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Megalithic yard

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Themegalithic yardis ahypotheticalancientunit of lengthequal to about 2.72 feet (0.83 m).[1][2][3]Some researchers believe it was used in the construction ofmegalithicstructures. The proposal was made byAlexander Thomas a result of his surveys of 600 megalithic sites inEngland,Scotland,WalesandBrittany.[4]Thom also proposed themegalithic rodof 2.5 megalithic yards, or on average across sites 6.77625 feet.[5]As subunits of these, he further proposed themegalithic inchof 2.073 centimetres (0.816 in), one hundred of which are included in a megalithic rod, and forty of which composed a megalithic yard. Thom applied the statisticallumped variance testof J.R. Broadbent[6]on this quantum and found the results significant,[7]while others have challenged his statistical analysis and suggested that Thom's evidence can be explained in other ways, for instance that the supposed megalithic yard is in fact the average length of apace.

Other units[edit]

Thom suggested that "There must have been a headquarters from which standard rods were sent out but whether this was in these islands or on the Continent the present investigation cannot determine."[8]

Margaret Ponting has suggested that artefacts such as a marked bone found during excavations atDail MòrnearCallanish,thePatrickholme bone beadfromLanarkshireandDalgety bone beadfromFifeinScotlandhave shown some evidence of beingmeasuring rodsbased on the megalithic yard inBritain.[9]Anoakrod from theIron Agefortified settlement atBorre Fenmeasured 53.15 inches (135.0 cm) with marks dividing it up into eight parts of 6.64 inches (16.9 cm). Euan Mackie referred to five-eighths of this rod 33.2 inches (84 cm) as "very close to a megalithic yard".[10]Ahazelmeasuring rod recovered from aBronze Ageburial mound in Borum Eshøj, East Jutland by P. V. Glob in 1875 measured 30.9 inches (78 cm). Keith Critchlow suggested this may have shrunk 0.63 inches (1.6 cm) from its original length of one megalithic yard over a period of 3000 years.[11]

Thom made a comparison of his megalithic yard with the Spanishvara,the pre-metric measurement of Iberia, whose length was 2.7425 feet (0.8359 m). ArchaeologistEuan Mackienoticed similarities between the megalithic yard and a unit of measurement extrapolated from a long, marked shell fromMohenjo Daroand ancient measuring rods used in mining in theAustrianTyrol.[12]He suggested similarities with other measurements such as the ancientIndiangazand theSumerian šu-du3-a.[12]Along withJohn Michell,Mackie also noted that it is the diagonal of a rectangle measuring 2 by 1Egyptian remens.[13][14][verification needed]Jay Kappraffhas noted similarity between the megalithic yard and the ancientIndusshort yardof 33 inches (0.84 m).[15]Anne Macaulay[16]reported that the megalithic rod is equal in length to theGreekfathomof (2.072 metres (6.80 ft))[15]from studies by Eric Fernie of theMetrological Reliefin theAshmolean Museum,Oxford.[17]

Reception[edit]

Thom's proposals were initially ignored or regarded as unbelievable by mainstream archaeologists.[18]

Clive Ruggles, citing astronomer Douglas C. Heggie, has said that both classical and Bayesian statistical reassessments of Thom's data "reached the conclusion that the evidence in favour of the megalithic yard was at best marginal, and that even if it does exist the uncertainty in our knowledge of its value is of the order of centimetres, far greater than the 1mm precision claimed by Thom. In other words, the evidence presented by Thom could be adequately explained by, say, monuments being set out by pacing, with the 'unit' reflecting an average length of pace."[19]David George Kendallmakes the same argument,[7]and says that pacing would have created a greater difference in measurements between sites, and that a statistical analysis of sites would reveal whether they were measured by pacing or not. In an investigation for theRoyal AcademyKendall concluded that there was evidence of a uniform unit in Scottish circles but not in English circles, and that further research was needed.[20][21]Statistician P. R. Freeman reached similar conclusions and found that two other units fit the data as well as the yard.[22]

Douglas Heggie casts doubt on Thom's suggestion as well, stating that his careful analysis uncovered "little evidence for a highly accurate unit" and "little justification for the claim that a highly accurate unit was in use".[23]

In his bookRings of Stone: The Prehistoric Stone Circles of Britain and Ireland.Aubrey Burlcalls the megalithic yard "a chimera, a grotesque statistical misconception."[24]

Most researchers have concluded that there is marginal evidence for a standardized measuring unit, but that it was not as uniform as Thom believed.[7]

Arguments for a geometric derivation[edit]

Explanation of how some have derived Thom's Megalithic Yard unit of measure from metrological land measure relationships established historically in Egypt's Dynastic periods

Some commentators upon Thom's megalithic yard (John Ivimy and then Euan Mackie[25]) have noted how such a measure could relate to geometrical ideas found historically in two Egyptian metrological units; the remen of about 1.2 feet and royal cubit of about 1.72 feet. The remen and royal cubit were used to define land areas in Egypt: "On documentary and other evidence Griffith came to the conclusion that the square on the royal cubit was intended to be twice that on the remen; and Petri identified the remen as a length of 20 digits".[26]

A square with side length equal to the diagonal of a square with side length equal to one remen has an area of one square royal cubit, ten thousand (a myriad) of which defined an Egyptian land measure, the setat.[25]John Ivimy noted that "The ratio MY: Rc is SQRT(5): SQRT(2) to the nearest millimeter, which makes the MY equal to SQRT(5) remens, or the length of a 2 × 1 remen rectangle."[27]see figure at right.

The main weakness in this argument is probably that, in order to derive their yard, the builders of the megalithic monuments would have needed the remen and royal cubit, upon which this geometrical relationship relies. However, since the megalithic constructs of the British Isles and northern France predate the pyramids by millennia, this supposed counter-argument is anachronistic.

Recent work by John Michell (Ancient Metrology,The Lost Science of Measuring the Earth), John Neal (All Done with Mirrors), Richard and Robin Heath (various works on British megalithic circles and on Carnac) make a case for the connection of the megalithic yard with a systemic relation of geodetics and the lunation cycle.

An explanation of how Euclid 13:4, as a precursor to the construction of the dodecahedron, natively unifies the royal cubit, remen, megalithic yard and foot.

A fresh proposal demonstrating a correlation between four units of measure (the royal cubit, the remen, the megalithic yard and the foot) examines the text of Euclid[dubious–discuss]in light of the ancient cosmological implications of the dodecahedron's construction atop a cube. The approach demonstrates that the EgyptianDuat,as an encircled pentagram, is a shorthand glyph for the Platonicquintessence(dodecahedron) and that they both represented the fabric of the celestial canopy covering the earth (cube). In this example, given side AB equals 10royal cubits(5.236067 meters), then side DB equals 20 remen and line GB equals 1 megalithic yard. The difference between the royal cubit and the megalithic yard is 1 foot.[28]

See also[edit]

References[edit]

  1. ^Thom, Alexander. The megalithic unit of length,Journal of the Royal Statistical Society,A 125, 243–251, 1962.
  2. ^Alexander Thom (1964).New Scientist.Reed Business Information. pp. 690–.ISSN0262-4079.
  3. ^Barbara Ann Kipfer (2000).Encyclopedic dictionary of archaeology.Springer. p. 344.ISBN978-0-306-46158-3.
  4. ^Archibald Stevenson Thom (1995).Walking in all of the squares: a biography of Alexander Thom: engineer, archaeoastronomer, discoverer of a prehistoric calendar, the geometry of stone rings and megalithic measurement.Argyll Pub.ISBN978-1-874640-66-0.
  5. ^Thom, Alexander., The larger units of length of megalithic man, Journal for the Royal Statistical Society, A 127, 527-533, 1964.
  6. ^Broadbent S.R., Quantum hypothesis, Biometrika, 42, 45–57 (1955)
  7. ^abcDavid H. Kelley; Eugene F. Milone; Anthony F. (FRW) Aveni (2011).Exploring Ancient Skies: A Survey of Ancient and Cultural Astronomy.Springer. p. 163.ISBN978-1-4419-7623-9.
  8. ^A. Thom (1976).Megalithic sites in Britain, p. 43.Clarendon.
  9. ^Margaret Ponting (2003)."Megalithic Callanish".In Clive Ruggles (ed.).Records in Stone: Papers in Memory of Alexander Thom.Cambridge University Press. pp. 423–441.ISBN978-0-521-53130-6.
  10. ^John David North (1996).Stonehenge: Neolithic man and the cosmos, p. 302.HarperCollins.ISBN978-0-00-255773-3.
  11. ^Keith Critchlow (1979).Time stands still: new light on megalithic science, p. 37.Gordon Fraser.ISBN9780860920397.
  12. ^abEuan Wallace MacKie (1977).The megalith builders, p. 192.Phaidon.ISBN9780714817194.
  13. ^John Michell (1978).City of Revelation: On the Proportion and Symbolic Numbers of the Cosmic Temple.Abacus.ISBN978-0-349-12321-9.
  14. ^Euan Wallace MacKie (1977).Science and society in prehistoric Britain.St. Martin's Press.ISBN978-0-312-70245-8.
  15. ^abJay Kappraff (2002).Beyond measure: a guided tour through nature, myth, and number.World Scientific. p. 237.ISBN978-981-02-4702-7.
  16. ^Anne Macaulay; Richard A. Batchelor (July 2006).Megalithic measures and rhythms: sacred knowledge of the ancient Britons, p. 38 (megalithic yardsticks).Floris.ISBN978-0-86315-554-3.
  17. ^Society of Antiquaries of London (1981).The Antiquaries journal: being the journal of the Society of Antiquaries of London, The Greek Metrological Relief in Oxford by Eric J. Fernie, p. 255.Oxford University Press.
  18. ^David George Kendall; F. R. Hodson; Royal Society (Great Britain); British Academy (1974).The Place of astronomy in the ancient world: a joint symposium of the Royal Society and the British Academy.Oxford University Press for the British Academy.ISBN978-0-19-725944-3.
  19. ^Ruggles, Clive (1999).Astronomy in Prehistoric Britain and Ireland.Yale University Press. p. 83.ISBN978-0-300-07814-5.
  20. ^David George Kendall; F. R. Hodson; Royal Society (Great Britain); British Academy (1974).The Place of astronomy in the ancient world: a joint symposium of the Royal Society and the British Academy, Hunting Quanta, p. 249 & 258.Oxford University Press for the British Academy.ISBN978-0-19-725944-3.
  21. ^Kendall, D. G. (1974), "Hunting quanta",Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences,276(276): 231–266,JSTOR74285
  22. ^Freeman, P. R. (1976), "A Bayesian Analysis of the Megalithic Yard",Journal of the Royal Statistical Society,139(1): 20–55,doi:10.2307/2344382,JSTOR2344382
  23. ^Heggie, Douglas C. (1981).Megalithic Science: Ancient Mathematics and Astronomy in North-west Europe.Thames and Hudson. p. 58.ISBN978-0-500-05036-1.
  24. ^Balfour, M; O Gingerich (1980)."Book-Review – Stonehenge and its Mysteries".Journal of Historical Astronomy.SUPP. VOL.11, P.S104.Retrieved3 May2011.
  25. ^abEuan Mackie (1977).Science and Society in Prehistoric Briain, p. 53-57.Paul Elek.
  26. ^A.E.Berriman (1953).Historical Metrology, p. 71.J.M.Dent.
  27. ^John Ivimy (1974).The Sphinx and the Megaliths, p. 132.Turnstone.
  28. ^Balowski, Carl (5 April 2024)."Euclidean Metrology and the Egyptian Duat: The Dodecahedron as the Basis of Ancient Cosmology and Large Scale Metrology (LSM)".academia.edu.
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