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. 

Models of Time within Henges and Circles

image: composite, see figure 1 below

Presenting important information clearly often requires the context be shown, within a greater whole. Map makers often provide an inset, showing a larger map at a smaller scaling (as below, of South America) within a detailed map (of Southern Mexico).

This map is shown in the context of South America with a yellow rectangle which is the part blown up in scale. The subject is the Quetzal birds range which corresponds well to the Olmec then Maya heartlands leading to the god named Quetzalcoatl or Feathered Serpent. (see chapter 8 of Heath, 2018.)

Megalithic astronomy generated maps of time periods, using lines, triangles, diameters and perimeters, in which units of measure represented one day to an inch or to a foot. To quantify these periods, alignments on the horizon pointing to sun and moon events were combined with time counting between these events,where days, accumulated as feet or inches per day, form a counted length. When one period was much longer than another, the shorter could be counted in feet per day and the smaller in inches per so that both counts could share the same monumental space. In this article we find the culture leading to megalithic astronomy and stone circles, previously building circular structures called henges, made of concentric banks and ditches.

Thornborough Henge
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Iceland’s Model of the Earth’s Meridian

Einar Palsson [1, at end] saw that the myths of foundation for Iceland’s settlement in 930 had Pythagorean roots. Since then Petur Halldorsson has identified patterns that could not have been influenced by Pythagoras (c. 600 BC) and Pythagoras was known to have adapted the existing number sciences found (according to his myth) from Egypt to China.

Such patterns, called Cosmic Images by Halldorsson [3], seek to establish a geometric connection between places on the landscape and on the horizon, here in the south-western region near Reykjavik, the only Icelandic city. The spirit of a region or island was integrated through organising space in this way, according to centers (Things) of circles and their radius and diameter as numbers of paces, circles punctuated with places and alignments to other places, horizon events or cardinal directions. John Michell provided a guide to some of the techniques in his books [2, at end].


Figure 1 The Cosmic Image east of Reykjavik proposed by Palsson
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Palsson’s Sacred Image in Iceland

Extracted from The Structure of Metrology, its Classification and Application (2006) by John Neal and notes by Richard Heath for Bibal Group, a member of which, Petur Halldorsson, has taken this idea further with more similar patterns on the landscape, in Europe and beyond. Petur thinks Palsson’s enthusiasm for Pythagorean ideas competed with what was probably done to create this landform, as he quotes “Every pioneer has a pet theory that needs to be altered through dialogue.” Specifically, he “disputes the Pythagorean triangle in Einar’s theories. I doubt it appeared in the Icelandic C.I. [Cosmic Image] by design.” Caveat Emptor. So below is an example of what metrology might say about the design of this circular landform.


Figure 1 of Palsson’s (1993) Sacred Geometry in Pagan Iceland
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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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Review of Precessional Time and the Evolution of Consciousness

My third book (Inner Traditions, 2011) was recently reviewed by Paul Young in New Dawn magazine March-April 2019.

It is said that we are transiting from the Age of Pisces to the Age of Aquarius in a backward precession through the 12 zodiacal signs. Examining the numbers that define these Ages is one of the core themes of this book.  The basic premise is that stories – some of them handed down orally since Neolithic times – enable us to identify the inner spiritual aspects within our material world and participate in the evolution of human consciousness foretold by ancient myths. The author is greatly influenced by G.I. Gurdjieff and his Law of Seven, albeit with revisions of his own.

Readers such as myself, for whom mathematics is not their strong suit, need not be daunted by the many sets of figures presented in this book. They are important as supporting evidence for the theories presented, and their comprehension is made easier by the use of diagrams. Moreover, the fractions and ratios are often related to musical octaves and the Do-Re-Mi music-reading system.

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