## 610 Constellation Sized Scale of The Zodiacal Belt

In principle, the structure of the Egyptian zodiacs do not permit to indicate the positions of planets with high accuracy. All the analyzed by us horoscopes on the Egyptian zodiacs were merely approximative descriptions of the planetary locations with respect to the zodiacal figures.

However, in order to carry out the astronomical computations, for each of the planets we need to set up, using the ecliptic longitude measured in degrees, the intervals of its possible locations. It is difficult, just by looking on an Egyptian zodiac, to indicate in degrees its approximate location. Indeed, there is no scale or other numerical indicators on a zodiac, which could help us with this task. There are only pictures. Therefore, in order to express the planetary locations in degrees, it would be necessary to make several simple (albeit annoying) calculations.

To avoid these complications, we wrote the program Horos in such a way that the locations of the planets are specified with respect to the constellation-sized scale of the zodiacal belt, instead of degrees of latitude. This scale allows us to determine the planetary positions directly from the Egyptian zodiac, where we can see, for example, that a planetary figure is shown in Virgo or in the first half of Libra, which is next to Virgo, or that if this planet is located in Aries, probably on its boundary, possibly even in the next constellations, but not further from Aries than 1/3 of its length.

Let us recall that in relation to the decoding of zodiacs, in order to avoid losing the correct solution, we agreed to enlarge the boundaries of the interval for possible planetary locations. As the results of this enlargement, the obtained in this way incorrect solutions were rejected anyway because of their incompatibility with the partial horoscopes. However, this enlargement resulted in the intervals of admissible planetary positions of the type: half of Aquarius, Capricorn, and half of Sagittarius, etc.

Therefore, we chose the following scale:

(1) We divide the ecliptic J2000 into 12 non-equal parts, where each of these parts corresponds to one zodiacal constellation. The boundary points for this partition were discussed in section 6.4.

(2) We denote using the integers from 0 to 12 (see Figure 6.4) the points of this partition, dividing the ecliptic into sectors occupied by the zodiacal constellations. In this way we obtain on the ecliptic J2000 a nonuniform scale. We "close" this scale by putting 12 = 0, what is dictated by the fact that the ecliptic is a circle, where the points 0 and 12 are identified.

In this way, to every zodiacal constellation corresponds an interval of the length one. However, the real lengths of these unit intervals are different and equal to the actual lengths of the zodiacal constellations.

Consequently, we have the following constellation-sized scale on the ecliptic J2000:

<0> ARIES <1> TAUR <2> GEMINI <3> CANCER <4> LEO <5> VIRGO <6> LIBRA <7> SCORP <8> SAGIT <9> CAPRI <10> AQUAR <11> PISCES <12=0>

Now, when describing the planetary locations on the Egyptian zodiacs, we will be indicating the corresponding points on the ecliptic using not degrees, but the above constellation-sized scale. For example, the coordinate 1.5 will correspond to the middle point of the constellation Taurus, or more precisely the point on the ecliptic J2000 with the latitude 70o. The point 13.5 will correspond to exactly the same point, because this scale is cyclic with period 12, so 13.5 — 12 = 1.5.

This constellation-sized scale will be used to specify the horoscopes decoded from the Egyptian zodiacs as the input for the program Horos. For example, using this scale the interval half of Aquarius, Capricorn, and half of Sagittarius will be simply the interval from 8.5 (the middle of Sagittarius) to 10.5 (the middle of Aquarius).

Since the constellation-sized scale is cyclic, the beginning of the interval can be smaller than its end. In this way, the interval (11.5, 0.33) denotes the sector: from the middle of Pisces to the first one-third of Aries.

We will use the constellation-sized scale to specify for each planet the range of all its admissible positions, which will be an interval showing all its possible positions according to the information retrieved from the Egyptian zodiac.

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