Harmonic Charts Used by W.D. Gann (2023)


These harmonic numbers are applicable to BOTH time and price cycles, represent important resistance levels and can be arranged beautifully in solids.

1. 1st Harmonic - Square of the circle or 360 degree circle chart. (Please note that if this chart is started at zero, it ends at 360. Also note that that square root of 360 is 18.97 - very close to 19)

Example: All time high of Intel (INTC) stock in early September 2000 was $75.83 (split adjusted actual trading price) when Jupiter was opposite Pluto. When the planets formed aspect again in September 2001 after the 9/11 attacks, the low of the stock was $18.96 or exactly 1/4th. These seemingly weird numbers are not random at all.

Harmonic Charts Used by W.D. Gann (1)

2.2nd, 3rd, 4th, 6th and 8th Harmonic – Square of 90

Square of 90 encompasses 5 harmonics. ½ of 90 is 45 or 8th harmonic and double of 90 is 180 or 2nd harmonic. 1/3rd of 90 is 30 or 12th harmonic, 2/3rd of 90 is 60 or 6th harmonic. 120 is simply double of 60.

(Video) W D Gann 8th Harmonic

3. 5th Harmonic – Square of 72 or 144

72 is the 5th harmonic chart and square of 144 is 2 squares of 72. Treating 144 as a complete circle and dividing it by 12 and 8 (≡ 30° and 45° in a 360 circle respectively), we get 12 and 18. Using 12, we arrive at the Master 12 Chart.18 ties into the 6 squares of 9 that follow. Similarly 10th harmonic is simply ½ of 72.

It can be said that square of 144 is Jupiter cycles of 12 years expressed in months. It is also equal to 2/3rd of the Uranus cycle in days (84 x 365 x 0.666 = 20420 and 144 x 144is 20736 with a difference of 316 days). Square of 104 is the Mars cycle of 23 months in weeks. 4 squares of 52 are Saturn cycle (29.45772 x 365.25 = 10759 and 52 x 52 x 4 = 10816, a difference of 57 days). Square of 90 is the Mercury cycle and also 4 squares of 90 are the annual Sun cycle. However, all of this is just an attempt to linearize the natural cycles so that they can be measured in days and difference from actual cycles can be significant and hence not usable for precise trading purposes. Timemeasured in days, weeks, months and years works better than these linearized cycles. Master 12chart is simply 30th harmonic chart. Although Gann mentions its use in months, it works well with all planets not just Jupiter. Given below is Gann square of 12.

Harmonic Charts Used by W.D. Gann (2)

4. 7th Harmonic – Square of 52

DJIA high on September 3, 1929 was 386, that is, 7.5 times 51.43. NASDAQ Composite all time high in March 2000 was 5132.

5. 9th Harmonic – 6 squares of 9 (40°) Chart.This chart also has the error of 1 when used as the 9th harmonic chart. Additionally, the chart is cube of 9 chart because each side has 9 numbers. Numbers in these 6 squares cover only the faces of the cube and don’t cover the inside of the cube. To do so would require 729 (9 x 9 x 9) numbers, that is, additional 243 hidden numbers. 729 days are also two years in days tying beautifully into the square of 52 or 104 weeks.

DJIA low in July 1932 was 40.5, exactly half of 81.

Harmonic Charts Used by W.D. Gann (3)

In the materials available in the public domain, the squares of 52, 144 and 90 were used as calculators only. However, numbers can be inserted into them to arrive at important vibration points. These 3 calculators combined cover the harmonics created by dividing the circle by the first eight digits. This is very important and must be borne in mind at all times.

Platonic Solids and Master (universal, fixed, cannot be changed) Charts

Tetrahedron (4 faces), Octahedron (8 faces), Cube or Hexahedron (6 faces), Dodecahedron (12 faces), Icosahedron (20 faces) are the five solids described in Plato’s Timaeus in reference to classical elements.When you are thinking of creation, God and elements, it is natural to have this line of thought. The five elements are Fire, Earth, Air, Water and Sky.

(Video) Day Trading With WD Gann's Geometry || How To Use Market Harmonics In Daytrading

Harmonic Charts Used by W.D. Gann (4)

Ideally, the solids should be arranged in the order of the natural signs of the natural horoscope, that is, Fire, Earth, Air and Water. However, doing so brings the cubes of natural numbers before their squares. The Universe could be substituted with ether to complete the five elements. Needless to say, one way or another, everything in our world is made up of these five elements.

Gann took this a step further and added numbers to the solids as follows which leads to #6:

6. Squares of natural numbers to Tetrahedron (see Gann’s Coffee Rio Low 300 October 2, 1936 chart). This is my favourite chart because it includes squares both odd and even natural numbers. Some people call it triangle or helix chart. For Price-Time harmonic chart, that is, for us to run the planets around this, here is the view with one edge in the centre.

Harmonic Charts Used by W.D. Gann (5)

7. Square of odd natural numbers to half of Octahedron, that is, 4 faces only (Square of 9), square of even natural numbers to the other half of Octahedron (Square of 4) - both charts are presented in the same order below;

Harmonic Charts Used by W.D. Gann (6)

As is evident from the square of 9 chart above, important harmonics of 360 can be expressed as squares of natural numbers or square of harmonics points between the natural numbers. For example: 60 is 7.75 x 7.75, 80 is 9 x 9, 120 is 11 x 11, 144 is 12 x 12, 150 is 12.25 x 12.25, 210 is 14.5 x 14.5, 225 is 15 x 15, 240 is 15.5 x 15.5, 288 is 17 x 17, 300 is 17.33 x 17.33, 315 is 17.75 x 17.75etc.Gann mentions error of 1 where he describes this chart because some numbers work fine with the chart starting at 1 while others work fine with the starting at 0. To achieve more accurate results, avoid this error of 1 in this and all other charts, I advise calculating the exact numbers algebraically when using these charts and calculators. 135 is 11.618 x 11.618, 180 is 13.414x 13.414 (see other important ratios section) and so forth. This is same as squaring the circle in degrees and the error of 1 as Gann mentions while explaining the square of 9. However, we should continue with the squares beyond 19 and use BOTH exact numbers and numbers reduced by circles of 360. These numbers represent very powerful mathematical points of force in the universe. It can also be said that the chart is a square root calculator.

Personal Examples: I got married when Jupiter was 196 degree to my natal Jupiter. I lost my job in Vancouver when Jupiter was 1089 (33 x 33) degree (also 9 degree after full cycle reduction) and I got another job in Toronto when Jupiter was back at 1089! Yes, change of both job and place… and many more examples including the one in January 2019 when Jupiter was 1483 degrees (38.5 x 38.5). Intel (INTC) stock high/lows tie into the squares of natural numbers particularly when measured by the movement of Saturn.

Harmonic Charts Used by W.D. Gann (7)
(Video) 12 Years Ahead Market Forecast Confirmed !!! || WD Gann's Harmonic Number

Among the Egyptian pyramids, there is a pyramid with flat surface. Most people think that it is an incomplete pyramid and Egyptian universities teach as such. However, it is a COMPLETE pyramid. Here is why:When we connect diagonals of the square of 9, they intersect in the middle of the box containing number 1, that is, only one box (or stone, or tile) is required to form the top. When we connect the diagonals of the square of 4, they intersect where squares containing numbers 1, 2, 3 and 4 join. So, four boxes are required to form the top. Therefore, the top has to be a flat surface. A corollary to this is that when we are measuring the flat top pyramid, we should take one side of the top and divide it into two to get the proper unit of measurement used by the builders to build the monument.

Interesting Fact: A few years ago, on the advice of a renowned archeologist, a decision was made to celebrate the glory of ancient Egypt. Part of ceremonies was to complete the "incomplete pyramid" by installing the “missing piece”. It was cancelled at the last moment onintervention byfree masons. Had the process gone ahead, it would have shown the wisdom of ancient Egyptians and ignorance of the present day Egyptians.

8. Difference of cubes of natural numbers to cube - Cube Chart or Hexagon Chart

Harmonic Charts Used by W.D. Gann (8)

Gann, Golden Mean (Phi), Square root of 2, Square root of 10, e, and pi

There are certain other important ratios found to exist in the nature, namely, 1.618 (φ), 1.414 (√2), 3.162 (√10), 2.718 (e), and 3.142 (Pi or ∏). However, there is no mention of anyof these in the Gann literature anywhere. This begs the question: Did a serious student of natural law such as Gann miss these important numbers?Let’s examine them one by one.

Fibonacci ratio or Golden Mean or Phi or 1.618 is an important natural number and people have built market trading systems based on it alone. It is found in the pentagonal symmetry; many things existing in nature are found to have this ratio present including the human body and its beauty appeals to the human eye. Its inverse removes 1 before the decimal leaving 0.618. The ratio works on ANY TWO numbers as long as both numbers are not zero, not just on popularly believed 0, 1 sequence. Its square (0.618 x 0.618 = 0.382) of 0.382 is also important. When viewed in terms of cycles (circles) the other square (1.618 x 1.618 = 2.618) does not change its position. 8th division of the natural circle is 45 degrees angle. 3/8th is 135 degrees and 5/8th is 225 degrees. 3/8 of 1 is 0.375 and 5/8 is 0.625. Difference between these numbers and Fibonacci numbers is a meagre 0.007 (0.625 – 0.618 = 0.007, 0.382 – 0.375 = 0.007). Square root of 1.618 is 1.272. It is also the ratio of diameter of the moon to that of the earth and the human gestation period in days is close to this number. 100or 10 x 10 is an important resistance level and 100/360 is 0.277. The difference between the two numbers is 0.005.

Square root of 2 is 1.4142. 150 degrees is five signs in a horoscope and an important angle. 150 divided by 360 gives us a value of 0.416. So, the difference between 0.414 and 0.416 is just 0.002.

Square root of 10 is 3.162. 60 degree is 6th harmonics. 1/6th of 1 is 0.166. The difference between the two numbers is 0.004.

Value of eis 2.718. 5/7th of the circle is 257.14 degrees and that of 1 is 0.714. The difference between 0.718 and 0.714 is just 0.004.

Pi or 3.1415 is the most commonly known approximate value. It is used in relation to the circle generally as 22/7 or more accurately as 355/113. An easy way to remember this number is 13,14,15 without 1 in the beginning. 51.43 degree is 1/7th of the circle. 1/7th of 1 is 0.142. The difference between the two numbers is negligible.

By now it should be clear why people relying solely on these ratios are missing most of the Gann’s system. It does not mean weshould ignore these numbers. When they occur, they occur very precisely.

(Video) Gann Angles, Squares And Price Time Harmonics Or How To Find Precise Gann's Angles On Your Chart

Then the next question is: Is this number to be ignored in favour of 8th harmonics. I don’t know, you be the judge by looking at the following examples:

(i) Nasdaq Composite High on March 10, 2000 was 5132.52. This number divided by Composite’s natal Sun and Uranus’ position at the time of high of 318.6 or 8.6 degree Aquarius gives 16.109 or 1.611 with decimal adjustment;

(ii) Nasdaq Composite Low in April 2001 was 1619.59;

(iii) Low in October 2002 was 1109.64 - (a) Multiply 1.618 by itself 5 times, that is, calculate its 5th power and see what you get. (b) Divide the low by the Composite’s Pluto’s natal position of 179.34 or 29.34 degree Virgo, Yup! you get our favourite number again.

(iv) December 24. 2018 low was 6190.17.

Astrologers say the horoscope promises of the things to come. The above examples are mathematical proof that natal positions indeed provide price levels very precisely at appropriate time. This ties into Gann’s concept of active angles.

Please get used to decimal adjustment and transposition (in Gematria there is no difference between them) of numbers when dealing with markets. This is how nature expresses herself. Example:

March 10, 2000: Nasdaq Composite High was 5132.52

March 12, 2003: Nasdaq Composite Low was 1253.22

There was a difference of just 2 days. Both dates and levels were extremely important in the history of the index.

…and then on July 20, 2015: Nasdaq Composite High was 5231.94

When setting up these charts, please make sure to run the numbers and planets in the same direction. My preference here in Canada is anti-clockwise. Residents of Southern Hemisphere could do it clockwise. Of course, the real position is to hold the paper parallel to the floor with the horoscope facing upwards.

Note: If you study the Bible, please make sure you use the version containing information in cubit. Because numbers have meaning (there is a full chapter dedicated to numbers and is generally ignored instead of being studied), their meaning gets lost when cubit get converted into foot/inch (Foot, Pound, Second or FPS system) or metre (Metre, Kilogram, Second or MKS system or the modern SI system). Also note that units are always singular although in our daily use we incorrectly use plurals such as inches, feet, miles, kilometres, litres, gallons etc. Most unit symbols are written in small letters.



What was the success rate of Gann? ›

WD Gann was revered for his 92% trading accuracy. This helped him to unlock success on Wall Street and earn significant profits. He was also the inventor of the 'Square of nine chart'.

How do you use Gann Square of 9 in a chart? ›

To use the Gann chart, simply replace the starting number 1 with a number of your choice and the desired step value. In the above example, the increment is 1, but you could use larger or smaller values. The resulting numbers in the ordinal and cardinal number cells are key resistance and support levels.

How do you use Gann Square in trading view? ›

The tool uses the Gann Wheel as a basis for its patterns of price and time. It can be used in a variety of ways. One way is to start at the previous major pivot point (normally the end of the last 5 wave sequence) and draw it so that the 1 X 1 line follows the current market support areas to a good degree.

What is Gann time cycle? ›

Gann believed that the market follows a natural time cycle. His theory was based upon natural geometric shapes and ancient mathematics. Gann theory states that the patterns and angles of an asset on the market can be used as a predictor for the price's future movements.

What are the most important Gann angles? ›

Gann believed the 45-degree angle to be most important, but the Gann fan also draws angles at 82.5, 75, 71.25, 63.75, 26.25, 18.75, 15, and 7.5 degrees. The Gann fan originates at a low or high point. The resulting lines show areas of potential future support and resistance.

Is Gann fan accurate? ›

As with all trading indicators, the Gann fan is not always accurate. There is no rule that keeps the price moving at any specific angle, as price movements are often random. The various levels indicated by the Gann angles may or may not signify any support or resistance level.

What is the best chart pattern? ›

Triangles are among the most popular chart patterns used in technical analysis since they occur frequently compared to other patterns. The three most common types of triangles are symmetrical triangles, ascending triangles, and descending triangles.

What is the success rate of Gann square of 9? ›

The success ratio of retail investors is 1:1000 (approx). Our GANN calculator provides you ready to trade levels instantly.

Do chart patterns work in trading? ›

Trading chart patterns often form shapes, which can help predetermine price action​, such as stock breakouts and reversals. Recognising chart patterns will help you gain a competitive advantage in the market, and using them will increase the value of your future technical analyses.

What are major Gann levels? ›

Gann theory distinguishes four major levels of support: G1, G2, G3, and G4. G1 is the level of 50% retracement from the all-time High, which might be indicative of future upward movement renewal. If that doesn't hold, look for G2 level which is the midpoint between the all-time High and all-time Low.

How much money did Gann make? ›

Gann died in the 1950s his estate was valued at slightly over $100,000.

What are Gann indicators? ›

What Are Gann Indicators? Gann indicators, most notably Gann angles, are trading techniques developed by W.D. Gann. They are widely seen as innovative and still studied and used by traders today. Gann used angles and various geometric constructions to divide time and price into proportionate parts.

What is the best theory of the stock market? ›

The efficient market hypothesis (EMH) or theory states that share prices reflect all information. The EMH hypothesizes that stocks trade at their fair market value on exchanges. Proponents of EMH posit that investors benefit from investing in a low-cost, passive portfolio.

Can 90 degree up move sustain in market? ›

No trend will exceed 90 degrees on a stock chart. The result of the extreme Angle of Ascent is a curve inward that warnings early of a higher risk of profit taking that has the potential to trigger High Frequency Trader HFT downside momentum selling.

What is the best trendline angle? ›

Pay attention to the angle of the trendline. If it's less than 30 degrees, a trend is too steep and unstable. It's better when the trend's angle exceeds 45 degrees.

What is the most accurate moving average trading? ›

The 200-day moving average is considered especially significant in stock trading. As long as the 50-day moving average of a stock price remains above the 200-day moving average, the stock is generally thought to be in a bullish trend. A crossover to the downside of the 200-day moving average is interpreted as bearish.

What time frame is best for awesome oscillator? ›

Any time periods can be used when calculating the awesome oscillator, but most traders use a daily simple moving average of 34 days and five days. It is important to note the indicator uses the midpoint value rather than the day's closing price, which can better track volatility.

Is awesome oscillator a good indicator? ›

The Awesome Oscillator indicator can be useful during a trending market and, because it measures the market momentum, it can used as a leading indicator. It is also often used for different types of assets.

What is the most profitable chart pattern? ›

Research shows the most reliable and profitable chart patterns are the Head & Shoulders, with an 89% success rate, the Double Bottom (88%), and the Triple Bottom and Descending Triangle (87%). The most profitable chart pattern is the Rectangle Top, with a 51% average profit.

What are the 4 most common charts? ›

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs. They are generally used for, and are best for, quite different things. You would use: Bar graphs to show numbers that are independent of each other.

Which chart provides the best visual? ›

Scatterplot. Scatter plots are useful for showing precise, data dense visualizations, correlations, and clusters between two numeric variables.

What is Gann square of 144? ›

The example above shows a Gann Square set to 144. It is 144 points high (using a Price Unit of 1) and 144 bars wide (trading days on a daily chart). If applied to a lower priced chart you might use a Price Unit of 0.1 so the square will be 144 x 0.1 = 14.4 point high.

How do you plot Gann square? ›

Gann Squares indicate possible time and price movements from important highs and lows. To draw a Gann Square on a chart, click the Gann Square button on the toolbar, then move the cursor on the chart to the starting point. The starting point is generally an important High or Low on the chart.

What chart do most traders use? ›

A candlestick chart is a combination of a line chart and a bar graph. You can change chart types depending on your preferred view, but most traders prefer candlesticks because of the depth of information each stick can convey.

Which timeframe is best for chart patterns? ›

For day trading, 15-minute charts and 30-minute charts are the best. Day traders who use indicators in their day trading strategy can use a 15-minute or lower time frame. In the case of price action-based trading, a combination of the 15-minute and 30-minute time frames is the best.

What chart do day traders use? ›

A day trader could trade off of 15-minute charts, use 60-minute charts to define the primary trend and a five-minute chart (or even a tick chart) to define the short-term trend.

What is Gann high low indicator? ›

This Gann HiLo indicator uses a simple moving average of the previous three periods of highs and lows, it is a trend-following indicator that helps predict market direction, it can also help with trade entry & exit signals as well as placing a stop loss or take profit.

What are the powerful TradingView indicators? ›

Indicators, Strategies and Libraries
  • TTP Breaking Point. TheTradingParrot P Updated May 28. ...
  • Swing Boxes. tarasenko_ Mar 26. ...
  • Reversal Points. ...
  • CM_Williams_Vix_Fix - Market Top and Bottom with multi-timeframe. ...
  • RSI Divergence Tops + Bottoms. ...
  • Price Action Top/Bottom. ...
  • chart visible bar time. ...
  • Williams Vix Fix Bottoms and Tops.

Which fractal indicator has the best value? ›

His research came to the conclusion that the best Fractal value was found via the number two. This is why Fractals appear on the chart when two candles to the left and two candles to the right are lower or higher than the candle with the Fractal. You can read more info.

What is a Gann swing? ›

Gann's swing method is very similar to the DeMark or Williams method. o find a support point, or trough, a low bar is identified. Once th low bar is identified, the two following trading days are observed. If these two days have higher highs than the low bar, then the low bar is a support point.

How to calculate Gann dates? ›

According to Gann, there are two types of Solar dates: Static and Dynamic. He always said the year begins on March 21st, which is the first static date and not January 1st. He also stated that this was a very important seasonal time. – Divide it by 360 (degrees in a circle) i.e 365.256 / 360 = 1.0146.

Who is the kid who made millions in stock market? ›

Jake Freeman made more than $100 million trading Bed Bath & Beyond stock, Financial Times reported.

Who is the richest price action trader? ›

Munehisa Homma was born rich to a rice merchant. Apart from his rice business and trading, much of his net worth comes from his books on financial markets and trading. However, it was his immense success in the futures that made him one of the richest traders in history.

Who created Gann? ›

William Delbert Gann (June 6, 1878 – June 18, 1955) or WD Gann, was a finance trader who developed the technical analysis methods like the Gann angles and the Master Charts, where the latter is a collective name for his various tools like the Spiral Chart (also called the Square of Nine), the Hexagon Chart, and the ...

What is the number 1 rule of stocks? ›

1 – Never lose money. Let's kick it off with some timeless advice from legendary investor Warren Buffett, who said “Rule No. 1 is never lose money.

What is the golden rule of investing in stocks? ›

Warren Buffet's first rule of investing is to never lose money; his second is to never forget the first rule. This golden rule is key for long-term capital protection and growth.

What is the main rule in stock market? ›

Warren Buffett once said that the only two rules of successful investing are (1) Never Lose Money and (2) Never Forget Rule 1. Buying and selling stocks in the share market (share market) is such a simple activity that almost anyone can do it.

What is Gann 50 percent retracement theory? ›

This rule states that when the market breaks one angle, it will move toward the next one. Another way to determine the support and resistance is to combine angles and horizontal lines. For example, often a down-trending Gann angle will cross a 50% retracement level.

What are the important Gann levels? ›

Gann theory distinguishes four major levels of support: G1, G2, G3, and G4. G1 is the level of 50% retracement from the all-time High, which might be indicative of future upward movement renewal. If that doesn't hold, look for G2 level which is the midpoint between the all-time High and all-time Low.

Which trading strategy has highest probability? ›

One strategy that is quite popular among experienced options traders is known as the butterfly spread. This strategy allows a trader to enter into a trade with a high probability of profit, high-profit potential, and limited risk.

How do you increase winning probability in trading? ›

Increase Your Odds of Winning Trades
  1. Think like a professional trader. ...
  2. Get yourself into the 'trading zone' ...
  3. Manage trades with logic, not emotion. ...
  4. The fine line between winning and losing traders. ...
  5. Trust the price action.
Jun 21, 2013

What is the probability of being a successful forex trader? ›

A well-known figure in the Forex world is that 90% of Forex retail traders do not succeed. Some publications quote failure rates as high as 95%. Regardless of the actual number, having interacted with thousands of traders over the years, I can tell you that those figures aren't far off.

Can 90 degree up move sustain in stock market? ›

No trend will exceed 90 degrees on a stock chart. The result of the extreme Angle of Ascent is a curve inward that warnings early of a higher risk of profit taking that has the potential to trigger High Frequency Trader HFT downside momentum selling.

What is 100% Fibonacci retracement? ›

A Fibonacci retracement forecast is created by taking two extreme points on a chart and dividing the vertical distance by Fibonacci ratios. 0% is considered to be the start of the retracement, while 100% is a complete reversal to the original price before the move.

What is the 50% rule in trading? ›

The fifty percent principle states that when a stock or other asset begins to fall after a period of rapid gains, it will lose at least 50% of its most recent gains before the price begins advancing again.

What degree are Gann angles? ›

Gann angles are based on the 45-degree angle, known as the 1:1 angle. Gann believed the 45-degree angle is important and trends above it are strong and trends below it weaker. Gann angles are applied from price bottoms extending upwards or from price tops extending downwards.


1. Forecast The Future Using W.D Gann's Time Cycles - Secret Revealed
(Trader Syndicate)
(GannAnalyst Trader)
3. Michael S Jenkins W D Gann's Use of Astrology in the Stock Market
(Michael Jenkins)
4. Hidden Gann Angles || Harmonic Angles Simplified
(4X other way)
5. How To Predict Future Highs And Lows As WD Gann Did For 1929 || Basic Approach
(4X other way)
6. Gann Emblem, Point Harmonic & First Harmonic Based Nifty Analysis.
(Trading vs Investing )


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