The Square of 9 is probably W.D. Gann's most famous Master Chart. Many traders use
0 b5 g3 k8 i. W1 ^9 {& i8 j( O0 Jthis chart regularly as a primary trading tool. However, it is my personal belief that most( u6 S2 o/ C& K0 f$ x% _
traders are only using a few simple techniques and are not fully utilizing the true potential3 r5 C( |- d) m; Z9 a
of this multidimensional Master Calculator.7 x5 k5 d1 m7 Y: W, h3 s
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What is the Square of 9 The Square of 9 is basically a spiral of numbers starting with the9 w, h# ~3 \, p6 ]# M
number one in the center (or apex of the Great Pyramid) with the number 2 immediately4 ]: k" j! C! y' Q7 j6 W& K
to the left. The rest of the numbers spiral around the center in a clockwise fashion to the+ k# ]; U! C9 Y' ?3 v
number 9, which completes the first cycle of numbers around the center. 10 through 25
; o: K$ v4 A4 D6 U: [0 ~. V& g7 j( [* Hcompletes the 2nd cycle, 26 through 49 completes the 3rd , etc… This particular
]+ Y/ O6 v S. w! d, O G/ `9 O1 ]arrangement of numbers creates a very unique square root relationship with other% A! U$ z# Q- F5 n% i
numbers on the chart. Michael S. Jenkins illustrates some interesting square root trading
% H5 H+ z. ~. E. `6 w* b! z5 u) qtechniques utilizing the Square of 9 in his Gann Course and his book Chart Reading for
0 f- R( r( U6 ^Professional Traders. Basically, if you want to move around the coordinates on the Gann& v1 }) ]( g; E' e( u
Wheel you take the number you are interested in ( such as the all High or Low price)( h/ t, I2 q* P( {/ {! e
take the square root of the number, then add or subtract 2 from the root and resquare the2 j2 D ~! Z, E# X! `! ?( @; p
result. Example: Lets say that we are interested in the price 664 (which is in the vertical
' L0 ]5 e4 c, R. K) n W+ S, pcolumn straight up from the center). The square root is 25.768 + 2 = 27.768^2 = 771& v' s$ y, A: D# f* A* J" |
which is the number directly above 664 or one full 360 degree cycle out from center. If ^ m: a( E, J2 a* U3 F
we subtracted 2 from the root and re-squared the number (25.768-2= 23.768^2 = 565 )
# g( v1 h: X0 k: x: Wwe would get 565 which is directly below 664 or one full 360 degree cycle in towards* w1 i) d9 T" Z% W% C9 \
center. Incorporating the Gann Emblem with this technique, allows us to calculate/ m/ f" X% ?9 t- ?0 ~. ?
coordinates that are conjunct (360 = +/- 2 from the root), opposition (180 = +/- 1 from/ L1 A6 J* s3 p( w ~7 P4 C
root #), trine (120= +/- .666) (240= +/- 1.333), square (90 = +/- .5) (270= +/- 1.5) and/ @+ i2 j4 ?0 [$ V9 k7 B# _1 A
sextile (60 = +/- .333) (300 = +/- 1.666).% ~" d4 y+ u+ D2 o
5 n% C3 O- j* z6 p/ I! mThis technique is extremely useful for finding coordinate squares on the Gann Wheel that
* \2 Y3 q1 I/ f5 ^% _4 S) p5 Gare making hard aspects to a previous position on the wheel. Also, Gann believed that the3 c, J) i, @) n2 u) R0 b' z/ g3 C7 J: `' k
numbers that connected the square base of the pyramid (the 4 corners of the square, i.e.4 k9 u: t+ x" E
corner #'s.) to the “gravity center” and also the numbers that ran straight vertical and
) t) {* V& E1 j" E$ Mhorizon tal from the “gravity center” in the form of a cross (cardinal numbers) were very# O/ k6 }! b" W( ^; `
important in balancing “Price & Time” on the wheel. He was basically looking for; ?, v: U$ O# J8 ^ a/ }/ ~3 w
astronomical longitudes to balance with price on these key angles. Pythagoras said “
% E2 \/ ?$ x/ m6 g u: mUnits in a circle or in a square are related to each other in terms of Price & Time at( b# y$ q" j2 ^$ Y$ s. k B) G* R
specific points.” Gann often quoted the Bible, Emerson, Pythagoras and Faraday to name* i( M$ @! M/ D% n
a few. Basically, he was pointing the reader of his works to clues that would allow his! T4 j: ?: X5 N7 S" B& i8 p
student to unlock the code of his writing style.
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Time around the outer perimeter of the Square of 9 is a circle with months and days. The; r( a9 B' b: m* P7 h
circular calendar starts on the left-hand side of the wheel on the same horizontal line as) P9 ?% H5 w ~1 k" x2 ?6 H. G
the center block. The date is March 21st and refers to the start of the “natural” year in the" i( l$ Q8 |8 Y+ R: r
season of Spring with the Sun in Aries ^. “Lamb of God you take away the sins of the
8 O) b: q: t, Kworld” ( Spring takes away the sins of Winter). The dates move around the circle* F, f/ U" e+ ]& Q4 J9 T
clockwise completing the calendar. This relationship allows the user to quickly identify
5 k7 ?5 B! v0 n5 tdates that are Conjuct, Opposite, Square, Trine or sextile to a past calendar date relative) j2 ?$ h( F5 B( C- M5 k
to the Sun / Earth relationship.
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2 a- C5 H$ r8 d) B9 {In Gann's Master Course for Stocks he said “ Within the circle forms the square, there is0 Z* S- E0 N0 q3 d- p! P# {' `2 ]1 g
an inner circle and an inner square, as well as an outer square and an outer circle which
8 M1 B9 A* H4 mprove the Fourth Dimension in working out price movements.” So far, we have covered: I( p# k* h% T! V/ F: u
the inner circle ( The Earth's Orbit around the Sun) and the inner square ( Historic high &
% G9 r5 a. I0 n& W5 ^8 h elow coordinates on the square itself). The outer circle includes all of the planets and is the
* p# }8 ^3 ]% a% V" j2 nZodiac starting at the left side of the square also on March 21st. Moving from this point: ?( b6 P6 q& e: F- Q
clockwise in 30 degree sections of the circle will place all 12 zodiac symbols around the
5 p8 L5 U P8 F8 H9 t9 ]: Awheel (^_`abcdefghi). This completes the outer circle and allows the analyst to examine6 c9 q! y! H* f1 r! b/ l2 e
planetary longitude relationships to price coordinates on the Square of 9, which is now an4 a% ` f2 }% ^. I2 ? p/ _. b3 l
outer square. In this way, we can convert planetary positions to prices relating to degrees
, ], x+ r$ z! ?5 g5 U; zof a circle (Zodiac longitude) and also to coordinates on the Square of 9. We can also6 O7 U# |2 M3 @; b# S
examine hard aspects to both zodiac longitude and Square of 9 coordinates. Furthermore,
6 H+ h3 }, k" S7 q- I# i8 zwe can also use a first trade chart ( Natal Chart ), i.e. horoscope (another inner circle) to
- ]" I7 J. W+ ]7 e/ dlocate sensitive longitude positions that are being aspected by planets from the outer3 K% p e$ S' U% @% j2 v
circle making them “Live Angles”! Is there any end to this multidimensional tool? Gann
9 B: K( f& T S8 H0 qhinted about this natal horoscope technique in his Master Course for Stocks by saying “ D4 f* C, \ ?0 l
The dates when companies are incorporated and the dates when stocks are first traded in& p% T( S1 V G! k% G* Y
on the New York Stock Exchange or the other exchanges causes them to make tops and
, }# z4 s/ ~1 b' P5 @8 u7 ibottoms at slightly different dates then these dates for seasonal changes”. Gann also7 t# D m# c) `% \3 a
illustrated this technique in his Soybean letter, which is well worth reading. I believe that
7 d/ K/ J. d' q: u/ ^. {$ Athis is what Gann meant when he discussed “Natural Law”.
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1 D4 N/ B1 ^2 j) U% R' |Gann said “ Through the law of vibration every stock and commodity in the market place
' [2 E( V* a2 i7 g/ I1 E; wmoves in its own distinctive sphere of activities,” (natal horoscope?) “ As to intensity,
" m7 u9 H# P* R0 T' q7 Cvolume and direction. All the essential qualities of its evolution are characterized in its
7 Z1 Q1 _" n+ e0 Eown rate of vibration. Stocks and commodities, like atoms, are really centers of energies,
( Q3 C1 W- i# q4 w& Ctherefore they are controlled mathematically. They create their own field of action and% |: Z% O) U& ]& W3 L' ]6 m: U
power, power to attract and repel, which explains why certain stocks and commodities at
. W) U; {( N6 N: ^ s lead the market and turn dead at other times. Thus, to speculate scientifically it is
# Z+ m4 v/ p# w! Babsolutely necessary to follow Natural Law. Vibration is fundamental; nothing is exempt0 @) i' T! n# p
from its law. It is universal, therefore applicable to every class of phenomena on the O% g/ A# D. B! X! j& Z% J: J% k
globe. Thus, I affirm every class of phenomena, whether in nature or in the market, must: {+ p. K3 d7 x
be 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
8 {6 \& \, k6 S: ~, ]' Tthis material and apply the techniques presented in this article, I think you will that* s0 a$ y7 k7 c) P/ T
this is how Gann probably used this tool which proves the “4th dimension in working out, H4 u" _% ~0 |8 Z
Time & Price movements”. |