Monday, 28 December 2009

The Apollo Code

The Work of Anne Macaulay

Anne Macaulay was primarily a musicologist, mathematics and music being sister and brother. Her starting point was the inspired recognition that the Pythagorean mathematics which apply to the tuning of the ancient Greek lyre, the 'cithara', the predecessor of the guitar.

In the late 1950's her creative energy was rekindled by an intense interest in classical guitar music. She learnt to play the instrument and attained a proficiency considered close to that of a virtuoso. After a frozen thumb put an end to her playing the guitar her obsession with the instrument's early history continued. She was also obsessed with Apollo, the god of music and healing, and why he was associated with the lyre. In an inspirational moment, she married numbers to the to the letters of the Greek alphabet for the name 'Apollo'. She discovered the geometric figure whose proportions are to be found in the layout of many megalithic stone circles and from which a guitar may be tuned.

When Anne Macaulay began her researches she had no intention of entering the areas concerning Apollo and religion. She started by exploring the history of the modern guitar with the intention of discovering where it had originated from. She found that the guitar was derived from the cithara, the seven stringed lyre, an ancient Greek instrument that had been invented by Apollo. She declared that music can be seen to be an integral part of Pythagoreanism: using standard archaeological methods, along with the music, all the "tools" of the Pythagorean culture were considered together, which led back in time eventually to the source of Apollo in the West of Europe in the megalithic period.

The starting point for Anne Macaulay was the study of ancient Greek musical scale. Macaulay argued that the musical side was essential to unravelling these mysteries, in the first instance because the music defines the background to the whole culture in time and space, secondly it demonstrates the relation to Pythagorean geometric practices, and finally demonstrating how the extreme West of Europe are still strongly connected to these ancient roots.

She pondered that there must have been a common cultural source that flourished around 1450BC which gave the same cithara instrument to both the Greeks and the Hyperboreans in the West of Europe. Before this time there were many civilisations in Egypt and the East but in none of these places was found either the cithara or the god Apollo. Apollo was thought to have come from the North, his mother Leto born on the Island of the Hyperboreans, which many have proposed as Britain. The appearance of Apollo's lyre in Crete in around 1450BC coincides with the time that Stonehenge along and some other megalithic sites were abandoned. Macaulay declares this as the end point of a long and brilliant megalithic period which had lasted nearly three thousand years in the West of Europe. It was beginning to look like the cithara, which existed in the West before the Greeks, the god Apollo and the Pythagorean way of thought all came from the megalithic culture of Western Europe.

The account of Hecataeus, and later quoted by Diodorus, retells how he was told in Hyperborea that Apollo had been born in their land. The limiting date of 1450BC coincides with the abandonment of Stonehenge and the presence of Pythagorean-type geometry found in the megalithic rings as demonstrated by Alexander Thom who proposed that many of these ancient British sites are devised from a starting point of one of the Pythagorean right-angled triangles at the centre, most often this being the 3:4:5 triangle.

If Apollo was known in Minoan Crete, then the date of his birth in Hyperborea must antedate the appearance of Apollo in Crete, which cannot be later than 1450Bc. This placed Apollo firmly in the megalithic period. It is known that Apollo was equated with the sun and his twin sister with the moon, Macaulay suspected further proof could be found in the many megalithic sites which were used to define calendrical dates from astronomical events.

Two significant astronomical events, the first again Diodorus quotes from Hecataeus, who had arrived in Hyperborea in time to find the priests celebrating the return of Apollo at the end of the 18.5 year lunar (metonic) cycle. The second event is the reference to Apollo leaving Delphi in the autumn to spend the winter in the land of the Hyperboreans, returning once more in the spring. Macaulay realised that as Apollo's main attributes were the swan and the lyre, that these travels refer to movements of the constellation Cygnus, the swan, and its neighbour, the constallation of the Lyre, which are only visible in the Greek world in the summer, but circumpolar in the North and therefore visible all year. Furthermore, Macaulay states that the Apollo geometry is related to astronomical events associated with the god in ancient times, the circumpolar stars being the most sacred and defined by the pi circle. She concluded that Apollo is the name derived through the sacred numero-geometric alphabet from a geometric figure which was itself derived from astronomical observations of the circumpolar stars and the moon. [1]

In summary, Colin Wilson states: “Macaulay is suggesting that the phonetic alphabet series was created as a mnemonic aid to record the positions of the polar stars, and that the word 'Apollo' - the god of music - was one of these basic mnemonics. The letters, from A to U, were created as mnemonics for certain geometric theorems or figures, with which numbers were associated. But Anne Macaulay draws one thought-provoking conclusion: that when this 'code' is used to encapsulate the extreme southerly rising of the moon, the ideal place to build an observatory is precisely where Stonehenge is placed. Another is that all this indicates that ancient Greek science - including Pythagoras (who born around 540 BC) - probably originated in Europe - the exact reverse of a suggestion made in nineteenth century that Stonehenge was built by Mycenaeans. She suggests that the early Greeks may have been British tin traders from Cornwall........The importance of this whole argument is its suggestion that geometry and astronomy existed in a sophisticated form long before there was an accurate method of writing it down. Anne Macaulay believes – as Thom does – that it can be read in the geometry of megalithic circles and monuments.....” [2]


Notes:
1. Apollo: The Pythagorean Definition of God by Anne Macaulay, from
'Homage to Pythagoras: Rediscovering Sacred Science', Lindisfarne Press, 1994. [Left]
Anne Macaulay's article, Apollo: The Pythagorean Definition of God, originally appeared in Lindisfarne Letter No 14, 1982, Papers from the 1981 Lindisfarne Corresponding Members Conference, Crestone, Colorado.

2. From Atlantis to the Sphinx - Colin Wilson, Virgin Books, 1996, pp 212 – 213. Wilson states it was Keith Critchlow (Time Stands Still) who introduced him to the ideas of Anne Macaulay who was in turn was kind enough to let him read the unpublished manuscript of her book which then had the working title of Science and Gods in Megalithic Britain.


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Saturday, 26 December 2009

Megalithic Measures and Rhythms

Sacred Knowledge of the Ancient Britons
Anne Macaulay

"..our traditional units for measuring length and areas are not, as commonly supposed, a relic of Britain's Imperial past, nor a mediaeval hotch-potch, nor even a derivation from ancient Rome, but in fact are integral to a universal system that is as old as civilization itself - from the very roots of mathematics, music and time."

Anne Macaulay (1921–1998) was born in Fife, Scotland. She settled in Balerno near Edinburgh and travelled widely, surveying megalithic sites around the world. In 1994, she was awarded an Honorary Fellowship by the University of Edinburgh. She studied the origins of the alphabet, the history of the guitar, the figure of Apollo, and other mysteries surrounding Pythagoreanism. Anne Macaulay lectured for Research into Lost Knowledge Orga­nization (RILKO) and was a trustee of the Salisbury Centre in Edinburgh.

Following Anne Macaulay's death in 1998, Vivian Linacre (a Perth based surveyor and President of the British Weights and Measures Association) and Richard Batchelor (a Geologist at the University of St Andrews) worked tirelessly for over seven years to put her many notes, representing 27 years of her work, elaborating on her analysis of precise engineering surveys of nearly two hundred of the surviving huge stone circles constructed between 6,500 and 3,500 years ago on the North Western Atlantic seaboard from Shetland to Brittany providing detailed proof that the builders possessed advanced skills in geometry, into a suitable form for general readership with the resulting publication of Megalithic Measures and Rhythms: Sacred Knowledge of the Ancient Britons by Floris Books in July 2006.

Opening with a necessary introduction entitled The Origins of Megalithic Mathematics by Vivian T Linacre, Macaulay's work is spread over two sections. Part I: The Geometry of the Megalithic Monuments provides a detailed study of many stone circles with diagrams and plans. Part II: Migration to the Mediterranean details her theory of the transmission of the Apollo wisdom to Greece with memories of Apollo in Britain. The book concludes with 9 Appendices including a Biographical Note and The Great Antiquity and Scientific Origin of Feet and Inches.

Described as Anne's posthumous gift to all those who are fascinated by the works of megalithic cultures. This well-researched study enlightens the reader into the secrets of a distant past, investigating the geometry and cultural significance of stone circles and megalithic sites. Illustrated throughout with plans and photographs of stone circles. This is a book to be welcomed as a continuum of the work of Alexander Thom.

This book details the research of Anne Macaulay who studied megalithic monuments in which she analysed about 180 of Thom's sites and showed that the people who constructed them understood the Fibonacci series of numbers and the Golden Mean five thousand years before Leonardo of Pisa explained them in 'Liber abaci' in 1202. This is demonstrated by the use of the pentagram in the lay out of many megalithic sites, with the 'magical ratio' or 'divine proportion' known as phi (or the Golden Mean) seen in the in the ratio of the long side to the short side.

The evidence presented by Macaulay suggests they used square roots and Pythagorean mathematics two thousand years before Pythagoras. She shows how these people of the megalithic culture during the period from 4000 to 2000 BC purposefully used Pythagorean geometrical shapes into the designs of their megalithic monuments, confirming the controversial discovery of Alexander Thom in the 1960's that the ancients used a common measurement system in laying out these geometrical designs. Thom declared that the ancient surveyors had used the 'megalithic yard' (MY) of 2.72 imperial feet and the 'megalithic rod' (MR) of 6.8 imperial feet. 1 MR being equal to 2.5 MY; therefore 5 MY = 2 MR. Macaulay adds to these two common measures, a third 'yardstick', the 'Greek foot' of 0.97 feet, authenticating the Greek fathom of 7 Greek feet equal to exactly 1 megalithic rod (i.e. 7 x 0.97ft = 6.8 ft).

In Thom's survey of Stonehenge he determined the Aubrey hole circle as 104 MY. If the unit is taken as 8 MY, there are 13 units in the diameter of this circle of 56 holes. A perfect pythagorean triangle of 13-12-5 fits into this, with the four station stones clearly defining an octagram. Constructing this octagram generates a central circle with a diameter of 5 units, spanning 40 MY. Macaulay notes that this central space is the inner sanctum of the site which enclosed most of the constructions, giving 37 MY as the central diameter of the sarsen circle. The pythagorean triangles of 13-12-5 and 3-4-5 can be found consistently at other megalithic sites across North West Europe.

Macaulay argues, persuasively, that the original corpus of this mathematical knowledge, diffused by the legends of Apollo and the Hyperboreans, actually migrated from the Atlantic seaboard to the Eastern Mediterranean, to be rediscovered centuries later by the ancient Egyptians and Greeks - contrary to the universal presumption that all scientific knowledge originated in ancient Babylon, Egypt and Greece and only later spread to Europe, in fact this same 'Pythagorean' mathematics migrated to the Eastern Mediterranean from the shores of North Western Europe.

From inside the front flap:
“The huge stone circles built in the British Isles and northwest France from 6,500 and 3,500 years ago are among civilization’s strangest monuments. Ignored or plundered for centuries, they have only in modern times begun to reveal their remarkable complexity. It is now widely acknowledged that those ancient sites were precisely aligned to major celestial events, probably linked to the agricultural calendar of early farming settlements. But the mystery remains as to how did those megalithic builders achieved such extraordinary accuracy in their measurements and construction.

Inspired by the surveying work of Alexander Thom, Anne Macaulay devoted her life to an investigation of the stone circle sites, seeking out their hidden geometry and deeper cultural significance. In this book,she draws on ideas from geometry and metrology, archaeology and anthropology, history and mythology, as well as astronomy and music. Macaulay concludes that the extraordinary mathematical skills of the ancient Britons were original and self-contained. In turn the elite of that society became the proto-Greeks, their knowledge flowing to the Eastern Mediterranean.”

REVIEWS:
'It is obvious that Macaulay was a person of great personal charisma. As well as presenting Macaulay's work for posterity, the editors have added a number of biographical sketches and explanatory notes about her life and work, and have produced a fitting tribute to this independent thinker.' - Northern Earth, Sep. 2006

'Macaulay's work is marvellously infused with geometrical and musical considerations ... One would like to see an annual Anne Macaulay lecture set up, in which speakers grapple with these intractable and yet deeply important issues; and maybe combat in some degree the tides of Rugglesian scepticism now washing over academe.'
- Nick Kollestrom, The Megalithic Portal [for full review]

The Editors Vivian T Linacre and Richard Batchelor must be complimented on producing such a fine book in tribute to Anne Macaulay.


See > The Apollo Code: The work of Anne Macaulay


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