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Composite %ia&ram: 3et us look closer at the central area of this window, the composite diagram itself:
The program calculates it by comparing the price data and the -un position in the selected /odiac (as in our e#ample in other cases, the price may be compared to the changing angle between two selected planets.). 0rom 0rom this this dia diagra gram, m, we migh mightt e#pect e#pect tha that, t, when when the the -un is is in the the beginn beginning ing of of the 3ib 3ibra ra sign sign ( ) it happe happens ns at the end of -eptember, the price reaches its ma#imum. Thus, it might be a turning point4 however, is it really so6 To answer this 7uestion, look at those three colored lines. If they all point in the same direction, the answer is "yes". "redictable(npr "redic table(npredictable edictable )ones: In our case, two composites (the red and blue ones) confirm the turning point (look at the vertical line that marks the corresponding correspon ding time point). 8owever, the third line (the black one) goes in the other direction. It means that this conclusion is not confirmed at least inside one of the chosen intervals.This area is marked on the "predictable !ones" line as unpredictable. In other words, to make such a conclusion conclusion (in regards to the ma#imum price for crude oil when the -un is in 3ibra), we have to analy!e other factors.9ow, look at the ecember area. 8ere all three lines go down. -o, this area is marked as a red one i.e., predictable. ;e ;e can make a conclusion con clusion based on the analysis of three independent independ ent data intervals. intervals . It is stated that tha t every ecember crude oil prices go down (in the very beginning of that month):
In brief, looking at such a diagram and predictable !ones, it is possible to make a reliable conclusion. The more intervals we take, the more reliable is our conclusion when the pro5ected lines for every interval will go in the same direction. The price diagram itself (a purplegreen area) also shows downward movement in ecember. In other words, we have found some factors that coincide with changes in crude oil prices at that time of the year and can use them for making a forecast. Correlation * +uality of pro#ection line: ou can see how the pro5ection line fits the price chart here:
This line shows the correlation between the pro5ection line and the price (to be e#act, the target, usually this is a detrended oscillator)4 in our e#ample, it is *.<. If the correlation is closer to %.*, this means that this pro5ection line reflects the price movement very well4 see more in %efinitions chapter. 9e#t parameter is the interval that is used to calculate the correlation coefficient. ou always get a good correlation on interval, because we use the price information in formation from this interval to calculate the omposite (and the pro5ection line lin e as well). To estimate the real performance of our model, it is better to use some independent interval (= or ). -ee more about these intervals in %efinitions chapter.3et us take a more complicated e#ample: analy!e how the $oon phases affect crude oil prices. oes this relationship really e#ist6Composite for the an&le between planets: planets: =efore making any steps, let us understand what the $oon phases are. In a core, they reflect changes of the angle between the -un and the $oon. 0or e#ample, the 9ew $oon takes place when the -un, the $oon and the 2arth are situated at the same "line" in the space, and the angle between the -un and the $oon is !ero. The 0ull $oon is very similar to the 9ew $oon, the difference is that the 2arth is situated between the other two, and the angle between the -un and the $oon is %'* degrees. Thus, in the program, we will create a composite of the angle between the -un and the $oon. To do this, set up the following terms in the upper right part of the Composite window:
8ere is the composite diagram for the angle between the -un and the $oon4 it looks e#tremely interesting:
0irst of all, note that all three composite diagrams (red, blue and black calculated for different data intervals) move in totally different directions everywhere e#cept the area where the angle between the -un and the $oon reaches %'* degrees. In other words, we may conclude that around the 0ull $oon the crude oil price reaches its local minimum. 0or any other periods, it looks like the -un$oon angle has no effect upon the price. ,asic nter.al: The feature discussed here has been observed only for one year ($ay **$ay **+4 it is a month when this feature has been added to the program). To make it more understandable, we have to use a new definition: a basic interval. It is the smallest data amount that is sufficient enough to make a primary conclusion. basic interval is a very important definition. ;e have found e#perimentally that the same phenomena have different effects, and these effects depend on the time frame. f rame. In other words, the effect of the $oon>s aspects on the same stock market is different now than it was %* years ago. -o, the basic interval is the interval with enough data to make a conclusion. 0or e#ample, to calculate the -un $oon composite, the last % cycles are enough. This approach gives better results than taking a huge amount of data and facing the impossibility to make any conclusion..This is a new and very important feature of the omposite module.
This option allows you to specify the period to calculate the composite curve.
Goin& into %epth In this section, the different parts of the omposite window are described. 2ach one of them provides enormous possibilities. /0erms/ panel /0erms/ : 8ere you can define the planetary pairs and types of /odiac to use as well as the harmonics number. 0or e#ample, here are settings to search the effect of the angle between $ercury and 1enus, in 8eliocentric /odiac, for 8 harmonics:
;hile defining the harmonics number, we simply point out that some harmonics are important for this set of data. It means that there is a kind of cycle symmetry. 0or e#ample, 8 harmonics means that the data change for the angle between these two planets in the range of *? and %'*? is similar to the data change for the angle in the range of %'*? and <*?. If 8 harmonics is significant, it means that the effect of the angle of *@ will be the same as for %*@ and +*@. /1l&orithm/ panel like this:
: 0irst of all, you should not change the settings of this panel often. It looks
The "naly!ed Inde#" means the inde# you use to calculate the composite. 0or e#ample, you can create the composite for "8igh" only. There are some recommendations4 letAs start with two of them. These recommendations are based on our own e#perience: %) 0or 2i&h $ow Open Close and all indices that possess a natural trend, use algorithm. 0or e#ample, to create the composite for "8igh" inde#: %) click B2ditC button and chose B8ighC inde#4 ) highlight highlight the "uto d5ust" d5ust" option. The program normali!es normali!es the "8igh" inde# according to the period specific to the compositeAs planetary pair and uses this inde# to calculate this composite:
) 0or free of trend values (like 3olatility . olatili ty 45 1%67 use this algorithm: ou can easily create the composite for D inde# (as in the e#ample) and analy!e how the planetary position (or the angle between the planets) impacts this inde#:
s an e#ample, we consider the composite for $arsEupiter angle calculated for ow Eones Industrial inde# (%&F***G):
s you see, when the angle between $ars and Eupiter reaches %* degrees, the D inde# goes to +*H (these regions are shown on the picture). This tendency has been verified for three independent intervals.ccording to Technical nalysis canons, the value +* (and above) indicates the strong trend tendency (no matter, bullish or bearish). Then the D decreases. -o we can specify these !ones as "... potential changes in i n the market from trending to nontrending
) This algorithm is original algorithm proposed by =ill $eridian. This algorithm is used in his books to calculate composite diagrams. ou can use this algorithm instead of Buto d5ustC. I$8, I think that for longterm cycles (like % years Eupiter cycle) Buto d5ustC algorithm works better. In any case, you can work with both options./3iew/ panel : This panel allows specifying indices displayed in the $ain window:
s an e#ample, letAs create the composite for lose inde#. The green line in the $ain window corresponds to the pro5ection line for the chosen astro cycle:
hecking "Target for omposite" option, you can display in the $ain window the inde# that is used to calculate the omposite. 0or e#ample, if we research the nnual (-un) cycle for lose inde#, the program normali!es the lose using relative price oscillator with periodJF days. This is the target. 0or shorter cycles (like the $oon>s cycle), we need to concentrate on faster cycles. 0or the $oon>s cycle, I would recommend the oscillator with a
G days period. The options are necessary when you create the pro5ection line based on two or more astro cycles. It is e#plained further. 1cti.e )ones 3et us e#plain what "ctive /ones" are considering one simple e#ample. ownload the crude oil price from %&' to **+. -et these options in the "ctive /ones" panel:
lick on "/ig!ag ptions" button. The window will be displayed where you may set these options for !ig!ag:
-et "critical change" parameter to %.'H (this is the minimum height for a !ig!ag wing. In our e#ample, it corresponds to
8ere is the composite diagram for these settings:
/1cti.e )ones/ e8planation: 0rom %&' to **+, we found
0or these settings, the program will look for all days when price changes at least for +H (within a day range of the 83 price bar4 otherwise, it compares todayAs price and the price one day before). The minimum change is +H. The diagram follows (this is the annual cycle, or -un-un, composite):
The region between 3ibra and ries is marked by the yellow bar. This time period corresponds appro#imately to the interval from the end of -eptember to the end of $arch. ;e can see that strong move points are located more often in this region. In other words, from ctober to $arch, the crude oil price makes more strong movements (may be because it is a cold period in the 9orthern hemisphere...). /1cti.e )ones/ histo&ram: If we analy!e the longterm data series, it might be impossible to see all related lines. 3ook at this diagram4 these are turning points for owEones inde# from %&** to **+, minimal change +H:
;e cannot see it clearly because there are &
0or these settings, the ctive /ones 8istogram for the annual cycle (-un-un) will look like this:
The brighter red !ones correspond to the areas where turning points happen more often. 0or e#ample, such a !one corresponds to the period starting from the end of -eptember till the beginning of 9ovember. In other words, the very strong possibility e#ists that there might be trend changes at this period, especially for bottom turning points.-ome useful statistics options for this feature can be found in the "ptions" tab:
No to the "-tatistics" page:
;e have hi s7J.G, which corresponds to the probability of '&H. Outting it in a different way, we can accept this fact as a true one with the probability of '&H. To be e#act, it means: ";ith probability '&H, we can assume that turning points happen more often from the end of -eptember to the beginning of 9ovember".In the "-tatistics" window, we recommend you to keep the parameters for minimal sample si!e and the amount of the control groups as they are and change the "ritical hi -7" option only. "redictable )ones s mentioned before, the main idea behind the predictable !ones is to calculate the composite for a few independent intervals and see how the pro5ection line is changing in respect to each interval. 0or this program, we have applied and developed special math methods that will calculate these !ones very fast. It is this "know how" of ours that makes this program so advanced. =efore any discussion, some useful options should be e#plained:
5plit on 98 inter.als option allows specifying the number of independent intervals to use. The greater amount of independent intervals, the more narrow predictable intervals are (however, these intervals are more reliable). d5ust this parameter according to the data length for your analysis. Calculate: if you do not need to use predicable !ones, you can disable this option. The program will then calculate the composites significantly faster. "ro#ection: if this option is activated, the program uses predictable !ones to make pro5ection curves. s an e#ample, here is the pro5ection curve based on $oon phases cycle for crude oil:
8owever, as we have mentioned above, the $oon phases give the best forecast around the 0ull $oon. heck the "Oro5ection" option, and you will get this picture:
This diagram shows a part of the pro5ection curve around the 0ull $oon. ther points are simply skipped. Be careful using this option, especially for the omposite =o# (when we combine many cycles). It is very difficult to distinguish between the true price gap and the area within the end of the previous predictable !one and the beginning of the ne#t one. The predictable !ones are displayed in the bottom part of the diagram:
=right red regions correspond to predictable !ones, gray ones to unpredictable. 8ere you can specify what kind of the diagram you would like to see. "-plit" allows displaying of the composite diagrams calculated on different independent intervals. "-ummary" corresponds to the composite diagram (colored one) calculated for all price points of the optimi!ing (red) interval. =y the way, when the predictable !one is significant, the program displays this:
Composite ,o8: Forecast based on Composites fter finishing the analysis of different planetary pairs, you can put them in a special place called the "omposite =o#". It is easy to work with the omposite =o#. 3etAs say that, while analy!ing some set of data, we have found that the annual cycle is important4 save this cycle by clicking on this button:
. 0urther research shows that the $oon phase cycle is also important4 put this cycle into "omposite =o#" as well: . 9ow, let us see how these cycles work together, what pro5ection line might be produced by these two cycles. lick on this button:
, and you will go to this window:
8ere the black line is the summary curve it shows the summary influence of two cycles: the annual cycle and the $oon phase cycle. ;e can magnify any part of this diagram dragging the mouse. It is also possible to save this model into a file and download it in the future. The program allows to manipulate by composite pairs: delete any term, delete several unchecked terms, clear model (i.e., delete all terms), rate these terms by weights, downloadKsave the model, and put this model into the clipboard ("Pl" button). ;hen the model is saved into the clipboard, it is saved in Q32 format (the format of Qniversal 3anguage of 2vents). fter that, the model is available for the process of creating a forecast based on 9eural 9et (99) technology. To create the inputs for 99, click on this button: (the program will take the model out of the clipboard).In this window, you can see how the pro5ection curve (a black line) fits the analy!ed price inde#:
ou can specify any inde# to be used to calculate the correlation (to do it, click on the "2dit" button). Olease pay attention to the time interval used to calculate correlation (see details in the section "%efinitions" of the documentation). Composite 4eport
;hile working with the users of other programs for stock and commodities market analysis, our e#perience reveal that sometimes it is difficult (especially for novices) to make a decision as to what cycle is important and what is not important. To make this choice easier, in Timing Solution we provide a special procedure. This procedure allows doing this automatically. The program compares cycles and produces a report that is helpful in making this decision.
lick on the button
. ou will go to this dialog bo#:
8ere, in this window, define parameters of the report. 4eport Options: /1ction/: -pecify here what you would like to do with this report. ou can create the report, save it as R.htm file and later put it on the Internet (as an e#ample, onto your web page or email it to your friendsKclients), or you can choose to not create any report at all. /Comments/: heck this option if you would like to get our hints about how to use this report better. /1cti.e )ones/ and /"redictable )ones/: These options allow you to specify the information regarding these !ones. 0or e#ample, for "ctive /ones", it is possible to provide the statistical information. 0imin& Model Options: ou can use this report as a tool to create forecasting models. /1dd to Composite ,o8/: If you check this option, the program puts the important cycles into the "omposite =o#", and the summary curve can be used for forecasting. /Create F1M model/: llows to convert the model based on planetary cycles to Q32 format (R.hyp files) or to put this model into the clipboard (Clipboard option). 3ater you can use this model as inputs for the 9eural 9et forecasting model. The technology of creating such a forecast is described in "Timing -olutions" module. (0$ model stands for 0loating ngle $odel4 it is the planetary cycle model converted into Q32 format).
These are parameters for the 0$ model. 0irst of "arameters of F1M model all, a few words about what actually the 0$ model is. Its purpose is to e#plore the active points of the /odiac. The "rb" parameter indicates the thoroughness of this e#ploration. In other words, if there isKare any active pointKs within the orbAs limits, the program will use this area as one input for the 9eural 9et. Thus, if the program chooses ' composites as the important ones, the number of the 99 inputs is more than G** (GG*, to be e#act4 it depends on "rb" and D0 values). The bigger rb makes this modelAs diagram smoother, but some details might be skipped (when it is too smooth). The D0 parameter defines the ability of this model to see details: the smaller D0, the more details this
model can see. 8owever, the 9eural 9et will contain more inputs for smaller D0, and it can cause the over training effect. -o, it is necessary to find a balance between the resolution of this model andovertraining.One practical recommendation for creating FAM model : If, while creating the 0$ model, you get too many events for the 9eural 9et (like .*** inputs), the 9eural 9et will be training too long. In this case, we recommend increasing the Orb parameter (for e#ample, make it %G degrees). lso you can try different Filter criteria (see below). Filters Options: This is a very important option that allows defining the criterion in regards to the composite cycle (we can specify this cycle as an important or nonimportant). /Min umber of Cycles/: 8ere you can specify what composites you take into account. It shows the minimum number of cycles to be analy!ed to create a composite, regarding the analy!ed data. 0or e#ample, we analy!e the annual cycle4 this period should be at least years, otherwise we have not enough information to reveal this cycle. /Filter/ There are several criteria to estimate the degree of importance for each cycle. These criteria are defined by 0ilter setting. The program will choose the composites that correspond to the filter. The illustration shows three of them. %) The first one is used as the default option:.
It means that two conditions are applied to the composite: a) This composite should be predictable4 in other words, it should show the same price movement on the independent time interval 1% 10 02 51M 0M b) This composite should show a positive correlation between the pro5ection curve and normali!ed price on = interval (a positive correlation means that the pro5ection line fits well to the price line). The correlation between the target (which is the price or price oscillator) and the pro5ection line provided by this composite is calculated on this interval: ) This filter is based on another criterion:
This filter allows us to choose the composites that are produced within ctive /ones (/) only. In other words, we can choose (for e#ample) the composites that are related to the turning points, and active !ones will show some areas where the turning points happen more often. ;e recommend using these criteria if you create the model to predict turning points. -ee the e#planation for ctive /ones (/). ) ne more filter:
Qnder these criteria, the program will choose only predictable composites, i.e. those composites that provide the same diagram on different time intervals. -ee the e#planation for Oredictable /ones (O/). In other words, this type of composites means that the planetary pair produces the same effect on the market no matter what time intervals are used. ll other variants are different logical combinations of the variants described above. 3ike this:
;e recommend you to play with different criteria. )odiacs: In this section, you can specify the parameters of cycles used for the analysis: /1n&le %ifference/: The program analy!es composites for planets4 when you check this option, it will analy!e the composites for the angle between planets as well. /Middle "oints/: heck this option to create the composites for middle points. lso, you can specify different types of /odiacs and 8armonics. ;hile producing the calculations, the program "Timing Solution" analy!es hundreds of astronomical cycles and shows you the most important ones. The results of the calculation look like this:
s an e#ample, the program has found F important cycles. This is for crude oil data, %&'**+. This feature of the program saves you a lot of time.
Composite Module - 8amples 0he followin& e8amples are based on +uestions asked by users and friends of the pro&ram< o
o
0he stron&est price mo.ements had happened when =upiter came throu&h the first part of )odiac !from 1ries up to $ibra7 but when =upiter came throu&h the second part of )odiac the stron& price mo.ements were seldom< 2ow to .erify this obser.ation> %oin& the historical research for %= inde8 ha.e found that it chan&es the trend more often when the middle point between =upiter and 5aturn &oes throu&h these points of )odiac: ?@AB' @AB' A?@AB' <<< ?@AB' D 8 E@< 2ow to .erify this statement>
o
0he stron&est price mo.ements had happened when =upiter came throu&h the first part of )odiac !from 1ries up to $ibra7 but when =upiter came throu&h the second part of )odiac the stron& price mo.ements were seldom< 2ow to .erify this obser.ation>
ownload the EI inde# from %&** to 9ovember **+. Mun the stronomy (omposite) module and set options as it is shown in this picture:
;e will work with the "ctive /ones (/)" area. -etting the parameters as above will start the analysis for the strong QpKown points while the minimum price change is FH. The program has found such points during %*+ years of available price history. The red and blue stripes correspond to the strong up (red) and down (blue) movements regarding the Eupiter position.This diagram shows that * from stripes are located in ries 3ibra area. -o, this observation is a true one Timing Solution allows analy!ing more complicated combinations. 0or e#ample, we can analy!e 9T 33 points, but only those that have occurred at some special moments of time. 3ike to analy!e the upKdown points that occur during the fall only. lick on this button ("onte#t"):
: and fill in this form:
The program will analy!e the upKdown points that happen while the -un is in 1irgo, 3ibra or -corpio. It is possible to analy!e price movements in regards to any planet being retrograde as well as many other things. Try all options on the tabs in the middle of this window.
%oin& the historical research for %= inde8 ha.e found that it chan&es the trend more often when the middle point between =upiter and 5aturn &oes throu&h these points of )odiac: ?@AB' @AB' A?@AB' <<< ?@AB' D 8 E@< 2ow to .erify this statement>
ownload the EI from %&'* to 9ovember **+. Mun the stronomy (omposite) module and set options as it is shown in this picture:
o not forget to click on this button:
because we analy!e middle points now (not the angle
between planets). Then choose this option: , because we will study turning points now (not big upKdown points). 9e#t step is to specify what we understand under "topKbottom turning points". lick on the "/ig!ag ptions" button to define the parameters of !ig!ag to calculate topKbottom points:
3et the minimum wing for this !ig!ag be %*H.
The last step is to uncheck this option:
This is the result of calculation:
The program has found < turning points for + years of available price history. I marked the ?@AB' point. The red stripes correspond to the top turning points, while the blue ones correspond to the bottoms. The turning points are located evenly within the whole B@-E@ area. -o, the available data do not confirm the assumption. If you analy!e the longer time period of data or smaller !ig!ag wings, the result may look like this:
This is TopK=ottom diagram for EI %&****+. The !ig!ag wing is H, and there are %& turning points within the analy!ed period. The diagram reveals that 3ibra -corpio is the active !one (the turning points happen often here), while 3eo is not the active period.
Composite - ntroduction The effect of astronomical cycles on the stock market is the most enigmatic phenomenon that I know. It is enigmatic in many ways. 0irst of all, my %* years research of financial data definitely shows that the most reliable pro5ection line is provided by astronomical models. nd this is the enigma for the scientific community: they cannot accept this and they cannot prove that there is no such influence. This is enigmatic for astrological community as well because very often the statements of classical astrology do not work while being applied to real financial data. -o I think that the best way is to study these phenomena without any preliminary assumptions and any pre5udice, to study them as they are.
This is what we will do now study astro cycles. ;e start this study with the most familiar astro cycle nnual cycle. The annual cycle is formed by the -un passing through all signs of /odiac. This cycle was well known to humans for thousands of years. ctually, we use it to measure the time. 3et us look how the annual cycle may be applied to financial data analysis. ownload ow Eones Industrial data from %''G to the year **<. To reveal nnual cycle, click "stronomy" button. ou will get this picture:
This diagram shows how EI changes when the -un goes through different signs of /odiac. ou see here that sometimes the value of EI is very high, while for some other periods it is very low. This is the solar breath of the stock market, and its rhythm is caused by the movement of the -un. This diagram allows to make some conclusion regarding EI movement in respect to the -unAs position:
0rom the end of pril to the end of Eune, the price usually goes down. 0rom the end of Eune to the end of ugust, we see the up trend followed by short though strong -eptember correction etc. The picture above is a "planetary portrait" of ow inde#, or, more precisely, its solar portrait. 8owever, for practical needs, we are more interested in the information on real price movement in time. ou can find it on the $ain screen: look at it now to see how this nnual cycle appears in time:
This cycle is 5ust one of many possible cycles. ;e can create composites for every planet and compare these cycles to the actual price movements. Olus we can consider more complicated (and more interesting) cycles, like cycles of the mutual movement for two different planets. 0or e#ample, one important cycle for EI is Eupiter -aturn cycle. Its period is * years. Therefore, having %* years of EI historical data, we can try to determine the effect of this cycle on EI behavior. To do that, set these options in "Terms":
8ere you can see the EI movement ( a#is) in respect to the angle between Eupiter and -aturn (D a#is). This is Eupiter-aturn portrait of EI:
ou can select four ma5or periods on this diagram. Oeriod S% the angle between Eupiter-aturn is G*deg&*deg4 the market is growing during this period. Oeriod S the angle reaches &* degrees (s7uare aspect)4 the market changes the trend and follows the downtrend tendency. It reaches the bottom on %'* degrees. Oeriod S the angle is *F* degrees providing the EI more opportunity to grow. The peak is reached at F* degrees (another s7uare aspect). Oeriod S+ F*%* degrees4 a fast downward movement. This techni7ue gives us a general outlook of this cycle. The most important conclusion here is that this * years cycle e#ists. 8owever, if you truly decide to make a forecast based on astrocycles, you need to consider other cycles as well and then pick up the most important cycles only. This issue will be discussed in the ne#t lesson. 9ow, some technical notes regarding omposite diagram: naly!ing any astro cycle, always keep in mind the period of the analy!ed cycle. The program displays this information here:
ou see here the period (%&.& years) of the analy!ed cycle and a number of cycles considered (in our e#ample, we use <.%% full Eupiter-aturn cycles). Oay attention you can analy!e many !odiacs here:
If you research the long term cycles (like Eupiter-aturn * years cycle), maybe it makes sense using 8eliocentric !odiac. Neocentric !odiac causes many irregularities due to the annual retrograde motion. lso I highly recommend to apply Ohase /odiac:
I have found that practically all financial instruments are affected at least by one phase cycle. I recommend using single planets phase cycles, like $oon phases
, $ercury phases
etc.
I believe that this table of periods for planetary phases is very useful, you may would like to remember it: Olanet