The Gann Wheel
Octagon
Chart, Pythagorean Cube, Square of 9
91 |
92 |
93 |
94 |
95 |
96 |
97 |
98 |
99 |
100 |
101 |
90 |
57 |
58 |
59 |
60 |
61 |
62 |
63 |
64 |
65 |
102 |
89 |
56 |
31 |
32 |
33 |
34 |
35 |
36 |
37 |
66 |
103 |
88 |
55 |
30 |
13 |
14 |
15 |
16 |
17 |
38 |
67 |
104 |
87 |
54 |
29 |
12 |
3 |
4 |
5 |
18 |
39 |
68 |
105 |
86 |
53 |
28 |
11 |
2 |
1 |
6 |
19 |
40 |
69 |
106 |
85 |
52 |
27 |
10 |
9 |
8 |
7 |
20 |
41 |
70 |
107 |
84 |
51 |
26 |
25 |
24 |
23 |
22 |
21 |
42 |
71 |
108 |
83 |
50 |
49 |
48 |
47 |
46 |
45 |
44 |
43 |
72 |
109 |
82 |
81 |
80 |
79 |
78 |
77 |
76 |
75 |
74 |
73 |
110 |
121 |
120 |
119 |
118 |
117 |
116 |
115 |
114 |
113 |
112 |
111 |
The Square of 9 is probably W.D. Gann’s most famous Master Chart. Many traders use this chart regularly
as a primary trading tool. However, it is my personal belief that most traders are only using a few simple techniques and are not fully utilizing the true potential of this multidimensional Master Calculator.
The Square of 9 is basically a spiral of
numbers starting with the number one in the center (or apex of the Great
Pyramid) with the number 2 immediately to the left. The rest of the numbers spiral around the center in a clockwise fashion
to the number 9, which completes the first cycle of numbers around the
center. 10 through 25 completes the 2^{nd}
cycle, 26 through 49 completes the 3^{rd} , etc… This particular arrangement of numbers
creates a very unique square root relationship with other numbers on the
chart. Michael S. Jenkins illustrates
some interesting square root trading techniques utilizing the Square of 9 in
his Gann Course and his book Chart Reading for Professional Traders. Basically, if you want to move around the
coordinates on the Gann Wheel you take the number you are interested in ( such
as the all time High or Low price) take the square root of the number, then add
or subtract 2 from the root and resquare the result. Example: Lets say that we
are interested in the price 664 (which is in the vertical column straight up
from the center). The square root is
25.768 + 2 = 27.768^2 = 771 which is the number directly above 664 or one full
360 degree cycle out from center. If we
subtracted 2 from the root and re-squared the number (25.768-2= 23.768^2 = 565
) we would get 565 which is directly below 664 or one full 360 degree cycle in
towards center. Incorporating the Gann
Emblem with this technique, allows us to calculate coordinates that are
conjunct (360 = +/- 2 from the root),
opposition (180 = +/- 1 from root #), trine (120= +/- .666) (240= +/- 1.333),
square (90 = +/- .5) (270= +/- 1.5) and
sextile (60 = +/- .333) (300 = +/- 1.666).
This technique is extremely useful for finding coordinate squares on the
Gann Wheel that are making hard aspects to a previous position on the
wheel. Also, Gann believed that the
numbers that connected the square base of the pyramid (the 4 corners of the
square, i.e. corner #’s.) to the “gravity center” and also the numbers that ran
straight vertical and horizontal from the “gravity center” in the form of a
cross (cardinal numbers) were very important in balancing “Price & Time” on
the wheel. He was basically looking for
astronomical longitudes to balance with price on these key angles. Pythagoras said “ Units in a circle or in a
square are related to each other in terms of Price & Time at specific
points.” Gann often quoted the Bible,
Emerson, Pythagoras and Faraday to name a few.
Basically, he was pointing the reader of his works to clues that would
allow his student to unlock the code of his writing style.
Time
Around the outer perimeter of the Square
of 9 is a circle with months and days.
The circular calendar starts on the left-hand side of the wheel on the
same horizontal line as the center block.
The date is March 21^{st} and refers to the start of the
“natural” year in the season of Spring with the Sun in Aries ^. “Lamb of God you take away the sins of the
world” ( Spring takes away the sins of Winter). The dates move around the circle clockwise completing the
calendar. This relationship allows the
user to quickly identify dates that are Conjuct, Opposite, Square, Trine or
sextile to a past calendar date relative to the Sun / Earth relationship.
In Gann’s Master Course for Stocks he
said “ 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.” So far, we have covered the inner circle ( The Earth’s Orbit
around the Sun) and the inner square ( Historic high & low coordinates on
the square itself). The outer circle includes
all of the planets and is the Zodiac starting at the left side of the square
also on March 21^{st}. Moving
from this point clockwise in 30 degree sections of the circle will place all 12
zodiac symbols around the wheel (^_`abcdefghi). This completes the outer circle and allows the
analyst to examine planetary longitude relationships to price coordinates on
the Square of 9, which is now an outer square. In this way, we can convert
planetary positions to prices relating to degrees of a circle (Zodiac longitude)
and also to coordinates on the Square of 9.
We can also examine hard aspects to both zodiac longitude and Square of
9 coordinates. Furthermore, we can also
use a first trade chart ( Natal Chart ), i.e. horoscope (another inner circle)
to locate sensitive longitude positions that are being aspected by planets from
the outer circle making them “Live Angles”!
Is there any end to this multidimensional tool? Gann hinted about this natal horoscope
technique in his Master Course for Stocks by saying “ The dates when companies
are incorporated and the dates when stocks are first traded in on the New York
Stock Exchange or the other exchanges causes them to make tops and bottoms at
slightly different dates then these dates for seasonal changes”. Gann also illustrated this technique in his
Soybean letter, which is well worth reading.
I believe that this is what Gann meant when he discussed “Natural
Law”.
Gann said “ Through the law of vibration
every stock and commodity in the market place moves in its own distinctive
sphere of activities,” (natal horoscope?) “ As to intensity, volume and
direction. All the essential qualities
of its evolution are characterized in its own rate of vibration. Stocks and commodities, like atoms, are
really centers of energies, therefore they are controlled mathematically. They create their own field of action and
power, power to attract and repel, which explains why certain stocks and
commodities at times lead the market and turn dead at other times. Thus, to speculate scientifically it is
absolutely necessary to follow Natural Law.
Vibration is fundamental; nothing is exempt from its law. It is universal, therefore applicable to
every class of phenomena on the globe.
Thus, I affirm every class of phenomena, whether in nature or in the
market, must be subject to the universal laws of causation, harmony and
vibration.”
Nobody knows for certain how Gann used this Master Calculator, but
If you will study this material and apply the techniques presented in this
article, I think you will agree that this is how Gann probably used this tool
which proves the “4^{th} dimension in working out Time & Price
movements”.