for converting price and time to degrees of a circle, and for finding all the future prices and times when a pivot high or pivot low will square on the Square of Nine, and the method for constructing Square of Nine Roadmap charts from a plain price chart are a solid foundation for making the Square of Nine your own without ever touching a paper Gann Wheel. Learning through the examples in the ebook the five ways that the markets square price and time can provide you with knowledge that may not be obtainable by any other means.

The purpose of this work is to explain concisely and in detail simple mathematical and graphical techniques for applying WD Gann's Square of Nine to real world stock, stock option, and forex trading situations. The Square of Nine is not your usual method of technical analysis.  It's like nothing you've ever seen. A completely unrelated technique that either confirms or contradicts your usual methods can be invaluable when making decisions. The Square of Nine is not the magic bullet, although it can seem like it at times. It is about as objective as it gets. Either price and time square or they don't.

The ability to draw Roadmap charts in seconds after a change in trend and to use a mathematical formula to check for squaring may even make this modern implementation of the Square of Nine better than what Gann himself had. The recent squaring of price and time in the Bonds is powerful proof of the effectiveness of this magical tool. If we followed Bonds closely we would have known on March 23 that price and time would square on June 3, although we would not have have know at that time that June 3 would be the swing high.

There is nothing else to buy. You do not need an expensive Gann Wheel, or overlays, or compasses or anything else that gets sold in the usual Gann course. We show you step-by-step exactly how to determine with a simple mathematical formula when price and time square for any ticker in any time frame. Unless you're really good with square roots you will need a cheap calculator. To accelerate your learning speed we are making a beta version of the training software to draw the Roadmap Charts available at no cost to current and past purchasers of this ebook.

Using the Look-Ahead feature of this mathematical application of the Square of Nine, you could have determined to watch for a change in Crude's bullish trend less than 1 point from a major high.

So far as we know the totality of information in this ebook is not available from any other single source at any price. Included as appendices are excerpts from WD Gann's original works: "Why Geometrical Angles Work on Stocks," "The Master Mathematical Price, Time and Trend Calculator" and others.

June 2, 2003

The price of this ebook is $34.00. This ebook is in Adobe Acrobat (PDF) format. Adobe Reader is required and may be downloaded for free at This ebook is 58 pages, single space, 11 point Arial type with charts and illustrations.

If you are not 100% satisfied, just let me know within 90 days for a full refund. And keep the e-book free, with my compliments - that way, you risk nothing. If you have any other questions or concerns about the material you can call Peter at (561) 654-4129.

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