The Square of 9 is probably W.D. Gann's most famous Master Chart. Many traders use
( ~1 g3 A+ E: I zthis chart regularly as a primary trading tool. However, it is my personal belief that most
6 y! o( E- G! Y' C+ W2 S6 vtraders are only using a few simple techniques and are not fully utilizing the true potential- u8 A1 \ ?" d
of this multidimensional Master Calculator.0 G/ u0 v$ w! B
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What is the Square of 9 The Square of 9 is basically a spiral of numbers starting with the( A4 v5 z+ g$ K. W
number one in the center (or apex of the Great Pyramid) with the number 2 immediately
6 g; d; K, R5 D: v, a' ^3 m( rto the left. The rest of the numbers spiral around the center in a clockwise fashion to the
; Z( c" b4 _: l% S6 G8 pnumber 9, which completes the first cycle of numbers around the center. 10 through 25
6 [" P2 e. q7 ?+ n6 ucompletes the 2nd cycle, 26 through 49 completes the 3rd , etc… This particular
8 ^, q$ E4 C, ^ W& y& _) l5 ?arrangement of numbers creates a very unique square root relationship with other2 O7 v, k* F) s& f& K: ^" [
numbers on the chart. Michael S. Jenkins illustrates some interesting square root trading* V e; K: W- v& h, }
techniques utilizing the Square of 9 in his Gann Course and his book Chart Reading for/ _; `" K6 M5 ` s7 G6 }- s
Professional Traders. Basically, if you want to move around the coordinates on the Gann
^! x( Z3 A, n3 R# hWheel you take the number you are interested in ( such as the all High or Low price)4 r& Q) B" r/ l2 |. f
take the square root of the number, then add or subtract 2 from the root and resquare the
0 n- u' ^" `7 V5 G; u6 `- Qresult. Example: Lets say that we are interested in the price 664 (which is in the vertical
, G4 Z& w6 t: |! H: y6 A9 d$ _) ^column straight up from the center). The square root is 25.768 + 2 = 27.768^2 = 771
9 V* u+ p Q' swhich is the number directly above 664 or one full 360 degree cycle out from center. If8 c* b/ V+ B" Y# T1 B5 b: l
we subtracted 2 from the root and re-squared the number (25.768-2= 23.768^2 = 565 )
& z+ Y9 y' I. k+ Bwe would get 565 which is directly below 664 or one full 360 degree cycle in towards* u! U9 r; o4 n3 ]
center. Incorporating the Gann Emblem with this technique, allows us to calculate
/ A+ G, \9 B- Y# U# P, [2 hcoordinates that are conjunct (360 = +/- 2 from the root), opposition (180 = +/- 1 from2 N% _' Z* F. G1 N( D
root #), trine (120= +/- .666) (240= +/- 1.333), square (90 = +/- .5) (270= +/- 1.5) and3 C4 R0 D1 [6 j, v& O4 I
sextile (60 = +/- .333) (300 = +/- 1.666). s* t" A, }1 t( }+ _
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This technique is extremely useful for finding coordinate squares on the Gann Wheel that' A6 o' D) p. M. D6 l- [# Y
are making hard aspects to a previous position on the wheel. Also, Gann believed that the2 f' L4 Z9 T( E) w. i- v
numbers that connected the square base of the pyramid (the 4 corners of the square, i.e.( }6 J; l6 d4 R9 J- T; X
corner #'s.) to the “gravity center” and also the numbers that ran straight vertical and
3 l- e$ f/ Q5 m3 e3 x5 d' J* A! F8 Nhorizon tal from the “gravity center” in the form of a cross (cardinal numbers) were very- G2 u o. V1 {1 j/ Y) K/ W
important in balancing “Price & Time” on the wheel. He was basically looking for
; d7 f* \* `3 o) V7 l0 `) vastronomical longitudes to balance with price on these key angles. Pythagoras said “: W, P! n# D5 C4 D. J
Units in a circle or in a square are related to each other in terms of Price & Time at
6 P# L% F; W. p4 R- gspecific points.” Gann often quoted the Bible, Emerson, Pythagoras and Faraday to name
0 e% o2 c; c3 oa few. Basically, he was pointing the reader of his works to clues that would allow his
; B+ m! D5 B8 b" p6 W/ R& c* G& Cstudent to unlock the code of his writing style., u2 ~, [. o/ j: e0 _1 ^
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Time around the outer perimeter of the Square of 9 is a circle with months and days. The. Y2 \6 I# D. T# ]
circular calendar starts on the left-hand side of the wheel on the same horizontal line as
9 q! h, H' z" }. G7 E1 sthe center block. The date is March 21st and refers to the start of the “natural” year in the
; ]# k; V1 y" a& ]9 v& Dseason of Spring with the Sun in Aries ^. “Lamb of God you take away the sins of the
' V" ]+ t+ k7 V. xworld” ( Spring takes away the sins of Winter). The dates move around the circle7 @- o: B' }4 K. u7 ?9 |3 D
clockwise completing the calendar. This relationship allows the user to quickly identify8 q# D3 B# M8 j6 N- b, @* Z* ?
dates that are Conjuct, Opposite, Square, Trine or sextile to a past calendar date relative; M7 C6 o4 [- X9 n
to the Sun / Earth relationship.: M& p) N1 Q$ d' V0 t
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In Gann's Master Course for Stocks he said “ Within the circle forms the square, there is, T4 m) M/ X f! L; x+ d( |: h
an inner circle and an inner square, as well as an outer square and an outer circle which# J$ ]: _0 C2 |, |1 w, f. n3 O
prove the Fourth Dimension in working out price movements.” So far, we have covered
5 S7 Y W: m5 a7 a! W8 Cthe inner circle ( The Earth's Orbit around the Sun) and the inner square ( Historic high &
. z9 L" ]: s* e4 Xlow coordinates on the square itself). The outer circle includes all of the planets and is the
/ U# J6 G* T# J4 ]7 pZodiac starting at the left side of the square also on March 21st. Moving from this point
% n: r5 D ?$ z" N- M/ ]) Yclockwise in 30 degree sections of the circle will place all 12 zodiac symbols around the# {) ?( I+ b1 I' p3 }( I a3 q
wheel (^_`abcdefghi). This completes the outer circle and allows the analyst to examine
$ B0 Y: b5 B7 G9 Y$ x. Zplanetary longitude relationships to price coordinates on the Square of 9, which is now an' i2 `! D! ~0 b, I* a# h
outer square. In this way, we can convert planetary positions to prices relating to degrees
; s3 }9 r. W/ Q. c# jof a circle (Zodiac longitude) and also to coordinates on the Square of 9. We can also* t/ [& T) W8 W! v: g
examine hard aspects to both zodiac longitude and Square of 9 coordinates. Furthermore,& }) u4 e0 q' u, j* n3 i9 w0 l+ G1 m
we can also use a first trade chart ( Natal Chart ), i.e. horoscope (another inner circle) to
1 \: t6 b( u( X+ O |. Vlocate sensitive longitude positions that are being aspected by planets from the outer" a) p/ @6 D8 z. i# X
circle making them “Live Angles”! Is there any end to this multidimensional tool? Gann7 L& q' j3 U1 ]# Q E1 j
hinted about this natal horoscope technique in his Master Course for Stocks by saying “. O' l+ b( a+ t
The dates when companies are incorporated and the dates when stocks are first traded in
6 N& i1 i# D5 W( y* Jon the New York Stock Exchange or the other exchanges causes them to make tops and( ]8 z; A% ~9 _1 `# H2 I2 o7 ]& k
bottoms at slightly different dates then these dates for seasonal changes”. Gann also0 }, e8 H" d) A* J6 J. M4 @
illustrated this technique in his Soybean letter, which is well worth reading. I believe that8 V6 J: s+ C. m& t
this is what Gann meant when he discussed “Natural Law”.8 [ ]& `+ Q* B6 P* J4 }
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Gann said “ Through the law of vibration every stock and commodity in the market place& N9 u+ x- B( u% j7 u2 W
moves in its own distinctive sphere of activities,” (natal horoscope?) “ As to intensity, o9 s- r3 G0 [$ X' H H
volume and direction. All the essential qualities of its evolution are characterized in its0 e# U. v* x( G* [+ J" }3 J
own rate of vibration. Stocks and commodities, like atoms, are really centers of energies,- A- {6 H! j( \0 R4 t1 m7 z" k
therefore they are controlled mathematically. They create their own field of action and
2 F2 l2 g% S+ ? lpower, power to attract and repel, which explains why certain stocks and commodities at& {" `- y/ d! N; t
s lead the market and turn dead at other times. Thus, to speculate scientifically it is `. z. n0 a! w! |9 T1 d8 r: c' ~
absolutely necessary to follow Natural Law. Vibration is fundamental; nothing is exempt! S& h; \' E5 T2 R
from its law. It is universal, therefore applicable to every class of phenomena on the& C' e$ v* X V3 V; l, k
globe. Thus, I affirm every class of phenomena, whether in nature or in the market, must
* I. e0 Q) {& z2 V# t2 H4 C2 q1 U" Pbe subject to the universal laws of causation, harmony and vibration.”
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Nobody knows for certain how Gann used this Master Calculator, but If you will study% ?9 k/ i% f- y5 [' `% b
this material and apply the techniques presented in this article, I think you will that3 ~$ T0 l7 ~; K) o5 u6 m6 Z
this is how Gann probably used this tool which proves the “4th dimension in working out
$ |, G1 g6 e: O U3 c$ dTime & Price movements”. |