Friday, March 1, 2013

SPX vs SoLunar Tidal Forces

2013-01-01 19:59 (Tue) = Earth @ Perihelion 
2013-01-03 04:06 (Thu) = Tidal Force @ Zero
2013-01-04 22:58 (Fri) = Third Quarter
2013-01-10 04:06 (Thu) = Tidal Force @ MAX + Moon @ Perigee
2013-01-11 14:44 (Fri) = New Moon

2013-01-17 04:07 (Thu) = Tidal Force @ Zero
2013-01-18 18:45 (Fri) = First Quarter
2013-01-22 04:07 (Tue) = Tidal Force @ MIN + Moon @ Apogee
2013-01-26 23:38 (Sat) = Full Moon

2013-01-30 04:08 (Wed) = Tidal Force @ Zero
2013-02-03 08:56 (Sun) = Third Quarter
2013-02-07 04:09 (Thu) = Tidal Force @ MAX + Moon @ Perigee
2013-02-10 02:20 (Sun) = New Moon 

2013-02-14 04:09 (Thu) = Tidal Force @ Zero
2013-02-17 15:31 (Sun) = First Quarter
2013-02-19 04:10 (Tue) = Tidal Force @ MIN
+ Moon @ Apogee
2013-02-25 15:26 (Mon) = Full Moon
2013-02-26 04:10 (Tue) = Tidal Force @ Zero
2013-03-04 16:53 (Mon) = Third Quarter
2013-03-06 04:11 (Wed) = Tidal Force @ MAX
+ Moon @ Perigee
2013-03-11 14:51 (Mon) = New Moon
2013-03-13 05:11 (Wed) = Tidal Force @ Zero
2013-03-19 05:12 (Tue) = Tidal Force @ MIN
+ Moon @ Apogee + First Quarter
2013-03-20 07:02 (Thu) = Spring Equinox
2013-03-25 05:12 (Mon) = Tidal Force @ Zero
2013-03-27 04:27 (Wed) = Full Moon 

2013-03-31 05:13 (Sun) = Tidal Force @ MAX + Moon @ Perigee
2013-04-02 23:37 (Tue) = Third Quarter
2013-04-08 05:14 (Mon) = Tidal Force @ Zero
2013-04-10 04:35 (Wed) = New Moon 

2013-04-16 05:14 (Tue) = Tidal Force @ MIN + Moon @ Apogee
2013-04-18 07:31 (Thu) = First Quarter
2013-04-22 05:15 (Mon) = Tidal Force @ Zero
2013-04-25 14:57 (Thu) = Full Moon + Lunar Eclipse 

2013-04-27 05:15 (Sat) = Tidal Force @ MAX + Moon @ Perigee
2013-05-02 06:14 (Thu) = Third Quarter
2013-05-05 05:16 (Sun) = Tidal Force @ Zero
2013-05-09 19:25 (Thu) = Solar Eclipse = New Moon 

2013-05-13 05:16 (Mon) = Tidal Force @ MIN + Moon @ Apogee
2013-05-17 23:34 (Fri) = First Quarter
2013-05-20 05:17 (Mon) = Tidal Force @ Zero
2013-05-24 23:10 (Fri) = Lunar Eclipse + Full Moon + SuperMoon
2013-05-25 20:43 (Sat)
= Tidal Force @ MAX + Moon @ Perigee
 2013-05-31 13:58 (Fri) = Third Quarter
2013-06-01 05:18 (Sat) = Tidal Force @ Zero
2013-06-08 10:56 (Sat) = New Moon 

2013-06-10 05:19 (Mon) = Tidal Force @ MIN + Moon @ Apogee
2013-06-16 12:24 (Sun) = First Quarter
2013-06-18 05:20 (Tue) = Tidal Force @ Zero

2013-06-21 01:04 (Fri) = Summer Solstice
2013-06-23 05:20 (Sun) = Tidal Force @ MAX + Moon @ Perigee + Full Moon + SuperMoon
2013-06-29 05:20 (Sat) = Tidal Force @ Zero
2013-06-29 23:53 (Sat) = Third Quarter

2013-07-05 13:59 (Fri) = Earth @ Aphelion   
2013-07-07 05:21 (Sun) = Tidal Force @ MIN + Moon @ Apogee
2013-07-08 02:14 (Mon) = New Moon 
2013-07-15 22:18 (Mon) = First Quarter
2013-07-16 05:22 (Tue) = Tidal Force @ Zero
2013-07-21 05:22 (Sun) = Tidal Force @ MAX + Moon @ Perigee
2013-07-22 13:16 (Mon) = Full Moon + SuperMoon
2013-07-28 05:23 (Sun) = Tidal Force @ Zero
2013-07-29 12:43 (Mon) = Third Quarter
2013-08-03 04:15 (Sat)
= Tidal Force @ MIN + Moon @ Apogee 
2013-08-06 16:51 (Tue) = New Moon
2013-08-12 05:24 (Mon) = Tidal Force @ Zero
2013-08-14 05:56 (Wed) = First Quarter
2013-08-19 05:25 (Mon)
= Tidal Force @ MAX + Moon @ Perigee
2013-08-20 20:45 (Tue) = Full Moon + SuperMoon
2013-08-25 05:25 (Sun) = Tidal Force @ Zero
2013-08-28 04:35 (Wed) = Third Quarter
2013-08-30 19:01 (Fri)
= Tidal Force @ MIN + Moon @ Apogee 
2013-09-05 06:36 (Thu) = New Moon
2013-09-08 05:26 (Sun) = Tidal Force @ Zero
2013-09-12 12:08 (Thu) = First Quarter
2013-09-15 05:27 (Sun)
= Tidal Force @ MAX + Moon @ Perigee
 2013-09-19 06:13 (Thu) = Full Moon
2013-09-22 05:28 (Sun) = Tidal Force @ Zero

2013-09-22 16:44 (Sun) = Fall Equinox
2013-09-26 22:56 (Thu) = Third Quarter
2013-09-27 05:28 (Fri) = Tidal Force @ MIN + Moon @ Apogee
2013-10-04 19:35 (Fri) = New Moon +
Tidal Force @ Zero
2013-10-11 05:29 (Fri) = Tidal Force @ MAX
+ Moon @ Perigee + First Quarter
2013-10-18 18:38 (Fri) = Full Moon + Lunar Eclipse
2013-10-19 05:30 (Sat) = Tidal Force @ Zero
2013-10-25 05:30 (Fri) = Tidal Force @ MIN + Moon @ Apogee
2013-10-26 18:40 (Sat) = Third Quarter
2013-10-31 05:31 (Thu) = Tidal Force @ Zero
2013-11-03 07:46 (Sun) = Solar Eclipse + New Moon
2013-11-06 04:31 (Wed) = Tidal Force @ MAX + Moon @ Perigee
2013-11-10 00:57 (Sun) = First Quarter
2013-11-15 04:32 (Fri) = Tidal Force @ Zero
2013-11-17 10:16 (Sun) = Full Moon
2013-11-22 04:33 (Fri)
= Tidal Force @ MIN + Moon @ Apogee
2013-11-25 14:28 (Mon) = Third Quarter
2013-11-28 04:33 (Thu) = Tidal Force @ Zero
2013-12-02 19:22 (Mon) = New Moon
2013-12-04 04:34 (Wed) = Tidal Force @ MAX + Moon @ Perigee
2013-12-09 10:12 (Mon) = First Quarter
2013-12-12 04:34 (Thu) = Tidal Force @ Zero
2013-12-17 04:28 (Tue) = Full Moon 

2013-12-20 04:35 (Fri) = Tidal Force @ MIN + Moon @ Apogee
2013-12-21 12:11 (Sat) = Winter Solstice  
2013-12-25 08:48 (Wed) = Third Quarter
2013-12-26 04:36 (Thu) = Tidal Force @ Zero


More HERE

SPX vs George Bayer's Rule #44 - Mercury Halfway Retrograde

MERCURY HALFWAY RETROGRADE PLACE  
... The rule here concerns only the retrograde movement and centers specifically on the halfway point from the moment Mercury turns retrograde to the place where it moves again direct. We figure the difference of these two places in the Zodiac, divide by two and look in the ephemeris (Raphael’s) for the date when this halfway point is reached ...
[George Bayer (1940): Stock and Commodity Traders´ Hand-Book of Trend Determination. Carmel, California; p. 43]

Calculated and charted with Sergey Tarassov's Timing Solution
2012-07-27 20:48 (Fri) = MER @ halfway (R)
2012-11-17 06:27 (Sat) = MER @ halfway (R)
2013-03-05 02:12 (Tue) = MER @ halfway (R)
2013-07-08 23:50 (Mon) = MER @ halfway (R)
2013-11-01 08:45 (Fri) = MER @ halfway (R)
2014-02-16 06:13 (Sun) = MER @ halfway (R)

Thursday, February 21, 2013

S&P 500 and DAX vs Intermediate Delta Cycle

According to the Delta-pundits (Wilder, Rosen, Copan, etc.) Inversions of the Intermediate Delta Pattern (ITD = 4 Lunar Month Cycle) only occur between the 'Red Full Moon' and the 'Blue Full Moon' (see colored vertical lines and the reddish time-frames in the first chart & HERE).

ITD #5 occurs around 'blue' New Moons (= grey vertical between blue and yellow verticals). 4 months ago ITD #5 printed 1 TD before New Moon. What was it before the last New Moon? Should it be considered a high, a low, the end of a sideways-consolidation, the end of a triangle (equivalent to a low)? If the latter is correct, no inversion occurred in the 4 Lunar Month Pattern (see pink dashed line), and we should again be at or near a low. A sideways-to-up movement into March 4 (+/- 2TD max) should follow. Very likely it will be a lower high.


However, the DAX obviously did invert around the last 'Blue Full Moon', but then somehow re-adjusted again to the pattern traced 4 Lunar Months back (pink dashed line is shifted 118 CD into the future). If this is correct, also the DAX should now move sideways-to-up into early March. 

A major low in US stock indices is due early to mid-March (9 Month Cycle), and should be followed by another advance to higher-highs during the second quarter. A correction could take place end of March - early April. But the Spring Rally is a very stable annual pattern, even present during bad years, e.g. 2007 and 2008. Usually equities indices rise into the April 23 - May 5 time frame. 

Wednesday, February 13, 2013

S&P 500 vs Gann Time-Price-Relations & Delta Cycles

45 degrees on the Square of Nine currently equal 19 points in the S&P 500.
See also HERE &
HERE & HERE & HERE



















See also HERE


Charts above created with Gannalyst Professional 5.0

The dashed magenta line implies no magnitude. See also HERE & HERE

Thursday, January 31, 2013

The Finger of God


The Yod aspect pattern is a configuration of three planets creating a long isosceles triangle, called the Finger of God (two 150 degree angles = quincunx, and one 60 degree angle = sextile). Yod is the 10th letter of the Hebrew alphabet, meaning the Finger of Yahweh. It has kabbalistic and mystical significance regarding the name of God, his omnipresence and men's humility. The apex of the Yod pattern is always pointing to something important. Right now (Jan 31, 2013) a very rare heliocentric Yod is formed by Earth, Mars and Pluto (1 degree orb):  

EAR = 131.34 degrees (11°LEO 20'43'')
MAR = 340.51 degrees (10°PSC 30'37'')
PLU = 279.45 degrees (09°CAP 27'04'') 


Mars, God of War, master of energy, action, and desire. Pluto, God of the Underworld, master of subconscious forces, transformation, renewal and rebirth. Out of their water signs both are pointing to Earth, this lonely planet of God's most wondrous creatures in the fire sign of Leo. Last time this pattern adorned our solar system with the same precision was June 13, 1876. Next time will be May 3, 2079. Astrologers usually associate the Yod pattern with the arrival at a fork in the road and having to proceed in one direction rather than another without knowing where it will lead to.

Wednesday, January 30, 2013

Jupiter Turning Direct = Short Term High

2013-01-30 (Wed) = Tidal CIT 
2013-01-30 (Wed) = JUP (D) = Level 3
2013-01-30 (Wed) = SUN 090 SAT = Level 2

2013-01-30 (Wed) = VEN 090 URA [helio]
2013-01-30 (Wed) = 89 CD from 2012-11-02 H 
2013-01-31 (Thu) = ITD #4 (HIGH)  2013-01-31 (Thu) = Tidal CIT   
2013-01-31 (Thu) = AI 7
2013-01-31 (Thu) = MER 090 JUP [helio]
2013-01-31 (Thu) = VEN 000 PLU [helio] 


See also HERE
 

Tuesday, January 29, 2013

S&P500 Seasonality - January Indicators

Jeffrey A. Hirsch: The recent Santa Claus Rally (SCR), the First Five Days (FFD), and the January Barometer (JB) were all positive. Since 1950, all three indicators have been positive 27 times and full-year gains followed 25 times. 

The chart shows the 1-Year Seasonal pattern of the S&P 500 when the SCR, FFD, and JB were all positive since 1950.

Sunday, January 27, 2013

Delta-Projection - Tides - Astro-Events (Jan 1 - Apr 1)

See also HERE
 

Delta Points since Medium Term Delta low on
2012-12-31 (Mon) = ITD #1 LOW = MTD #8
2013-01-03 (Thu) = ITD #a (HIGH) 
2013-01-08 (Tue) = ITD #b (LOW) 
2013-01-17 (Thu) = ITD #2 (HIGH)
2013-01-24 (Thu) = ITD #3 (LOW)

Delta Projection 

2013-01-31 (Thu) = ITD #4 (HIGH) 
2013-02-08 (Fri) = ITD #5 (LOW)
2013-02-12 (Tue) = ITD #6 (HIGH) = MTD #9 = LTD #11 = Major HIGH  

2013-03-01 (Fri) = ITD #7 (LOW) = MTD #10 = LTD #12 = Major LOW ? 
2013-03-04 (Mon) = ITD #c (HIGH) 
2013-03-07 (Thu) = ITD #d (LOW) = MTD #10 = LTD #12 = Major LOW ?
 2013-03-11 (Mon) = ITD #e (HIGH) 
2013-03-14 (Thu) = ITD #f (LOW) = MTD #10 = LTD #12 = Major LOW ?
2013-03-15 (Fri) = ITD #8 (HIGH) 

2013-03-18 (Mon) = ITD #9 (LOW)
2013-04-01 (Mon) = ITD #10 (HIGH)
 


Summary: Delta - Tides - Astro-Events  
Ray Merriman's Cosmic Signatures (Level 1 = major CIT / Level 2 = intermediate CIT / Level 3 = short-term CIT) 

2012-12-28 05:21 (Fri) = Full MOO 
2013-01-01 (Tue) = Tidal CIT 
2013-01-01 19:59 (Tue) = EAR @ Perihelion 
2013-01-02 (Wed) = Tidal CIT 

2013-01-03 (Thu) = ITD #a (HIGH) 
2013-01-03 (Thu) = Tidal CIT 
2013-01-03 (Thu) = AI 8
2013-01-04 (Fri) = MAR 120 JUP = Level 2
2013-01-04 22:58 (Fri) = MOO 3rd Q 

2013-01-06 (Sun) = Tidal CIT 
2013-01-06 (Sun) = VEN 000 Galactic Center  
2013-01-07 (Mon) = Tidal CIT 
2013-01-07 (Mon) = MAR 090 SAT = Level 1
 

2013-01-08 (Tue) = ITD #b (LOW) 
2013-01-09 (Wed) = AI 8 
2013-01-10 05:26 (Thu) = MOO @ Perigee 
2013-01-11 14:44 (Fri) = New MOO 
2013-01-12 (Sat) = Tidal CIT 
2013-01-12 (Sat) = VEN 090 URA = Level 2
2013-01-13 (Sun) = Tidal CIT 
2013-01-16 (Wed) = VEN 0 PLU = Level 1 

2013-01-17 (Thu) = ITD #2 (HIGH)
2013-01-18 (Fri) = AI 7 
2013-01-18 18:45 (Fri) = MOO 1st Q 
2013-01-20 (Sun) = Tidal CIT  
2013-01-21 (Mon) = Tidal CIT  
2013-01-22 06:03 (Tue) = MOO @ Apogee

2013-01-24 (Thu) = ITD #3 (LOW)
2013-01-25 (Fri) = SUN 120 JUP = Level 2  
2013-01-26 23:38 (Sat) = Full MOO 
2013-01-30 (Wed) = Tidal CIT  
2013-01-30 (Wed) = JUP (D) = Level 3
2013-01-30 (Wed) = SUN 090 SAT = Level 2
 

2013-01-31 (Thu) = ITD #4 (HIGH) 
2013-01-31 (Thu) = Tidal CIT 
2013-01-31 (Thu) = AI 7
2013-02-03 (Sun) = AI 7
2013-02-03 08:56 (Sun) = MOO 3rd Q 

2013-02-04 (Mon) = Tidal CIT 
2013-02-04 (Mon) = MAR 000 NEP = Level 1
2013-02-07 (Thu) = VEN 120 JUP = Level 2 
2013-02-07 06:42 (Thu) = MOO @ Perigee 

2013-02-08 (Fri) = ITD #5 (LOW) 
2013-02-10 (Sun) = Tidal CIT 
2013-02-10 (Sun) = MAR 090 JUP = Level 2 
2013-02-10 02:20 (Sun) = New MOO 
2013-02-11 (Mon) = VEN 090 SAT = Level 2

2013-02-12 (Tue) = ITD #6 (HIGH) = MTD #9 = LTD #11
2013-02-15 (Fri) = AI 7
2013-02-16 (Sat) = MAR 120 SAT = Level 1

2013-02-17 15:31 (Sun) = First Q  
2013-02-18 (Mon) = Tidal CIT 
2013-02-18 (Mon) = SAT (R) = Level 1
2013-02-19 (Tue) = Tidal CIT 

2013-02-19 01:44 (Tue) = MOO @ Apogee 
2013-02-21 (Thu) = SUN 000 NEP = Level 1

2013-02-23 (Sat) = MER (R) = Level 3
2013-02-25 (Mon) = SUN 090 JUP = Level 2
2013-02-25 15:26 (Mon) = Full MOO 
2013-02-28 (Thu) = VEN 000 NEP = Level 3
 

2013-03-01 (Fri) = ITD #7 (LOW)
2013-03-01 (Fri) = Tidal CIT
2013-03-01 (Fri) = SUN 120 SAT = Level 2


2013-03-04 (Mon) = ITD #c (HIGH)
2013-03-04 (Mon) = VEN 090 JUP = Level 2 

2013-03-04 16:53 (Mon) = MOO 3rd Q 
2013-03-06 (Wed) = Tidal CIT
2013-03-06 (Wed) = AI 7

2013-03-06 (Wed) = VEN 120 SAT = Level 2

2013-03-07 (Thu) = ITD #d (LOW)
2013-03-08 (Fri) = MAR 090 Galactic Center


2013-03-11 (Mon) = ITD #e (HIGH)
2013-03-11 (Mon) = Tidal CIT 
2013-03-11 14:51 (Mon) = New MOO 
2013-03-12 (Tue) = Tidal CIT 

2013-03-14 (Thu) = ITD #f (LOW) = MTD #10 = LTD #12 

2013-03-15 (Fri) = ITD #8 (HIGH)
2013-03-17 (Sun) = SUN 090 Galactic Center
2013-03-17 15:05 (Sun) = MER (D)
= Level 3
 

2013-03-18 (Mon) = ITD #9 (LOW)
2013-03-18 22:13 (Mon) = MOO @ Apogee  

2013-03-19 (Tue) = VEN 090 Galactic Center 
2013-03-19 12:27 (Tue) = MOO 1st Q 
2013-03-20 (Wed) = Tidal CIT 
2013-03-20 06:02 (Wed) = Vernal Equinox  
2013-03-22 (Fri) = MAR 000 URA = Level 1
2013-03-26 (Tue) = MAR 090 PLU  = Level 2 
2013-03-27 04:27 (Wed) = Full MOO 
2013-03-28 (Thu) = Tidal CIT 
2013-03-28 (Thu) = AI 7
2013-03-28 (Thu) = VEN 000 URA Level 2
2013-03-28 (Thu) = SUN 000 URA Level 1 

2013-03-29 (Fri) = Tidal CIT 
2013-03-30 22:50 (Sat) = MOO @ Perigee   
2013-03-31 (Sun) = VEN 090 PLU = Level 1
2013-03-31 (Sun) = SUN 090 PLU = Level 3
 

2013-04-01 (Mon) = ITD #10 (HIGH)
2013-04-02 23:37 (Tue) = MOO 3rd Q

Saturday, January 19, 2013

Decennial Cycle and Presidential Cycle in 2013


Michael Riesner and Marc Müller: Technical Outlook 2013 - Since 1900 the US market has marked an important long-term bottom in the first 4 years of EACH decade, without exception (see table of Lance Roberts at left) ... The last major low in the S&P 500 we saw in March 2009, which obviously belongs to the last decade. So either we see in the current decade the first failure of this pattern in more than 100 years or we will see another bear market and subsequent bottom in the next 2 years, which would then fit to both, the presidential and the decennial cycle. In this context it is very interesting that if we combine both cycles and look into the past, we are getting again a consistent picture of having a high probability for seeing a new bear market in the next 24 months. Since 1941 we had 7 presidential election cycles where the post-election and mid-term year fell into the first 4 years of a decade. In 5 out of 7 cycles (72% probability) we saw significant bear markets and more importantly, they were among the most painful bear markets of the last century! 
Conclusion: Our preferred scenario for 2013 is that we see an important March top in equities, followed by a distributive summer top building phase before seeing significant weakness from a potential August top developing into Q4. ... From a potential top of around 1550 to 1570 we could see the market correcting to 1180/1100. From a secular perspective this potential new bear market could bring us a very important long-term low for equities in 2014.
 

Wednesday, January 16, 2013

S&P500 vs 20, 45 and 60 Year Cycles = Daily Correlations 88% - 92%

"The Great Time Cycles are most important because they record the periods of extreme high or low prices. The cycles are 90-Years, 82 to 84 Years, 60 Years, 45 Years, and 20 Years.

"The digits 1 to 9 when added together total 45. 45 is the most important angle. Therefore 45 years in time is a very important cycle. One-half of 45 is 22 ½ years or 270 months. One-fourth of 45 is 11 ½ years or 135 months, which is three times 45.

"This is the greatest and most important cycle of all, which repeats every 60 years or at the end of the third 20-Year Cycle. You will see the importance of this by referring to the war period from 1861 to 1869 and the panic following 1869: also 60 years later – 1921 to 1929 – the greatest bull market in history and the greatest panic in history followed. This proves the accuracy and value of this great time period."

"One of the most important Time Cycle is the 20-Year Cycle or 240 months. Most stocks and the averages work closer to this cycle than to any other."
 


Monday, January 14, 2013

Mass Pressure Chart 2013

Several years ago the Mass Pressure Chart was hyped and sold as W.D. Gann's ultimate secret. Daniel T. Ferrera, a pundit on the matter, admits: "I have talked to many Gann experts about the Mass Pressure Chart and most have no clue as to what it may be. I have never seen an actual original Mass Pressure Chart from W.D. Gann and I do not know of anyone else who has come across one."

However, it seems the Mass Pressure Chart is but a selective or incomplete Decennial Pattern: Each value of this equally weighted composite is derived from 6 past price values of the DJIA exactly 80, 60, 40, 30, 20, and 10 years back. The Mass Pressure Chart and the Decennial Pattern oftentimes look very much the same, and have identical turning-points.

SPX vs George Bayer's Rule #6 - Mars @ 16(AQU)35

MARS IN GEOCENTRIC LONGITUDE PLUS 330 DEGREES
Here is a rule that does not occur very often. Whenever it can be used, grand results are obtained. We use the position of Mars in geocentric longitude and the value to be used is 16 degrees 35’. The signs which we have to use change from year to year backwards. In simpler words, we add to a value once established 330 degrees. As stated above the Laws of Nature are very intricate and hard to explain, but when looked up on charts and in the ephemerides you can grasp what I mean.
[George Bayer (1940): Stock and Commodity Traders´ Hand-Book of Trend Determination. Carmel, California; p. 15]

2012-10-29 22:42 (Mon) = MAR @ 16(sag)35
2012-12-08 14:13 (Sat) = MAR @ 16(cap)35
2013-01-15 21:28 (Tue) = MAR @ 16(aqu)35
2013-02-22 21:36 (Fri) = MAR @ 16(pis)35
2013-04-02 14:33 (Tue) = MAR @ 16(ari)35


Also Bayer-Rule #9 points to Tuesday afternoon / Wednesday morning as a potential CIT:  2013-01-15 14:51 (Tue) = MER @ 24(cap)14 (As always: all times EST).

Saturday, January 12, 2013

Decennial Pattern for 2013

Larry R. Williams: The Right Stock at the Right Time, p. 11
In his book Tides and the Affairs of Men (1939), Edgar Lawrence Smith presented the idea of a ten-year stock market cycle. Smith's theory resulted from combining two other theories, Wesley Mitchell's 40-month cycle theory and the theory of seasonality. Combining these two periods, Smith theorized that there must be a ten-year, or 120-month, cycle. 

This would result from ten 12-month, annual cycles and three 40-month cycles coinciding every 10 years. When Smith investigated prices more closely, he found that indeed there appeared to be a price pattern in the stock market that had similar characteristics every ten years. This pattern has since been called the decennial pattern.

Smith used the final digit of each year's date to identify the year in his calculations. He termed the years 1881, 1891, 1901, etc., as the first years; 1882, 1892, etc. are the second; and so forth. 

"The 10-year cycle continues to repeat over and over, but the greatest advances and declines occur at the end of the 20-year and 30-year cycles, and again at the end of the 50-year and 60-year cycles, which are stronger than the others.

W.D. Gann (1954): Master Stock Market Course, p. 224