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Introduction to Gann

(2) Installation of Gann Predictor

Gann price square

Gann Time Square

(3) Gann price level ninety-nine eighty-one square

(4) Gann Time Nine Nine Eighty One Square

The structure of Gann hexagram

Static Application of Gann Hexagram

Dynamic Characteristics of Support/Resistance

Dynamic Application of Gann Hexagram

(1) The structure of Gann's Wheel within a Wheel

(2) Static Application of Gann's Wheel within the Wheel

(3) Dynamic Application of Gann's Wheel of Wheels

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Who is Gann?

Gann (W.D. Gann) (1878-1955) was a leader in the American investment community in the early 20th century, and even now, Gann's

Software Installation

"Gann Predictor" must operate on Microsoft Windows 98/NT/2000/XP, and the computer must be IBM compatible.
The CPU is above 133 MHz.
When installing 'Gann Predictor', users only need to point the mouse at the installation application file gf1csetup.exe and double-click it.

There is a green icon in the middle with the words 'Gann Predictor' written below. Users only need to point their mouse at it.

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Above the menu bar on the main screen, there are four sets of functions displayed.

Gann Square
Ninety-eight eighty-one square

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"Gann Predictor" software includes the more complex numerical charts section of Gann theory.

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Gann Price Square

Multiples or fractions as the units for each grid, such as: 0.001, 0.01, 0.1, 1, 10 or 100, etc. The selection of units for each grid should be
Use square numbers to best reflect the current market price level. In some cases, multiples or fractions of 5 may be used.

This means the starting point of the downtrend. After that, we need to decide the unit of each decline. Generally, we will also choose 10.

Multiples or fractions, serving as the unit for each grid, but based on negative numbers, for example: -0.001, -0.01, -0.1, -1,
-10 or -100, etc. The selection of each square unit should allow the current price to remain within the price level of the square. In some rare cases.

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 From another perspective, the support and resistance levels in the market are at 45 degrees, 90 degrees, 135 degrees, and 180 degrees of a square.

Numbers above 0 degrees, 225 degrees, 270 degrees, 315 degrees, and 360 degrees.

When the user presses the 'Enter' key, the entered coordinates (Cursor) will move to the next input cell. When the input coordinates move to 'Single
When entering the input box labeled "position", pressing "Enter" will instruct the program to calculate. In addition, users can also use the mouse to move.

(2) Starting from the initial price level, increase by 100 points for each step in the counterclockwise direction.

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 Users should note that within the same market trend, there are support and resistance levels at 0 degrees and 90.

The relationship between 0 degrees, 180 degrees, and 270 degrees.

——

z
z

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(1) In the input box for the start time, the date should be entered in American format, i.e., month/day/year (mm/dd/yyyy).

In the time input box, you can enter 'd' for days, '[W]' for weeks, '[m]' for months, or 'y' for years.
Representative year. In the example above, we choose 'w', which calculates the turning point of the week.
(3) If the user presses the [Enter] key on the keyboard, the input cursor will jump to the next input cell. If the input...
Jump to the input box of the time period indicated, press the 'Enter' key to update the Gann time square according to the input data.

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Figure 2-10 Hang Seng Index daily chart and low-point trend reversal days (1993-1997)

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 It is worth noting that the above turning dates are within the square of Gann time, where there exist 0 degrees, 90 degrees, 180 degrees, or

A relationship of 270 degrees.

——

[ ]
z [ ]

z [ ] [ ] [ ]

z [ ] [ ] [ ]

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Gann price level ninety-eight eighty-one square

The corner is the first square, with the basic number 1 built in. Then, as each square goes up, the number inside the square increases by 1. When the number inside the square reaches
At 9 o'clock, a new line will begin, and the starting point will be the number 10 in the bottom cell of the second row, increasing by 1 for each cell above.

When the numbers reach a multiple of 9, the numbers will start on a new line, ultimately creating an 81 square grid with numbers from 1 to

81 completely filled. See the figure below.

Figure2-11GannPriceLevel99Eighty-OneSquare

[ ]

Market Vibration Number.

The base number is 1. This number can also be viewed as the starting point of market trends.
After that, we need to decide the unit increase of the numbers in each square. Generally speaking, we will choose multiples of 10 or 10.
The score serves as the unit for increasing the numbers in each cell, such as 0.001, 0.01, 0.1, 1, 10, 100, etc. In addition, in some rare...

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In some cases, we will choose multiples or fractions of 5. The choice of this unit should allow the square of nine to reflect the current market.

Finally, if we take 9 as the volatility number of the market, then the numbers in each box above should increase or decrease by 0.009.
0.09, 0.9, 9, 90 or 900. When selecting fluctuating numbers, you can start with 9 and try the numbers from 2 to 9 one by one.

Inside, to replace cardinal number 1.

Multiples or fractions of 10, and each number is negative, reflecting the trend of market decline, such as: -0.001, -0.01,

-0.1, -1, -10, or -100, etc. In rare cases, multiples or fractions of 5 may be used. Ultimately, the square of nine.

Finally,wemustdeterminethevolatilitynumberofthemarket,usingthesamemethodasabove.Ifthenumberis9

If it is the chosen fluctuation number, the decline unit for each grid in the square of nine should be -0.009, -0.09, -0.9,
-9, -90 or -900.

[ ] [ ] [ ]
[ ]

The 2245.4 created on June 14, 2001, then began a medium-term downtrend, dropping to a low of 1339.4 on January 29, 2002.

Starting Unit: 2245.4

Unit: -22.45

The user can press [Enter] to move the input cursor to the next input cell. When the input cursor has moved to [unit]
When the input grid is focused, pressing the [Enter] key will trigger the [Calculate]. In addition, users can also use the mouse to move the input coordinates.
[ ]
Change the base number in the lower left corner of the square of nine to [Starting Price] 2245.4:

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 Displayed on the square in red numbers, that is to say, the square's 45, 90, 138, 180, 225, 270, 315.

The numbers above 360 degrees and the numbers on the horizontal line of the square.

Figure 2-12 Trend of Shanghai Securities Composite Index and Nine Square Form

Figure 2-13 Technical Indicators and Resistance Levels on the Daily Chart of the Shanghai Composite Index

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 ——

* [ ]
* [ ] [ ]
* [ ] [ ]

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Gann Time 99 Eighty-one Square

[ ]
[ ] [ ] [ ]

Place the cardinal number 1 in the lower left square of the square of nine. The number increases by 1 each time it moves one square. When the number reaches 9,

Until finished. In the end, the square forms nine rows and nine columns, and each cell is filled with numbers from 1 to 81.

Figure 2-14 Time Ninety-Nine Eighty-One Square

Vibration Number of Market

In an upward trend, the date of the market's mid-term low should be placed in the lower left corner of the square of time nine, replacing base number 1.
After that, we need to decide the unit increase for each level. Generally speaking, we simply use 1 as the unit increase.

In other words, if we want to predict a future market turning point time, we would use days [d] for short-term trends.

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Forecast the trend prediction for weeks [w] or even months [m] as a medium to long-term prediction.
Finally, if we choose 9 as the volatility number of the market, each unit increase will be 9 days, 9 weeks, 9 months.
Or 9 years. The choice of fluctuating numbers should be between 1 and 9, and select the fluctuating number that best reflects the market's support and resistance levels.

to replace the cardinal number 1. Afterwards, we should determine the incremental unit for each level. In general, we can simply use 1 as

In other words, if we want to predict future turning points in time, we choose the number of days [d] to most accurately predict short-term market trends.
The number of weeks [w] is used to predict the medium-term trend, while the number of months [m] is used to predict the long-term trend.
Finally, if we use 9 as the market's Vibration Number, then the increase of each grid is
9 days, 9 weeks, 9 months, or 9 years. The choice of fluctuating numbers is from 1 to 9, selecting those that best capture market support and resistance.

[ ] [ ] [ ]
[ ]

2245.4 on June 14, 2001. Using the above data, we can input on the screen:

06/14/2001
Unit: 1
Time period: w

In the start time box, the entered time format should be American, that is: month/day/year (mm/dd/yyyy).
[ ]
d represents the number of days
w represents the week number
m - represents the number of months
y represents the number of years

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 In the above example, we can choose [w] to calculate the mid-term market turning point of the weeks.
(3) The user can press [Enter] to move the input cursor to the next input cell. When the cursor has moved to [
When entering the input box for the section, pressing [Enter] will trigger program calculations. In addition, users can use the mouse to select the input position.
[ ]
1. Replace the number in the first square of the lower left corner of the square nine with the start time 06/14/2001.
2. Change the increment unit between each square of the time nine to the input unit (1 week).

The interval will be displayed in red, and its dates will be at 45, 90, 135, 180, 225, 270, 315, and 360 degrees in the square.

Figure 2-15 Turning point of Shanghai Stock Composite Index and Time Nine Square

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The time when support and resistance levels appeared on the daily chart of the Shanghai Composite Index (Figure 2-16)

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z [ ]
z [ ]

z [ ] [ ]
z [ ] [ ] [ ]

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Figure 3-1 Gann Hexagram

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 The structure of the Gann hexagon is divided into 12 parts, each separated by 30 degrees, to make up 360 degrees. In the hexagon, the right side water
The horizontal axis is 0 degrees, then, moving in the counterclockwise direction, increasing by 30 degrees each time to complete 360 degrees.

At the beginning of the first innermost cycle, the number 1 is placed at 60 degrees, the number 2 at 120 degrees, the number 3 at 180 degrees, 4
Set at 240 degrees, 5 set at 300 degrees, 6 set at 0/360 degrees, thus completing the first Gann hexagon cycle.
In the second cycle, the number 7 is placed at 30 degrees, the number 8 at 60 degrees, the number 9 at 90 degrees, and so on.
Set to 18 on 0/360 degrees, thus completing the second Gann hexagon cycle.

In addition, 6 numbers should be filled in the first cycle, 18 numbers in the second cycle, and in the third cycle
Fill in 36 numbers, and so on. In fact, the number of entries in each cycle is the previous cycle's number plus 6.

First period: 0+1X6=6

Second cycle: 6 + 2 x 6 = 18
Third cycle: 18 + 3 x 6 = 36
Fourth cycle: 36 + 4 x 6 = 60
Fifth cycle: 60+5X6=90
Sixth cycle: 90 + 6 x 6 = 126
Seventh cycle: 126 + 7 x 6 = 168

In astronomy, the date of the vernal equinox from March 21 to 21 is the starting point of the astronomical calendar and can also be seen as 0 degrees. Therefore,

On Gann's hexagram, 0 degrees can be relabeled as "21/3" and placed on the right side of the horizontal axis.

0/360 degrees is 21/3

30 degrees is 21/4

60 degrees is 21/5

90 degrees is 21/6

120 degrees is 21/7

150 degrees is 21/8

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 180 degrees is 21/9

210 degrees is 21/10

240 degrees is 21/11

270 degrees is 21/12

300 degrees is 21/1

330 degrees is 21/2

In fact, the date corresponding to each angle line should be between the 19th and 22nd of each month, depending on the calendar of that year.

We simply labeled it as the 21st of each month for simplification purposes.

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Static Application of Gann Hexagon

I. The Square and the Triangle of Time

In Gann's theory, he emphasizes the angular relationship between 90 degrees and 120 degrees. Regarding the former 90-degree relationship,
Gann referred to it as [the square of time], and the 120-degree angle relationship he called [the triangle of time].
Among the angular relationships in Gann's hexagon, the most important are 0 degrees, 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees.
The natural support/resistance days are March 21, May 21, July 21, September 21, November 21, and January.
21st.

From 2000 to 2003, the Hang Seng Index on March 21, May 21, July 21, September 21, and November
Near the time window of the 21st and January 21st, most have experienced turning points, either big or small. See the picture below.

Figure 3-2 The relationship between market reversal days of the Hang Seng Index from 2000 to 2003 and natural split days

For the relationship between [angle triangles], the important angle lines are 0 degrees, 120 degrees, and 240 degrees, which naturally divide the day.
The dates are March 21, July 21, and November 21.

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II. Square and Triangle of Price Levels

Apart from time, in Gann's hexagon, price also has relationships of 90 degrees and 120 degrees, with the former 90-degree relationship referred to as
The square of price refers to the 120-degree relationship called the trine of price.

In the angular relationships of a square, the important angles are 0 degrees, 90 degrees, 180 degrees, and 270 degrees. Natural support and resistance.

0 6,18,36,60,90,126,168,216,270,330,396
90 degrees: 1, 5, 9, 22, 5, 42, 67, 5, 99, 136, 5, 180, 229, 5, 285, 346, 5

180 3,12,27,48,75,108,147,192,243,300,363
270 degrees: 4, 5, 15, 31, 5, 54, 82, 5, 117, 157, 5, 204, 256, 5, 315, 379, 5

In the angle relationships of a triangle, important angles include 0 degrees, 120 degrees, and 240 degrees. Natural support and resistance.

0 6,18,36,60,90,126,168,216,270,330,396
120 2,10,24,44,70,102,140,184,234,290,392
240

It is important to note that both perspectives mentioned above emphasize the angle lines of 0/360 degrees, in other words, at 0/360 degrees.
The numbers on the angle line: 6, 1, 36, 60, 90, 126, 168, 216, 270, 330, and 396 are all important support and resistance numbers.

(Conversion Factor, CF) can be used to obtain the actual market price level.

On October 1, 1987, the Hong Kong Hang Seng Index reached a major high of 3968 points, and then a decline occurred in October.
Over 50% stock market crash within a month. If we multiply 3968 by the conversion factor ratio (CF) of 0.1, that price level converts to a number
The number 396.8, which is also the 0-degree number of the eleventh cycle within Gann's hexagram.

On January 4, 1994, the Hang Seng Index reached another major peak at 12,599, after which a year-long bear market followed.
It also unfolds immediately. If we multiply 12599 by a conversion factor (CF) of 0.01, the number will be 125.99, which is 126.
This number is at the 0-degree point of the sixth cycle of the Gann Hexagon.

On August 7, 1997, the Hang Seng Index reached another high of 16820. Subsequently, the index in less than a month...
The inner decline has fallen to a low point of September 2, 1997, with a total drop of 3921 points. If we multiply 16820 by the conversion factor ratio (CF)

0.01, the number is 168.20, which is also 168. This number is above 0 degrees of the seventh cycle of the Gann hexagon.
The above example shows that the main resistance levels for Hong Kong stocks are all above the 0-degree line of Gann's hexagon. In other words,
There is a 0-degree relationship at the three peaks on the Gann hexagram.

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 In addition, on March 28, 2000, the Hang Seng Index reached another high at 18397. Subsequently, the index fell to
The low point of April 25, 2003, is 8331. If we multiply 18397 by the conversion factor (CF) ratio of 0.01, the number is

183.97, that is, 184. This number is above 120 degrees in the eighth cycle of the Gann hexagram.

Figure 3-3 Major Tops of the Hang Seng Index (1982-2003)

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Dynamic characteristics of support/resistance

For example: On March 21, the market might trade between 168 and 180. However, if the time has shifted to June 21 to
During the time period on September 21, market support and resistance can be moved to 180 to 192.

At certain times, the time window may have a 180-degree difference from the price window, for example: from June 21 to
In the time frame of September 21, the market's support and resistance could possibly be between 157 and 168.

Actual Example (1)

On Gann's hexagon, the numbers on the angle lines relative to March 21 and December 21 are:

0 6,18,36,60,90,126,168,216,270,330,396
270 4.5,15,31.5,54,82.5,117,157.5,204,256.5,315,379.5

The appropriate conversion factor ratio for the performance of the Hang Seng Index from 1993 to 1994 is 100, while the market's support and resistance levels...
Flat ranges from 8250 to 12600. See the figure below.

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Figure 3-4 Support and resistance levels of the Hang Seng Index between December 21, 1993, and March 21, 1994.

Real example (2)

On Gann's hexagon, the numbers corresponding to the angle line on May 21 are:

60 1,8,21,40,65,96,133,176,225,280,341

The appropriate conversion factor ratio for the Shanghai Composite Index from 2001 to 2003 is 100, while the market's
Support and resistance levels are 1330, 1760, and 2250. See the chart below.

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Figure 3-5 Gann Hexagram support and resistance levels at 60 degrees

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(I) Timeline

The numbers under the angle lines of the 90-degree angle relationship (square) also represent the support and resistance levels in the market.

[ ]

Assuming the date of use is August 24, 1997, when the user clicks the [Draw] button below the time input box with the mouse.
Once you click, a red line will appear near the label '21/8' on the diagram. This timeline shows that the numbers below it are the actual...

The Dow Jones Industrial Average reached its bull market peak on January 14, 2000. If you pay attention to the position on the timeline that day.
The number is at the level of 119 to 120. In fact, the peak of the Dow Jones is at 11908. If the index is multiplied by the factor 0.01, the answer is
119, that is to say, the timeline of that day became the price resistance level of the Dow Jones. See the following chart.

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The high point of the index is 11908 on January 14, 2000.

[ ]

[ ]
The brown timeline forms angles of 90 degrees, 180 degrees, and 270 degrees with the original red timeline.

If the user wants to clear these 90-degree, 180-degree, and 270-degree angle lines, they can click the [Hide] button with the mouse.
[ ]

[ ]

[ ] [
Click the [Angle] button with the mouse to display green angle lines at 0 degrees, 120 degrees, and 240 degrees on the timeline.

[ ] [ ]
[ ]
Experience tells us that the support or resistance of the red time line in the Gann main character shape is the strongest, and there exists a 90-degree relationship.
The [square] angle lines are secondary, while the [triangle] angle lines with a 120-degree relationship are weaker.

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(II) Historical Timeline

[Square] and [Triangle] buttons allow users to identify other market supports and existing relationships with 90-degree and 120-degree angles.

On October 1, 1987, the spot contract of the Hang Seng Index futures formed a major peak at 4051, after which the market
The market experienced a stock disaster with more than 50%. If we use October 1, 1987, as a historic market day, according to Gann

On the screen of Gann's hexagon, we can enter '10/01/87' in the time input square, and then in the time square...
Click the [Draw] button below, and a red historical timeline will appear on the Gann hexagram, this line is at '21/9'.

Figure 3-7 Historical timeline on Gann's hexagon and the 90-degree relationship angle lines

The numbers on the historical timeline and their related angles of 90 degrees and 120 degrees are the market's support and resistance.
On the 180-degree diagonal of the timeline, the numbers are 127.80, 170, 218, 272.5, and 332.5.

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 If using 100 as the conversion factor, the resistance level at 127.80 is 12780. In reality, on January 4, 1994
On that day, the Hang Seng Index futures spot month reached a high of 12,785, only breaking above the 12,780 level by 5 points, after which a year-long bear market began.
In addition, the number 170 on the 180-degree line, if calculated with a conversion factor of 100, corresponds to 17,000 points. In reality,
On August 7, 1997, the Hang Seng Index futures spot month peaked at 16,765, while the December futures contract reached a high of 16,920.
It is evident that 17,000 is also an important resistance level.
In addition, at the number 181.50 on the 90-degree line, if calculated using a conversion factor of 100, it equals 18150 points. In reality,

In March and July 2000, the Hang Seng Index reached 18397 and 18125. This shows that the 90-degree line is also an important resistance.

Figure 3-8 Main resistance levels on the Hang Seng Index monthly chart

If we carefully observe the major turning points in the Hang Seng Index since the stock market crash on October 1, 1987, everyone will notice
The price levels of these market turning points are very close to the numbers on the historical timeline mentioned above: 170, 272.5, and 332.5.

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Figure 3-9 Hang Seng Index Daily Chart

The low point of the Hang Seng Index futures in the spot month after the October 1987 stock market crash was 1770 on October 29, 1987, very close to 170X10.

Change factor ratio = 10)

The rebound high point of the Hang Seng Index futures spot month on May 15, 1989, was 3390, very close to the number 332.5X10.

Factor ratio = 10
The low point of the Hang Seng Index futures spot month during the Gulf War in 1990 was 2750 on August 24, 1990, very close to it.

272.5X10 (conversion factor ratio = 10)

The main turning point in the chart (1987 to 1990)

[ ]
(Anniversary Day), this is a possible turning point in the market.
In addition, if the timelines of the day intersect with the 90-degree and 120-degree angle lines related to the historical timeline, the convergence will also occur on that day.

[ ]

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Place the ratio of the conversion factor into the ratio input grid to convert the historic price level into a scale of 1 to 360. For example,
If we are handling the Hang Seng Index at 14,500 points, the conversion factor ratio should be 0.01, multiplying 14,500 by 0.01 will yield
Up to 145. Here are different examples:

8,250 0.01 82
S&P 500 Index 910 0.1 91
1.8050 100 180
115.60 1 115

( ) [ ]

Other numbers at the same angle will also be major support or resistance levels in that market. Additionally, those that are at a 90-degree relationship with this number...

When the price level intersects with the timeline, a market trend change or reversal may occur. Additionally, if it is related to that price level or 90

Other price levels and timelines around 180 degrees may converge, and the market could also experience a trend change or reversal.
In addition, if today's price intersects with the historical timeline or its 90-degree and 180-degree angle lines, the market may also reach.

Taking the Hang Seng Index's spot index as an example, the Hang Seng Index fell to its lowest point after the October 1987 stock market crash on December 7, 1987.
1876, became an important low point in the market, we can use this history to calculate on the date of the turning point. In the drawing of Gann's hexagon.
On the surface, users can enter "12/07/87" in the time input box in the upper left corner and click the [Draw] button below it with the mouse.
A red timeline will appear between the labels '21/11' and '21/12'.
In this red historical timeline, the number for the eighth cycle of the Gann hexagon is 202. If the proportion of the conversion factor is
10, then the corresponding price level is 2020. It is noteworthy that the low point of the stock market crash in June 1989 was 2022, which is 2020.

In the example above, the user can click the [Square] button in the upper right corner with the mouse to generate three lines separated by 90 degrees.

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 The brown line, which is 180 degrees away from the historical timeline, actually corresponds to June 6, which is the stock market crash on June 6, 1989.

The time when the low point appeared in 2022.

It is also important to note that the angle of the market's low position in 2022 differs from the timeline angle on June 6, 1989.

Just for 180 degrees. Please refer to the Gann hexagon chart below and the corresponding Hong Kong Hang Seng Index trend.

Figure 3-10 Gann Hexagram's Time-Price Relationship

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Figure3-11HangSengIndexDailyChartMainLowPoints(1987to1990)

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*
In the lower left corner of the glow screen, there are a total of 8 input grids at different angles. Users can input market segmentation within these 8 grids.
[ ]

Should be angles from 1 to 360. For users applying astronomical theories to financial analysis, the numbers inputted in these squares

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[ ]
[ ]

*
[ ]

*
[ ] [ ]

*
If the user wishes to print the Gann hexagon, they can press the (Print Screen) key on the keyboard, and then paste it into another application.
Paste it using applications such as: Notepad, Word, Excel, Paintbrush or Image Editor.

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[ ]

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 [ ]

[ ] [

] [ ]

[ ]

There are numbers from 1 to 360 filled in a circular manner in a counterclockwise direction. This number chart is used to predict market support and resistance.

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(1) The structure of the Gann Wheel

24 parts, each spaced 15 degrees apart, totaling 360 degrees. Due to the Gann Wheel having fifteen smaller wheels, it is also referred to as [wheel]

Figure 4-1 Gann [Wheel within a wheel]

On the Gann wheel, the right horizontal axis is 0 degrees, and then, in the counterclockwise direction, a radius is drawn every 15 degrees.

Until completed to 360 degrees. In addition, the numbers from 1 to 360 are filled in a counter-clockwise direction in the Gann wheel. From the innermost cycle.

Start with the number 1 positioned within an angle of 0 to 15 degrees, and so on, until the number 24 is positioned within an angle of 345 to 360 degrees.

In the second cycle, the number 25 is placed within the angle from O to 15 degrees, and the number 26 is placed within the angle from 15 to 30 degrees.

Similarly, up to 48 is placed within an angle of 345 to 360 degrees to complete the second cycle of the Gann Wheel.

Using the above method, fill in the numbers 1 to 360 in the Gann wheel, completing a total of 15 cycles.

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Division. Therefore, the 24 angle lines on the Gann wheel can be marked using dates.
In astronomy, March 21st, known as the spring equinox, marks the beginning of the year; therefore, the Gann Wheel also considers this day as 0 degrees.

z0/360 degrees is 21/3

z 15 degrees is 5/4
z30 degrees is 20/4
z45 degrees is 5/5.
z60 degrees is 21/5
z75 degrees is 5/6
z90 degrees is 21/6
z105 degrees is 7/7
z120 degrees is 23/7.
z135 degrees is 7/8
z150 degrees is 23/8
z165 degrees is 7/9
z 180 degrees is 22/9
z195 degrees is 8/10
z210 degrees is 23/10
z225 degrees is 8/11.
z240 degrees is 22/11.
z255 degrees is 7/12
z270 degrees is 21/12
z285 degrees is 5/1
z300 degrees is 20/1
z315 degrees is 4/2
z330 degrees is 19/2
z345 degrees is 5/3

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Static Application of Gann Wheel

I. The Square and Triangle of Time

Gann places great importance on the angular relationship of 90 degrees and 120 degrees. The former, the 90-degree relationship, is referred to as [the square of time].
(Square of Time): The latter 120-degree relationship is called [Trine of Time].

0, 90, 180, 270 degrees: Natural days include March 21, June 21, September 22, and December.
21st.
(2) 45, 135, 225, 315 degrees: Natural days include May 5th, August 7th, November 8th, and February 4th.

1) 0, 120, 240 degrees: The natural days include March 21, July 23, and November 22.

II. Square Triangle of Price Levels

Apart from time, Gann also places great emphasis on the angular relationships of price at 90 degrees and 120 degrees. The former, the 90-degree relationship...
This is called the [Square of Price], and the latter 120-degree relationship is referred to as the [Triangle of Price]. According to Gann's theory...
The numbers on the Gann wheel represent the support and resistance levels of the market. In addition, the market's support and resistance levels are based on 90 degrees and
120 degrees are interconnected.

(1) 0, 90, 180, 270 degrees:

0 degrees: 1, 25, 49, 73, 97, 121, 145, 169, 193, 217, 241, 265,
289, 313, and 337

90 7, 31, 55, 79, 103, 127, 151, 175, 199, 223, 247, 271,
295, 319 343
180 13, 37, 61, 85, 109, 133, 157, 181, 205, 229, 253, 277,
301, 325 and 349

270 19, 43, 67, 91, 115, 139, 163, 187, 211, 235, 259, 283,
307, 331, and 355

45, 135, 225, 315 degrees

45 degrees: 4, 28, 52, 76, 100, 124, 148, 172, 196, 220

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 244, 268, 292, 316, and 340

135 10, 34, 58, 82, 106, 130, 154, 178, 202, 226,
250, 274, 298, 322 and 346
225 16, 40, 64, 88, 112, 136, 160, 184, 208, 232,
256, 280, 304, 328 352
315 22, 46, 70, 94, 118, 142, 166, 190, 214, 238,
262, 286, 310, 334 358

(1) 0, 120, 240 degrees

0 1, 25, 49, 73, 97, 121, 145, 169, 193, 217, 241,
265, 289, 313 337
120 9, 33, 57, 81, 105, 129, 153, 177, 201, 225,
249, 273, 297, 321 and 345
240 17, 41, 65, 89, 113, 137, 161, 185, 209, 233,
257, 281, 305, 329 and 353

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(3) Dynamic Application of Gann Wheel

I. Timeline

The characters represent the support and resistance levels of the market. In addition, there are numbers below the angle lines that have a 90-degree and 180-degree relationship with the timeline.

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Assuming today is August 24, 1997, the user clicks the [Draw] button below the time input box with the mouse.
A red timeline can be generated, located near the label '23/8'. This timeline indicates the numbers below this angle.
The characters are the support and resistance price levels in the market: 11, 35, 59, 83, 107, 131, 155, 203, 227, 251, 275, 299, 323, 347.

Figure 4-2 Gann Wheel and Timeline

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 [ ]

The user clicks the [Square] button in the upper right corner of the screen with the mouse, which can generate three additional lines that are 90 degrees to the timeline.
The brown angle lines at 180 degrees and 270 degrees. The numbers below these angle lines are also the support and resistance levels for the day:

90 17,41,65,89,113,137,161,185,209,233,257,281,305,329,353
180 23,47,71,95,119,143,167,191,215,239,263,287,311,335,359
270 5,29,53,77,101,125,149,173,197,221,245,269,293,317,341
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[ ]

Figure 4-3 Gann Wheel with Time Line and its 90-degree, 180-degree, and 270-degree Related Angle Lines

The Shenzhen component index peaked on April 17, 2001, at 0 degrees, 90 degrees, and 180 degrees on the Gann wheel timeline.
The 270-degree mark often appears as a market reversal point, as seen in the chart below.

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Figure 4-4 Gann Wheel with Timeline and its 90-degree, 180-degree, and 270-degree Related Angular Lines

Figure 4-5 Shenzhen Component Index and Gann Wheel's time angle lines (0 degrees, 90 degrees, 180 degrees, and 270 degrees)

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Users can click the [triangle] button in the upper right corner with the mouse to generate three lines at angles of 0 degrees, 120 degrees, and
240-degree green angle lines. The numbers below these angle lines are the market's support and resistance levels.

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0 degrees: 11, 35, 59, 83, 107, 131, 155, 179, 203, 227, 251, 275, 299, 323, 347

120 19,43,67,91,115,139,163,187,211,235,259,283,307,331,355
240 3,27,51,75,99,123,147,171,195,219,243,267,291,315,339
If the user wishes to hide the 0-degree, 120-degree, and 240-degree angular lines, they can press the [Triangle] button once.
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Figure 4-6 Gann Wheel with Timeline and its 120-degree and 240-degree Related Angle Lines

The Shenzhen Component Index reached a high of 5091.46 on April 17, 2001, with the timeline and price line converging on that day.

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Figure 4-7 The convergence of time and price angles on Gann Wheel

Figure 4-8 The Shenzhen Component Index reached a high of 5091.46 on April 17, 2001, marking a turning point in the market.

II. Historical Timeline

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power level. In addition, the numbers below the angular lines that relate to the historical timeline at 90 degrees and 120 degrees are also

The US dollar against the yen reached a historic low of 79.75 on April 19, 1995. Users can refer to this historical
Enter the date '04/19/1995' in the time input box, then click the [Draw] button with the mouse, a red timeline
It will appear next to '20/4'. This timeline will be able to predict the future support and resistance levels of the market.

Figure 4-9 Relationship between time and price levels in Gann Wheel

Starting from a low of 79.75 on April 19, 1995, the USD/JPY rose to 127.80 on May 2, 1997.
The historical low of 90 degrees on April 19. The subsequent adjustment low was on June 11, 1997, when the US dollar to Japanese yen was at a mid-term low.
At 110.67, a major bottom was formed, and the number '110' happens to be right at the 180-degree angle line on the historical timeline.
Then, the US dollar against the Japanese yen rose to a high of 147.62 on August 11, 1998, and the end of this trend returned to the historical low.

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Figure 4-10 Market turning points on the USD/JPY weekly chart (1994-1998)

[ ]
(Anniversary Date) is a potential turning point in the market.

III. Price Line

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 [ ]
[ ]
Other numbers at an angle will turn green. In addition, on the angle lines formed at 90 degrees, 180 degrees, and 270 degrees with the price line.

Input the ratio of the conversion factor in the [ratio] input box, so that the historical price multiplied by that ratio will change to be between 1 and 360.
Within the scale. For example: if we are dealing with the Hang Seng Index at 16250, the ratio should be 0.01, which will change the number.
Convert characters to 162. Here are some examples:

8250 0.01 82.50

910 0.1 91

1.8050 100 180

115.60 1 115

Click the [Draw] button below the time input box with the mouse, and the price level lines and their 90-degree angle lines mentioned above will appear.

Support and resistance levels in the market. In addition, the numbers below the angle lines of 0 degrees, 90 degrees, 180 degrees, and 270 degrees of the price level line also serve as

The USD/JPY formed a historic low of 79.75 on April 19, 1995.

After inputting the grid with a ratio of 1, and clicking the [Draw] button with the mouse, the number 79 will appear on the Gann wheel.

Turn red, while other numbers that form 0 degrees, 90 degrees, 180 degrees, and 270 degrees with 79 will turn green. These numbers

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Figure4-11Theangularrelationshipofmarketturningpointpricelevels

On May 2, 1997, the dollar against the yen formed a medium-term high at 127.80, and the number 127 just coincidentally with
79 is at the same angle. The above trend is shown in the picture below:

Figure 4-12 Market turning point price levels on the weekly chart of USD/JPY (1994-1998)

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 If the price line of that day intersects with the square angles of the time line (0 degrees, 90 degrees, 180 degrees, or 270 degrees), the market will
Possible support and resistance levels. In addition, if the day's timeline aligns with historical price lines (0 degrees, 90 degrees, 180 degrees, or 270 degrees)

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*
In the lower left corner of the glowing screen, there are a total of 8 angle input boxes, where users can input angles that are helpful for trend analysis.
These angles range from 1 to 360 degrees. After inputting, the user clicks the [Draw] button below the angle input box.

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If the user wishes to end the Gann Wheel screen, they can press the [Print Screen] key on the keyboard and then paste it.
Other applications, such as: Notepad, Word, Excel, Paintbrush, or Image Editor, etc.

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W.D. Gann, 'The W.D. Gann Stock Market Course'

2.W.D. Gann, 'How to Make Profits in Commodities', W.D. Gann Holdings Inc.

3.W.D. Gann, '45 Years in Wall Street'

Truth of the Stock Tape

5. L. J. Jensen, 'Astro – Cycles & Speculative Markets', Library of Gann, 1978.

Top Secret Trading Techniques

7. Larry Jacobs, 'Master Table Charts For Time & Price Projection', Halliker’s Inc.
1986

The New Commodity Trading Systems and Methods

9. Bryce Gilmore, ‘Geometry of Markets I & II’, Bryce Gilmore and Associate, 1993.
10. Huang Bozhong, "Gann Theory - Financial Trend Analysis", Economic Daily Press, 1995.

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