W.D. Gann and MATHEMATICAL FORMULA FOR MARKET PREDICTIONS


W.D. Gann MATHEMATICAL FORMULA FOR MARKET PREDICTIONS

THE MASTER MATHEMATICAL PRICE
TIME AND TREND CALCULATION

          This chart is made on transparent plastic so that you can place it over daily, weekly, or monthly high or low chart and see at a glance the position on the time and place based on the geometrical angles. It is designed to give QUICK ACCURATE EASY CALCULATIONS: SAVE TIME AND PREVENT ERRORS.

          The square of 12 is always important in working out time periods because there are 12 month in a year. The square of 144 is the GREAT SQUARE and works better than any others square both for TIME AND PRICE because it contains all of the squares from 1 to 144. This chart is divided up into sections of 9 both for time and price because 9 is the highest digit. Nine spaces on the daily chart equals 9 days, 9 weeks or 9 month in time periods and 9 equals 9c on grains, 9 points on stocks or 90 points on cotton on the daily high and low chart.

          One column in the square of 144 contains 144. This would equal $144 on grain, 144 points on stocks or using a scale of 10 points to 1/8 inch it will equal 1140 points on cotton.

          MASTER 144 SQUARE CONTAINS 324 square inched and each square inch contains 64 units which gives 20,736. This is 20,736 weeks or months and the proportionate parts of this are used for the measurement of time and price because this is the great cycle.

THE GREAT CYCLE OF THE SQUARE OF 144.
          The time period of this square is 20,736 days, weeks or months. One-half(1/2) is 10,368 days. One-fourth(1/4) is 5,184 days. One-eighth(1/8) is 2,592 days. One-sixteenth(1/16) is 1,296 days. One-thirty-second(1/32) is 648 days and the one-sixty-four(1/64) is 324 calendar or market days. 1/128 is 162 days and 1/256 is 81 days or the square of 9.

WEEKLY TIME PERIODS.
          THE GREAT CYCLE in weeks is 2962 and 2 days and 1/2 of this period is 1481 weeks and 1 day. One-fourth is 740 weeks. One-eighth 370 weeks and 2 days, One-sixteenth is 185 weeks, 1 day. One-thirty-second is 92 weeks, 4 days and 1/64 is 41 weeks, 2 days.

MONTHLY TIME PERIODS.
          THE GREAT CYCLE in month is 681 months and 23 days. One-half of this is 28 years, 9 months and 23 days. One-fourth is 14 years, 5 month and 8 days. One-eighth is 7 years, 2 1/2 months. One-sixteenth is 43 months and days. The weekly and monthly time periods from major high and low and be checked determine the future trend.

THE MASTER NUMBERS:
          The Master Numbers are 3, 5, 7, 9 and 12. The No. 9 and its multiple is the most important because 9 digits added together equal 45. The next number of greatest importance is 7, the number mentioned more times in the Bible than any other number. There are 7 days in the week and 7 calendar days as well as 5 market days, and their multiples should be carried on your Daily, Weekly and Monthly Charts. The square of 7 is 49, which is a very important time period. The 2nd square of 7 is 98 and the third square of 7 is 147 and the fourth square of 7 is 196 and 196 is also the square of 14. The next number in importance is No. 5 which is the balancing number between 1 and 9. The square of 5 is 25 and the second square of 5 is 50 which is just I over the square of 7 making 49 to 50 very important for a change in trend. There squares of 5 is 75 and 5 squares of 5 is 100 and 100 is the square of 10, which is also important for changes.

          The No. 3 is mentioned in the Bible next to the No. 7 and 3 is important because 3 x 3 equals 9, the square of 3, and it is the first old number that forms a square greatest that itself. Three must be used in every way possible, 3 x 7 equals 21, 3 x 5 equals 15, 3 x 9 equals 27 and 3 x 12 equals 36, very important because it is the square of 6. The No. 12 is also spoken of in the Bible many times and is of great importance. Jesus selected 12 disciples. There are 12 month in the year, and 12 signs of the Zodiac. The important 12's in the square of 144 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132 and 144. These are all important for both time and price in days, weeks and months.

          Referring to the No. 9, 7 x 9 is 63 and is of great importance because the square of 8 is 64, therefore, around 63 to 64 is very important to watch the change in trend.  7 x 12 is 84 and this is of very great importance and the number next to this is 90, which is 10 x 9 and 90 is 1/4 of the circle, which is very important for time and price changes. Next in importance is 9 x 12 which is 108 of 3/4 of 144.

          The importance of the circle of 360 deg. must not be overlooked in connection with the square of 144 because the proportionate parts of the circle agree with the parts of 144. 2 1/2 times 144 equals 360 and 1 1/4 times 144 equals 180, 1/2 of the circle, and 90 is 5/8 of 144. 9 is 1/16 of 144, 18 is 1/8, 27 is 3/8, 36 is 1/4, 45 is 5/16 and always very important for time and price changes and for resistance levels. 48 is 1/3 of 144 and 54 is 3/8 and 63 is 7/16, 72 is 1/2 of 144, 81 the square of 9, is 9/16 of 144 and 90 is 5/8, 99 is 11/16, 108 is 3/4, 117 is 13/16, and 126 is 7/8 and 135 is 15/16 of 144. These are the most important in the square of 12 and should be watched closely when time periods in days, week or months reach these points on the Master Calculator. Remember that you should always watch the Daily Chart for the first indication of the change in trend and at the same time look at the position on the Weekly Chart on 7 days time periods which is next in importance. The Monthly Chart is of the greatest importance for changes in the main trend.

THE IMPORTANCE OF 3 AND 5.
          The movement in PRICE and TIME whether on a Daily, Weekly or Monthly chart has three important points, the PRICE, the TIME AND VOLUME of sales, the PITCH or TREND which is the geometrical angle which show whether time is influencing and driving prices up or down on slow angle or an acute fast moving angle. There are also four factors that influence prices, PRICE, TIME AND VOLUME AND VELOCITY. Time is the most important factor because when time is up volume increases and the velocity of speed of the market increases and the PITCH or TREND on the angles moves up faster or down faster.

          There are three other important points to consider on a Daily, Weekly or Monthly High and Low Chart. There are LOW PRICE, the HIGHEST PRICE and the RANGE 1/2 between the high and low.

FIVE FACTORS FOR TIME AND PRICE
          There are high, low, halfway point, opening and closing prices. The trend is indicated by closing price, especially when the market very active. If the prices closes above the half way point or near the high, the trend is up. If it closes below the half way point or near the low, the selling is greater than the buying and the trend is down, at list temporarily. In connection with the Master Time and Trend Calculator apply all of the rules with the Master Time Factor and geometric angles.

STRONGEST POINT FOR TIME AND PRICE RESISTANCE.
          In using the Master Square of 144, the strongest points are 1/4, 1/3, 2/3, 3/8, 1/2, 5/8, 3/4, 7/8 and the complete square of 144.

          The points where the most angle cross are the strongest for resistance in PRICE and TIME.

TRIAGLE POINTS.
          The triagle points or where the green angles cross the most important: These are 72, 144, 36, 48, 96, 108 and of couse 72, and at the end of the square 144 at the tom and the bottom.

SQUARES IN THE SQUARE OF 144.
          These squares where the angles cross are of great importance for time and price resistance. These are 36, 45, 54, 63, 72, 90, 108, and the top and the bottom. When the price is at a point equal 36 and the time period in days, weeks or month is at 36, TIME and PRICE SQUARE and it is important to watch for change in trend. With the square of 144 you can get any square from 1 to 144. Suppose you want to get the square of 72: you move across to 72 for time and if price is at 72 moving up on the chart, PRICE and TIME have balanced, or square out, and we at the 45 degree angle and at the half way point the Master Price, Time and Trend Calculator.

WHERE TO WATCH FOR CHANGE IN TREND
          Most changes in trend occur when the TIME PERIODS are at one-half of the square of 144 and at the end of square or at the 1/3, 2/3, 1/4, and 3/4 points in the square of 144; you must always watch the square in time of the HIGHEST PRICE and the MINOR HIGHS and LOWS, also the square of time of the LOWEST PRICE and the SECOND OR THIRD higher bottom, and also the time required to square the Range and where this square works out of Master Square of 144.

EXAMPLE: The lowest price that wheat ever sold was 28c per bushel, In March 1852, therefore every 28 month would square the lowest price. The highest price that wheat over sold was in May 11, 1917 when the May Option sold at 325, therefore it would require 325 month to square the highest price. The lowest price that the May option ever sold was 44c, therefore it would require 44 month in time to square the low price. The range between 44 and 325 is 281c which would require 281 months, 281 weeks or 281 days to square the range. You would look on the Master Chart and see that 2 squares of 144 equals 288, therefore, you would watch for change in trend between 281 and 288 or near the end of the second square of 144. 7 x 44, the extreme low, equals 308, therefore, 6 1/2 times 44 would equal 286, which is within two points of the end of the square of 144 or the end    of the second square making 286 an important time period to watch for a change in trend. In squaring the range 325, the highest price for May wheat would be 2 squares of 144 and 17 over, therefore, when the time reached 36 days, weeks or months in the Master Square of 144 you can see that resistance would be met because moving up the time period of 136 you can see that the 45 deg. angle moving down from 72, which is the INNER SQUARE and the line drawn across from 36 on the price scale crosses at 36. In this way you can see that the Master Chart would indicate a resistance in time and price corresponding with the square of the highest price, the lowest price, and the Range. All other time periods from a high price, low price, or the range of any commodity or of the stock should be worked out in this same way.

          You will succeed in using the Master Mathematical Price, Time and Trend Calculator by going over the charts and laying the calculator over them and working out past history. In this way you will learn just how it works and prove to yourself the great value of the Master Calculator.

HOURLY TIME PERIODS
          When Markets are very active and making a wide range in price, it is important to keep an hourly High and Low Chart will give the first change in trend.

          There are 24 hours in a day, therefore, 6 days are required to pass throught 144 and a total of 864 days to pass the square of 144.

          At the present time, all exchanges are open 5 days a week with the exception of holidays and most of them are open 5 hours each day, therefore, it will require 28 days and 4 hours to pass throughtt 144 and the rate of 5 hours per day and 5 days per week.

GREAT YEARLY TIME CYCLE:
          To pass throughtt the square of 144, which equals 20,736, it requires 56 years, 9 months and 23 days, which is very important time cycle. Next in importance is 1/2 of this time period which is 28 years, 5 months and 8 days and 1/4 which is 14 years, 2 months and 19 days. The 14 year cycle is always very important because it is 2 seven year periods. 14 years equal 168 months and 169 months is the square of 13 making it very important for a change in trend and this is also an important time resistance point.

          1/8 of the Great Cycle is 7 years, 1 month and 10 days and is quite important. 1/16 is 42 months and 20 days, 1/32 is 32 months and 30 days. This is an important time period because is is close to 22 1/2 months which is 1/16 of the circle of 360 degrees.

NINE SPACES AND NINE TIME PERIODS:
          The chart being divided up into 9 sections gives all the squares of 9 for price resistance of time resistance which, as referred to above is 9c on the Daily Chart for grains and the same for Weekly and Monthly Charts: that is, 1c to each 1/8 inch. For different commodities, different scales are used. (See Special Instructions for the different commodities.)

          The Chart being divided up into 9 sections gives a 16 the squares of 9 for rpice resistance or time resistance which, as referred to above, is 90 points of the Daily Chart, 135 on the Weekly Chart, and 270 on the Monthly and 2880 on the 20 points scale and 9 spaces equal 180 points.

          The angles in red are all drawn on the squares of 9. The Inner Square of 450 is drawn from 72 because 72 is 1/2 of 144. These angles come out at 72, 144 and 72.

          The straight lines are in green and are 1/3 of the square of 144 in price or time.

GREEN ANGLES:
          The green angles are the angles of 2 x 1 which up two spaces of 2 points in one period of the time. The other angle below the 450 angle is the angle of 1 x 2 which requires 2 time periods to move up 1 space or 1c per bushel on grains for each time period of 1 day, week or 1 month. These angles move down from the top at the rate of 2 points or 2 spaces per time periods or at the rate of 1/2 space, 1/2 point or 1/2c per time period. The distance that the green angles and the red angles are apart determines how far prices can advance or decline.

          When the market enters the INNER SQUARE it is important for a change in trend and time angles and Position in the square tell at the time it entered whether the price is going up or down. Also when price breaks below a 45° on the INNER SQUARE it show weakness in proportion to the time from high or low price.


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