Brittany in West France has a remarkable number of megalithic monuments but in the South an area of great concentration near the town of Carnac. Analysis of these contributed greatly to Sacred Number and the Lords of Time as demonstrating numerical counting of days within monuments which, combined with multiple square geometries, indicates an advanced megalithic science there in the fifth millennium BC. Day inch counting would have enabled the harmonic structure of synodic time to have been discovered just as the neolithic civilisations of the fourth millennium arose, especially in the ancient near east.
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This paper presents the theory that in the Megalithic period, around 4500-4000 BCE, astronomical time periods were counted as one day to one inch to form primitive metrological lengths that could then be compared, to reveal the fundamental ratios between the solar year, lunar year, and lunar month and hence define a solar-lunar calendar. The means for comparison used was to place lengths as the longer sides of right angled triangles, leading to a unique slope angle. Our March 2010 survey of Le Manio (included) supports this theory.
Robin and Richard Heath at Le Manio during the week of our Survey
Following the discovery of such a triangle at Le Manio near Carnac, Brittany, the authors conducted a theodolite survey to accurately establish that both three and four solar year counts had been made in day-inches along the azimuth associated with the midsummer sunrise at that latitude, an angle itself generated between the longer sides of a 3:4:5 triangle (the simplest Pythagorean triangle).
The Crucuno Rectangle exemplifies the fact that, at the latitude of Carnac in Brittany,
the solstice sun, in midsummer and midwinter, shines along the 5 side of a 3-4-5 triangle
with 4-side aligned east-west.
The difference in day-inches between three solar years and three lunar years was confirmed as being a megalithic yard of 32.7 inches within the monument, showing that the megalithic yard emerges naturally from day-inch counting the sun and moon over three years.
The basic truth about the Le Manio Monument is that through counting
solar and lunar years in day-inches, over a three year period,
the megalithic yard used around Carnac was naturally "manufactured".
The invariant proportion of this soli-lunar triangle can be seen at Le Manio as that formed by the diagonal between four squares of equal side length and this generates a natural reading of metres since the modern metre is 4/3 the day-inch count for a lunar month.
The monument reveals a 3 to 4 year relationship that involves the supposedly modern
unit of length, the Metre, as being 4/3 of the day-inch count for one lunar month
Finally, the angle of the Quadrilateral is revealed as adapted to the right angle of the three year triangle towards the East of its southern kerb.
The angle of the monument can be reproduced by extending the southern kerb and forming
a triangle to the east that relates the lunar month to the lunar orbit,
in interesting metrological ways
It can be inferred that later metrology was derived from such a starting point since the inch and an “English” foot of twelve inches are commensurate with the metrological units of the historical period.
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The information below (without diagrams and using the rational logic of our functional mathematics: of equating things, dividing or multiplying both sides, transfering across the equation using reciprocation, and so on) leads to a verbose and quite hard to understand how the unit of length in day-inches for 4 eclipse years (EY) is the same length as one quarter of a day count for the the moon's nodal period of 6800 days (18.618 years), if then counted in megalithic inches (MI = 0.815") of which there are 40 in a (Carnac) megalithic yard (CMY) and 100 MI in a megalithic rod (MR = 2.5 CMY). An article is in preparation demonstrates how much easier was the megalithic approach to understanding this strange equation, found at Le Menec's western cromlech, where the radius of the forming circle is 17 MR = 4 EY = 1386.48 day-inches = 1700 day-MI.
first published on MatrixOfCreation.co.uk, Monday, 30 April 2012 12:57
At Le Menec, the western cromlech's radius of 17 megalithic rods = 42.5 megalithic yards was first found to equal four eclipse years in day-inch counting but then seen to contain the same number of megalithic inches (1700) as would be generated by counting one quarter of the moon's nodal period of 18.6 years (6800 days). (See Sacred Number and the Lords of Time page 98-99 or PDF: The Meaning of Le Menec)
The number of these two types of inch, found within seventeen megalithic rods, cannot without a reason correspond to the number of days in (a) four eclipse years (a length of time significant as being the Octon eclipse cycle) and (b) one quarter of the moon's nodal period. Two such unlikely correspondences occurring within the same unit length (effectively multiplying each individual unlikeliness) forming a probability lower than either taken individually.
There is therefore likely to be a systematic reason for why this singular length should simultaneously represent the key day counts for eclipse year and the related nodal cycle that regulates eclipses.
The nodal cycle can be expressed as equal to 19.618 eclipse years and 19.618 eclipse years, divided by four eclipse years, is the ratio 4.9045, which ratio is six times a megalithic inch of 0.8174 inches. This numerical value for the megalithic inch is therefore 19.618 eclipse years divided by 24 eclipse years, and the latter period is six times 17 megalithic rods or 255 megalithic yards. This would make a megalithic yard equal to 24 eclipse years of day-inch counting divided by 255 or 32.623 day-inches, as found at Carnac.
The three main types of year, solar, lunar and eclipse, are therefore commensurate, dividing into each other in a rational fashion, involving whole numbers.
This megalithic yard was derived at Le Manio’s Quadrilateral (PDF) from a day-inch count enabling three lunar years to be subtracted from three solar years, to make a megalithic yard then defined as,
megalithic yard = 3 times (Solar Year minus the Lunar Year)
or 3*(365.25 - 354.375) = 261/8 =32.625 day-inches
Since, as above, 24 eclipse years as a day count equals 255 MY then,
The eclipse year, EY = 255/24 x 3*(SY - LY) = 30 * 17/16 * (SY - LY)
and (SY - LY) = 87/8 = 10.875 days
Therefore, EY = 30 * 17/16 * 87/8 day-inches (relationship A)
the solar, lunar, eclipse years being abbreviated as SY, LY, EY
This can be expressed as, the eclipse year is thirty times the ratio of the squares of the solar and lunar years times the excess of the solar year over the lunar year.
Meanwhile, the moon's nodal period of 19.618 eclipse years is 6800 days long = 17 ×4 ×100 days. Le Menec's western cromlech has a radius of 17 megalithic rods which equal 17 x 100 megalithic inches, where a megalithic inch (M-inch) is 1/40th of a megalithic yard, 1/100th of a megalithic rod. This length at Le Menec is therefore a quarter count for one lunar nodal period, counting one day per megalithic inch so that
an eclipse year (EY) in megalithic inches equals
(17 * 4 * 100)/ 19.618 megalithic-inches (relationship B)
which is that same length as
30 * 17/16 * 87/8 day-inches (relationship A)
(17 * 4 * 100)/ 19.618 megalithic-inches = 30 * 17/16 * 87/8 day-inches
The number of eclipse years in the nodal cycle is therefore numerically produced when 19.618 is taken to one side as,
400/30 * 17/16 * 8/87 = 19.616585
This demonstrates the identity within the parallel usage of inches to count four eclipse years and megalithic inches to count one quarter of a nodal cycle as the same length of seventeen megalithic rods found as the radius of Le Menec’s western cromlech.
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Hosted by Howard Crowhurst, who has lived in Brittany and studied the megaliths around the Carnac area for decades, Anthony Blake shot this film of the DuVersity's Enchanted Albion Tour in 2004.
Gavrinis Island has a large Cairn within which the finest megalithic art is to be found, on most of 28 its upright stones, these used to create a corridor and end chamber. The Sun and Moon, at their (independent) extreme positions on the southeastern horizon, shine into the corridor and illuminate its end chamber with their light. The stones appear to manifest a type of technical notation associated with the design of megalithic monuments and the observation of astronomical phenomena involving these. The engraved stones are variously weathered and used to be outdoors before their reuse within the corridor and chamber around 3,500 BC, and the cairn was sealed by 3,000 BC, so the Knights Templar entered its top but only saw the (engraved) upper side of the roof slab, itself related, as part of the Er Grah Grand Menhir, to the Lochmariquer complex 4Km west (see my other youtube video)
Locmariaquer, Le Menec and the Alignments
This film reveals some of the most significant features of one of the world's most significant megalithic sites, dated 4000+ BCE. The three main components are the "Grand Menhir" (Er Grah), the Tumulus de Er Grah and a Dolmen called Table des Marchands, at Locmariaquer near Carnac Brittany France. The Enchanted Albion Tour also included Chartres, Mont St Michell, Stonehenge, Avebury, Edinburgh, and Orkney megaliths. *Howard Crowhurst is an English speaking expert who has lived near Carnac for many decades and helps organise events at http://www.megalithes.info.
For more on Gavrinis and Lochmariaquer and their importance for understanding the achievements of megalithic astronomy and their role in establishing the number sciences of the ancient Near East, please read my book Sacred Number and the Lords of Time