[转载]江恩预测市场的主宰数学公式

Gann’s Master Mathematical Formula For Market Predictions

By Daniel T. Ferrera

江恩预测市场的主宰数学公式---丹尼奥.佛尔莱拉

“After fifty-two years of experience and research going back hundreds of years, I have proved to my entire satisfaction that history repeats and that when we know the past, we can determine the future of prices”. The calculator that Gann is talking aboutis his square of 52 overlay, which is based upon the 52 weeks in a year.

江恩说：“经过52年的经验并研究回顾了上百年的历史之后，我已日臻完美，并且证明了历史是不断重复的，而当我们理解了过去，我们就可以测定未来的价格。”江恩谈到的计算器就是他的52周塑料覆盖方图，它是基于一年共有52个星期。

“ 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”.This quote is describing a fractal nature or structural pattern existing in the markets that is the same on smaller levels as it is at larger levels.

“在圆中可以画出一个内接的正方，然后在这个正方内又可以形成一个内圆和内方，同样在这个圆外也可以画出一个外方和外圆，这就证明了这个第四维的测量工具能够计算出价格的波动。”这句引用江恩的原话，描述了存在于市场中分型的自然或结构性关系，事物在宏观水平和它在微观水平时是一模一样的。【注：上面这段话是江恩理论的精髓，时间与价格成正方代表了市场自相似的分型结构，这是多么伟大的发现！】

Jumping over to Gann’s Angle course, on the last page, Gann says: “Figuring $100par, as a basis for stock prices and changing these prices to degrees, 12? = 45-degrees, 25 = 90-degrees, 37?= 135-degrees, 50 = 180-degrees, 62? = 225-degrees, 75 = 270-degrees, 82? = 315-degrees, and 100 = 360”. If shares of XYZ stock moved up 12? dollars in 45 days, weeks or 45 months then the stock is on the price degree of its time angle, that is to say that price and time are equal or balanced.

跳过江恩的角度线课程，在最后一页江恩说：“计算一个票面价格为100美圆的股票，把100$作为股票价格的基数，并把价格转换成角度的换算关系为：12.5 $= 45度，25$ = 90度，37.5$ = 135度，50$ = 180度，62.5 $= 225度，75$ = 270度，82.5$ =315度，100$ =360度。”假如有个名字叫XYZ的股票经过了45天或周或月上涨了12.5美圆，那么这个股票的的价格就等于它换算的时间角度，这样我们就可以说价格和时间相等并达到平衡了。【注意：1.这里把100$作为股价循环的基数；2.这里假定波动率为每日或每周或每月1$】

Gann’sexample: “When a stock sells at 50 on the 180^thday, week or month, it is on the degree of its time angle”. “On February 1, 1915, U.S. Steel made a low at $38, which is closest to a price of $37?, which is 3/8^thof 100 and equals 135-degree angle. Steel was 14 years or 168 months old on February 25, 1915, and hit the angle of 135-degrees, which showed that the price of Steel was behind time, but was in a strong position, holding at $38 above the 135-degree angle or the price $37?”. Just to make sure that you understand this information, U.S. Steel would have been balanced or “on the degree of its time angle” at a price of $46，5/8^thbecause $100/ 360-degrees = 0.27777cents per degree and 168 months multiplied by 0.27777 = $46.67 which is closest to $46 or 5/8^thin price. Therefore, Steel is $8 5/8^thbehind time.

江恩所举的事例：“当一个股票在第180天或周或月到达50的价格时要卖掉，因为它的价格水平已经到达它的时间形成的角度”“在1915年的2月1日，美国钢铁形成了一个38美圆的低点，这个价格非常接近37.5美圆，它也是100的3/8或者等于135度角。在1915年的2月25日美国钢铁上市的时间周期就将达到14年或者168个月了，它已触及(并超越)了135度角，这显示了钢铁的价格落后于时间，但它正处在一个很强大的支撑位置上，38美圆正好超过了135度角以及37.5的价格”。要是你确信你能够理解上面的意思，美国钢铁的价格在46.625美圆将达到时间与价格平衡或者价格水平处于它的时间角度上， 因为100美圆除以360度等于0.27777分/度，那么168个月乘以0.27777就是46.67美圆，与46.625美圆在价格上非常接近，这样钢铁价格就比时间落后了8.625美圆。【注：时间相对于1915年2月1日的低点38美圆，每月1美元的波动率】

Gann goes on to say: “When Steel reached $200, it equaled 2 circles of 360-degrees (two complete cycles of $100). When it advanced to $261?, it was closest to $62? (5/8^th) in the third cycle of $100 or nearest the 225-degree angle or 5/8^thpoint, which is the strongest angle after it crossed the half-way point at $250 or the 180-degree angle”. Note that Gann rejects the two circles or cycles of $100 price to convert the time angle.

江恩接着说到：“当钢铁的价格达到200美圆的时候，它等于2个360度的圆（两个完整的100美圆循环）。而当价格上涨到261.75美圆时，它就十分接近第三个100元的循环的62.5（5/8）美圆位置，此时也是接近225度或者说5/8的位置，这将是当它的价格突破250美圆的半分位置或者180度角之后的最强大的角度。”注意这里江恩并没有将两个循环或者100美圆的价格循环换算成时间角度。

Moving on to the subject of time we know that Gann placed great emphasis on the cardinal points of the solar year. These are the Vernal Equinox, Summer Solstice, Autumnal Equinox and Winter Solstice or March 21^st, June 21^st, September 21^st, and December 21^strespectively.Gann always said that the year begins at March 21^st(not January 1^st) and that this was a very important seasonal time.

让我们回到时间的主题，我们知道江恩非常强调太阳年的重要节气，它们分别是两分两至，分别是3月21日（春分），6月21日（夏至），9月21日（秋分），和12月21日（冬至）。江恩总是说一年的起点是在3月21日（而不是1月1日），它是一个非常重要的季节性周期时间。

Now this is where Gann’s“within the circle forms the square”quote gets real interesting! If we treat each natural year (March 21^stto March 21^st) as a complete circle, which it is because the earth has gone 360-degrees around the Sun, and take W.D. Gann at his word that there is a square within this orbit then we come up with some very unique geometrical information about time and squares.

这正是我们引用江恩所说 “圆中有方”真正有趣的地方。假如我们把每一个自然年（3月21日到下一年3月21日）看成是一个完整的时间周期循环，这是因为地球围绕太阳需要旋转了360度。按照江恩的说法在这个轨道里画出一个正方（等分外圆的轨道），这样我们就可以获得一些有关时间与正方非常特别的几何的角度。

Let’s build a hypothetical square running from Vernal Equinox to Vernal Equinoxas our horizontal axis and we will use 0 to 100 as our vertical. If we draw in the two 45-degree Angles corner to corner we have a shape that looks like a box with an “X” in it. The two 45’s will meet at the exact center of both price and time at $50 on the Autumnal Equinox or September 21^st.

让我们画出一个假想的正方形从一个春分（3.21）运行到下一年春分（3.21）作为我们的水平轴，然后用从刚才的春分点画一个0—100的垂直轴（代表价格空间），假如我们从一个对角到另一个对角画两条相互垂直的45度对角线，看起来就象一个正方盒子里有个十字叉，两个45度的线的交点精确的落在时间和价格的中心位置，分别是50和9月21日秋分。【注：这里一个春分到下一个春分的时间横轴代表了1年的时间周期，正方形的垂直轴代表价格波动的空间0-100。】

If we bisect this square again with a horizontal line going left to right at $50, and a vertical line going straight up from the Autumn Equinox we can create four smaller squares with half of the x already completed. If we complete these smaller boxes with the missing 45-degree line we will find that these points come out at $25 and $75 in price and also 25% and 75% in time or Sumer Solstice to Winter Solstice (June 21^stto December 21^st).

假如我们再次以通过50的水平线从左到右将这个正方型切开，然后再通过秋分点垂直分割就得到四个相对小一点的方形（$25X90天），假如我们用45度的虚线对角线来对小方做分割，就可以找到$25和$75的价格和25%（90天）和75%（270天）的时间，或者夏至到冬至（6月21日-12月21日）。

If we take these 4 points, which are $25 on June 21^st, $75 on June 21^st, $25 on December 21^stand $75 on Decembers 21^stand make a new square, we find that our new square is exactly half the size of our former square set within the ? points in terms of both price and time.

假如我们用这四个点，分别是$25和6月21日，$75和6月21日，$25和12月21日，$75和12月21日，做成一个新的方形，我们就会发现我们这个新的方形刚好在尺寸上是我们原先方形的一半大小，而它的几个点都正好落在时间和价格的4等分点。

Our new square also maintains the exact center of our old square at $50. This new square is now an exact musical octave of the old square because it’s based upon powers of 2 or is exactly ? our old square. This tells us that if we want to find a square that is within our old square that we will only find it between the two Solstice points in the year! If we wanted to enlarge the original square (to find an outer square) we would again follow the natural law of the musical octave, i.e. powers of 2.

我们得到这个新正方形的中心点依然还在原来大正方形的$50这个位置上。这个新的正方形现在和老的正方形之间存在了一种音乐八阶和谐关系，因为它们之间存在2的幂或大正方形1/2的关系。这就告诉我们假如我们想要在原来的大方形里找到一个小正方形我们仅仅需要在一年中的夏至到冬至之间去寻找，而我们如果想扩大这个原始的1年周期正方形（目的为了获得外面的2年周期正方形），我们还是要遵守音乐八阶的自然法则，比如2的幂。

The first part of the problem is easy because we know that the next square is going to be twice as large as our old square. So this means that we are moving up from a one-year square to a two-year square in terms of time but this does not answer where in time this new square begins and ends.

问题的第一部分是很容易的，因为我们知道下一个2年周期的正方形将会比我们原先的正方形周期大两倍。所以这个意思是说我们根据时间周期就从一年周期的正方形扩大为两年周期的正方形，但是这里没有回答这个新正方形的时间应该从那里开始和从那里结束。【注：选择正确的起点至关重要】

To calculate where this larger square begins and ends we have to use the rule “as above so below”. In other words, when we made the smaller square, we found that it existed within the larger square at the 25% and 75% points in time, therefore March 21^stto March 21^stis within the ? points of the larger square above it. In our one-year square, a ? of time is 90-degrees or 91.3125 solar days. This means that a ? of time in the next larger square is 180-degrees or 182.625 solar days, i.e. twice as big. If we add and subtract 180-degrees/days from our smaller square running March to March, we will find that our two-year square begins and ends at the Autumnal Equinox. The same is true for a 4-year, 8-year, 16-year square, etc.

如果要想计算这个大一点的正方形从那里开始从那里结束，我们就不得不使用“源头如何则支流如何”。换句话说，当我们确定一个小的正方形时，我们发现它存在大方形内部的25%和75%的时间和价格点上，因此3月21日到3月21日可以看成是上述2年时间周期大正方形的四分点。在一年的四方形里，时间的1/4是90度或者91.3125公历自然日，这个意思就是说这个1/4长度的时间在哪个大一点的方形里应该是180度或者182.625太阳天数，应该是2倍于它内部方形的大小。假如我们从小的这个方形上的时间点上加上和减去180度或等同的天数，我们就可以找到两年周期正方形的开始和终结点是在秋分，用同样方法，我们可以找到4年，8年，16年的方形。

Getting back to the inner squares, a 90-degree square (1/2 of our 180-degree Summer Solstice to Winter Solstice and winter back to summer circle) would begin and end 45-degrees after the Sumer Solstice and 45-degrees before the Winter Solstice because 45 is ? of 180. This would be 45.65 days or ? of 182.625. So this means we would have another (90-degree) square running inside the (180-degree) Solstice squares beginning on August 5^thand ending November 5^th. Then just as we have two 180-degree Solstice squares running from Summer to Winter, then Winter back to Summer, we also have four 90-degree squares running from August 5^thto November 5^th, November 5^thto February 5^th, February 5^thto May 5^thand May 5^thback to August 5^th.

让我们回到内部的小正方形，一个90度的正方形（是夏至到冬至冬夏循环180度的一半）将在夏至后开始和终结45度并在冬至前开始和终结另一个45度，因为45度是180的1/4。这也等于45.65天等同于182.625的1/4。所以这意味着我们可以在夏至到冬至间运行的方形（180度）内部运行另一个90度的方形，它开始于8月5日结束于11月5日。这样我们有两个180度的夏至到冬至点正方形从夏季运行到冬季，然后再从冬季返回到夏季，我们同样也得到4个90度的方形分别是从8月5日到11月5日，从11月5日运行到转年的2月5日，2月5日到5月5日，5月5日回到8月5日。

“ 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 and time cycle movements”.Please note that the inner square is an exact musical octave of the larger outer square.

“在一个圆里可以构筑一个正方形，然后可以获得一个内圆和一个内方，同理一个圆外边还可以获得一个外方和一个外圆，这就证明了第四个维度可以计算时间和价格的循环运动”请注意这个内正方形和它外面哪个大一点的方形之间存在一种精确的音乐上八度音阶的关系。

Wishing you a Success！