WOODHENGE TUTORIALS
The restored component positions of Woodhenge can be clearly seen in this satellite image from Google Earth. The site comprises of a central hub and then irregular concentric circles that fan out from the hub to the outer perimeter circle.
Woodhenge could be described as a beginner's circle, where students of navigation and astronomy learnt the special factorable numbers and associated mathematical progressions that described the equatorial circumference of the Earth, astronomical cycles or the calendar numbers, etc. From the centre hub position the outer markers stood away at particular distances and angles, the values of which had to be memorised. The special numbers could be extracted by both direct measurements or surveying with a simple, calibrated theodolite that gave precise degree angle readings of positions around from North. The entryway path to the site provided the true North reading and an outlying marker gave a fix on true South.
It was the job of the tutor to teach initiate students the precise, full numbers that related to each position and how to manipulate the numbers in calculations to do with positional plotting at sea, the cycles of the Moon or whatever other scientific principles were encoded by distance and angle into any outlying position. After learning rudimentary surveying techniques and factorable numbers in families of progressions on this micro-site, the students could apply and refine their skills by fixing onto more distant outer markers in the surrounding landscape and identify, by trigonometry, what numbers were associated with those positions. What was learnt "in micro" on this site was applied "in macro" to positions in the outlying landscape.
We will return later to Woodhenge and consider the intended codes of position throughout the site, but for the moment let's see how outer mounds relate by way of coded distances and angles.
Although there are several groupings or clusters of outlying mounds that relate directly to Woodhenge, we'll return to this set of field positions beside "King Barrows", which we studied earlier in relation to Bluestonehenge.
1. The distance was intended to convey 5906.25' and the azimuth angle is 52.5° return to the Woodhenge hub.
The distance contains a dynamic lunar code and the sum of 59.0625-days would be two lunar months. In the 3.4.5 triangle method by which the Khafre Pyramid (Egypt's pyramid of the Moon) was built, half the base length was 354.375' (there are 354.375-days in a lunar year), the vertical height was 472.5' (the sum of 472.5-days would be 16 lunar months), the intended-design diagonal slope distance from the base to the apex was 590.625' (in days this would equate to 20 lunar months).
TRIDRACHM (BEQA) SYSTEM (decimal fractions). | TRIDRACHM (BEQA) SYSTEM (fractions). |
1 Talent………590625 grains, equals: | 1 Talent………590625 grains, equals: |
60 Mina…….. @ 9843.75 grains, or | 60 Mina…….. @ 9843^{3}/4 grains, or |
3000 Tridrachm.. @ 196.875 grains. | 3000 Tridrachm.. @ 196^{7}/8grains. |
The angle is in homage to the value of 5.25', which was the base increment of the "6&7" measurement standard and applied to both navigational and lunar calculations simultaneously. The Greek mile was 5250' and the "short stadia" was 525'. The Hebrew reed was 10.5' or 5.25' X 2. The literal geodetic system encoded into the base dimensions of the Great Pyramid functions to the formula of an equatorial circumference of 12 X 12 X 12 X 12 X 1.2 X 5250' (24883.2-Greek miles ... based upon a system devised many thousands of years before there was an identifiable Greek civilisation). The half value of 24883.2 was 12441.6 and this number used to crop up in the Weights, Measures and Volume systems of the ancient Mediterranean.
SEPPHORIS LIQUID VOLUME (decimal fractions). | SEPPHORIS LIQUID VOLUME (fractions). |
1 Cor…….22394.88 cubic inches equals, | 1 Cor…….22394^{22}/25 cubic inches equals, |
10 Bath….2239.488 cubic inches, or | 10 Bath….2239^{61}/125 cubic inches, or |
60 Hin…..373.248 cubic inches, or | 60 Hin…..373^{31}/125 cubic inches, or |
180 Cab…124.416 cubic inches, or | 180 Cab…124^{52}/125 cubic inches, or |
720 Log…31.104 cubic inches. | 720 Log…31^{13}/125 cubic inches. |
2. The distance is 5670' and the azimuth angle is 50.4° return to the Woodhenge hub.
The distance provides a dynamic lunar code and the sum of 567-days would be ^{1}/12th of the 6804-day lunar nutation cycle. Alternatively, the sum of 56.7-days would be 1/45th of the 7.2-year lunar period (2551.5-days) monitored within the Sabbatical Calendar system (7-solar years or 2556.75-days).
The angle code (50.4) is also dynamic in ancient lunar calculations and the sum of 50.4-days would be 1/135th of the 6804-day lunar nutation cycle. The value is also very important within a range of navigational calculations to do with the equatorial circumference of the Earth under the so-called Greek "6&7" system (the literal system encoded into the base dimensions of the Great Pyramid).
ALEXANDRIAN WEIGHT.
1 Talent…….403200.0 grains
equals:
60 Mina…….6720.0 grains, or
80 Libra…….5040.0 grains, or
960 Uncia…..420 grains.
3. The distance is 5400' and the azimuth angle is 47.52° return to the Woodhenge hub.
The distance provides a dynamic value relates to lunar calculations and there would be 126 periods of 54-days in the 6804-day lunar nutation cycle (note: the Hebrew reed @ 10.5' was 126" in length).
The angle is navigational coding and relates to the "11" series of navigation using the mile of 5280'. One of three Egyptian Royal Cubits was fashioned for readings within this "11" series system and its length was 20.625". Under this system the equatorial circumference was considered to be 24750-miles (1200 X 20.625). The sum of 4752 = 24.75 X 192.
4. The distance is 5184' and the azimuth angle is 45.36° return to the Woodhenge hub.
The Great Pyramid's slope angle was coded to be 51.84°. The Great pyramid @ 72 reeds per base side equals 5184 reeds of area covered by the edifice. The ancient value used to describe the duration of the Precession of the Equinoxes was 25920-years (360 X 72). This equates to 5184-years X 5. When the length of 1 ancient British league (16500' or 3.125-miles) is used as the diameter of a circle, it produces a circumference of 51840' using the special rendition of π that applied to all "11" series numbers (^{1728}/550ths ... 3.141818182). A league of travel therefore produced a circumference value that was perfectly divisible within a 360° compass environment. This was the basis of positional plotting at sea, where the degree angle back to the point of departure or onwards to the destination could always be calculated with accuracy, despite many course changes while tacking by the wind. The ^{1728}/550ths navigational principle is encoded into the diameter and circumference of Silbury Hill near Avebury Henge in one cross-measure. The azimuth angle that the Octagon geometric earthmound complex of Newark, Ohio, USA lies on is 51.84°. The sum of 51.84 X 250 = 12960, which was the volume, in cubic inches, of the ancient Babylonian Homer.
GREEK CAPACITY MEASURES…DRY (Decimal fractions). | GREEK CAPACITY MEASURES…DRY (Fractions). |
1 Medimnus…3110.4 cubic inches, equals: | 1 Medimnus…3110.^{2}/5 cubic inches, equals: |
6 Hecteus…518.40 cubic inches, or | 6 Hecteus…518.^{2}/5 cubic inches, or |
48 Choenix…64.80 cubic inches, or | 48 Choenix…64.^{4}/5 cubic inches, or |
192 Coytle…16.20 cubic inches, or | 192 Coytle…16.^{1}/5 cubic inches, or |
1152 Cyathus…2.70 cubic inches. | 1152 Cyathus…2. ^{7}/10 cubic inches. |
BABYLONIAN CAPACITY.
1 Archane…… 129600
cubic inches, equals:
6 Homer…… @ 21600 cubic
inches, or
36 Artaba….. @ 3600 cubic inches, or
216 Sutu…… @ 600 cubic inches, or
2160 Qa……. @ 60 cubic inches.
The angle is a dynamic navigational code that is found on the Great Pyramid of Egypt. The vertical height from the desert floor to the top of the altar floor (203rd tier) is 453.6'. The length of the Great Pyramid at 756' (^{1}/8th of 1-minute of arc) is 9072" or 4536" X 2.
BABYLONIAN SINGLE STANDARD.
1 Talent………453600
grains, equals:
60 Mina…….. @ 7560 grains, or:
3600 Shekel… @ 126 grains.
BABYLONIAN DOUBLE STANDARD.
1 Talent………907200
grains, equals:
60 Mina…….. @ 15120 grains, or:
3600 Shekel….@ 252 grains.
5. The distance is 4320' and the azimuth angle is 37.8° return to the Woodhenge hub.
The length is navigational and equates to 51840". The 432 value featured in mathematical progressions that related to navigation and the Precession of the Equinoxes. The Great Pyramid @ 756', measured in Hebrew Royal Cubits of 21", was 432 cubits per side or 1728 for one circumnavigation (note: there are 1728 cubic inches in a cubic foot).
Similarly the degree angle is navigational coding and half the base length of the Great Pyramid was 378' for ^{1}/16th of 1-minute of equatorial arc.
ROMAN GOLD STANDARD.
1 Talent….378000
grains equals:
60 Mina…6300 grains, or
80 Libra…4725 grains, or
960 Uncia…393.75 grains.
6. The distance is 5600' and the azimuth angle is 45° return to the Woodhenge hub. A second reading supplies the distance of 5555.5555' and the azimuth angle to Woodhenge hub is 44.55°.
The number 56 (7 X 8) provides a mathematical progression and strings of numbers that were highly important to navigation. There were 56-post positions on the Aubrey Circle at Stonehenge. This distance also equated to 5760 so-called Roman feet. A second reading onto the same mound is 5555.5555' or ^{1}/9th of 50,000.
The angle of 45° was simply ^{1}/8th of 360°. A second reading was probably 44.55° for providing a mathematical progression used in "11" series readings to do with the equatorial size of the Earth.
7. The distance is 5103' and the azimuth angle is 39.6° return to the Woodhenge hub.
The distance reading is in homage to the lunar period monitored and measured within the 7 solar years and 7.2 lunar years of the lunisolar Sabbatical calendar. The sum of 5103-days would be two such lunar periods (2551.5 X 2 = 5103).
The angle reading provides a value in a mathematical progression that relates to the diameter of the Earth and 3960-miles is half the 7920-mile diameter.
ROMAN DRY MEASURE (Decimal fractions). | ROMAN DRY MEASURE (Fractions) |
1 Amphora…….1900.8 cubic inches equals: | 1 Amphora…….1900^{4}/5 cubic inches equals: |
3 Modius………633.6 cubic inches, or | 3 Modius………633^{3}/5 cubic inches, or |
32 Choenix…….59.4 cubic inches, or | 32 Choenix…….59^{2}/5 cubic inches, or |
48 Sextarius……39.6 cubic inches, or | 48 Sextarius……39^{3}/5 cubic inches, or |
96 Hemina……...19.8 cubic inches. | 96 Hemina……...19^{4}/5cubic inches. |
8. The distance is 4536' and the azimuth angle was intended to convey 29.53125° return to the Woodhenge hub.
The distance relates to the equatorial circumference of the Earth and equates also to 2640 Egyptian Royal Cubits of 20.61818182", The same distance is also 4320 Greek feet or 432 Hebrew reeds.
The angle codes the duration of a lunar month @ 29.53125-days.
9. The distance is 6600' and the azimuth angle is 48.6° return to the Woodhenge hub.
This distance is 10-furlongs or furrowlongs. It is also 1.25-miles or ^{2}/5ths of a league.
A mathematical progression based upon 48.6 provides a string of very useful navigational and lunar numbers. For example, there would be 14-periods of 486-days in the 6804-day duration of the lunar nutation cycle. Similarly, there would be 486 periods of 5.25-days in the 2551.5-day (7.2 lunar years) period of the Moon monitored within the lunisolar Sabbatical Calendar.
10. The distance is 6378.75' and the azimuth angle is 47.52° return to the Woodhenge hub.
Again, the distance relates to the 2551.5-day lunar period measured within the Sabbatical calendar and the sum of 637.875-days would be ^{1}/4th of that period. or 1.8 lunar years.
Again, the angle relates to a value within a number series accentuating navigation by the mile of 5280' and an equatorial circumference of 24750-miles.
11. The distance is 6000' and the azimuth angle is 43.75° return to the Woodhenge hub. A second reading would also give a distance of 5906.25' to the northern side of the mound.
The distance is in homage to the sexagesimal system of calibration that makes inroads into our compass and chronology systems. A second reading on the same mound achieves 5906.25' and is in homage to the lunar period measurements.
The angle of 43.75 can be used in a mathematical progression to produce dynamic lunar and navigational numbers simultaneously.
12. The distance is 5670' and the azimuth angle is 34.02° return to the Woodhenge hub.
Again the length is lunar coding. The sum of 5670' would be 540 Hebrew reeds or 5400 Greek feet. It would also be the same as two circumnavigations of the Khafre Pyramid of Egypt @ 708.75' per side or 2835' for one perimeter circuit. This same length is 68040" and there were 6804-days in the lunar nutation cycle.
The angle is also in homage to the 6804-day lunar nutation cycle, of which 3402-days would be the half-period, where the Moon goes from Lunar Major Standstill to Lunar Minor Standstill. This very important cycle actually endures for 6798.36-days, but that very near proximity value was not factorable or convenient to calculations. The ancient mathematician-astronomers therefore accepted a small amount of error, amounting to less than a minute per month, in order to facilitate daily monitoring of the Moon's position. The Moon, with its immense gravitational tug on our atmosphere, is the biggest contributor to the weather and by knowing where the Moon sat in relation to the Earth and Sun, trends, weather patterns or dangerous periods of unsettled weather could be predicted with reasonable certainty. There were oceans that mariners dared not venture into if the Moon was wrong.
13. The distance is 5250' and the azimuth angle is 28.8° return to the Woodhenge hub.
The length is one so-called Greek mile, 10 short stadia, 5000 Greek feet or 500 Hebrew reeds.
The angle accentuates the value 288, which was highly important to ancient navigational and Precession of the Equinoxes calculations. The sum of 288' is ^{1}/21st of 1-minute of equatorial arc.
14. The distance is 4050' and the azimuth angle is 24° return to the Woodhenge hub.
The length is in homage to the value 405, which featured strongly in lunar calculations. For example, there would be 168 X 40.5-days in the 6804-day cycle of the Moon (note: there are 168-hours in a week). There are 63 periods of 40.5-days in the 2551.5-day (7.2-lunar years) monitored in the lunisolar Sabbatical Calendar.
GREEK VOLUMES…LIQUID (decimal fractions). | GREEK VOLUMES…LIQUID (fractions). |
1 Metretes…2332.8 cubic inches equals: | 1 Metretes…2332^{4}/5 cubic inches equals: |
12 Chous…..194.4 cubic inches, or | 12 Chous…..194^{2}/5 cubic inches, or |
144 Cotyle…16.2 cubic inches, or | 144 Cotyle…16^{1}/5 cubic inches, or |
576 Oxybaphhon…4.05 cubic inches, or | 576 Oxybaphhon…4^{1}/20 cubic inches, or |
864 Cyathus…2.70 cubic inches. | 864 Cyathus…2^{7}/10 cubic inches. |