W.D. Gann’s outstanding skill was his ability to produce accurate annual forecasts of the stock and commodity markets. Gann stated that his forecasts were based on his secret “time factor”. However, careful analysis of his novel entitled “The Tunnel Thru The Air” reveals Gann’s belief in the overwhelming importance of astrology.
Therefore astrology is the real basis of Gann’s annual forecasts. Indeed, astrological analysis is implicit at key points in his books and courses. Consequently it is concluded that if we wish to emulate Gann’s outstanding forecasting skills we must follow in his footsteps by firstly learning astrology and then apply this knowledge to the stock and commodity markets.
William D. Gann (1878 to 1955) was an outstanding stock and commodities trader. He was also a prolific teacher of how to make speculation a profitable profession, writing some seven books and producing two courses on trading the stock and commodity markets. However, Gann’s superlative skill was his ability to produce annual forecasts of the stock and commodity markets one year in advance. Although he also sent his clients supplements, which corrected his annual forecasts when necessary, the overall accuracy of these annual forecasts is highly impressive.
For example, Gann’s annual stockmarket forecast for 1929, which was published in November 1928, unequivocally forecast the “Great Crash” in the fall of 1929. However, Gann continued to produce and publish annual forecasts of the stock and commodity markets until shortly before his death in 1955.
THE “TIME FACTOR” IS THE KEY TO GANN’S FORECASTS
Gann’s forecasts of the stock and commodity markets were based on the “time factor”, the dictionary definition of which is “The passage of time as a limitation on what can be achieved”. Gann provided the following comments on the time factor: “The most important thing of all is the Time factor, which I use in making up my annual forecasts. It is not my object here to give away that secret, but I am showing you plain enough and giving you rules enough that, if you follow them, you will be able to make a success in the stock market” (“Truth Of The Stock Tape”, 1923, page 116).
“Many people want to know what method I use to determine future indications on the market. I keep charts of the various active stocks and also a set of averages. My charts are different from the charts of the average statistician because they are based on a discovery of my own. I have discovered a ‘time’ factor that enables me to determine important tops and bottoms one year or more in advance. My annual forecasts on stocks, issued in December for ten years past, have proved remarkably correct. The cotton and grain markets can also be forecast by this ‘time’ factor, which enables me to tell when extreme highs and lows will be made, as well as the minor moves” (“Truth Of The Stock Tape”, 1923, page 41 of appendix).
“The time factor and time periods are most important in determining a change in trend because time can over balance price, and when the time is up the volume of sales will increase and force prices higher or lower” (“45 Years In Wall Street”, 1941, page 10).
“Time is the most important factor of all and not until suffi cient time has expired does any big move start up or down. The time factor will overbalance both space and volume. When time is up, space movement will start and large volume will begin, either up or down. At the end of any important movement - monthly, weekly or daily - Time must be allowed for accumulation or distribution or for buying and selling to be completed” (“How To Make Profi ts In Commodities”, 1951, page 56).
Therefore we learn from Gann that:
The time factor is the most important element in forecasting markets; and therefore he used this time factor in producing his highly-accurate annual forecasts of the stock and commodity markets.
The time factor is so fundamental that it precedes (and therefore causes) changes in prices and changes in volume in the stock and commodity markets.
The time factor is a valuable secret, details of which he is unwilling to reveal. He is however prepared to teach trading rules which, when properly applied, produce profi ts in the stock and commodity markets.
GANN’S NOVEL ENTITLED “THE TUNNEL THRU THE AIR”
Although Gann was unwilling to explicitly reveal his time factor in his books and courses on trading the stock and commodity markets, he was prepared to leave strong clues in his novel entitled “The Tunnel Thru The Air”, which he wrote in 1927. This book describes the events in the United States leading up to the Second World War through the life of the principal character, Robert Gordon. Most importantly, in the foreword to this book Gann wrote, “’The Tunnel Thru The Air’ is mysterious and contains a valuable secret, clothed in veiled language…..When you read it the third time, a new light will dawn. You will fi nd the hidden secret…..The future will become an open book”.
Gann’s “valuable secret, clothed in veiled language” is that, as the Bible clearly states, astrology really works. This theme runs throughout the book and is highlighted in the following quotations:
“Robert was a great believer in Astrology because he had found this great science referred to so many times in the Holy Bible. He had made notes as he read the Bible at different times where it referred to Astrology or the signs in the heavens and was thoroughly convinced that the infl uence of the heavenly bodies govern our lives” (page 172).
“I believe in the stars, I believe in astrology, and I have fi gured out my destiny. The Bible makes it plain that the stars do rule” (page 66).
“Through my study of the Bible, I have determined the major and minor time factors which repeat in the history of nations, men and markets” (page 70).
“I have studied the Bible very carefully because I believe it is the greatest scientific book ever written. The laws are plainly laid down how to make a success. There is a time and a season for everything and if a man does things according to the time, he will succeed” (page 204).
“Robert had gone deeply into the Bible study in order to learn more about the great science of Astrology” (page 213).
“He read all the books he could get on astrology and began to understand why things had happened as they had” (page 215).
THE FRONT COVER OF GANN’S NOVEL ENTITLED “THE TUNNEL THRU THE AIR”
Gann’s “valuable secret” that astrology really works is not confi ned to the content of “The Tunnel Thru The Air”. Indeed, Gann subtly reveals his “valuable secret” on the cover of his book.
The illustration on the front cover of “The Tunnel Thru The Air” has three elements:
1) In the background is an interlocking compass and set square, from which comes a tunnel.
2) In the foreground is a pair of scales, on one side of which is an hourglass and on the other side is a price movement.
3) Stretching between the background and foreground is a series of interlocking squares.
The esoteric meaning behind this illustration on the front cover of the book is as follows:
The interlocking compass and set square is the symbol of the Freemasons (Gann himself was a senior Freemason). More specifi - cally, the compass (which is of course used for drawing circles) symbolizes the circle of the heavens, or the astrological zodiac. The set square (which is of course used for drawing “square” angles of 90 degrees) symbolizes the most important angle between two planets in astrology, which is 90 degrees (or a “square” aspect). Therefore the esoteric meaning behind the Freemasons’ symbol is that the great circle of the heavens and the angles between the planets (i.e. the science of astrology) is of fundamental and eternal importance.
Moreover, according to occultism, astrological forces are vibrations which are transmitted to earth via an infi nite number of longitudinal waves through the ether. Therefore the tunnel through the air in Gann’s illustration (and indeed in the book’s title) symbolizes this transmission of astrological forces from the heavens to the earth.
On one side of the scales is an hourglass, which symbolizes the time factor. On the other side of the scales is a price movement. Therefore this pair of scales symbolizes the fact that, in his forecasting of the stock and commodity markets, Gann “weighed up” or examined the time factors (i.e. the astrological infl uences) and their past, present and future impact on prices.
The series of interlocking squares symbolizes the fact that, as Gann observed, the price action of a particular stock or commodity unfolds according to a series of interlocking squares. This is the reason, according to Gann, that “Every stock makes tops or bottoms on some exact mathematical point in proportion to some previous move” (Stockmarket Course) and “Each top or bottom in wheat, or other commodities, comes out in accordance with an exact mathematical proportion to some other top or bottom” (“How To Make Profi ts In Commodities”, page 32).
In summary therefore, the illustration on the front cover of “The Tunnel Thru The Air” highlights the fact that astrological infl uences (i.e. the angles between the planets in the circle of the zodiac) are transmitted to earth (via waves which resemble tunnels through the air) and, after weighing up the historical infl uence of these astrological forces on a particular stock or commodity, one can forecast the future price movements (and in particular the future price squares).
THE BACK COVER OF GANN’S NOVEL ENTITLED “THE TUNNEL THRU THE AIR”
Gann’s “valuable secret” that astrology really works is not confi ned to the content and front cover of his book “The Tunnel Thru The Air”. Indeed, this “valuable secret” is also subtly revealed in the illustration on the back cover.
The illustration on the back cover of “The Tunnel Thru The Air” shows two sets of interlocking squares stretching to the horizon. One set is shown in the sky and one set is shown on the earth. Also shown on the earth is a pyramid inscribed with the name of W. D. Gann.
In this illustration, the squares in the sky symbolize astrological “squares” (i.e. when the planets form an angle of 90 degrees with respect to each other). The squares on the earth symbolize the unfolding of price action in the stock and commodity markets, in the form of interlocking price squares.
Here Gann is illustrating the age-old astrological saying “As above, so below”. However, Gann’s more specifi c symbolism is that the astrological squares in the heavens cause the price squares in the stock and commodity markets on earth. Gann made this point elsewhere when he stated, “We use the square of odd and even numbers to get not only the proof of market movements, but the cause” (Stockmarket Course And Commodities Course).
The fi nal point to note about this illustration is the position of the pyramid which bears Gann’s name. This is located between heaven and earth, and refl ects Gann’s view that he was a seer destined to observe astrological squares in the heavens and to forecast their infl uence on price squares in the stock and commodity markets on earth.
In summary therefore, the “valuable secret, clothed in veiled language” of Gann’s book “The Tunnel Thru The Air” is that, as the Bible clearly states, astrology really works.
GANN’S “TIME FACTOR” IS ASTROLOGY
Gann’s forecasts of the stock and commodity markets were based on the “time factor”, which may be defi ned as “The passage of time as a limitation on what can be achieved”. Since astrology may be defi ned as “The study of the effects of the trends of time”, we see that time factor may be synonymous with astrology. It therefore appears that Gann preferred to state that his market forecasts were based on the “time factor”, rather than to state that they were based on astrology. Indeed, this is certain after carefully studying Gann’s book “The Tunnel Thru The Air” and identifying its “valuable secret” that astrology really works.
The reason for Gann’s secrecy is suggested in the following quotation:
“It has taken me twenty years of exhaustive study to learn the cause that produces effects according to time. That is my secret and is too valuable to be spread broadcast. Besides, the public is not yet ready for it” (“Morning Telegraph” interview, December 1922).
Therefore Gann preferred not to reveal that astrology is the basis of his market forecasts for the following reasons:
The principle that astrology may be used to produce detailed forecasts of the stock and commodity markets is a valuable secret that had taken Gann much time and effort to master.
Gann fi rmly believed that his students should, like him, devote much time and hard work to their studies on how to make speculation a profi table profession.
Gann was well aware that the suggestion that the stock and commodity markets are governed by astrological infl uences is an astounding new paradigm, which violates the conventional wisdom and would therefore attract hostility.
This is highlighted in the following quotation:
“It appears to be a fact that Mr. Gann has developed an entirely new idea as to the principles governing stockmarket movements. He bases his operations on certain natural laws which, though existing since the world began, have only in recent years been analyzed with precision and added to the list of so-called modern discoveries. We have asked Mr. Gann for an outline of his work, and have secured some remarkable evidence as to the results obtained therefrom. We submit this in full recognition of the fact that a man in Wall Street with a new idea - an idea which violates the traditions and encourages a scientifi c view of the proposition - is not usually welcomed by the majority, for the reason that he stimulates thought and research. These activities said majority abhors” (“Ticker & Investment Digest” interview, December 1909).
GANN AND ASTROLOGY
Since Gann’s book “The Tunnel Thru The Air” reveals the “valuable secret” that astrology really works and, by implication, astrology is the basis of Gann’s stock and commodity market forecasts, one should look for evidence of the use of astrology by Gann in his other writings.
Gann’s Chapters On Forecasting In His Stock And Commodity Market Courses Gann produced and sold separate courses for trading the stock and commodity markets. These courses overlapped to some signifi cant extent. One chapter common to both courses is entitled “The Basis Of My Forecasting Method: Geometrical Angles”.
An important quotation from this chapter is as follows:
“We use three fi gures in geometry, the circle, the square and the triangle. We get the square and triangle points of a circle to determine points of time, price and space resistance. We use the circle of 360 degrees to measure time and price.
There are 360 degrees in a circle, no matter how large or small the circle may be. Certain numbers of these degrees and angles are of vast importance and indicate when important tops and bottoms occur on stocks and commodities, as well as denote important resistance levels.
Every movement in the market is the result of a natural law and of a cause which exists long before the effect takes place and can be determined years in advance” (Stockmarket Course and Commodities Course).
The esoteric meaning behind this statement is as follows:
There are 360 degrees in any circle, the largest of which is the great circle of the heavens, or the zodiac. Certain points on this zodiac (identifi ed by a precise number of degrees) are very important because they relate to specifi c stocks and to specific commodity markets.
Consequently the angles between a planet and these specifi c points on the zodiac and also the angles between two planets are very important because they signify tops and bottoms in the stock and commodity markets. Two important angles (or “aspects”, as they are called in astrology) are the square (or 90 degrees) and the triune (or 120 degrees). Since the angles between a planet and a particular point on the zodiac or between two planets can be calculated years in advance, stock and commodity markets can in principle be forecast years in advance.
It is also important to note that the above quotation by Gann was in the introduction to his chapter on forecasting by means of “Gann angles”; i.e. forecasting by using the 1 X 1, 2 X 1, 1 X 2, etc. trendlines from important tops and bottoms on price charts. Therefore the very important implication here is that (as the chapter title suggests) the basis of Gann’s forecasting method was not merely the geometrical “Gann angles” drawn on a price chart, but (more fundamentally) the geometrical angles between planets and the zodiac (which is of course astrology). In summary therefore, Gann is suggesting that the angles between the planets and the zodiac in the heavens (i.e. astrological infl uences) cause the particular angle of a trendline on a price chart, and this is the real basis of his forecasting method.
Gann’s Emphasis On Anniversary Dates And Seasonal Tendencies In The Stock And Commodity Markets Gann’s consummate book on the stockmarket was “45 Years In Wall Street” (written in 1949) and his consummate book on the commodity markets was “How To Make Profi ts In Commodities” (fi rst written in 1941 and updated in 1951). The common feature of both books is their emphasis on the importance of anniversary dates and seasonal tendencies, as the following quotations illustrate:
“My object in writing this book ’45 Years In Wall Street’ is to give you some new and valuable rules on time periods which will help to guide you in determining high and low prices in the future. In my research work I have discovered that stocks make an important change in trend in the months when they reach extreme highs and lows. These are what I call anniversary dates, and these important dates should be watched each year for important changes in trend” (“45 Years In Wall Street”, page 92).
“It is very important to watch the date when an individual commodity makes an extreme high or low. The fi rst important time period to watch from any anniversary date is third or fourth month, then around the sixth or seventh month, where many important tops and bottoms are reached” (“How To Make Profi ts In Commodities”, page 58).
The esoteric meaning behind these statements is as follows:
Certain points on the zodiac (identifi ed by a precise number of degrees) relate to specifi c stocks and to specifi c commodity markets. The sun is unique amongst the planets in that it completes one revolution of the zodiac every year. Moreover on any given day of the year the sun is in exactly the same position (in the zodiac) as it was on that day one year earlier, ten years earlier or a century earlier. Consequently the sun will aspect a particular point on the zodiac on the same day every year. This is the cause of seasonal tendencies in the stock and commodity markets (indeed, this is the cause of all seasonal tendencies on earth).
The important point to note here is that Gann emphasized the seasonal tendencies in the stock and commodity markets to encourage his students to think about and to identify the cause. The cause is the position of the planets, and in particular their angles to a specifi c point on the zodiac (which is of course astrology).
Gann’s Recommendation To Study Astrological Influences On The Commodity Markets Amongst Gann’s surviving papers are his two “astrology letters”. More specifically, in January 1954 Gann wrote to one of his students recommending that he study the astrological infl uences on the soybean market (“The longitude of the planets and the longitude of the average of the planets determine the resistance levels as the price of soybeans moves around each cycle of 24 cents per bushel”); and in March 1954 he again wrote to his student recommending that he study the astrological infl uences on the coffee market (“By studying all of the (astrological) data outlined above and applying it to coffee, you will be able to learn more about what causes the changes in trend”).
Gann died in June 1955 and therefore these astrology letters are some of his last teachings. However, it is notable that in these two short letters Gann does not reveal any clear and specifi c method of astrological forecasting of the commodity markets. Instead, Gann encouraged his student to observe, experiment and learn for himself how the angles between the planets and their angles to specifi c points on the zodiac forecast the changes in price trends. Indeed, it appears that Gann had for over fi fty years kept secret his method of market forecasting and at the age of 76 he was not simply going to reveal it to a student. Nevertheless Gann was continuing his lifelong practice of helping his students to make speculation a profi table profession by giving them guidance and letting them learn for themselves.
CONCLUSION
W.D. Gann’s highly-accurate annual forecasts of the stock and commodity markets were based on astrology. Therefore, if we as investors and traders wish to emulate Gann’s outstanding forecasting ability, it is absolutely necessary that we learn astrology. Although astrology may be learned fro a variety of sources, the present writer recommends, as a fi rst step, the correspondence courses in spiritual astrology taught by The Rosicrucian Fellowship, which may be contacted at International Headquarters, 2222 Mission Avenue, Oceanside, California 92054, U.S.A.
Once we have learned astrology, we must apply this knowledge to the stock and commodity markets. This task requires much hard work, as Gann himself observed:
“I soon began to note the periodical recurrence of the rise and fall in stocks and commodities. This led me to conclude that natural law was the basis of market movements. I then decided to devote ten years of my life to the study of natural law as applicable to the speculative markets and to devote my best energies toward making speculation a profi table profession” (“Ticker & Investment Digest” interview, December 1909).
However, Gann has provided us with specific guidance. In summary, we should obtain daily price charts which depict important tops and bottoms in the stock and commodity markets and we should then observe the following:
i)The angles between the planets (the most important of which is the 90 degrees, or “square”, angle);
ii)The angles (especially the 90 degrees angle) between the planets and particular points on the zodiac;
iii)The longitudinal position of the sun and especially its 90 degrees angle to particular points on the zodiac (because this causes the seasonal tendency in a particular market). When we have mastered how astrological infl uences affect the stock and commodity markets, we will be in a position to produce accurate annual forecasts. Like Gann, we will then become the foremost speculators and traders of our generation.
Although there are many individuals and companies around the world claiming to teach “Gann analysis” through books, courses, videotapes and computer programs, they should certainly be avoided. This is because, since none of these individuals or companies can produce an accurate annual forecast of the stock or commodity markets, they do not in fact teach Gann’s real method.
James Smithson the author of this article e-mail is smithsonjames@hotmail.com. He
is an investor and speculator based in London, England and Dallas, Texas.
In 1954, at the age of nearly 76, W.D. Gann released a course based upon mathematical rules for making market predictions. In the advertisement for this method the author of the add writes: “We will not sell the course of instructions or teach the mathematical formula for market predictions just to get money, which we do not need or have to have; we will only sell the courses to people who meet our requirements, and if we feel after a thorough investigation that a man or woman cannot make a success investing or trading we will refuse to teach them the courses”. “The Master Calculator can only be used with the Master Courses. It is not sold separate from the other courses”.
The price shown for Gann’s Master Course in this ad is $5,000.00, it does not list the additional
cost of the Master Mathematical Calculator. The ad describes the calculator as a plastic overlay that accurately measures Time, Price and Trend. Many Gann experts and students have tried to use these overlays, which require the chart to be hand drawn to a proper scale on graph paper that has 8 squares to one inch. This creates a lot of extra tedious work. This has caused one of Gann’s greatest discoveries to have been overlooked for many years. I know that some software programs have the ability to make these overlays on price charts but that is still not going to help most people because it turns out that there are also very precise mathematical rules regarding the horizontal axis or Time! .
In fact, these same mathematical rules apply to price as well but we will leave this topic for latter. The advertisement itself contains clues about the calculator, such as “W.D. Gann’s Record for 52 years”, “After fi fty-two years of experience and research going back hundreds of years, I have proved to my entire satisfaction that history repeats and that when we know the past, we can determine the future of prices”. The calculator that Gann is talking about in this ad is his square of 52 overlay, which is based upon the 52 weeks in a year. The basic overlay looks like the square in the middle of this page.
This is also the same geometric form that Gann used for the Square of 90 and Square of 144 plastic overlays. This basic structure or overlay appears in many books on Sacred Geometry and is also the secret to George Bayer’s “Trend Determination” course. Getting back to Gann and the square of 52 course we fi nd that this is the course where Gann made the confusing statement: “Within the circle forms the square, there is an inner circle and an inner square, as well as an outer square and an outer circle which prove the Fourth Dimension in working out price movements”.
This quote is describing a fractal nature or structural pattern existing in the markets that is the same on smaller levels as it is at larger levels.
Jumping over to Gann’s Angle course, on the last page, GA-32, Gann says: “Figuring $100, or
par, as a basis for stock prices and changing these prices to degrees, 12½ = 45-degrees, 25 = 90-degrees, 37½= 135-degrees, 50 = 180-degrees, 62½ = 225-degrees, 75 = 270-degrees,
82½ = 315-degrees, and 100 = 360”. This tiny little paragraph is the basis of the entire Murrey Math Trading Course, which readers of Traders World should be very familiar with since, T.H.
Murrey has written numerous articles for the magazine.
These numbers are all natural 8th numbers off of the base of 10, 100, 1000, 10000, 100000, etc. The part that is most confusing is balancing this with the time element, but based on the information given by Gann himself it should be obvious that he has already shown us part of the relationship.
For example:
If shares of XYZ stock moved up 12½ dollars in 45 days, weeks or 45 months then the stock is on the price degree of it’s time angle, that is to say that price and time are equal or balanced.
Gann’s example:
“When a stock sells at 50 on the 180th day, week or month, it is on the degree of its time angle”. “On February 1, 1915, U.S. Steel made a low at $38, which is closest to a price of $37½, which is 3/8th of 100 and equals 135-degree angle. Steel was 14 years or 168 months old on February 25, 1915, and hit the angle of 135-degrees, which showed that the price of Steel was behind time, but was in a strong position, holding at $38 above the 135-degree angle or the price $37½”. Just to make sure that you understand this information, U.S. Steel would have been balanced or “on the degree of its time angle” at a price of $46 5/8th because $100/ 360-degrees = 0.27777cents per degree and 168 months multiplied by 0.27777 = $46.67 which is closest to $46 or 5/8th in price.
Therefore, Steel is $8 5/8th behind time. I would stick to W.D. Gann’s time defi nitions when using this natural 8th system and his plastic overlays as his method has a clear degree relationship to both price and time and also to the fractal structure, which he described in the quote mentioned above. I will discuss how to set up these charts properly in terms of time latter in the article with specifi c examples. Gann goes on to say: “When Steel reached $200, it equaled 2 circles of 360-degrees (two complete cycles of $100).
When it advanced to $261¾, it was closest to $62½ (5/8th) in the third cycle of $100 or nearest the 225-degree angle or 5/8th point, which is the strongest angle after it crossed the half-way point at $250 or the 180-degree angle”. Note that Gann rejects the two circles or cycles of $100 price to convert the time angle. These instructions are also very different than what Murrey Math instructs students to do but I do not want to get into that subject.
Moving on to the subject of time we know that Gann placed great emphasis on the cardinal points of the solar year. These are the Vernal Equinox, Summer Solstice, Autumnal Equinox and Winter Solstice or March 21st, June 21st, September 21st, and December 21st respectively. Gann always said that the year begins at March 21st (not January 1st) and that this was a very important seasonal time.
Now this is where Gann’s “within the circle forms the square” quote gets real interesting! If we treat each natural year (March 21st to March 21st) as a complete circle, which it is because the earth has gone 360-degrees around the Sun, and take W.D. Gann at his word that there is a square within this orbit then we come up with some very unique geometrical information about time and squares, i.e. Gann’s plastic overlays. Lets build a hypothetical square running from Vernal Equinox to Vernal Equinox as our horizontal axis and we will use 0 to 100 as our vertical.
If we draw in the two 45-degree Angles corner to corner we have a shape that looks like a box with an x in it. The two 45’s will meet at the exact center of both price and time at $50 on the Autumnal Equinox or September 21st. If we bisect this square again with a horizontal line going left to right at $50, and a vertical line going straight up from the Autumn Equinox we can create four smaller squares with half of the x already completed.
If we complete these smaller boxes with the missing 45-degree line we will find that these points come out at $25 and $75 in price and also 25% and 75% in time or Summer Solstice to Winter Solstice (June 21st to December 21st). If we take these 4 points, which are $25 on June 21st, $75 on June 21st, $25 on December 21st and $75 on Decembers 21st and make a new square, we fi nd that our new square is exactly half the size of our former square set within the ¼ points in terms of both price and time.
Our new square also maintains the exact center of our old square at $50. This new square is now an exact musical octave of the old square because it’s based upon powers of 2 or is exactly ½ our old square. This tells us that if we want to find a square that is within our old square that we will only fi nd it between the two Solstice points in the year! If we wanted to enlarge the original square (to find an outer square) we would again follow the natural law of the musical octave, i.e. powers of 2.
The first part of the problem is easy because we know that the next square is going to be twice as large as our old square. So this means that we are moving up from a one-year square to a two-year square in terms of time but this does not answer where in time this new square begins and ends. To calculate where this larger square begins and ends we have to use the rule “as above so below”. In other words, when we made the smaller square, we found that it existed within the larger square at the 25% and 75% points in time, therefore March 21st to March 21st is within the ¼ points of the larger square above it. In our oneyear square, a ¼ of time is 90-degrees or 91.3125 solar days.
This means that a ¼ of time in the next larger square is 180-degrees or 182.625 solar days, i.e. twice as big. If we add and subtract 180-degrees/days from our smaller square running March to March, we will fi nd that our two-year square begins and ends at the Autumnal Equinox. The same is true for a 4-year, 8-year, 16-year square, etc. Getting back to the inner squares, a 90-degree square (1/2 of our 180-degree Summer Solstice to Winter Solstice and winter back to summer circle) would begin and end 45-degrees after the Summer Solstice and 45-degrees before the Winter Solstice because 45 is ¼ of 180.
This would be 45.65 days or ¼ of 182.625. So this means we would have another (90-degree) square running inside the (180-degree) Solstice squares beginning on August 5th and ending November 5th. Then just as we have two 180-degree Solstice squares running from Summer to Winter, then Winter back to Summer, we also have four 90-degree squares running from August 5th to November 5th, November 5th to February 5th, February 5th to May 5th and May 5th back to August 5th.
These are all exact mathematical points to look for squares based upon Gann’s plastic overlay pattern. I am providing two charts of the Dow Jones Industrial Average (closing price only) so that you can visually see what Gann was describing in his Square of 52 course. Anyone interested in studying Gann, should purchase their materials from Brad Stewart at Sacred Science Institute (www.Sacredscience.com), as I have found them to contain many unique sections of information that is not provided by others selling Gann related material. I have made many of my best discoveries, including the information presented in this article, from the course materials provided by the Sacred Science Institute!
William Delbert (W.D.) Gann was an early 20th-century trader. His proprietary
daily trading methods used many inputs, such as those for mathematics, astrology, astronomy and seasonal changes.
Rumors abound about the relative success - or failure - of Gann. Legions of literaryworks (including my own .Gann. book) have been written about this legendary trader and his techniques. Teaching Gann trading methods has spawned a closet industry. An all-inclusive review of his methods is certainly beyond this article. What can be introduced and reviewed here is the basis for Gann.s techniques, called Gann angles, and a common error of equating them to Geometric Angles.
WHAT ARE GANN ANGLES?
Trend lines have probably been the basis of technical analysis since technical analysis began. A very basic trend line usually connects two or three lows in a BULL marketor two or three highs in a BEAR market. Prices .violating. these lines (going beyond these trending limits) suggests a change in the price.s trend direction.
Gann expanded the trend-line concept by asserting that TWO factors - price and
time - are needed to establish a truer .trend line. for a specific market. Price (.rise.) is only the first factor for defining a market.s trend line. Thesecond factoris the time needed (.run.) for prices to rise or fall. A Gann anglesis a .trend line. That reflects the number of .price units. which trend during a “unit of time”..
A Gann Angle is indicated by the mathematical-ratio expression of the “number of price units trending up or down (rise)”. by the “rate of time needed for the rise (run)”. An example of a Gann Angle in this format is 1x1. A 1x1 indicates that prices are rising or falling by 1 “unit” of price in 1 “unit” of time.
The next .steeper. Gann Angle is a 2x1; price is rising at twice the rate but inthe
same amount of time as a 1x1 Gann Angle. After a 2x1, the most-commonly used Gann Angles are the 4x1 and 8x1; in rarer occasions there can be a 3x1 and 16x1.
Gann Angles with a “shallower” slope - those that are approaching the horizontal - are defined as 1x2 (price is rising at half the rate but in the same amount of time as a 1x1 Gann Angle), 1x4 and 1x8.
What is the appropriate “ratio” for determining a market.s Gann Angles?
Unfortunately, there is not a chart or spreadsheet of which I know that will
automatically reflect the correct ratio for a market (each market.s “ratio” is different).
Determining the correct ratio is a subjective exercise, the explanation for which is wellbeyond this short article. There are however, computer programs that analyze past price activity over time and yield a “correct” ratio for that market.s Gann Angles.
HOW ARE GANN ANGLES USED?
Gann Angles are usually drawn from significant Highs and Lows. What constitutes “significant” depends of course on the time frame that.s being used. Fewer High and Low .significant. points will appear on a daily chart than on a 1-minute chart.
There are several uses for Gann angles, among which are:
1) Is it a BULL or BEAR market?
Prices remaining above an upward-sloping 1x1 Gann Angle are considered to be in a BULL, or rising, trend.
Prices remaining below a downward-sloping 1x1 Gann Angle are considered to be in a BEAR, or falling, trend.
2) Turning Points
A Gann chartist usually draws a minimum of 7 Gann Angles from each
“significant” High and Low. Considering that:
Gann charts are usually daily charts
Prices are plotted for Gann analysis from the issue’s first day of trading
Specific colors are used to identify the degree of a Gann Angle, a Gann price chart can be imagined to be a maze of criss-crossing lines.
Each intersection of lines identifies the time (week, day, 30-minute bar, etc.) of a potential turning point. The number and degree of Gann Angles that intersect at a specific point in time determines the anticipated degree of probability for a “change-in-trend” to occur at that time. For example, when 2, 1x1s, a 2x1 and an 8x1 intersect at a point in time, there is a greater chance for a change in trend than if only 2, 1x8s intersected at that same time.
3) Support and Resistence
Gann’s theory holds Gann Angles offer Support and Resistance.
In a BULL market, if prices are rising along an upward 4x1, and begin to “break” the 4x1, prices will find Support at the next lower Gann Angle -in this case, a 2x1.
In a BEAR market, if prices are falling along a downward 4x1 - and begin to “break” the 4x1 - prices will find Resistence at the next higher Gann Angle - in this case, a 2x1.
If prices break a 1x1, either rising or falling, a major change-in-trend direction can be expected.
Now that you’re an expert in Gann Angles, we’ll address the main issue of this “article-ette” - the legitimacy of Gann Angles equating to Geometric Angles.
GANN vs GEOMETRIC ANGLES
An all-too-common confusion about Gann Angles is that they equate to Geometric
Angles. Many sources claim that Gann and Geometric Angles approximate each other
by the following scale:
GANN GEOMETRIC
1x8 12.5-o
1x4 26-o
1x2 32-o
1x1 45-o
2x1 63-o
4x1 75-o
8x1 89-o
This is not true and can be proven in two ways - By Theory and By Illustrations.
By Theory
First, recall from your high-school geometry that a line segment “radiating” from a static Point 0,0 to some dynamic (movable) Point in Space forms a geometric angle with the imaginary horizontal line “running through” Point 0,0. The line segment and the horizontal line can form any angle - from 0-o to 360-o
Since Point 0,0 is stationary, only the “movable” point determines the angle of the line segment generating from Point 0,0.
An example of this are trend lines as described in WHAT ARE GANN ANGLES? (p.1). A line begins at some High or Low (Point 0,0) and then connects (“radiates”) to two or three subsequent Highs or Lows (“Points in Space”) within the evolving trend (“Space”).
Second, let us now suppose that Point 0.0 is also moveable. An angle forms as our line segment connects with a Point in Space. A ratio can be established between the movable Point 0,0 and the Point in Space.
As long as the ratio between the Point 0,0 and the Point in Space remains constant (such as with a Gann Angle), then the resulting line segment will always intersect “Space” (price) at the same location.
OK, I know...now you’re totally lost and confused. If one picture is “...worth a thousand words...”, then 2 pictures should speak volumes!
By Illustrations
On ps. 4 and 5 are two charts generated with TradeStation Technologies 2000i software. Both charts will illustrate that Gann Angles do notequate to Geometric Angles.
Chart 1 is a 5-tick segment (each bar represents only about 35 seconds!) of the December, 1991 futures contract for the Standard and Poors 500 Index (SP Z1) for 11/2/01. A 5-tick chart better defines price activity.
Time range is from 9:27 AM to 10:19 AM, Chicago time. Price range is from 1085.00 to 1078.00. The specific 2-dimensional “Space” for Price and Time is relevant, although any price and time scale can be used as long as they remain constant. Both scales serve to define the boundaries of our “Space”.
Two solid, heavy line segments appear on the chart
A 1x1 Gann anglesgenerated by TradeStation’s default “points-per-bar” Gann ratio, and
A 45-o Geometric Angle
Both lines radiate from a Major High of 1084.00 occurring at 9:28 AM, Chicago time. This is our “Point 0,0”.
Note that the 1x1 Gann anglesand the 45-o Geometric Angle DO NOT not intersect Price at the same location.
The 1x1 Gann anglesintersects Price on Bar 2 at 1081.30.
The 45-o Geometric Angle intersects Price on Bar 1 at 1081.30.
Ya think that if the 1x1 Gann anglesequated to the 45-o Geometric Angle, there would not be 2 lines but only 1 line?
Chart 2 is of the same 5-tick price activity as Chart 1 - prices for the SP Z1 futures contract between 9:27 AM and 10:19AM, Chicago time, on 11/2/01. The Price range for “Space” however has changed to 1086.00 to 1078.00.
This affects the Geometric Angle but not the Gann Angle.
1) The line that was a Geometric Angle of 45-ois now at a 38.8-o angle and appears as a .dotted. line; prices are still intersected on Bar 1 at 1081.30.
2) The 45-o Geometric Angle now intersects prices on Bar 3 at 1080.30.
3) The 1x1 Gann anglesremains unchanged with respect to its locations for “Price” and “Time”; it still intersects price on Bar 2 at 1081.30.
Don.t believe Chart 1 and Chart 2? Get out your protractor and check for yourself. Do Gann Angles and Geometric Angles equate to each other? HARDLY!
- - - - - - - - - - - - -
Gerald Marisch is president of a private trading firm, Dover capital investments, inc www.spfutures.com
Predicting the future is impossible, right? If he were around today, W.D. Gann would beg to differ. His first prophecy is believed to have happened during World War I when he predicted the Nov 9, 1918, abdication of the Kaiser and the end of the war. Then in 1927, he wrote a book entitled "Tunnel through the Air", which many believe predicted the Japanese attack on Pearl Harbor, and the air war between the two countries.
His financial predictions were perhaps even more profound. In early 1929, he predicted that the markets would probably continue to rally on speculation and hit new highs… until early April. In his publication, TheSupply and Demand Letter, he delivered daily financial forecasts focusing on both the stock and commodity markets. As this daily financial publication gained notoriety, Gann published several books - most notably "Truth", which was hailed by the Wall Street Journal as his best work. Finally, he began releasing the techniques that he used to make these forecasts: the Gann studies.
What Are the Gann Studies? In 1908, Gann discovered what he called the "market time factor", which made him one of the pioneers of technical analysis. To test his new strategy, he opened one account with $300 and one with $150. It turned out to be wildly successful: Gann was able to make $25,000 profit with his $300 account in only three months; meanwhile, he made $12,000 profit with his $150 account in only 30 days! After his results were verified, he became famous on Wall Street as one of the best forecasters of all time.
Here's how his techniques work. Gann based predictions of price movements on three premises:
Price, time and range are the only three factors to consider.
The markets are cyclicalin nature.
The markets are geometric in design and in function.
Based on these three premises, Gann's strategies revolved around three general areas of prediction:
Price study– This uses support and resistance lines, pivot points and angles.
Time study – This looks at historically reoccurring dates, derived by natural and social means.
Pattern study – This looks at market swings using trendlines and reversal patterns.
Figures such as these are the building blocks of the Gann studies.
Constructing Gann Angles
Before we begin, it is important to realize that this form of analysis - like most forms of technical analysis - is not set in stone but constructed out of empirical methods. Without further ado, here is the process used to construct a Gann angle:
Determine the time units - This is one of the empirical processes. One common way to determine a time unit is to study the stock's chart and take note of distances in which price movements occur. Then, simply put the angles to the test and determine their accuracy. Most people use intermediate-term (such as one to three-month) charts for this as opposed to long-term (multi-year) or short-term (one to seven-day) charts. This is because, in most cases, the intermediate-term charts produce the optimal amount of patterns.
Determine the high or low from which to draw the Gann lines - This is the second empirical process, and the most common way to accomplish it is to use other forms of technical analysis--such as Fibonacci levels or pivot points. Gann himself, however, used what he called "vibrations" or "price swings." He determined these by analyzing charts using mathematical theories like Fibonacci.
Determine which pattern to use - The two most common patterns are the 1x1 (left figure above), the 1x2 (right figure above), and the 2x1. These are simply variations in the slope of the line. For example, the 1x2 is half the slope of the 1x1. The numbers simply refer to the number of units.
Draw the patterns - The direction would be either downward and to the right from a high point, or upward and to the right from a low point.
Look for repeat patterns further down the chart – Remember this technique is based on the premise that markets are cyclical.
Again, this requires some fine-tuning with experience in order to perfect. Because of this, the results will vary from person to person. Some people, like Gann, will experience extraordinary success, while others - who don't use such refined techniques - will experience sub-par returns. However, if the system is followed and sufficient research is put into finding the optimal requirements, above-average returns should be attainable. But remember, technical analysis is an odds game -add more technical indicators to increase your chances of a successful trade.
Using Gann Angles Gann angles are most commonly used as support and resistance lines. But many studies have support and resistance lines. What makes this one so important? Well, Gann angles let you add a new dimension to these important levels - they can be diagonal.
Here you can see how Gann angles can be used to form support and resistance levels. Diagonal trendlines are commonly used to determine times to add to existing long positions, to determine new lows and highs (by finding significant breaks of the trend line), and to help discern the overall trend.
Conclusion
Is it possible to predict the future? W.D. Gann probably thought so, and seemingly proved it with his wildly successful returns. The system is relatively simple to use, but difficult to master. After all, it was Gann's uncanny ability to fine-tune his techniques that led him to enormous profits - the average investor is not likely to obtain these kinds of returns. Like many technical tools, Gann angles are best used in conjunction with other tools to predict price movements and profit.
by Justin Kuepper,
Justin Kuepper has many years of experience in the market as an active trader and a personal retirement accounts manager. He spent a few years independently building and managing financial portals before obtaining his current position with Accelerized New Media, owner of SECFilings.com, ExecutiveDisclosure.com and other popular financial portals. Kuepper continues to write on a freelance basis, covering both finance and technology topics.