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.
What is the Square of 9
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 2nd cycle, 26 through 49 completes the 3rd , 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 21st 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 21st. 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 “4th dimension in working out Time & Price movements”.
9的正方或许是江恩最著名的智慧图。许多交易者通常使用它为基本的交易工具。然而，我个人认为大多数交易者只使用了几种简单的技术，而忽视了这种多维智慧计算器的真正潜在功能。
什么是9的正方？
9的正方本上是一个数字螺旋，它以数字一为中心（或金字塔的顶端），紧挨着的左边就是二。剩下的数字螺旋就是围绕着中心以顺时针方向直到9，这样就完成了中心周围的第一圈。十到二十五构成了第二圈，二十六到四十九为第三圈，以此类推。这种数字的特殊排列构成了与圆中其他数字的一种唯一的平方根关系。Michael S. Jenkins 在他的江恩课程和他的供专业交易员阅读的名为《读图》一书中证明了在使用九的正方时的一些有趣的平方根交易技术。基本上说，如果你想在江恩轮中挪动坐标，你先选个感兴趣的数字（如所有的高点或低点），然后取数字的平方根，在把结果加二或减二，然后再取平方根。例如，我们选价格664为例，就是沿纵坐标从中心向上。它的平方根是：
25.768+2=27.768^2=771，它就在664的正上方，或者在从中心的出发的360度的圆。如果我们把平方根减二再取平方根（25.768-2=23.768^2=565）就可以得到565，他正在664的下边或向中心的360度圆。江恩标志加上这个技术，我们可以计算出聚合点（360=从根 +/- 2），反向 （180=从根+/- 1），三倍（120=+/- .666）(240=+/-1.333), 正方（90=+/-.5）（270=+/-1.5），还有六倍（60=+/-.333）（300=+/-1.666）这个技术在用于从江恩轮上确定坐标非常有用。而且，江恩相信连接锥形正方形底（正方形的四个角）到重心的数字和以十字交叉的纵向和水平方向的数字在轮中用于平衡时间和价格非常有效。他还用星相的经度在这几个重要的角中去平衡价格。毕达哥拉斯说圆中的或正方形的单位在一些特殊的点上以价格和时间相互关联。江恩经常从圣经，Emerson, 毕达哥拉斯 和法拉第引用一些来命名。基本上说，他实在向他的读者指出能让他的学生发掘他的写作风格的线索。
时间
围绕着九的正方外圈是有月和天的圆圈。这个圆形的日历始于在水平向上的轮的左边作为中心点。日期三月二十一日至的是在春季自然年的开始，此时太阳在白羊座。上帝之羊带走了世上的罪恶(春季带走了冬季的罪恶)。日期以顺时针绕着圆转完成了日历。这个关系让使用者很快能确定出以日地关系为基础的在过去的日历日期的聚合点，反向，正方，三倍，或六倍方向的日期。
在江恩的股票课程中，他说道：“在圆中形成了一个正方形，其中有一个内圆和内正方形，同时还有外圆和外正方形，它们构成了价格运动的四围空间。”现在，我们已经讨论了内圆（地球绕日的轨道）和内正方形（在正方形上的历史坐标高低点）。外圆包括所有的行星而且黄道带在三月二十一日始于正方形的左边。从这点起顺时针以30度为基准绕圆运动会将所有12个黄道的标记置于轮周围。这就完成了外圆，而且分析人员可以验证在9的正方形上星球经度与价格的坐标关系，它就是外圆。以这种方法，我们可以将星球位置以度数和9的正方的坐标转换成价格。还有，我们可以用第一次交易图（诞生图），如星象（另一个内圆），去定位从外圆被行星标记的敏感的经度位置而使他们成为“活角”。到底这个多维工具有没有截止？江恩暗示这个诞生星象技术时，讲到：“当公司构成的日子和股票第一次在纽约证券交易市场或其他交易市场交易的日子引起了在不同日子的高低点，这些日期有季节性变化。”江恩还在他的值得一读的大豆信中证明这一技术。我相信这就是江恩在导论自然法则时的所要指明的。
江恩说，根据震动法则，每只股票和市场上的商品都会根据自己独有的星球运动而运动。（诞生星象）就象强度，量和方向。所有这些重要的性质都根据自己的震动率变化发展。股票和商品，象原子，就是能量的中心。他们创造了自己的运动和能量的场，吸引和排斥的力量，这就揭示了为什么一些股票和商品在某些时候带领市场而在另一些时候又转为死气沉沉。这样，科学的说遵守自然法则是绝对需要的。震动是基础；没有任何东西可以从法则中豁免。它是通用的，因此地球上任何现象都是通用的。这样，我肯定任何现象，无论是自然还是市场，一定都是遵循着不变的因果，和谐和震动法则。
没有人明确怎样运用江恩的计算器，但是如果你研究这些东西而且运用到这篇文章里，我想你会同意江恩大概是如何运用这种可以证明在思维空间计算时间和价格运动的工具的。 |
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发表于 2006-10-7 03:11:33
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