Page 6. The sixth page describes the solar ancient Egyptian calendar which is a source of modern calendars, but is a cyclic calendar with the variable beginning of year. And also describes the lunar cyclic calendar which in connection with the solar calendar forms a magic square of numerological numbers.

Cyclic calendars in numerology.Periodic recurrences of numerological numbers.

In ancient Egypt there was a calendar in which year is divided into 12 months for 30 days in everyone, but at the end of one year added 5 additional days which allowed to equate quantity of days to 365 that correspond with a solar cycle. The Egyptian priests knew that the valid duration of a solar cycle is 365,25 days and within 4 years the beginning of year is displaced for 1 day but refused introduction of leap-years regardless of the fact that their calendar was inexact.
The system of leap years was applied in the Julian calendar which was established when Egypt became a part of Roman empire.
At the introduction on a throne priests and pharaohs swore about an invariance of the calendar. Their decision was caused by strict mathematical and numerological system which consist in the calendar. Namely duration of year was divided into 36 decades (duration ten days everyone) and divided into 73 pentads (duration five days everyone), and as a result duration of year was 365 days but 36 decades and 72 pentads correspond with 360 days, and 1 pentad concerned to 5 days at the end of one year and considered additional, that is shown in the table:

 Five additional days (epagomenal days) are shown in the table by the dark triangle, i.e. to the dark triangle in the calendar circle there correspond five additional days of year, and other sectors of a calendar circle correspond to 360 days of year. The internal scope is designated by a fat circle and divided into 36 decades, and the external scope includes nine circles and is divided into 73 pentads. External and internal scopes are divided into 12 signs of the zodiac (sectors of the calendar circle) and each sign of the zodiac includes 3 decades and 6 pentads. Decades are equivalent to Decans about whom it is told on the previous pages of this site section, but decades have no concrete binding to the star sky, i.e. the shown calendar is symbolical and consequently can be connected to any astronomical points of the sky. Signs of the zodiac within the framework of the shown calendar circle too have a conditional ratio with the star sky.

The beginning of year in ancient Egypt was connected to rising of Sirius (Sothis) above horizon that corresponded to the beginning of astronomical year according to which measured the periods of agricultural activity and seasons of year, but calendar year in each four years was late for one day and as a result the calendar circle of priests designated days which during millennia were displaced concerning astronomical year and seasonal changes of a nature. Namely decades and pentads of the shown calendar circle correspond with different days of an astronomical calendar and consequently it is possible to assert that the cyclic ancient Egyptian calendar had other purpose rather than measurement of real time, and was used for measurement of other chronological cycles rather than measurement of real solar movement. It proves to be true the fact that priests and pharaohs did not change a calendar but kept the symbolical calendar, and for measurement of real time used supervision of Sirius' risings and in particular used the diagonal table of Decans which is shown on the previous pages.
In essence the cyclic calendar of ancient Egypt is a numerological calendar, that it is possible to see in the shown calendar table. Namely decades and pentads correspond with numerological numbers, and at imposing pentads on decades form double combinations of numbers that allows to describe days of symbolical year from the point of view of numerical values in numerology.
Nine external circles in the shown calendar table symbolize the period with duration of 9 years and each circle symbolizes 1 year. Each year includes 73 five-day periods (73 pentads). Due to five additional days at the end of each year the ratio of numerological numbers with pentads cyclically changes and repeats in 9 years on 10th year. Namely double combinations of numerological numbers are formed of numbers which correspond with decades and pentads but for an additional pentad there is no appropriate decade number and consequently combinations of numbers periodically change during 9 years that forms the nine-year numerological cycle which was kept by priests of ancient Egypt.
The detailed information on the cyclic (periodic) ancient Egyptian calendar look in other sources of information/
In modern numerology the cyclic Egyptian calendar can be applied alongside with the Gregorian calendar, but for use of the ancient Egyptian calendar it is necessary to correlate its any point with any calendar date. In ancient Egypt the rising of Sirius above horizon in 4241st year up to AD was an starting-point, namely in 4241st year up to new era the Egyptian priests have compared the symbolical calendar to real movement of the sun and after that kept a cyclic principle of measurement of time. The following concurrence of Sirius' rising to the symbolical cyclic calendar has taken place in 2782nd year up to new era and so on in 1460 there was a concurrence. Therefore for synchronization of the ancient Egyptian cyclic calendar with a modern calendar it is necessary to count quantity of 1460 year-periods (Sirius-Sothic cycles) and to find year of the next concurrence provided that Sothic periods equal to 1461 Julian years. Then it is necessary to compare the dark triangle in the shown calendar table to five days before rising of Sirius and then to count days counter-clockwise according to traditional calculation of time in an astrology. Or it is possible to compare the shown calendar table to the summer solstice that depends on an essence of questions which it is necessary to solve by means of numerological descriptions of time movement. I do not bring concrete synchronization as it not expediently and can be interesting only in the event that it is necessary to understand logic of outlook of the Egyptian priests and to understand logic of periodic recurrences of numerological numbers in interrelation with movement of heavenly bodies, but in modern numerology it is possible to use the Gregorian calendar.
It is necessary to tell that in ancient Egypt did not represent the cyclic solar calendar as any tables but in essence shown table of a solar calendar is analogue of the Egyptian calendar.

One of possible methods of application of the shown calendar table consists that the dark triangle is necessary for comparing to five days before date of birth, and then during human life to count days according to the five-day and ten-day periods. I.e. the cyclic calendar allows to describe various chronological cycles and including allows to describe cycles of life, and use of this cyclic calendar allows to describe days by means of double combinations of numerological numbers that is comparable to the Chinese calendar Tai Xuan Jing in which tritetragrams are similar to double combinations of numbers. But in the calendar Tai Xuan Jing the tritetragrams correspond to half of days, and in the ancient Egyptian calendar the double combinations of numbers correspond to the five-day periods.
Or it is possible to use the shown calendar table for numerological predictions and forecasts by means of fortunetelling magic cards with numbers which are shown in the PDF file ochcen.pdf.
Except for a solar calendar in ancient Egypt there was a lunar calendar. And there was a legend that once duration of solar year was equal to duration of lunar year, namely duration of a solar annual cycle was 360 days and duration of a lunar annual cycle was 360 days. But owing to dispute of gods 5 days were taken from the moon and given to the sun then duration of solar year began 365 days and duration of lunar year began 355 days.
The lunar cyclic calendar differs from the solar cyclic calendar agrees to different quantity of days in lunar and solar annual cycles that is shown in the following calendar table:

 Dark sectors of the shown calendar circle designate a difference of lunar year in comparison with solar year, i.e. two dark sectors are equal to two pentads and in a result lunar year is shorter than solar year for 10 days. In the rest the shown lunar cyclic calendar is similar to the solar calendar which is shown in the previous table. Namely the internal scope is divided into decades and the external scope includes nine circles and is divided into pentads. External and internal scopes are divided into 12 sectors, and each sector includes 3 decades and 6 pentads to which correspond numerological numbers. Within the framework of nine external circles the numerological numbers have different ratio with numbers of the internal scope, i.e. ratio of decades with pentads periodically change during 9 years that forms the nine-year cycle which is symbolized with nine circles of the external scope.

Numbers in the table of lunar cyclic calendar periodically change and form spirals which develop clockwise, but in the table of solar cyclic calendar the numbers periodically change and form spirals which develop counter-clockwise. Different directions of structures of solar and lunar calendar cycles form a key principle according to which movements of heavenly bodies correspond with laws of mathematics and laws of numerology. Namely if to combine the solar calendar circle with lunar calendar circle then the magic square is formed i.e. if in red sectors numbers of the solar calendar are written and in green sectors numbers of the lunar calendar are written then the combined lunar-solar calendar circle turns out which has surprising numerological characteristics and including comprises structure of a magic square that is shown in the following two tables:

At the left one quarter of the combined lunar-solar calendar circle is shown. Other quarters are not shown as are similar for the shown quarter.
In green sectors the numerological numbers of the lunar cyclic calendar are written, and in red sectors the numerological numbers of the solar cyclic calendar are written provided that numbers are taken from two previous calendar tables which are shown on this page.
If to connect numbers of the lunar calendar to numbers of the solar calendar then the magic square is formed, which is shown in the right table. Namely if to exclude division of calendar circles into pentads then within the framework of decades the lunar and solar numbers are united, and form the dual combinations of numerological numbers that forms the magic square. For habitual recognition in the right bottom corner the usual kind of the magic square is shown but the magic square is received by connection of numbers from lunar and solar calendars.
From the point of view of time movement the shown magic square corresponds with one quarter of the calendar circle and consequently indicates time scales which are comparable to one quarter of year but provided that year is a piece of the nine-year cycle.
That by means of the magic square to measure various time scales which do not depend on the nine-year cycle and days of any year within the limits of the nine-year cycle, it is necessary to make transformation which consists that numbers of the lunar calendar settle down in the magic square in horizontal sequences and numbers of the solar calendar settle down in vertical sequences that is shown in the following tables:

 The shown transformation in essence is transformation of the calendar circle to the square, or otherwise it is possible to tell that this transformation is the decision of a circle quadrature.

Apparently in tables, the magic square is formed of double combinations of numerological numbers in which the left numbers are lunar and the right numbers are solar. Red and green colors of arrows mean that the sequence of numbers is taken from the lunar-solar calendar circle which is shown in the previous table where red sectors correspond to numbers of the solar cycle and green sectors correspond to numbers of the lunar cycle. Directions of arrows specify sequences which numbers have in the calendar.
The transformed magic square allows to measure time irrespectively from real movement of time and without connection with concrete calendars, namely allows to consider time as an abstract philosophical category and to define any necessary parameters of time. And also the transformed magic square allows to consider any other phenomena of world around as from the philosophical point of view in magic square the crossing of "global vectors" is made, and in essence in magic square the crossing of time and space, matter and energy, movement and life is made.
Excuse for a vague explanation of essence of the magic square, and methods of its application for descriptions of the world phenomena, but in essence the magic square is quintessence of mathematics, philosophy, astronomy, psychology and many other scientific disciplines, and consequently can have many various explanations which fall outside the limits only numerology.
The PDF file ochcen.pdf represents the magic board on which numbers are written according to numbers of the shown magic square, and also the PDF file represents numerical cards which it is possible to have on squares of the board and to analyze laws of numbers that allows to see and realize laws of the world from the point of view of numerical laws. And also the PDF file represents rules of numerological predictions and forecasts in which numerical laws are shown.

The following page represents one more calendar which existed in the ancient world and can be applied for calculations in numerology.

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