Sacred Number

To discover this requires a focussed attention on celestial coincidences.

Some of these can now be found in my books, Matrix of Creation and Sacred Number and others in those of Robin Heath (Sun, Moon and Stonehenge, and his subsequent wooden books such as Sun Moon and Earth) and John Martineau (Little Book of Coincidence). Such direct observations of cosmic order patterned by number are complemented by the indirect sources of ancient numerical knowledge, accessible in the many works of John Michell (The Dimensions of Paradise) and the recovery of Ancient Metrology with John Neal (All Done With Mirrors).

The connections between direct cosmic knowing and what we inherited from the ancient world has naturally defined, in the last 50-100 years, a new subject or “protoscience”, which some unfairly call a “pseudoscience”! I have sought to bring these streams together with the third possibility that the natural form of knowledge for human kind was numerically based and not technological. This reveals a drama with respect to history itself, almost to the extent that written history marks a watershed in the loss of the numerical knowledge.

One of the strongest manifestations of direct numerical structure in our planetary environment involves Jupiter, our Moon and the solar year (hence the Sun, the Earth and even its rotation). The main actors are the following time periods and constants:

• Jupiter's, synodic period of 398.88 days [J_syn] and sidereal orbit of (10.858 +1) years [J_sid]

• The Moon's lunation of 29.53059 days [LUN] and Metonic Period of 19 SY [MP], in which the configuration of Sun, Moon and stars are closely repeated.

• The Solar Year, of 365.2422 [SY] days and 12.368 lunations [SY / LUN]

• e, the exponential constant = 2.718, and its square e² = 7.389

The strange relationships implicit in these are:

1. J_syn x 4 x 19 = 83 SY

2. 4 x 19 [Metonic periods] = 76 SY

3. e² is very close to LUN/4 [e would then be 2.717]

4. J_sid = SY/33,638 [10.858] +1 and 10.858 = 4 x e [where e is 2.715]

These numerical relationships are held together as if by numerical artifice, based upon the clustering of certain relationships within the domain of number itself, that is by properties within the number field itself.

Obviously, 1 and 2 above mean that J_syn/SY = 83/76 to a very high accuracy, varying by just one part in 136,000. Since the Metonic repeats four times in 76 years, then J_syn must automatically be resonant with it as 83/76. But the Jupiter synod of 398.88 days would have “reason” to be (a) just and exactly 83/76, (b) an integer (rational) fraction and have (c) 19 within its denominator as a factor.

We can discover the relative motions of Sun and Jupiter from the fact that there are 365.2422 DAYS in angle within the full year circle whilst in a Jupiter synod, the planet has moved 33.637 days. As in 4 above then, the Jupiter sidereal period is the time taken for Jupiter to traverse the year circle, 365.2422/33.638 = 10.858 plus one because Jupiter has gone one extra orbit over those enacted by the Earth's orbit within the sidereal period of Jupiter.

If 10.858 is close to 4 times e, the exponential constant, we can also note that 33.638 = 12.358 times e so that:

4e = SY/(12.368 * e) and since SY/12.368 = LUN, then the relationship LUN/4 = e² results in close approximation.

From this we can deduce that the exponential constant e “rules” the relationship between Jupiter and the Moon through the mediation of the solar year as a common denominator. This was well expressed towards the end of Matrix of Creation as figure 9.5 (left), where Jupiter is shown to have “captured” the Moon within its harmonic behaviour involving a whole tone of 8:9.

Whilst you could argue that the actual numbers don't matter (only the proportions), this soon appears wrong. The 12.368 LUN per SY is closely 12 +7/19 LUN which allows the Metonic period to resolve itself in 19 years, 7/19 being close to e [as it is 2.714].

Of course (?), e is a crucial number within the cosmos which has special powers when raised to powers with the imaginary number, the square root of minus one. This is the base of imaginary numbers which have led to massive utility in understanding the primes within the number field [Riemann Hypothesis], but with e generate a fundamental mathematical model for all energy transforming systems. The fact that e appears at all means that this system of Jupiter, Moon etc, is somehow normalised to both e and 19.

The number 33.618 (close to 33.638) emerges when the intermediate hypotenuse of a Lunation triangle [see Robin Heath's work] that is 12.368 long at the 3:2 point is also 33.618 feet long if the triangle is built using the [astronomical] megalithic yard (19.008/7 or 2.7154 feet) to build the 12:13:5 triangle so as to represent one MY = one LUN.

Finally therefore, the ancient peoples of the Megalithic left us evidence (through the lunation triangle) of the relationship to e within the year and the Moon and that behind this lies Jupiter, later Zeus, the King of the Gods and hence ruler of the Earth and Moon - once Saturn-Chronos' numbers were relegated to the semitone of 15:16 and the vestigial seven day week.