harmonic patterns and fibonacci ratios - historical accuracy

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Average Percent Change X Number of Months Later Min1mo-Max3mo Bull Avg%∆1Mo Avg%∆2Mo Avg%∆3Mo Avg%∆6Mo Avg%∆12Mo Number of Matches AB=CD Ratios 0.382/2.240 2188 5.31 7.5 11.21 18.03 31.16 0.500/2.000 1533 6.19 8.54 13.16 18.88 28.45 0.618/1.618 2462 5.56 7.9 10.63 17.49 25.17 0.707/1.414 4016 5.43 8.28 10.98 18.67 27.39 0.786/1.270 7536 4.31 7.21 9.99 16.28 25.14 Gartley Ratios 0.618/0.382/1.618 132 4.51 7.67 4.73 10.17 21.29 0.618/0.447/1.414 25 7.26 5.69 12.86 21.79 37.15 0.618/0.447/1.618 148 5.91 9.56 8.8 14.44 24.39 0.618/0.500/1.270 66 4.83 7.09 6.8 17.26 23.77 0.618/0.500/1.414 213 3.6 3.35 4.59 7.72 19.36 0.618/0.500/1.618 219 3.35 4.13 6.68 9.87 18.58 0.618/0.618/1.270 429 3.15 5.82 7.96 12.02 18.88 0.618/0.618/1.414 279 2.22 4.29 6.87 13.76 17.96 0.618/0.618/1.618 179 2.84 3.62 1.53 4.98 13.85 0.618/0.707/1.270 607 3.65 4.32 5.42 12.02 17.28 0.618/0.707/1.414 286 2.71 4.47 5.08 11.08 16.28 0.618/0.707/1.618 86 1.81 1.76 1.21 4.36 16.63 0.618/0.786/1.270 612 1.44 3.36 4.57 8.63 15.53 0.618/0.786/1.414 314 2.42 3.19 2.11 8.64 14.8 0.618/0.786/1.618 11 5.77 15.4 20.32 18.69 45.11 0.618/0.886/1.270 1297 2.17 3.59 5.02 9.13 18.02 0.618/0.886/1.414 388 3.85 5.43 5.67 9.6 17.47 0.786XA 5291 2.86 4.36 5.29 10.1 17.82 AB=CD 5291 2.86 4.36 5.29 10.1 17.82 1.270 3011 2.52 4.1 5.47 10.19 17.61 1.414 1505 3.06 4.28 5.01 10.41 17.5 1.618 775 3.78 5.55 5.14 9.13 19.22 eToro.com - Forex Trading Made Easy! STOCKFINDER- Rule Based Charting! Harmonic Patterns and Their Ratios - Historical Accuracy Pattern took minimum of 1 month to form but did not exceed 3 months in duration www.harmonicpatterns.com

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This is an updated document which replaces all of the current documents pertaining to the historical accuracy of Gartley, Crab, Bat, Butterfly, and AB=CD patterns. Formerly, these were for sale in the Scribd store but now I have combined them all, made the results more intuitive, and am giving it away. For best results, you should download the file in order to view it properly. There are multiple sheets which might not render properly in IPaper. Also, when viewing this document in Excel, you must expand the groups (+sign). There are also some comments in certain cells. These will not show up in the IPaper viewer. For more detailed information about how i derived these results, please visit www.harmonicpatterns.com. This analysis took me several years in my spare time and was primarily done using SQL Server.

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Page 1: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

Average Percent Change X Number of Months LaterMin1mo-Max3mo Bull Avg%∆1Mo Avg%∆2Mo Avg%∆3Mo Avg%∆6Mo Avg%∆12Mo

Number of MatchesAB=CD Ratios0.382/2.240 2188 5.31 7.5 11.21 18.03 31.160.500/2.000 1533 6.19 8.54 13.16 18.88 28.450.618/1.618 2462 5.56 7.9 10.63 17.49 25.170.707/1.414 4016 5.43 8.28 10.98 18.67 27.390.786/1.270 7536 4.31 7.21 9.99 16.28 25.14Gartley Ratios0.618/0.382/1.618 132 4.51 7.67 4.73 10.17 21.290.618/0.447/1.414 25 7.26 5.69 12.86 21.79 37.150.618/0.447/1.618 148 5.91 9.56 8.8 14.44 24.390.618/0.500/1.270 66 4.83 7.09 6.8 17.26 23.770.618/0.500/1.414 213 3.6 3.35 4.59 7.72 19.360.618/0.500/1.618 219 3.35 4.13 6.68 9.87 18.580.618/0.618/1.270 429 3.15 5.82 7.96 12.02 18.880.618/0.618/1.414 279 2.22 4.29 6.87 13.76 17.960.618/0.618/1.618 179 2.84 3.62 1.53 4.98 13.850.618/0.707/1.270 607 3.65 4.32 5.42 12.02 17.280.618/0.707/1.414 286 2.71 4.47 5.08 11.08 16.280.618/0.707/1.618 86 1.81 1.76 1.21 4.36 16.630.618/0.786/1.270 612 1.44 3.36 4.57 8.63 15.530.618/0.786/1.414 314 2.42 3.19 2.11 8.64 14.80.618/0.786/1.618 11 5.77 15.4 20.32 18.69 45.110.618/0.886/1.270 1297 2.17 3.59 5.02 9.13 18.020.618/0.886/1.414 388 3.85 5.43 5.67 9.6 17.470.786XA 5291 2.86 4.36 5.29 10.1 17.82

eToro.com - Forex Trading Made Easy! STOCKFINDER- Rule Based Charting!

Harmonic Patterns and Their Ratios - Historical Accuracy

Pattern took minimum of 1 month to form but did not exceed 3 months in duration

www.harmonicpatterns.com

B4
Author: Pattern took a minimum of 1 month to form but did not exceed 3 months in duration
A5
Author: Please visit this site to learn how these values were calculated
Page 2: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

AB=CD 5291 2.86 4.36 5.29 10.1 17.821.270 3011 2.52 4.1 5.47 10.19 17.611.414 1505 3.06 4.28 5.01 10.41 17.51.618 775 3.78 5.55 5.14 9.13 19.22Crab Ratios0.500/0.447/3.618 9 0.16 0.81 -2.71 -4.45 6.890.500/0.500/3.618 13 5.88 11.99 16.68 10.48 16.260.500/0.618/3.618 46 1.91 2.91 4.54 15.22 14.230.500/0.707/3.618 80 2.36 2.35 3.81 9.76 25.40.500/0.786/3.618 87 4.3 5.12 5.83 12.25 19.980.500/0.886/3.140 113 5.3 5.99 9.2 12.88 14.830.500/0.886/3.618 115 1.53 2.37 4.84 9.47 15.290.618/0.382/3.618 18 -0.03 0.78 5.22 17.3 48.40.618/0.447/3.618 26 3.46 7.73 8.56 12.32 5.820.618/0.500/3.618 77 4.05 8.38 14.1 28.41 42.950.618/0.618/3.140 80 5.11 6.28 8.38 16.02 18.510.618/0.618/3.618 99 4.55 8.56 13.16 20.92 27.640.618/0.707/2.618 17 0.89 2.43 1.54 -1.74 5.580.618/0.707/3.140 158 4.43 5.34 6.14 12.74 15.380.618/0.707/3.618 69 1.63 2.62 4.81 6.9 7.660.618/0.786/2.618 129 3.69 5.75 8.69 11.79 19.760.618/0.786/3.140 155 4.59 6.95 6.16 13.51 15.40.618/0.886/2.240 47 4.21 4.96 4.39 11.3 12.410.618/0.886/2.618 471 3.48 4.86 6.86 10.78 18.210.618/0.886/3.140 111 5.65 7.37 8.39 15.18 25.510.886/0.382/2.618 36 0.94 -0.64 4.16 13.58 20.270.886/0.382/3.140 71 3.57 6.47 11.12 29.68 46.20.886/0.382/3.618 32 2.85 3.56 8.87 8.28 33.730.886/0.447/2.240 12 2.94 8.58 17.25 20.34 74.250.886/0.447/2.618 104 6.45 8.23 12.73 21.06 34.030.886/0.447/3.140 9 0.11 8.53 13.63 15.11 50.040.886/0.500/2.240 102 2.74 5.51 4.95 7.24 25.030.886/0.500/2.618 86 4.58 6.98 9.03 13.57 33.290.886/0.618/2.000 97 3.23 5.95 6.73 13.96 15.120.886/0.618/2.240 236 3.69 7.63 11.83 16.95 28.70.886/0.618/2.618 18 2.33 7.37 2.9 10.33 6.08

Page 3: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.886/0.707/2.000 270 2.39 4.93 8.35 15.03 23.590.886/0.707/2.240 75 1.47 5.39 12.33 16.91 29.420.886/0.786/1.618 35 1.82 11.6 15.73 15.62 25.310.886/0.786/2.000 347 1.53 4.83 6.53 12.9 19.120.886/0.786/2.240 9 2.42 4.17 7.16 1.14 16.960.886/0.886/1.618 322 2.84 5.47 8.68 16.24 18.050.886/0.886/2.000 360 1.32 2.64 6.92 14.75 18.211.618 XA Ratio 4200 3.13 5.33 7.94 14.07 21.511.618 BC Ratio 357 2.74 6.08 9.37 16.18 18.742.000 BC Ratio 1074 1.83 4.24 7.14 14.15 19.62.240 BC Ratio 481 3.15 6.54 9.77 14.03 27.472.618 BC Ratio 861 3.8 5.38 7.77 12.35 21.53.140 BC Ratio 701 4.73 6.36 7.85 15.45 21.053.618 BC Ratio 726 2.89 4.75 7.51 13.64 22.18

Bat Ratios0.382/0.382/2.618 41 6.86 12.46 7.47 16.28 31.780.382/0.447/2.618 54 12.26 16.74 20.11 23.15 41.710.382/0.500/2.618 143 7.98 10.39 12.14 17.78 35.640.382/0.618/2.618 254 5.86 7.44 6.91 14.46 22.830.382/0.707/2.240 9 3.86 3.72 18.54 22.7 7.340.382/0.707/2.618 317 6.85 10.56 9.93 13.45 20.680.382/0.786/2.240 105 5.49 5.2 7.3 10.52 23.370.382/0.786/2.618 319 5.55 8.3 10.28 12.22 25.350.382/0.886/2.000 68 2.79 3.82 3.79 11.02 12.330.382/0.886/2.240 481 4.93 6.66 7.84 15.89 24.520.382/0.886/2.618 446 6.54 6.99 9.21 14.99 24.630.500/0.382/2.240 10 -0.52 2.94 3.8 18.6 40.250.500/0.382/2.618 215 8.51 7.45 7.38 14.54 29.580.500/0.447/2.240 69 8.07 9.68 14.92 27.52 35.480.500/0.447/2.618 101 7.21 9.79 10.34 17.31 32.050.500/0.500/2.000 81 3.57 9.49 9.93 10.03 7.410.500/0.500/2.240 153 6.63 8.17 11.55 15.46 23.620.500/0.500/2.618 106 6 9.05 10.32 10.8 9.190.500/0.618/1.618 0 0 0 0 0 00.500/0.618/2.000 264 4.61 8.63 6.89 14.57 21.440.500/0.618/2.240 223 6.84 8.63 11.14 21.07 25.04

Page 4: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.500/0.618/2.618 95 5.9 18.16 16.26 19.72 27.710.500/0.707/1.618 102 3 4.36 5.07 8.06 16.180.500/0.707/2.000 360 4.69 5.86 7.48 11.43 18.050.500/0.707/2.240 151 5.11 8.62 9.88 15.61 23.340.500/0.707/2.618 10 10.85 6.09 6.74 12.32 16.910.500/0.786/1.618 264 3.37 4.79 6.68 16.18 26.860.500/0.786/2.000 336 4.03 6.56 8.01 13.69 19.890.500/0.786/2.240 98 2.52 3.67 7.44 12.43 17.350.500/0.786/2.618 0 0 0 0 0 00.500/0.886/1.618 636 3.74 5.83 7.37 13.27 21.390.500/0.886/2.000 571 3.84 5.45 6.83 12.88 19.160.500/0.886/2.240 27 12.51 12.47 9.98 18.86 20.760.500/0.886/2.618 0 0 0 0 0 00.886XA 6109 5.28 7.37 8.58 14.44 22.83AB=CD 408 6.5 7.86 9.45 17.12 28.631.618BC Ratio 1002 3.57 5.41 6.95 13.52 22.342.000BC Ratio 1680 4.13 6.39 7.24 12.8 18.612.240BC Ratio 1326 5.61 7.27 9.43 16.74 24.222.618BC Ratio 2101 6.8 9.15 9.91 14.75 25.55Butterfly Ratios0.786/0.382/1.618 0 0 0 0 0 00.786/0.382/2.000 0 0 0 0 0 00.786/0.382/2.240 364 10.82 15.62 14.28 21.18 37.030.786/0.447/1.618 0 0 0 0 0 00.786/0.447/2.000 0 0 0 0 0 00.786/0.447/2.240 274 9.1 6.61 7.77 4.28 9.770.786/0.500/1.618 0 0 0 0 0 00.786/0.500/2.000 129 4.55 4.54 46.85 26.33 17.790.786/0.500/2.240 353 -5.8 3.81 5.49 0.94 19.670.786/0.618/1.618 5 0 0 0 0 00.786/0.618/2.000 502 2.58 1.51 0.15 -0.02 0.130.786/0.618/2.240 220 6.89 13.65 18.25 22.07 59.810.786/0.707/1.618 157 0 0 0 0 00.786/0.707/2.000 447 5.33 8.82 8.84 6.24 10.650.786/0.707/2.240 50 0 0 0 0 00.786/0.786/1.618 385 4.8 8.19 11.72 18.82 39.61

Page 5: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.786/0.786/2.000 380 3.58 7.09 10.94 2.04 7.970.786/0.786/2.240 0 0 0 0 0 00.786/0.886/1.618 1079 3.63 6.94 7.33 11.11 15.060.786/0.886/2.000 223 4.66 7.02 9.53 7.11 10.030.786/0.886/2.240 0 0 0 0 0 01.27XA Ratio 4568 4.64 7.56 9.6 9.66 17.11AB=CD Ratio 1691 3.8 6.79 8.55 8.93 11.991.618BC Ratio 1626 4.02 7.33 8.38 12.64 19.572.000BC Ratio 1681 3.94 5.69 9.38 5.06 7.122.240BC Ratio 1261 6.02 9.75 11.03 11.91 25.12

Page 6: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

Average Percent Change X Number of Months LaterMin3mo-Max1yr Bull Avg%∆1Mo Avg%∆2Mo Avg%∆3Mo Avg%∆6Mo Avg%∆12Mo

Number of MatchesAB=CD Ratios0.382/2.240 246 8.72 11.1 13.06 15.99 21.470.500/2.000 956 8.26 11.95 16.44 20.88 30.980.618/1.618 1471 5.63 8.12 10.6 14.79 21.060.707/1.414 1265 4.99 7.76 10.29 17.45 24.90.786/1.270 2412 4.47 6.97 9.52 15.05 21.91Gartley Ratios0.618/0.382/1.618 136 7.18 10.64 11.48 17.26 36.350.618/0.447/1.414 19 9.82 4.26 9.87 22.43 39.330.618/0.447/1.618 174 8.43 10.93 13.7 21.17 33.390.618/0.500/1.270 51 8.47 10.13 17.55 28.23 37.070.618/0.500/1.414 187 6.83 8.03 10.78 17.35 36.250.618/0.500/1.618 248 6.09 8.07 11.2 16.88 23.660.618/0.618/1.270 342 4.59 6.22 8.36 18.82 24.630.618/0.618/1.414 241 3.73 5.92 8.91 16.49 24.610.618/0.618/1.618 173 3.91 5.87 6.76 7.91 14.020.618/0.707/1.270 392 3.87 4.57 7.89 16.38 25.810.618/0.707/1.414 192 2.97 5.63 7.6 13.56 15.120.618/0.707/1.618 64 6.56 4.92 5.04 11.31 19.420.618/0.786/1.270 421 2.9 4.52 5.12 12.45 20.160.618/0.786/1.414 263 3.22 5.25 8.25 13.69 16.210.618/0.786/1.618 9 1.74 9.87 13.6 4.01 10.120.618/0.886/1.270 852 3.05 4.67 5.93 11.19 19.250.618/0.886/1.414 287 5.29 8.09 8.96 13.41 18.70.786XA 4051 4.37 6.13 8.14 14.59 22.72AB=CD 4051 4.37 6.13 8.14 14.59 22.721.270 2058 3.57 5.02 6.84 14.14 22.04

FXGroundWorks - Harmonic Recognition STOCKFINDER- Rule Based Charting!

Harmonic Patterns and Their Ratios - Historical Accuracy

Pattern took minimum of 3 months to form but did not exceed 1 year in duration

www.harmonicpatterns.com

B4
Author: Pattern took a minimum of 3 months to form but did not exceed 1 year in duration
A5
Author: Please visit this site to learn how these values were calculated
Page 7: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

1.414 1189 4.45 6.55 8.88 14.89 21.981.618 804 6.3 8.4 10.34 15.3 25.51Crab Ratios0.500/0.447/3.618 2 4.28 10.75 7.74 7.67 8.410.500/0.500/3.618 5 14.73 24.86 22.08 28.25 37.540.500/0.618/3.618 13 4.4 4.25 7.69 8.93 29.30.500/0.707/3.618 11 5.94 10.76 12.06 13.08 16.310.500/0.786/3.618 32 4.26 6.26 8.68 11.93 18.530.500/0.886/3.140 33 4.76 5.81 7.66 12.23 13.920.500/0.886/3.618 34 3.89 4.66 7.59 13.06 17.120.618/0.382/3.618 6 1.71 1.8 12.89 17.12 29.250.618/0.447/3.618 12 -1.12 7.83 0.26 5.72 16.240.618/0.500/3.618 23 8.92 10.64 12.14 19.78 47.130.618/0.618/3.140 27 6.36 7.52 10.68 7.1 28.330.618/0.618/3.618 47 7.26 10.21 16.95 24.08 23.980.618/0.707/2.618 3 11.41 17.44 19.94 15.08 44.530.618/0.707/3.140 41 4.77 6.08 10.17 14.33 15.510.618/0.707/3.618 14 5.47 8.49 11.63 11.31 7.570.618/0.786/2.618 34 6.98 8.1 10.65 12.27 22.960.618/0.786/3.140 52 4.92 7.33 8.41 13.32 18.730.618/0.886/2.240 17 2.72 4.76 5.1 15.23 4.850.618/0.886/2.618 139 4.53 6.64 6.6 11.54 18.440.618/0.886/3.140 36 5.17 6.34 10.19 17.05 24.030.886/0.382/2.618 25 10.42 8.15 9.44 8.48 3.360.886/0.382/3.140 41 5.2 6.3 9.3 25.77 44.790.886/0.382/3.618 15 3.54 7 4.4 3.12 4.330.886/0.447/2.240 4 13.36 25.3 22.6 8.37 11.780.886/0.447/2.618 50 3.66 3.9 5.46 5.08 9.330.886/0.447/3.140 3 8.09 17.03 28.72 24.78 29.760.886/0.500/2.240 41 -1.71 0.57 5.13 6.92 27.810.886/0.500/2.618 45 4.11 10.57 11.82 17.77 23.70.886/0.618/2.000 25 1.62 5.87 14.78 14.36 17.440.886/0.618/2.240 96 2.83 6.77 6.82 10.17 17.550.886/0.618/2.618 6 5.33 13.32 7.65 19.79 27.640.886/0.707/2.000 101 3.44 8.47 7.29 14.44 23.540.886/0.707/2.240 21 1.93 11.28 21.45 4.21 10.12

Page 8: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.886/0.786/1.618 14 6.07 9.12 12.96 12.85 20.320.886/0.786/2.000 98 8.43 9.62 12.24 18.54 21.960.886/0.786/2.240 4 20.3 18.98 17.42 -1.45 -13.590.886/0.886/1.618 104 3.91 5.61 9.04 10.61 18.80.886/0.886/2.000 119 4.18 5.28 5.21 12.84 19.941.618 XA Ratio 1414 4.69 7.12 9.01 13.18 19.931.618 BC Ratio 118 4.17 6 9.5 10.85 18.982.000 BC Ratio 343 4.99 7.48 8.57 15.08 21.372.240 BC Ratio 183 2.31 6.38 8.54 8.89 14.252.618 BC Ratio 302 5.17 7.31 8.03 11.48 17.73.140 BC Ratio 234 5.16 6.72 9.64 15.7 24.463.618 BC Ratio 234 5.3 7.94 10.41 14.59 21

Bat Ratios0.382/0.382/2.618 no data0.382/0.447/2.618 no data0.382/0.500/2.618 no data0.382/0.618/2.618 no data0.382/0.707/2.240 no data0.382/0.707/2.618 no data0.382/0.786/2.240 no data0.382/0.786/2.618 no data0.382/0.886/2.000 no data0.382/0.886/2.240 no data0.382/0.886/2.618 no data0.500/0.382/2.240 no data0.500/0.382/2.618 no data0.500/0.447/2.240 no data0.500/0.447/2.618 no data0.500/0.500/2.000 no data0.500/0.500/2.240 no data0.500/0.500/2.618 no data0.500/0.618/1.618 no data0.500/0.618/2.000 no data0.500/0.618/2.240 no data0.500/0.618/2.618 no data0.500/0.707/1.618 no data

Page 9: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.500/0.707/2.000 no data0.500/0.707/2.240 no data0.500/0.707/2.618 no data0.500/0.786/1.618 no data0.500/0.786/2.000 no data0.500/0.786/2.240 no data0.500/0.786/2.618 no data0.500/0.886/1.618 no data0.500/0.886/2.000 no data0.500/0.886/2.240 no data0.500/0.886/2.618 no data0.886XA no dataAB=CD no data1.618BC Ratio no data2.000BC Ratio no data2.240BC Ratio no data2.618BC Ratio no dataButterfly Ratios0.786/0.382/1.618 0 0 0 0 0 00.786/0.382/2.000 0 0 0 0 0 00.786/0.382/2.240 149 6.85 8.71 10.92 14.36 24.70.786/0.447/1.618 0 0 0 0 0 00.786/0.447/2.000 0 0 0 0 0 00.786/0.447/2.240 104 5.61 7.24 11.22 15.56 11.410.786/0.500/1.618 0 0 0 0 0 00.786/0.500/2.000 55 7.93 8.74 19.14 13.99 18.220.786/0.500/2.240 131 4.16 6.05 8.73 10.29 18.790.786/0.618/1.618 0 0 0 0 0 00.786/0.618/2.000 137 3.61 6.75 9.44 14.14 23.330.786/0.618/2.240 92 4.25 6.81 8.23 13.27 27.720.786/0.707/1.618 41 4.42 8.91 13.35 26.31 32.20.786/0.707/2.000 149 4.47 6.82 7.44 12.78 19.60.786/0.707/2.240 18 5.26 7.43 15.38 31.25 43.660.786/0.786/1.618 100 1.49 4.99 10.04 17.13 22.620.786/0.786/2.000 118 4.98 5.38 9.51 15.05 25.870.786/0.786/2.240 0 0 0 0 0 0

Page 10: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.786/0.886/1.618 312 3.68 4.64 5.42 9.6 16.790.786/0.886/2.000 59 7.23 9.58 13.26 8.64 26.620.786/0.886/2.240 0 0 0 0 0 01.27XA Ratio 1467 4.63 6.55 9.31 13.37 21.43AB=CD Ratio 605 5.61 7.74 11.43 14.71 21.551.618BC Ratio 454 3.26 5.07 7.14 12.82 19.462.000BC Ratio 519 5.15 7.15 10.49 13.35 22.882.240BC Ratio 494 5.33 7.28 10.05 13.87 21.69

Page 11: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

Average Percent Change X Number of Months LaterMin1yr-Max4yr Bull Avg%∆1Mo Avg%∆2Mo Avg%∆3Mo Avg%∆6Mo Avg%∆12Mo

Number of MatchesAB=CD Ratios0.382/2.240 3 26.99 13.42 23.41 57.57 62.660.500/2.000 478 8.26 11.95 16.44 20.88 30.980.618/1.618 91 6.17 9.22 11.79 18.16 20.670.707/1.414 104 4.21 6.05 9.03 13.7 20.70.786/1.270 194 3.42 6.6 8.72 10.56 15.07Gartley Ratios0.618/0.382/1.618 23 7.69 10.33 14.38 16.3 24.980.618/0.447/1.414 0 0 0 0 0 00.618/0.447/1.618 23 7.82 11.17 13.78 16.44 22.560.618/0.500/1.270 6 4.25 6.1 7.21 26.64 44.940.618/0.500/1.414 28 3.84 4.49 14.52 16.85 26.620.618/0.500/1.618 52 5.72 10.59 13.36 22.93 27.780.618/0.618/1.270 35 7.9 12.57 12.37 15.98 21.790.618/0.618/1.414 28 5.86 6.07 12 21.75 30.190.618/0.618/1.618 34 6.08 9.63 12.07 15.81 25.840.618/0.707/1.270 36 1.9 5.09 5.84 9.8 7.840.618/0.707/1.414 33 3.86 8.87 12.56 16.8 21.110.618/0.707/1.618 12 3.3 3.48 10.54 19.17 31.480.618/0.786/1.270 61 4.99 6.25 8.92 11.6 17.670.618/0.786/1.414 34 3.71 8.61 10.92 19.09 16.770.618/0.786/1.618 0 0 0 0 0 00.618/0.886/1.270 132 4.61 7.77 11.16 13.37 16.340.618/0.886/1.414 22 9.36 11.61 12.24 13.98 22.060.786XA 560 5.21 8.27 11.4 15.91 20.92

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Harmonic Patterns and Their Ratios - Historical Accuracy

Pattern took minimum of 1 year to form but did not exceed 4 years in duration

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B4
Author: Pattern took a minimum of 1 year to form but did not exceed 4 years in duration
A5
Author: Please visit this site to learn how these values were calculated
Page 12: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

AB=CD 560 5.21 8.27 11.4 15.91 20.921.270 270 4.75 7.66 10.01 13.14 16.941.414 146 5.03 7.83 12.35 17.95 23.221.618 144 6.25 9.86 13.03 18.9 26.13Crab Ratios0.500/0.447/3.618 0 0 0 0 0 00.500/0.500/3.618 0 0 0 0 0 00.500/0.618/3.618 0 0 0 0 0 00.500/0.707/3.618 0 0 0 0 0 00.500/0.786/3.618 0 0 0 0 0 00.500/0.886/3.140 0 0 0 0 0 00.500/0.886/3.618 0 0 0 0 0 00.618/0.382/3.618 0 0 0 0 0 00.618/0.447/3.618 0 0 0 0 0 00.618/0.500/3.618 0 0 0 0 0 00.618/0.618/3.140 0 0 0 0 0 00.618/0.618/3.618 0 0 0 0 0 00.618/0.707/2.618 0 0 0 0 0 00.618/0.707/3.140 0 0 0 0 0 00.618/0.707/3.618 0 0 0 0 0 00.618/0.786/2.618 0 0 0 0 0 00.618/0.786/3.140 0 0 0 0 0 00.618/0.886/2.240 0 0 0 0 0 00.618/0.886/2.618 5 -0.06 0.58 3.61 6.59 8.550.618/0.886/3.140 0 0 0 0 0 00.886/0.382/2.618 0 0 0 0 0 00.886/0.382/3.140 0 0 0 0 0 00.886/0.382/3.618 0 0 0 0 0 00.886/0.447/2.240 0 0 0 0 0 00.886/0.447/2.618 4 0.55 2.3 2.9 4.24 0.080.886/0.447/3.140 0 0 0 0 0 00.886/0.500/2.240 0 0 0 0 0 00.886/0.500/2.618 0 0 0 0 0 00.886/0.618/2.000 0 0 0 0 0 00.886/0.618/2.240 6 -2.29 9.59 0.79 -2.67 -23.730.886/0.618/2.618 0 0 0 0 0 0

Page 13: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.886/0.707/2.000 10 5.21 9.02 9.16 12.62 12.490.886/0.707/2.240 0 0 0 0 0 00.886/0.786/1.618 0 0 0 0 0 00.886/0.786/2.000 0 0 0 0 0 00.886/0.786/2.240 0 0 0 0 0 00.886/0.886/1.618 16 1.37 8.06 14.82 15.82 14.880.886/0.886/2.000 6 1.59 1.04 4.15 2.6 12.881.618 XA Ratio 77 7.21 11.03 9.38 12.82 14.681.618 BC Ratio 16 1.37 8.06 14.82 15.82 14.882.000 BC Ratio 24 15.96 16.63 7.88 12.17 10.442.240 BC Ratio 11 2.59 11.01 7.25 3.8 -13.62.618 BC Ratio 15 3.93 6.65 8.08 12.7 34.433.140 BC Ratio 6 4.96 8.06 9.64 17.56 13.653.618 BC Ratio 5 6.65 6.36 7.38 18.75 41.59

Bat Ratios0.382/0.382/2.618 5 13.11 13.65 18.17 30.87 48.740.382/0.447/2.618 0 0 0 0 0 00.382/0.500/2.618 8 11.84 9.37 15.47 44.19 32.730.382/0.618/2.618 20 6.36 10.5 16.9 18.71 250.382/0.707/2.240 0 0 0 0 0 00.382/0.707/2.618 15 9.64 8.76 10.73 19.94 47.910.382/0.786/2.240 5 3.91 11.81 10.22 16.05 52.370.382/0.786/2.618 14 7.96 9 12.66 24.1 46.750.382/0.886/2.000 2 6.86 7.55 14.96 -3.56 -14.850.382/0.886/2.240 18 3.28 7.72 9.38 14.44 25.470.382/0.886/2.618 13 7.17 14.06 16.64 18.01 22.890.500/0.382/2.240 0 0 33.63 45.48 50.37 43.260.500/0.382/2.618 23 16.04 18.61 16.36 26.7 24.230.500/0.447/2.240 4 42.91 45.63 38.98 34.85 14.820.500/0.447/2.618 9 16.25 23.28 36.59 44.23 81.690.500/0.500/2.000 7 4.77 11.55 10.31 28.71 21.420.500/0.500/2.240 9 18.85 37.16 30.27 56.64 25.250.500/0.500/2.618 10 7.56 10.15 10.79 17.78 42.860.500/0.618/1.618 0 0 0 0 0 00.500/0.618/2.000 20 4.51 8.14 10.26 16.5 28.080.500/0.618/2.240 11 8.17 10.1 12.84 16.44 24.5

Page 14: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.500/0.618/2.618 5 -1.01 -1.85 -6.45 0.14 1.980.500/0.707/1.618 6 2.79 6.66 2.05 14.92 25.160.500/0.707/2.000 18 0.64 4.21 2.74 13.39 36.250.500/0.707/2.240 7 4.27 9.48 12.44 27.8 23.910.500/0.707/2.618 0 0 0 0 0 00.500/0.786/1.618 11 2.26 3.87 5.71 3.99 -9.630.500/0.786/2.000 13 5.03 6.78 2.62 10.13 13.40.500/0.786/2.240 4 9.64 23.61 28.78 37.5 64.680.500/0.786/2.618 0 0 0 0 0 00.500/0.886/1.618 22 4.37 6.84 8.22 13.67 15.760.500/0.886/2.000 19 6.38 9.41 13.25 10.6 10.940.500/0.886/2.240 2 12.48 23.13 29.99 38.78 59.520.500/0.886/2.618 0 0 0 0 0 00.886XA 301 7.66 11.37 12.97 20.23 27.51AB=CD 29 19 23.85 25.76 32.27 26.731.618BC Ratio 39 3.53 6.09 6.59 11.13 9.052.000BC Ratio 79 4.24 7.62 8.16 13.71 22.282.240BC Ratio 60 10.05 17.49 18.33 27.32 30.072.618BC Ratio 123 9.99 12.3 15.32 23.81 35.18Butterfly Ratios0.786/0.382/1.618 0 0 0 0 0 00.786/0.382/2.000 0 0 0 0 0 00.786/0.382/2.240 11 10.82 15.62 14.28 21.18 37.030.786/0.447/1.618 0 0 0 0 0 00.786/0.447/2.000 0 0 0 0 0 00.786/0.447/2.240 11 9.1 6.61 7.77 4.28 9.770.786/0.500/1.618 0 0 0 0 0 00.786/0.500/2.000 3 4.55 4.54 46.85 26.33 17.790.786/0.500/2.240 8 -5.8 3.81 5.49 0.94 19.670.786/0.618/1.618 0 0 0 0 0 00.786/0.618/2.000 13 2.58 1.51 0.15 -0.02 0.130.786/0.618/2.240 9 6.89 13.65 18.25 22.07 59.810.786/0.707/1.618 0 0 0 0 0 00.786/0.707/2.000 10 5.33 8.82 8.84 6.24 10.650.786/0.707/2.240 0 0 0 0 0 00.786/0.786/1.618 9 4.8 8.19 11.72 18.82 39.61

Page 15: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.786/0.786/2.000 9 3.58 7.09 10.94 2.04 7.970.786/0.786/2.240 0 0 0 0 0 00.786/0.886/1.618 28 3.63 6.94 7.33 11.11 15.060.786/0.886/2.000 7 4.66 7.02 9.53 7.11 10.030.786/0.886/2.240 0 0 0 0 0 01.27XA Ratio 120 4.64 7.56 9.6 9.66 17.11AB=CD Ratio 43 3.8 6.79 8.55 8.93 11.991.618BC Ratio 39 4.02 7.33 8.38 12.64 19.572.000BC Ratio 42 3.94 5.69 9.38 5.06 7.122.240BC Ratio 39 6.02 9.75 11.03 11.91 25.12

Page 16: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

Average Percent Change X Number of Months LaterMin1mo-Max3mo Bear Avg%∆1Mo Avg%∆2Mo Avg%∆3Mo Avg%∆6Mo Avg%∆12Mo

Number of MatchesAB=CD Ratios0.382/2.240 4780 -2.07 0.57 3.45 9.67 18.710.500/2.000 3035 -1.93 0.02 1.79 7.7 15.610.618/1.618 4187 -2.31 -0.84 0.85 5.79 14.290.707/1.414 5282 -1.97 -0.43 1.36 6.2 13.970.786/1.270 8474 -1.85 -0.07 2.12 7.02 16.1Gartley Ratios0.618/0.382/1.618 106 -7.35 -7.91 -9.12 -5.36 4.090.618/0.447/1.414 23 -6.42 -6.9 -10.82 -13.66 -7.640.618/0.447/1.618 92 -3.11 -3.55 -4.49 -0.86 12.040.618/0.500/1.270 50 -0.37 0.62 2.48 -1.11 2.730.618/0.500/1.414 141 -3.83 -3.17 -4.36 -2.56 3.660.618/0.500/1.618 147 -1.97 -2.31 0.48 2.69 12.50.618/0.618/1.270 485 -0.83 0.16 1.61 5.41 13.550.618/0.618/1.414 245 -1.9 -1.77 -0.84 1.07 7.180.618/0.618/1.618 191 -0.42 1.86 1.51 5.16 14.340.618/0.707/1.270 636 -0.59 -0.31 0.07 3.07 6.10.618/0.707/1.414 287 -1.26 -0.17 -0.09 2.18 7.920.618/0.707/1.618 96 -0.41 0.51 5.44 3.43 11.990.618/0.786/1.270 744 0.23 0.61 3.11 5.91 14.460.618/0.786/1.414 359 -0.09 0.39 1.6 5.55 12.620.618/0.786/1.618 11 -1.38 0.34 4.09 4.86 -3.20.618/0.886/1.270 1564 0.3 1.43 2.84 7.11 13.050.618/0.886/1.414 449 -0.56 0.21 1.05 5.29 13.150.786XA 5626 -0.61 0.12 1.3 4.58 11.39AB=CD 5626 -0.61 0.12 1.3 4.58 11.391.270 3479 -0.04 0.75 2.21 5.76 12.03

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Harmonic Patterns and Their Ratios - Historical Accuracy

Pattern took minimum of 1 month to form but did not exceed 3 months in duration

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B4
Author: Pattern took a minimum of 1 month to form but did not exceed 3 months in duration
A5
Author: Please visit this site to learn how these values were calculated
Page 17: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

1.414 1504 -1.2 -0.57 -0.02 3.03 9.921.618 643 -2.32 -1.65 -0.59 1.73 11.42Crab Ratios0.500/0.447/3.618 18 -6.2 -5.83 -7.87 9.21 23.290.500/0.500/3.618 74 -2.24 -4.31 -0.54 -2.41 6.350.500/0.618/3.618 161 -4.2 -3.16 -1.47 -0.61 7.260.500/0.707/3.618 224 -2.61 -3.02 -1.85 2.19 6.960.500/0.786/3.618 288 -3.26 -2.45 -0.66 2.84 15.460.500/0.886/3.140 305 -2.01 -2.25 -0.24 5 15.780.500/0.886/3.618 278 -2.01 -1.34 -1.12 3.12 9.720.618/0.382/3.618 40 -4.13 -1.22 1.02 0.54 13.410.618/0.447/3.618 47 -2.43 0.3 1.42 11.8 24.320.618/0.500/3.618 119 -3.79 -4.02 -0.9 0.94 4.50.618/0.618/3.140 118 -2.16 -0.45 0.02 3.61 3.440.618/0.618/3.618 209 -3.96 -3.15 -2.41 3.84 15.030.618/0.707/2.618 26 -3.14 2.45 -1.87 6.49 7.530.618/0.707/3.140 251 -4.14 -2.73 -3.08 1.08 7.440.618/0.707/3.618 136 -3.57 -2.09 0.92 -0.46 9.270.618/0.786/2.618 214 -0.78 -0.42 1.43 2.59 11.460.618/0.786/3.140 344 -2.93 -2.78 -1.65 4.95 14.330.618/0.886/2.240 78 -4.52 -3.75 -2.86 2.34 10.780.618/0.886/2.618 751 -2.04 -1.46 0.49 4.26 9.980.618/0.886/3.140 243 -1.58 -0.78 1.66 3.42 15.030.886/0.382/2.618 39 0.95 3.64 5.92 6.4 5.720.886/0.382/3.140 61 -1 -0.27 0.8 0.06 7.80.886/0.382/3.618 29 -1.95 0.62 3.51 0.59 3.940.886/0.447/2.240 15 -0.62 -4.43 -2.3 0.74 9.090.886/0.447/2.618 120 -2.61 -0.66 1.9 4.34 21.340.886/0.447/3.140 17 -7.04 -9.85 -11.21 -8.37 11.730.886/0.500/2.240 142 -1.21 0.58 1.54 4.95 12.480.886/0.500/2.618 123 -0.56 -0.29 2.25 1.98 2.330.886/0.618/2.000 131 0.36 2.42 0.65 8.75 13.450.886/0.618/2.240 332 -0.78 0.76 0.48 4.31 11.570.886/0.618/2.618 46 -1.53 -2.41 -0.01 2.6 7.640.886/0.707/2.000 365 0.05 -0.02 1.47 3.5 10.470.886/0.707/2.240 147 -0.21 -0.37 3.64 9.7 19.52

Page 18: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.886/0.786/1.618 48 1.15 2.08 1.99 13.93 14.740.886/0.786/2.000 529 0.14 0.33 1.74 5.98 13.440.886/0.786/2.240 22 -3.22 -3.18 -1.93 0.09 5.870.886/0.886/1.618 559 0.27 0.93 2.91 6.38 11.490.886/0.886/2.000 592 -0.55 0.24 2.55 7.33 13.441.618 XA Ratio 7541 -1.64 -1.02 0.53 4.36 11.741.618 BC Ratio 607 0.34 1.02 2.83 6.96 11.772.000 BC Ratio 1617 -0.11 0.4 1.88 6.14 12.752.240 BC Ratio 736 -1.22 -0.21 0.83 5.13 13.022.618 BC Ratio 1319 -1.66 -0.92 1.02 3.83 10.383.140 BC Ratio 1360 -2.6 -2.04 -0.85 3.47 12.213.618 BC Ratio 1902 -3.03 -2.5 -0.81 2.71 11.03

Bat Ratios0.382/0.382/2.618 75 -8.48 -5.08 -5.02 5.1 30.780.382/0.447/2.618 78 -6.7 -7.57 -8.8 -4.11 -7.780.382/0.500/2.618 177 -6.16 -4.88 -3.27 1.54 10.120.382/0.618/2.618 316 -5.97 -6.07 -3.4 2.74 11.720.382/0.707/2.240 16 -2.6 -1.62 2.31 3.92 30.670.382/0.707/2.618 389 -2.86 -3.27 0.7 6.67 14.840.382/0.786/2.240 138 -1.56 0.45 0.17 10.94 16.510.382/0.786/2.618 453 -3.56 -2.16 2.63 7.27 12.050.382/0.886/2.000 73 -2.14 -2.4 -0.43 5.74 7.970.382/0.886/2.240 609 -2.18 -0.26 1.96 7.46 15.50.382/0.886/2.618 641 -3.97 -2.88 0.69 4.93 13.810.500/0.382/2.240 7 -0.89 12.1 4.11 2.17 16.630.500/0.382/2.618 158 -7.58 -3.11 0.41 4.36 11.580.500/0.447/2.240 63 -1.48 1.44 1.04 7.68 14.190.500/0.447/2.618 90 -4.35 -3.35 -0.67 1.43 6.790.500/0.500/2.000 67 -5.08 -4.94 -4.03 0.53 9.090.500/0.500/2.240 156 -0.8 0.17 2.25 9.65 12.250.500/0.500/2.618 160 -3.8 -3.04 2.3 8.25 14.640.500/0.618/1.618 0 0 0 0 0 00.500/0.618/2.000 311 -0.03 2.39 5.45 12.38 25.490.500/0.618/2.240 245 -2.43 0.93 2.97 12.51 28.360.500/0.618/2.618 109 -2.63 -0.75 3.36 10.96 20.220.500/0.707/1.618 113 -1.35 -0.13 2.29 5.58 20.68

Page 19: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.500/0.707/2.000 443 -0.75 2.27 4.07 10.71 21.870.500/0.707/2.240 230 -1.25 1.91 5.47 11.42 20.250.500/0.707/2.618 8 -2.7 -5.92 -5.94 -14.83 1.110.500/0.786/1.618 340 -0.55 0.89 4.47 7.82 18.460.500/0.786/2.000 474 -0.57 1.22 2.44 9.4 21.690.500/0.786/2.240 143 -0.23 1.28 4.48 7.88 14.740.500/0.786/2.618 0 0 0 0 0 00.500/0.886/1.618 957 0.48 2.68 4.45 10.93 22.220.500/0.886/2.000 776 -0.08 1.89 5.39 10.07 19.630.500/0.886/2.240 47 1.67 5.98 10.63 9.4 16.690.500/0.886/2.618 0 0 0 0 0 00.886XA 7853 -1.99 -0.24 2.46 8.16 17.61AB=CD 317 -3.65 -2.06 -0.05 5.31 13.591.618BC Ratio 1411 0.08 2.04 4.33 9.87 21.32.000BC Ratio 2134 -0.55 1.53 3.98 9.96 20.742.240BC Ratio 1654 -1.6 0.73 2.91 9.3 17.952.618BC Ratio 2654 -4.49 -3.49 -0.06 5.05 12.85Butterfly Ratios0.786/0.382/1.618 0 0 0 0 0 00.786/0.382/2.000 0 0 0 0 0 00.786/0.382/2.240 325 -3.9 -0.1 3.76 12.78 22.510.786/0.447/1.618 0 0 0 0 0 00.786/0.447/2.000 0 0 0 0 0 00.786/0.447/2.240 259 0.36 2.87 4.92 10.69 15.850.786/0.500/1.618 0 0 0 0 0 00.786/0.500/2.000 162 -1.98 -2.83 -2 2.07 9.390.786/0.500/2.240 420 -0.89 0.8 2.74 12.68 21.210.786/0.618/1.618 6 -3.5 1.33 9.92 11.81 12.410.786/0.618/2.000 609 -0.63 1.7 5.73 13.22 22.630.786/0.618/2.240 302 -2.31 0.51 4.09 10.06 30.220.786/0.707/1.618 227 -0.12 3.06 4.81 12.46 14.670.786/0.707/2.000 647 0.35 1.59 4.67 14.46 25.150.786/0.707/2.240 67 -0.52 1.17 2.42 11.1 25.720.786/0.786/1.618 532 0.8 3.86 6.26 11.51 24.30.786/0.786/2.000 582 0.98 4.57 8.38 14.45 27.40.786/0.786/2.240 0 0 0 0 0 0

Page 20: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.786/0.886/1.618 1624 1.06 3.11 5.59 11.06 22.130.786/0.886/2.000 396 0.55 3.79 6.44 13.73 21.580.786/0.886/2.240 0 0 0 0 0 01.27XA Ratio 6159 0.02 2.41 5.22 12.11 22.67AB=CD Ratio 1841 -1.47 0.45 3.15 11.13 18.661.618BC Ratio 2389 0.88 3.27 5.68 11.29 21.892.000BC Ratio 2397 0.13 2.41 5.67 13.17 23.362.240BC Ratio 1373 -1.66 0.92 3.67 11.67 22.82

Page 21: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

Average Percent Change X Number of Months LaterMin3mo-Max1yr Bear Avg%∆1Mo Avg%∆2Mo Avg%∆3Mo Avg%∆6Mo Avg%∆12Mo

Number of MatchesAB=CD Ratios0.382/2.240 0 0 0 0 0 00.500/2.000 1820 -4.21 -4.22 -3.79 -0.73 7.060.618/1.618 3176 -3.26 -3.34 -2.63 0.78 8.110.707/1.414 2118 -2.93 -3.22 -2.7 -0.13 7.460.786/1.270 3222 -3.2 -3.2 -2.75 -0.29 7.35Gartley Ratios0.618/0.382/1.618 107 -5.71 -6.9 -7.7 -3.49 8.240.618/0.447/1.414 20 -4.05 -3.67 -3.85 0.91 3.550.618/0.447/1.618 109 -5.84 -6.48 -7.53 -5.39 2.670.618/0.500/1.270 50 -2.39 -5.42 -2.43 3.16 8.390.618/0.500/1.414 152 -4.63 -4.52 -6.14 -3.99 1.010.618/0.500/1.618 148 -4.23 -5.06 -5.12 -2.94 1.710.618/0.618/1.270 372 -2.06 -2.01 -0.48 2.87 9.430.618/0.618/1.414 240 -2.55 -2.19 -1.75 0.12 7.180.618/0.618/1.618 175 -1.49 -3 -4.26 -2.51 4.320.618/0.707/1.270 466 -0.46 0.77 0.95 4.12 8.310.618/0.707/1.414 213 -1.07 0.04 0.81 3.9 5.740.618/0.707/1.618 72 -2.88 -3.01 -1.54 0.47 13.360.618/0.786/1.270 512 -0.7 -0.21 -0.15 2.18 9.370.618/0.786/1.414 281 -0.68 -1.16 -0.41 2.53 15.030.618/0.786/1.618 6 -4.22 -7.52 -7.49 -3.85 -3.30.618/0.886/1.270 1086 -0.57 -0.34 1.03 4.07 12.440.618/0.886/1.414 351 -1.97 -2.6 -2.52 0.76 6.890.786XA 4360 -1.59 -1.52 -0.98 1.88 8.98

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Harmonic Patterns and Their Ratios - Historical Accuracy

Pattern took minimum of 3 months to form but did not exceed 1 year in duration

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B4
Author: Pattern took a minimum of 3 months to form but did not exceed 1 year in duration
A5
Author: Please visit this site to learn how these values were calculated
Page 22: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

AB=CD 4360 -1.59 -1.52 -0.98 1.88 8.981.270 2486 -0.83 -0.46 0.48 3.5 10.51.414 1257 -2 -2 -1.82 1 7.761.618 617 -3.84 -4.84 -5.33 -2.96 5.12Crab Ratios0.500/0.447/3.618 18 -6.9 -5.96 -4.16 4.49 9.060.500/0.500/3.618 59 -6.38 -5.79 -4.42 2.31 10.530.500/0.618/3.618 138 -1.65 -0.5 0.16 5.14 10.820.500/0.707/3.618 137 -3.49 -3.2 -2.75 3.91 13.180.500/0.786/3.618 118 -4.32 -2.77 -0.58 2.57 14.140.500/0.886/3.140 155 -2.23 -1.09 -0.15 3.85 7.510.500/0.886/3.618 130 -3.05 -1.47 -2.41 4.91 14.350.618/0.382/3.618 30 -3.42 -0.55 4.14 8.93 17.960.618/0.447/3.618 36 -3.63 -3.88 -0.5 3.95 12.170.618/0.500/3.618 95 -7.01 -6.21 -5.67 -1.96 3.80.618/0.618/3.140 80 -4.8 -3.52 -5.68 -0.98 1.930.618/0.618/3.618 185 -3.46 -3.94 -2.83 3.99 11.250.618/0.707/2.618 21 -4.9 -5 -8.78 -8.05 -7.450.618/0.707/3.140 191 -4.99 -3.09 -1.52 -1.38 7.060.618/0.707/3.618 86 -5.52 -4.98 -5.08 -4.59 -1.630.618/0.786/2.618 146 -4.17 -3.72 -2.09 -0.64 5.090.618/0.786/3.140 194 -4.21 -2.24 -2.59 1.96 17.070.618/0.886/2.240 57 -3.1 -2.33 -2.79 -2.16 3.390.618/0.886/2.618 493 -3.11 -2.21 -1.32 3.06 12.110.618/0.886/3.140 159 -3.4 -3.41 -0.37 3.18 15.370.886/0.382/2.618 45 -2.59 -3.49 -1.53 2.47 12.340.886/0.382/3.140 46 -1.39 -1.08 0.74 0.83 14.170.886/0.382/3.618 18 -5.06 -7.36 -3.03 -0.86 11.740.886/0.447/2.240 21 -2.11 -2.77 3.05 3.85 12.990.886/0.447/2.618 79 -2.63 -4.21 -3.91 -2.77 -1.340.886/0.447/3.140 18 -6.11 -6.9 -5.8 2.66 8.070.886/0.500/2.240 123 -1.42 0.68 4.16 11.54 7.660.886/0.500/2.618 93 -2.81 -4.93 -5.06 -1.17 2.030.886/0.618/2.000 88 -1.44 -1.87 -1.17 -0.12 8.870.886/0.618/2.240 262 -1.39 0.85 1.1 8.75 16.210.886/0.618/2.618 28 -0.96 0.4 6.07 9.56 17.57

Page 23: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.886/0.707/2.000 215 -1.65 -0.62 0.25 2.15 12.450.886/0.707/2.240 92 -3.05 -1.53 0.29 2.31 4.380.886/0.786/1.618 38 -0.68 -2.11 1.91 3.66 13.250.886/0.786/2.000 339 -0.42 0.65 0.91 4.86 14.480.886/0.786/2.240 11 2.75 0.85 7.46 1.67 12.420.886/0.886/1.618 332 0.05 0.76 1.37 3.73 15.450.886/0.886/2.000 349 -0.91 1.16 2.79 5.73 13.171.618 XA Ratio 4858 -2.66 -1.79 -0.79 3.08 11.131.618 BC Ratio 370 -0.02 0.46 1.43 3.72 15.212.000 BC Ratio 991 -0.95 0.32 1.24 4.13 13.042.240 BC Ratio 566 -1.78 -0.06 1.4 6.78 10.972.618 BC Ratio 905 -3.16 -2.96 -2.02 1.43 8.363.140 BC Ratio 855 -3.84 -2.64 -1.74 1.45 10.893.618 BC Ratio 1171 -4.12 -3.52 -2.57 2.7 10.63

Bat Ratios0.382/0.382/2.618 43 -9.72 -9.71 -11.99 -11.09 0.260.382/0.447/2.618 57 -9.2 -12.09 -11.24 -9.71 -8.490.382/0.500/2.618 100 -6.21 -5.7 -3.3 2.25 13.340.382/0.618/2.618 164 -7.39 -7.8 -6.43 -3.06 7.750.382/0.707/2.240 10 3.43 12.72 7.37 24.73 19.060.382/0.707/2.618 230 -4.63 -6.45 -6.76 -1.82 4.350.382/0.786/2.240 69 -4.27 -5.37 -4.11 3.75 7.190.382/0.786/2.618 241 -6.18 -7.4 -6.64 -3.13 2.150.382/0.886/2.000 38 0.19 -1.37 1.59 4.18 10.20.382/0.886/2.240 303 -3.55 -3.63 -2.28 3.54 6.680.382/0.886/2.618 321 -5.7 -5.82 -4.9 -0.82 7.120.500/0.382/2.240 5 -8.59 -8.1 -9.84 -13.75 -22.630.500/0.382/2.618 82 -7.45 -8.1 -8.74 -7.52 -0.680.500/0.447/2.240 36 -1.08 -4.68 -4.33 -4.06 1.580.500/0.447/2.618 75 -4.98 -2.82 -1.38 5.08 9.920.500/0.500/2.000 34 -2.97 -0.21 1.36 6.05 18.170.500/0.500/2.240 81 -2.89 -3.13 -1.5 7.86 5.510.500/0.500/2.618 76 -3.57 -7.33 -5.31 0.03 7.770.500/0.618/1.618 0 0 0 0 0 00.500/0.618/2.000 190 0.04 0.65 0.58 3.64 10.550.500/0.618/2.240 172 -2.41 -2.45 -1.9 9.65 20.84

Page 24: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.500/0.618/2.618 61 -6.08 -4.28 -6.31 -2.61 1.380.500/0.707/1.618 51 -1.73 -2.77 0.74 -5.53 7.330.500/0.707/2.000 187 -0.86 -0.76 -1.6 5.4 15.170.500/0.707/2.240 112 -2.27 -0.59 1.39 5.47 16.440.500/0.707/2.618 5 -8.15 -6.36 -11.12 -13.84 -0.490.500/0.786/1.618 149 -1.26 -2.52 -0.76 0.01 10.050.500/0.786/2.000 201 -3.14 -1.52 -1.4 3.88 19.320.500/0.786/2.240 70 -1.88 -2.42 -2.55 -2.87 1.120.500/0.786/2.618 0 0 0 0 0 00.500/0.886/1.618 406 -0.52 0.39 1.4 4.65 11.150.500/0.886/2.000 388 -1.62 -2.01 -1.67 0.41 9.470.500/0.886/2.240 17 -6.64 -6.45 -8.43 0.46 8.920.500/0.886/2.618 0 0 0 0 0 00.886XA 3935 -3.37 -3.49 -2.8 1.4 9.09AB=CD 191 -3.22 -3.41 -4.2 -0.35 5.551.618BC Ratio 607 -0.81 -0.57 0.83 2.71 10.642.000BC Ratio 1038 -1.45 -1.12 -0.98 2.88 12.912.240BC Ratio 875 -2.93 -2.92 -1.95 4.72 9.952.618BC Ratio 1455 -6.07 -6.74 -6.13 -2.18 5.05Butterfly Ratios0.786/0.382/1.618 0 0 0 0 0 00.786/0.382/2.000 0 0 0 0 0 00.786/0.382/2.240 203 -4.39 -4.82 -3.07 1.35 8.490.786/0.447/1.618 0 0 0 0 0 00.786/0.447/2.000 0 0 0 0 0 00.786/0.447/2.240 172 -1.99 -2.66 -3.14 2.35 8.330.786/0.500/1.618 0 0 0 0 0 00.786/0.500/2.000 68 -1.61 -3.1 -2.36 0.47 8.720.786/0.500/2.240 187 -2.08 -0.96 0.44 5.54 8.320.786/0.618/1.618 3 -13.82 -11.6 -14.28 -23.86 -22.50.786/0.618/2.000 282 -3.21 -2.44 -3.08 1.32 11.670.786/0.618/2.240 163 -2.7 -4.11 -1.95 1.64 8.220.786/0.707/1.618 87 -2.41 -2.91 -1.77 -0.83 4.250.786/0.707/2.000 260 -1.83 -1.4 -0.47 4.27 17.140.786/0.707/2.240 31 -2.77 -3.74 -7.58 -1.6 6.130.786/0.786/1.618 214 -1.87 -2.3 -0.61 4.43 15.86

Page 25: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.786/0.786/2.000 223 -2.49 -1.24 -0.65 1.67 8.570.786/0.786/2.240 0 0 0 0 0 00.786/0.886/1.618 584 -0.51 -0.07 1.74 4.92 14.690.786/0.886/2.000 136 -0.36 0.46 -0.24 0.34 8.90.786/0.886/2.240 0 0 0 0 0 01.27XA Ratio 2613 -1.99 -1.8 -0.86 2.9 11.51AB=CD Ratio 936 -3.13 -3.21 -2.73 1.43 9.331.618BC Ratio 888 -1.07 -0.93 0.78 4.16 13.92.000BC Ratio 969 -2.16 -1.51 -1.36 1.99 11.92.240BC Ratio 756 -2.84 -3.19 -2.15 2.55 8.25

Page 26: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

Average Percent Change X Number of Months LaterMin1yr-Max4yr Bear Avg%∆1Mo Avg%∆2Mo Avg%∆3Mo Avg%∆6Mo Avg%∆12Mo

Number of MatchesAB=CD Ratios0.382/2.240 399 -4.57 -5.3 -5.46 -3.65 60.500/2.000 550 -2.89 -3.26 -3.45 -2.9 3.030.618/1.618 344 -2.02 -3.3 -2.82 -3.34 3.540.707/1.414 283 -2.35 -3.26 -4.48 -6.01 2.70.786/1.270 356 -2.44 -3.43 -5.06 -5.25 -0.43Gartley Ratios0.618/0.382/1.618 12 -5.65 -7.29 -13.49 -14.41 -12.280.618/0.447/1.414 0 0 0 0 0 00.618/0.447/1.618 15 -7.95 -13.53 -16.57 -15.87 -13.430.618/0.500/1.270 0 0 0 0 0 00.618/0.500/1.414 18 -7.46 -13.11 -9.63 -4.91 -4.60.618/0.500/1.618 17 -2.46 -6.4 -8.29 -9.18 -8.960.618/0.618/1.270 46 -1.51 -4.02 -3.03 -2.01 0.960.618/0.618/1.414 25 0.66 0.52 -0.6 -4.98 -1.760.618/0.618/1.618 16 -6.5 -7.51 -9.49 -11.55 -9.30.618/0.707/1.270 50 -1.87 -5.94 -8.07 -11.85 -12.630.618/0.707/1.414 44 -4.23 -4.24 -5.82 -9.65 -6.170.618/0.707/1.618 6 -3.51 -5.81 -4.07 -10.42 -0.280.618/0.786/1.270 65 -1.15 -0.07 -0.04 2.65 11.910.618/0.786/1.414 42 -3.16 -4.33 -6.55 -5.86 0.490.618/0.786/1.618 0 0 0 0 0 00.618/0.886/1.270 117 -2.3 -3.51 -4.83 -6 -5.490.618/0.886/1.414 34 -3.69 -4.47 -9.5 -3.5 1.880.786XA 507 -2.81 -4.33 -5.67 -5.98 -2.61AB=CD 507 -2.81 -4.33 -5.67 -5.98 -2.611.270 278 -1.82 -3.26 -4.02 -4.44 -1.23

FXGroundWorks - Harmonic Recognition STOCKFINDER- Rule Based Charting!

Harmonic Patterns and Their Ratios - Historical Accuracy

Pattern took minimum of 1 year to form but did not exceed 4 years in duration

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B4
Author: Pattern took a minimum of 1 year to form but did not exceed 4 years in duration
A5
Author: Please visit this site to learn how these values were calculated
Page 27: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

1.414 163 -3.45 -4.49 -6.33 -6.09 -1.781.618 66 -5.36 -8.36 -11.06 -12.29 -9.77Crab Ratios0.500/0.447/3.618 0 0 0 0 0 00.500/0.500/3.618 0 0 0 0 0 00.500/0.618/3.618 5 -7.82 -2.73 0.46 8.13 13.830.500/0.707/3.618 12 -5.19 -4.05 -2.82 -0.09 -2.310.500/0.786/3.618 11 -4.11 -5.8 -7.18 -5.63 -16.30.500/0.886/3.140 5 -2.05 -2.58 -7.47 -0.99 -2.190.500/0.886/3.618 5 -6.48 -3.28 -6.04 -8.84 -4.890.618/0.382/3.618 0 0 0 0 0 00.618/0.447/3.618 0 0 0 0 0 00.618/0.500/3.618 18 -8.72 -8.97 -7.67 -8.51 -12.260.618/0.618/3.140 10 -2.81 -4.53 -8.27 -9.03 -9.210.618/0.618/3.618 16 -5.35 -6.95 -9.12 -5.68 -3.620.618/0.707/2.618 0 0 0 0 0 00.618/0.707/3.140 19 -8.33 -10.06 -10.68 -14.45 -0.790.618/0.707/3.618 8 -7.35 -5.22 -5.88 -5.76 -11.020.618/0.786/2.618 12 -4.68 -3.17 -1.69 5.15 3.260.618/0.786/3.140 19 -1.12 -2.04 -1.66 -0.49 2.210.618/0.886/2.240 6 -2.58 -3.76 -5.1 -9.26 -6.840.618/0.886/2.618 42 -2.9 -4.58 -5.93 -6.54 -1.380.618/0.886/3.140 12 -3.66 -6.04 -4.86 -4.88 -3.730.886/0.382/2.618 0 0 0 0 0 00.886/0.382/3.140 8 -7.41 -7.87 -14.11 -18.05 -14.950.886/0.382/3.618 0 0 0 0 0 00.886/0.447/2.240 0 0 0 0 0 00.886/0.447/2.618 9 -1.4 -2.49 -2.52 0.26 2.170.886/0.447/3.140 0 0 0 0 0 00.886/0.500/2.240 13 -3.22 1.81 2.47 -2.19 0.810.886/0.500/2.618 16 -4.82 -4.19 -7.99 -8.42 -6.630.886/0.618/2.000 12 0.08 -2.83 1.35 -9.94 00.886/0.618/2.240 34 -3.31 -4.38 -9.38 -6.82 -2.20.886/0.618/2.618 6 -7.99 -12.28 -15.02 -22.03 -9.180.886/0.707/2.000 23 -2.31 -6.35 -2.4 -3.06 5.930.886/0.707/2.240 10 -7.9 -9.13 -6.01 -6.71 4.24

Page 28: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.886/0.786/1.618 0 0 0 0 0 00.886/0.786/2.000 42 -0.35 -0.74 -2.82 1.21 4.770.886/0.786/2.240 0 0 0 0 0 00.886/0.886/1.618 42 -3.2 -4.5 -6.44 -7.9 8.420.886/0.886/2.000 34 -2.13 -5.09 -6.69 -7.55 5.821.618 XA Ratio 465 -3.68 -4.62 -5.8 -5.64 0.11.618 BC Ratio 43 -3.1 -4.27 -6.07 -7.38 8.422.000 BC Ratio 111 -1.26 -2.97 -3.59 -3.76 4.782.240 BC Ratio 66 -3.77 -3.98 -6.23 -6.47 -1.072.618 BC Ratio 88 -3.58 -4.43 -6.08 -5.25 -1.513.140 BC Ratio 74 -4.36 -5.81 -7.25 -7.71 -3.473.618 BC Ratio 83 -6.63 -6.56 -6.77 -5.2 -5.86

Bat Ratios0.382/0.382/2.618 1 -11.44 -13.56 -28.49 -20.75 na0.382/0.447/2.618 9 -9.68 -15.75 -16.18 -13.95 -27.860.382/0.500/2.618 7 -11.87 -18.14 -21.76 -20.76 -21.440.382/0.618/2.618 18 -11.91 -14.93 -17.83 -20.32 -21.130.382/0.707/2.240 3 0.46 2.06 -1.33 1.63 2.170.382/0.707/2.618 16 -6.29 -7.57 -10.63 -8.26 -9.530.382/0.786/2.240 6 -4.17 -17.48 -14.01 -15.1 13.380.382/0.786/2.618 15 -7.64 -12.58 -13.3 -13.19 -0.430.382/0.886/2.000 0 0 0 0 0 00.382/0.886/2.240 18 -4.49 -5.82 -2.49 -9.87 0.810.382/0.886/2.618 23 -6.32 -7.87 -9.1 -8.43 -0.730.500/0.382/2.240 2 -8.59 -6.65 -18.7 -23.31 1.950.500/0.382/2.618 8 -7.98 -9.45 -17.01 -26.92 -27.630.500/0.447/2.240 6 -3.22 -13.93 -14.64 -20.23 -7.980.500/0.447/2.618 4 -3.1 -6.65 -8.59 -5.55 -4.080.500/0.500/2.000 0 0 0 0 0 00.500/0.500/2.240 6 -8.98 -14.38 -28.22 -39.17 -15.560.500/0.500/2.618 7 -7.2 -13.37 -21.81 -15.96 -10.270.500/0.618/1.618 0 0 0 0 0 00.500/0.618/2.000 12 -6.01 -7.26 -12.36 -12.76 -15.530.500/0.618/2.240 10 -0.59 -10.12 -18.17 -24.35 -280.500/0.618/2.618 6 1.29 -4.09 -7.73 -8.11 -16.740.500/0.707/1.618 6 -10.79 -6.76 -2.91 -8.39 6.83

Page 29: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.500/0.707/2.000 17 1.43 1.14 -1.33 -3.79 -20.500/0.707/2.240 7 -2.53 -7.37 -4.98 -5.26 -3.190.500/0.707/2.618 0 0 0 0 0 00.500/0.786/1.618 19 -0.88 -5.75 -5.92 -8.05 -2.320.500/0.786/2.000 27 -6.34 -5.39 -10.32 -16.71 -22.990.500/0.786/2.240 8 -0.33 -5.33 -6.17 -18.44 -2.320.500/0.786/2.618 0 0 0 0 0 00.500/0.886/1.618 34 -1.03 0.33 -5.78 -9.92 -18.430.500/0.886/2.000 36 -3.45 -5.68 -7.67 -13.93 -8.770.500/0.886/2.240 5 -11.41 -13.08 -13.19 -5.9 00.500/0.886/2.618 0 0 0 0 0 00.886XA 338 -4.8 -7.46 -10.15 -12.99 -9.83AB=CD 19 -6.45 -8.78 -13.94 -19.71 -9.141.618BC Ratio 59 -1.97 -2.42 -5.49 -9.2 -9.852.000BC Ratio 93 -3.71 -4.62 -7.96 -12.68 -12.232.240BC Ratio 71 -3.92 -9.01 -10.39 -15.54 -3.252.618BC Ratio 115 -7.69 -11.02 -13.96 -13.52 -12.05Butterfly Ratios0.786/0.382/1.618 0 0 0 0 0 00.786/0.382/2.000 0 0 0 0 0 00.786/0.382/2.240 25 -8.76 -10.85 -11.83 -9.19 -0.450.786/0.447/1.618 0 0 0 0 0 00.786/0.447/2.000 0 0 0 0 0 00.786/0.447/2.240 19 0.82 -2.33 -7.95 -3.28 13.780.786/0.500/1.618 0 0 0 0 0 00.786/0.500/2.000 7 1.5 -0.04 -6.87 -4.68 3.580.786/0.500/2.240 21 -6.4 -2.79 -9.66 -7.3 -3.280.786/0.618/1.618 0 0 0 0 0 00.786/0.618/2.000 31 -3.46 -4.74 -5.55 -8.79 -6.570.786/0.618/2.240 19 -1.16 -6.44 -11.76 -2.48 0.10.786/0.707/1.618 17 -2.2 -4.04 -10.21 -8.84 -0.90.786/0.707/2.000 38 -4.7 -7.55 -7.97 -5.3 5.520.786/0.707/2.240 0 0 0 0 0 00.786/0.786/1.618 22 -2.98 -4.77 -4.63 -5.66 -0.530.786/0.786/2.000 26 -0.89 -4.73 -6.8 -8.55 -2.170.786/0.786/2.240 0 0 0 0 0 0

Page 30: Harmonic Patterns and Fibonacci Ratios - Historical Accuracy

0.786/0.886/1.618 61 -1.63 -2.83 -2.36 -3.3 -0.450.786/0.886/2.000 11 -3.76 -6.48 -7.83 -8.83 -7.160.786/0.886/2.240 0 0 0 0 0 01.27XA Ratio 300 -3.16 -5.11 -7.09 -6.24 -0.01AB=CD Ratio 120 -3.87 -5.46 -9.13 -6.71 3.241.618BC Ratio 101 -2.1 -3.53 -4.19 -4.96 -0.562.000BC Ratio 113 -3.01 -5.5 -6.93 -7.31 -0.782.240BC Ratio 86 -4.59 -6.47 -10.78 -6.38 1.5