The fields of ancient Greece were organised in a familiar way: strips of land in which a plough could prepare land for arable planting. Known in various languages as furlong https://en.wikipedia.org/wiki/Furlong, *runrig*, *journel*, *machen* etc, in Greece there was a nominal length for arable strips which came to be associated with the metrological unit of 600 feet called a *stadia*. The length of foot used was systematically varied from the foot we use today, using highly disciplined variations (called modules); each module a numeric ratio of the Greek module, whose root foot was the English foot [Neal, 2000]. These modules are found employed throughout the ancient world, lengthening or reducing lengths such as the *stadia*, to suit geometrical problems; such as the division of land into fields (figure 1).

## Further Ratios of the Outer Planets to the Lunar Year

The traditional way to express the Harmony of the Spheres is geometrically, despite the fact that geometrical knowledge of the *heliocentric *planetary system was not available to Pythagoras who, for the West, first established this whole idea – that the planets were part of a system expressing harmony.

The opening picture is from Kepler’s *Harmonices Mundi *:

from a scan made of the Smithsonian’s copy,

made available on Wikipedia as in the public domain.

In my own work, on the type of ancient astronomy based upon time and not space, I find it to be the outer planets in particular which express harmony in their *geocentric *synods relative to the lunar year. This applies to Jupiter, Saturn and Uranus but Neptune expresses a rational fraction of 28/27 involving prime numbers {2 3 **7**} whilst the other three planets only involve ratios involving primes {2 3 5}. The harmony of the outer planets has been a strong source for the sacred numbers found in ancient texts, as with Jupiter 1080 – considered a lunar number perhaps because the Moon is resonant to Jupiter – who is shown by figure 1 to be *geocentrically *resonant to the other planets and the Moon.

## Fibonacci in Jupiter’s 12-fold Heaven

The Fibonacci series is an ideal pattern, widely found within living systems, in which the present magnitude or location of something is the product of two previous magnitudes or locations of it. The next magnitude will again be the sum of the last two magnitudes in what is, an algorithmic pattern producing approximation to the Golden Mean (designated by the Greek letter φ,’phi’). As the series gets larger, the ratio (or proportion) between successive magnitudes will better approximate the irrational value of φ = 1.618033 … – which has an unlimited fractional part whilst the virtue of the Fibonacci numbers within the Series is that they are integers forming rational fractions.

Continue reading “Fibonacci in Jupiter’s 12-fold Heaven”## The Avebury Square within it’s Southern Circle

Soil resistance work (“geophys”), by archaeologists from the University of Leicester, of the land inside the southern stone circle of Avebury Henge, has revealed more about the Obelisk and lines of standing stones, which appear to have formed a near-square rectangle. Information can be hard to obtain when work is yet to be published but a press release to the Guardian and others many months ago (December 27th 2019) enabled figures from a media set to be viewed with public access. This has enabled me to so some site interpretation, using the (as-yet damned) numerical technique called ancient metrology. My results are fascinating and build upon the megalithic use of counting time as length to track important time-cycles such as the Nodal Period of 6800 days, between lunar maxima and minima, and the Metonic period of both 19 years and 235 lunar months, within which all of the varied orientations of Sun Moon and Sky are recycled.

Continue reading “The Avebury Square within it’s Southern Circle”## Use of Ad-Quadratum at Angkor Wat

Ad Quadratum is a convenient and profound technique in which continuous scaling of size can be given to square shapes, either from a centre or periphery. The differences in scale are multiples of the square root

of two [sqrt(2)] between two types of square: cardinal (flat) and diamond (pointed).

## Silbury Hill: Metrological Key to the Model of the Earth between Stonehenge & Avebury

#### Archived: **11 August 2012**

The exact location of Silbury Hill is as mysterious as the purpose of the Hill itself, a thirty degree cone, only recently with a flat top, overlooking Avebury and the surrounding hills. The Hill figures in **John Michell’s model of the Earth between Stonehenge and Avebury** in which one quarter of a degree of latitude, between the two henges, appears to have been measured by a type of Persian foot so as to make the number of feet, in between, equal numerically to that required to perfectly model the Earth using 864:866:867 double triangle.

There are **86400 Persian feet** of 1.056 feet (south to north) between Stonehenge and Avebury Ridgeway enabling the Avebury henge to be 86600 of these Persian feet from Stonehenge, then to represent the Mean Earth radius (see Initial Article – *missing link*). The Avebury henge appears to have been specifically tied to the distinct Latitude of 360/7 degrees.