REVIEW of The Harmonic Origins of the World

by Bryan Carr alias Skholiast

During the latter part of the twentieth century, three divergent speculative perspectives opened up on the ancients’ cosmology: astronomical, musical, and metrological. The astronomical perspective found its classic expression in von Dechend and de Santillana’s Hamlet’s Mill. The musical perspective was spelled out, almost single-handedly, by Ernest McClain, beginning with his work The Myth of Invariance. The metrological perspective diverged into the practical (descending from Alexander Thom’s surveying in the nineteenth century), and the more theoretical work associated perhaps most famously with John Michell’s View Over Atlantis.  

These three perspectives shared an awareness that number was an indispensable guide. Number is invariant; three is always three, and always one plus two. Mathematics is a realm of order, and recurrent patterns like the seasons or the harmonic scale call for mathematical descriptions precisely because such descriptions find stability in change. 

As scoffers and skeptics like to point out, however, where there is pattern-finding, there is also often unconscious wishful human ingenuity. Moreover, because the astronomical, musical, and metrological perspectives were carried on sometimes in isolation from one another, their results diverged, and an apparent incommensurability emerged: how could they all be true? This gave scoffers an argument that was, on the face of it, difficult to answer: why not none of them instead? Perhaps the real answer was the skeptical shrug: the ancient myth-tellers and builders of stone circles were acting more or less haphazardly or moved by very terrestrial, local, and historical concerns. Was this not the simplest explanation?

Richard Heath for a quarter of a century has been building towards a case diametrically opposed to this.  From the beginning he worked with Thom’s practical metrological results, bringing them into dialogue with Michell and John Neal; then later with a further expansion of astronomical results that far outpaced von Dechend and de Santillana’s speculations on the precession of equinoxes. In The Harmonic Origins of the World, Heath goes a further step, bringing McClain’s results into dialogue with his previous work. Heath provides ample demonstration that the results of these various perspectives can clearly be seen to not diverge from one another. Suddenly it is very plausible that they might indeed “all be true,” because they were never, for the ancients, separate at all. 

According to Heath, there exists in our solar system a harmony of extraordinary beauty among planetary cycles. This harmony was observed by ancient astronomers, and enshrined in megalithic monuments; it was transmitted in oral and literary culture via a musical grammar of proportion, easily reproducible across various cultures, which informs scripture and speculation (in McClain’s phrase) “from the Rg Veda to Plato.”  These assertions are of course controversial and deserve scrutiny. But they give the lie to any facile dismissal of ancient cosmological sophistication on the grounds that reconstructions are inconsistent. Astronomy, metrology (practical and theoretical), and music are all comprehensible under a single analogical system. They hang together in a coherent, living dialogue.

This book is the most recent chapter and the most comprehensive introduction to a vital adventure in ideas. It is a detailed account of how human beings on the ground could make sense of the sky by way of the octave. In it, rigor and common sense meet wonder and awe. 

Harmonic Earth Measures

The Size of the Earth’s Meridian

It appears the ancient world had unreasonably accurate knowledge of the size of the earth and its shape: Analysis of ancient monuments reveals an exact estimate for the circumference of the mean Earth, a spherical version of the Earth, un-deformed by it spinning once a day. Half of this circumference, the north-south meridian, was known to be about 12960 miles (5000 geographical Greek feet of 1.01376 ft), a number which (in those Greek units) is then 60^5 = 777,600,000 geographical Greek inches. One has to ask, how such numbers are to be found very accurately within a planet formed accidentally during the early solar system?


Figure 1 The Earth as a circular Equator and a spherical Mean Earth, whose half circumference approximates the non-circular distance between north and south poles

John Michell’s booklet on Jerusalem found (in its Addendum) that the walls of the Temple Mount, extended for the rebuilding of the Temple of Solomon, was a scaled down model of the mean-earth Meridian in its length. These walls are still 5068.8 feet long, which is the length of a Greek geographical mile. This unit of measure divides the meridian into 12960 parts, each a geographical Greek mile.

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God of Harmony Osiris in Egyptian Mice Tomb

Recently an “early Ptolomaic” tomb was discovered similar in themes to the famous Egyptian Books of the Dead (Middle Kingdom). Normally written on papyrus, they feature multiple tableau of Osiris judging the dead and other scenes. Osiris is a long lasting and perhaps supreme god whose cult was present throughout 3000 years of Dynastic history. I have previously interpreted his throne through drawings but, in the new tomb, he is painted on the walls at least twice and the design of his throne looks like layers of “eggs”. Below is one of the press pictures taken from the Guardian, and the headline is Mummified mice found in ‘beautiful, colourful’ Egyptian tomb.

Osiris could have been seen as a/the god of Harmony and below I explain why harmony may have been thought technically significant at the dawn of our earliest texts, then found in Sumeria 900 miles to the East. The reason I believe musical ratios were significant at the dawn of history because they had naturally emerged from measuring the lunar and solar year and comparing these with the time between loops of the outer planets Jupiter and Saturn.

Wallis Budge drawing in Osiris Judge of the Dead. We can see the lines but no detail and the bottom right is a vertical root 2 rectangle rather than a near square.
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A Moon that created Life?

Extracted from Precessional Time and the Evolution of Consciousness, Inner Traditions, 2011. There is a long history of speculation concerning the origins of our Moon which is still not fully settled but an early impact seems most likely and a key proponent has been William K Hartmann of the Planetary Institute (also space artist, see below). The Moon has played so many important functions for the development of both the Earth and its Biosphere, that it is worth noting some of these when considering the Moon’s relationships to the synodic periods of the outer planets through its lunar year.

Over 4.5 billion years ago the inner solar system was a jumble of would be planets and planetoids. It is thought that Earth shared its orbital zone with at least one other planet about the size of Mars, similarly composed of a heavy metal core and outer mantle. Both would have been mopping up smaller bodies but eventually the two collided with each other.


Figure 1 The Collision of Earth and Thea (©William K. Hartmann)
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The Tetraktys as plan of planetary harmony and the four Elements

Figure 1 The elimination of 5 as a factor in the harmonic mountain for 36 lunar years, resolved using matrix units of one tenth of a month and the limit 360 units.

In a previous post I explored the astronomical matrix presented in The Harmonic Origins of the World with a view to reducing the harmonic between outer planets and the lunar year to a single harmonic register of Pythagorean fifths. This became possible when the 32 lunar month period was realized to be exactly 945 days but then that this, by the nature of Ernest McClain’s harmonic mountains (figure 1) must be 5/4 of two Saturn synods.

Using the lowest limit of 18 lunar months, the commensurability of the lunar year (12) with Saturn (12.8) and Jupiter (13.5) was “cleared” using tenths of a month, revealing Plato’s World Soul register of 6:8::9:12 but shifted just a fifth to 9:12::13.5:18, perhaps revealing why the Olmec and later Maya employed an 18 month “supplementary” calendar after some of their long counts.

By doubling the limit from 18 to three lunar years (36) the 13.5 is cleared to the 27 lunar months of two Jupiter synods, the lunar year must be doubled (24) and the 32 lunar month period is naturally within the register of figure 1 whilst 5/2 Saturn synods (2.5) must also complete in that period of 32 lunar months.

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Harmonic Astronomy within Seascale Flattened Circle

first published in July 2018

Only two type-D stone circles (see figure 3) are known to exist, called Roughtor (in Cornwall) and Seascale (in Cumbria). Seascale is assessed below, for the potential this type of flattened circle had to provide megalithic astronomers with a calendrical observatory. Seascale could also have modelled the harmonic ratios of the visible outer planets relative to the lunar year. Flattened to the north, Seascale now faces Sellafield nuclear reprocessing plant (figure 1).


Figure 1 Seascale type-D flattened circle and neighbouring nuclear facility.
photo: Barry Teague

Stone Age astronomical monuments went through a series of evolutionary phases: in Britain c. 3000 BC, stone circles became widespread until the Late Bronze Age c. 1500 BC. These stone circles manifest aspects of Late Stone Age art (10,000 – 4500 BC) seen in some of its geometrical and symbolic forms, in particular as calendrical day tallies scored on bones. In pre-literate societies, visual art takes on an objective technical function, especially when focussed upon time and the cyclic phenomena observed within time. The precedent for Britain’s stone circle culture is that of Brittany, around Carnac in the south, from where Megalithic Ireland, England and Wales probably got their own megalithic culture.

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