- Introduction 
- The study
· From the empirical analysis of the cases to the research for the significant harmonics 
· How the study was set out 
· Results of the study 
· Addutuibal curiosal topics 
· Conclusions

Introduction: 

I have the intention to reprise the interesting study that Laura Poggiani led, based upon 31 charts of violent deceases or, like in cases of disappearance, which are believed to have followed this formality.Laura's study is based upon the ordinary distribution of planets in signs and in houses and on traditional aspects among planets, with some interesting look at the practice, at the analysis of midpoints and harmonics.

My task is to develop some aspects of traditional analysis in a more organic and deeper way; to inspect the involvements starting from the absolute harmonic aspects and the related ones to the midpoints. Furthermore, to verify the (relative) importance of these few cases, I compared the data of the 31 charts (from now on I will refer to them as to a "sample group") to a control group.



The study:

Basic data: 

Sample Group the research was made upon.

Data of comparison:

Checked Group (the Checked Group is different from the Sample Group because of position of natal Moon and Mars, which are random by the Excell function = (casual()*360)+1.

From the empirical analysis of the cases searching for significant  harmonics in the 

Sample Group we examined, we saw that Moon and Uranus tend to strongly show traditional aspects (conjunctions, oppositions, trines, squares and sextiles) more than we expected.

The diagram below shows the number of traditional and minor aspects found  inside our Sample Group. 

All traditional aspects (considering tolerance classical orbits between  aspects) are 14 out of 31 examined cases.

Here it is the same diagram compared with the Control Group (notice that  in this group the only position of the Moon was worked out again in random mode, the one of Uranus being unchanged in radix charts.) 

In this case, the overall total is considerably lesser (6 compared to 14). Another feature appearing after a little deeper exam is the presence of minor aspects, especially semisextiles with a 30° angle. The 30° angle not only represents the typical partition of zodiacal sectors, but also shows 
at least 2 more interesting features: 

· it can be considered as a "lowest common denominator" of all traditional aspects, (multiplying this angle by 2 we get, for example, the sextile, 30 x 2 = 60, by 3 the square, 30 x 3 = 90, by 4 the trine, 30 x 4 = 120, by 6 the opposition, 30 x 6 = 180, and by 12 the conjunction, 30 x 12 = 360).

· if we consider this aspect from the point of view of harmonics, it is equal to a 12^ harmonic.
The 12th harmonic thus stands out as one of the strongest ones inside this group of data. In fact it picks and represents seemingly the strength of aspects connected to Uranus in particular. In our study, though, we also kept into consideration the position of other planets that traditional 
astrology links to violent deaths, that is Mars and Saturn. 
For those aspects connected to these planets, it seems interesting to examine the influence of the 16th harmonic. The next step was to verify if those interesting results got by reading data traditionally are confirmed by the exam of 12th harmonic. In particular there is the reference to 
Uranus’ and 16th harmonic’s aspects of every kind, both the traditionally harmonic ones and the ones related to midpoints.

How the study was set out: 

Two harmonics have been analyzed:

· the 12th with 30° angles,
· the 16th with 22°30’ angles.

From the symbolic point of view, the explanation can be that they are 
strongly stressed in the analysis of these cases.

From the symbolic point of view, the 12th harmonic can be related to the typical meanings of 12th house, especially referring to those topics associated to the "end of the life".

The 16th harmonic, on the other hand, can be associated to the 8th, it is child of (8 x 2 = 16) and, by symbolic association, cosignificant of the 8th house. So it is linked to Scorpio and we noticed it often is present in cases of violent deaths.To make a simpler description of the study, we made great use of diagrams that, in our opinion, can be read more easily. However, to be read 
properly, these diagrams have to follow two simple rules revealing if a harmonic is in action:

1. A regular wave
2. Its width

A regular wave is meant to be one developing according to a scheme where the concentration of higher scores (peaks) of the wave is at the beginning, in the middle and at the end of the diagram, while the lower scores (depressions) are placed in exactly equidistant points.

The wave width is meant as the measure of its oscillation toward the meridian line (line of the expected results). The width tells how much this wave rises or lowers toward the meridian line, giving information 
about its strength.

To have a more accurate idea of the expected results if in the group of examined data there were the considered harmonics, we examine here a group of three example diagrams showing the trend of three harmonic combinations.

The first one of these harmonics we refer to as basic is a pure one and can be identified because it tends to gather wave peaks about the first and/or the last sectors of the diagram. Here is an example based upon the 12^ harmonic.

ecco un esempio basato sulla 12^ armonica.

The second one of these harmonics we refer to as the 1st level sub-harmonic derives from the basic harmonic and is equal to its double (in the case of a 12th harmonic, it will be the 24th, 12 x 2 = 24). Peaks tend to gather about the beginning, the middle and the end of the diagram, so that data concerning the central peak are configured as an opposition aspect in the basic harmonic.

Here is an example based upon this 1st level sub-harmonic.

The third of these harmonics we refer to as 2nd level sub-harmonic derives from the basic harmonic and is equal to its quadruple (in the case of the 12th harmonic, it will be the 48th, 12 x 4 = 48). Peaks tend to gather about the beginning, the middle, and at the end of the diagram and in exactly equidistant points from them, so that the data referring to intermediate peaks configurate as a square aspect in the basic harmonic.

Here is an example based upon this 2nd level sub-harmonic.

Results of the study

Since the considered data are too poor, single aspects are gathered in 2 degree sectors (for example 0 and 1 degree are gathered in the first sector, the 2nd and the 3rd degree are in the 3rd sector and so on).

The following are summing diagrams of aspects in 12th, the first diagram was calculated on the base of the sample group, the second upon the control group.

Diagram showing aspects of the 12th harmonic in the Sample Group

Diagram showing aspects of the 12th harmonic in the Control Group

Comments about diagrams

The Sample Group diagram concentrates most of the positions about the first two sectors of the diagram of 12th harmonic, with an outstanding pull-up (a score ranging from max 8 positions against the 2 expected ones random and 0 min), thus confirming this harmonic is extremely strong.
The second diagram records instead the peaks which, if compared, seem quite poor (max 5, min 0) shared out randomly.

The wave width is told by the distance of max peaks if compared to the median distance.

Are data referring to aspects Moon-Uranus confirmed also by aspects that Uranus forms with the other two planets (Mars and Saturn)? Let's have a look at diagrams summing aspects between all these planets.

Summing diagram of aspects of 12th harmonics between Uranus, Moon, Mars and Saturn in the Sample Group.

Summing diagram of aspects of 12th harmonics between Uranus, Moon, Mars and Saturn in the Control Group.

Comments to diagrams

The Sample l Group diagram, like the former one, concentrates most of the positions about the first two sectors of the diagram of 12th harmonic, with the wave peak raising up to 23 and decreases to 4, thus confirming here again the outstanding strength of this harmonic.
The second diagram instead records peaks, which if compared seem to be poor again (max 14, min 4) and, like the former one, shared out irregularly.
Now we analyze results concerning the 16th harmonic compared to aspects formed by combining radix positions and transits of all planets, considering the absolute positions and midpoints they form.

This harmonic, bringing back to the 8th of which it is child (8 x 2 = 16),as we can see, is symbolically linked to the Sign of Scorpio and to the 8th House.
To tell the study in a simpler way, we gathered in the same diagram all the relationships between Moon, Mars, Saturn, and Uranus, seeking those two simple rules revealing if there is an harmonic.

1. the regularity of the wave 
2. its width 

The first diagram shows the results concerning the Sample Group, the second one the ones concerning the Control Group.

Sample Group Diagram 

Control Group Diagram 

If we compare 16th harmonic diagrams, we can see how the sample group diagram shows a regularity and a wave width (rising up to a value of 60 and falling, on the average, to about 30, with an oscillation of 30 points) absolutely adapted to the theory of harmonics. This theory says that peaks and depressions follow each other regularly, the peaks concentrating at the beginning, in the middle and at the end of the diagram, the depressions in exactly equidistant points.

The check diagram instead shows an absolutely irregular trend (see the highlit parts) and a width ranging between 35 and 50 (with a 15 point difference). This width is exactly half the one of Sample Group.

However, these diagrams show a more even distribution of aspects with peaks concentrating mostly at the beginning of the diagram and about the 17th sector. This is true if we compare these diagrams to those of the 12th harmonic, which are related to Uranus, in which there is a strong basic harmonic.

This trend is typical of a sub-harmonic of the 16th, in this case the 64th (8 x 8 or 16 x 4).

In other words aspects concentrating around the 17th sector are equivalent to square aspects in the 16th harmonic, and become conjunctions in the 64th harmonic.

Another important consideration is about the fact that results are equal, although examined aspects are extremely different: in fact not only traditional aspects (radix and transit) between planets are considered, but also some techniques combining absolute positions and middle points (see diagram keys). This seems to suggest that planets strength is conditioned by the sum of micro-aspects which form according to an identical harmonic basic frequency (in this case the 64th). 

Additional unusual topics 

Some relationships between Moon and Uranus seemed particularly interesting. The most "speaking" aspects are the ones related to the two heroes of the so-called "Sicily springtime", Giovanni Falcone and Paolo Borsellino.

Both of them show a very tight Moon-Uranus conjunction about the same degrees of Taurus. 

The Moon-Uranus relationships of Lady Diana and Dodi Al Fayed are "speaking" as well:

Both of them show an opposition at birth between Moon and Uranus, but the two Uranus are in a very tight semisextile aspect and they can be brought back to the 12th harmonic.

Finally we consider Carettas, showing a square relationship between the Moon and Uranus positions, and also in this case the 90 degree aspect can be brought back to a 12th harmonic (30° x 3 = 90°).

Conclusions:

Although these data are very poor in numbers, they highlight some interesting elements. if these elements are confirmed by further analysis, they can build the track of a system which can find particular positions and/or potentially negative planet combinations of birth and transiting. They can also be taken into consideration to tackle with them in an effecitve way, acting in a "active" conception of astrology.

Trans. by Carmen Santarpino - All Rights Reserved