INTRODUCTION AND FOUNDATION
“3 shall be the number thou shall count, and the number of the counting shall be three…”
The Monty Python reference not-withstanding, the number 3 generates much curiosity for me in the markets. Usually this involves linking 3 with its inversion (1/x) of ‘1/3’; dividing 90 degrees into thirds providing the ever useful 30 degrees and 60 degrees; dividing a price range into thirds of 33.3% and 66.6%; or linking reversals with any combination of 3 and these facets of thirds.
(Author’s note: Short on time? Please by all means skip the nitty-gritty and jump to the last few charts for patterns and projected resistance levels.)
Editor’s note: the conclusion is bullish.
But lately I have found a new ‘mathematical toy’, 1/3 of 10 (the basis of our counting system), or ‘3 to infinity’:
10 /3 = 3^(1/3) = 3.33333333333333333333333333333…
And, even seemingly further off topic of the markets is, of course, its partner in crime:
100 /3 = 33^(1/3) = 33.3333333333333333333333333333333333…
…as in 33.33… degrees, whose tangent is 0.6577.
APPLICATION OF ‘THE THIRD’
Back to the markets, I turn to the Dow Jones Industrial Average going all the way back to the top of the crash of 1929 with a price of 386.10, in an effort to understand the next two major highs of Jan 1973 at 1067.2 and Oct 2007 at 14,198.10 using one of my new fractional friends:[1]
386.10 x 33.33… = 12,870 + 1067.20 (’73 high) = 13,937.20
This yearly log chart shows the result along with ‘33’ year stretches at work from the century’s two major lows:
First off, regarding the initial product of 12,870, the Dow reversed at exactly 6 points (double 3!) points higher at 12,876 in May 2011 for the largest correction yet in the overall uptrend since 2009, but even more interesting is that 13,937.20 gives functional resistance for the all-time highest monthly close of 13,930.01.
Even more prevalent is a 33 year trend effect (I assume that this phenomenon is established way before this writing, but certainly is topical here). Although the market did not top in 1965 (33 years from the 1932 low), it did:
- Make a high close for 1965 of 969.26 which offered resistance to future yearly closes until the high of 1973.
- Mark the beginning of a 17 year sideways market, ending in Aug 1982, which, from 1965’s close (the last recorded monthly price in December) is actually 16 years and 8 months away, which is exactly :
33.33…years /2 = 16.66… = 16 years and 8 months!
17 years = 331/3 years /2 + 1/3 year
(Granted I am combining 33.33… year concept with a 33 year run, and again, I am most likely NOT the first person to find this!)[2]
- Perfectly topped in 2007, 33 years and 3 months (‘33.33’ of sorts) after the low of 1974.
Will 13,937.20 hold up as general resistance for the current market as well, signified by a refusal to close above it on a monthly basis, or has the Dow somehow indicated that it has greener pastures in sight, as in a new all-time high?[3]
(Author’s Note: Of course, the very fact that the top on October 11, 2007 was just 2 days off of the exact 700 year anniversary of the infamous disastrous date of October 13, 1307 A.D. (the market was closed on Oct 13th 2007, a Saturday), when the King of France and the Pope had the Grandmaster and 139 knights of the Knights Templar arrested and later executed.[4] This group is a major source of ‘Illuminated’ fraternities fond of ‘33’) is just a coincidence, right? Remember that year 1307 for later.)
We now turn towards the sequential pattern that has identified major reversal areas since 1987.
MORE ADDING OF ONE PRICE TO ANOTHER
First off, I expand the foundation for combining points (as done in the first chart), and then establish the striking accuracy and importance of the rather easy-to-miss low of Jan 1991 of 2448.20:
In the first example, the major low of 570.01 gets a zero to boot by multiplying by 10 and then is added to the powerful impulse point of August 1982 at 769.98, providing an alarmingly close hit to the major bounce point of 6469.95 back in March 2009: off by only .13, just 13/100 of a point. (Shades of 1307.)
The second chart displays similar accuracy by giving an almost exact hit for the all-time high when the seemingly inconspicuous pullback of 2448.20 in January 1991 is added to the previously distinguished top of 11,750.28 of January 2000, giving resistance at 14,198.48. Again, accuracy of less than ½ a point is given at 38/100 of a point.
GOING IN SEQUENCE
Now, to put it all together!
The next chart (tops are lettered in red, bottoms with blue) tackles not only the mid-late 1990’s bull run, but BOTH major corrections of the last decade without leaving the comfort of ‘the third’:
- The uptrend from B (Blue) to B (red) encounters resistance from that previously mentioned pullback of 2448.20 (A blue) multiplied by 3^(1/3) then added to the low of Mar 1994 at 3520.80 (B blue), giving 11,681.47 for the 11,750.28 top (B red).
- The following downtrend is called by using the ratio .6577, which as shown in the introduction is the tangent of 33.33 degrees
. (The tangent ratio is the relationship between the height and width of any angle.) The major low at C (blue) is almost exactly at 1.6577 times the former high of 2746.70 (red A) when placed from B (red). In fact, it is only .44 of 1 point off, which equals .33 x 1.33.
- Note that .6577 of A (red) below offers initial support to the temporary sideways market, but not exact support.
- The last great downtrend is almost exactly .6577 (tan 33.33…) of B (red, at 11,750.28) from C (red, at 14,198.10). In fact, IT IS .1307 OFF!! (Remember 1307?)
14,198.10 – (11,750.28 x tan 33.33) = 6,469.8193 (rounded) –
6,469.95 (Mar 2009 low) = -0.1307
For Dan Brown fans: The Dow made its all-time high only 2 days off of the 700 year anniversary of the most infamous date of Oct 13, 1307 A.D. (infamous for those groups who understand and use 33), and then crashed exactly .1307 of 1 point away from the exact amount of the previous all-time high combined with the tangent of 33.33. Truth is indeed stranger than fiction.
Now for the up trends, and an idea of what may potentially come to pass.
- Adding the low of the 1994 sideways market (3520.80) to the major low of October 2002 of 7197.49 (C blue) gives great resistance of 10,718.29 for the first top formed at 10,753.63, just 35.34 off (close to 33.33). But notice the market does not drop like after the 2007 top.
- Instead, it drifts choppily, only to break through (small green arrow) and return for quick support (it dropped under by 34.97, even closer to 33.33).
- Then topped just under the next perfect multiple (2x) at 14,239.09.
- The current uptrend just triumphantly pushed through the perfect addition of the previous low (C blue) at 13,667.44 (read: 13, ‘667’
(2/3) and .44). This is huge (if it holds)!
Apparently, this dynamic of current price with this sequential level is NOT a repeat of the previous uptrend’s encounter with the first multiple level and is very good for the bulls.
But what are the next possible resistance levels to look out for? Let’s expand on this application of the previous low’s 7197.49 added to the March 2009 bottom:
These levels include not only the ambitious x2 level of 20,864.93 (matching the previous uptrend topping dynamic), but also include ‘1/3’ levels of 1^(1/3) at 16,066.60 (similar to the mid-90’s uptrend’s x3.33), and tan 33.3 at 18,401.30 (harmonically matching both 2000’s downtrends).
In addition, the 1^(1/3) level amount of 9596.65 (7197.49 x 1.33, then added to the low of 6469.95) is in itself a support level (blue arrow).
It is interesting to note that a simple line connecting both highs and extending forward intersects level 1.33 exactly in October of this year, the 6th anniversary of the all-time high. (And 6 is double 3.) And since the Dow did NOT top last October (the major 5 year or 60 month cycle point), it seems indeed to be heading north for a while.
Ultimately, since the Dow does not seem to be halted by this matching level, it would follow that a major top would need to be at a matching harmonic level, as evidenced by the previous trends. At such an occurrence, support levels can be generated in similar fashion.
CONCLUSION
The Dow’s major moves since at least the mid-1990’s demonstrate that particular sequential prices of lows and highs are hidden in these moves, either as whole amounts or incorporating the ‘third’ as a fraction or a tangent. This phenomenon, if continued, gives objective targets for a future top and eventual bottom.
ENDNOTES
[1] Interesting to note that 1929 top’s price of 386.10 is composed perfectly of squares, which is certainly a doorway for another technique entirely:
386 = 192 + 52
.10 = 32 + 12
[2] Most likely this is coming from a subconsciously buried reading from a Michael Jenkins book. Anyone even remotely interested in my articles would do well to check out his profound writings.
[3] As of this writing (January 30), the Dow’s recent high is 13,969.99 which is 7,500.04 above the uptrend’s start of 6,469.95. If a top does form here, it would seem fitting (for at least a sizable correction) for a run of 7,500 (as in .75 x10,000) points, since .75 is the inversion of 1.33.
[4] Source: Knights & Freemasonry: The Birth of Modern Freemasonry, by Albert Mackay and Albert Pike (Cornerstone).