Harmony of the Biblical Patriarchs

This extract from The Harmonic Origins of the World (p58-62) shows how what are taken to be arbitrary numbers, in the narrative of the Patriarchs, expressed knowledge of planetary resonances.

above: Diagram of the Bible code of “holy mountains”: Products of the powers of five upwards and of the powers of three across, each mountain within a limiting number if note D is {60, 120, 45, 180, 720} .

Female archetype Eve, “mother of all living,” becomes Abram’s wife Sarai. Childless, Abram was encouraged (by Sarai) to have first son Ishmael by concubine Hagar, but the Lord God (the mountain god whose number sums to 345) renames Sarai as Sarah and Abram as Abraham. At a miraculous 90 years of age she gives birth to Isaac (“he laughs”), then reportedly dies at 180 years old. It is harmonically relevant that (a) the giving of heh = 5 to both Sarah and Abraham elevates them from their former selves onto the second row, “stepping up” like the god Ea in Sumeria, and that (b) Adam’s number 45 has now been doubled to 90 and can form an octaval womb in which Isaac can be born, his life to then end at the doubling of Sarah’s 90 years to 180 years.

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The Geocentric Orbit of Venus

It is helpful to visually complete the movement of Venus over her synodic period (of 1.6 years) seen by an observer on the Earth.

figure 3.13 (left) of Sacred Goddess in Ancient Goddess Cultures
version 3 (c) 2024 Richard Heath

In the heliocentric world view all planets orbit the sun, yet we view them from the Earth and so, until the 16th century astronomy had a different world view where the planets either orbited the sun (in the inner solar system) which like the outer planets orbited the earth, this view called geocentric. The discovery of gravity confirmed the heliocentric view but the geocentric view is still that seen from the Earth.

The geocentric was then assumed to be wholly superseded, but there are many aspects of it that appear to have given our ancestors their various religious views and, I believe, the megalithic monuments express most clearly a form of astronomy based upon numbers rather than on laws, numbers embedded in the structure of Time seen from the Earth, and hence showing the geocentric view had more to it than the medieval view discarded by modern science.

Venus was once considered one part of the triple goddess and the picture above shows her complete circuit both in the heavens and in front of and behind the sun. The shape of this forms two horns, firstly in the West at evening after sunset. Then she rushes in front of the sun to reemerge in the East to form a symmetrical other horn after which she travels behind the sun to eventually re-emerge in the West in a circuit lasting 1.6 years of 365 days, more precisely in 583.92 days – her synodic period.

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Phenomenology as an Act of Will

“Philosophizing consists of inverting the usual direction of the work of thought.” – HENRI BERGSON

  1. Preface
  2. Primacy of low whole numbers
  3. Why numbers manifest living planets
  4. Numbers, Constants and Phenomenology
  5. Phenomenology as an Act of Will

Please enjoy the text below which is ©2023 Richard Heath: all rights reserved.

Contemporary beings see the world in ever more functional and descriptive ways, where a form of words, or a mathematization of the world, overlays the actual sensory experience of it. This has made our task, of interpreting previous Ages, and their big ideas, prone to errors, pitfalls and presumptions. And the notion of there being a Universal Will of some sort seems, since the medieval period, highly optimistic: for why should humans be able to know more than our scientific instruments can tell us or be able to know the universe as a single whole, still connected to Everything. For myself, applying the phenomena of numbers found within the counted periodicities of celestial motions seem to give the key to an alternative world, hidden from modern science.

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Numbers, Constants and Phenomenology

  1. Preface
  2. Primacy of low whole numbers
  3. Why numbers manifest living planets
  4. Numbers, Constants and Phenomenology
  5. Phenomenology as an Act of Will

Please enjoy the text below which is ©2023 Richard Heath: all rights reserved.

We have seen that the early numbers define the world of musical harmony but other important patterns arise within the ordinal numbers such as,

  • the Fibonacci approximations to the Golden Mean (phi = 1.618),
  • the Exponential constant (e = 2.718, the megalithic yard), from which trigonometry of the circle arises naturally,
  • the radial geometrical constant, (pi = 3.1416) as approximated by rational fractions {π = 22/7 25/8 63/20 864/275} and
  • the triangular progressions of square roots, as another development of the early numbers (in space) as geometry, also approximated by rational* numbers (rational meaning “integer numbers that can form mundane ratios”).

The transcendent (or irrational) ratio constants * (first mentioned in the Preface) are the visible after-effects of the creation of time and space. They must be part of the framework conditions for Existence, these also creating harmonic phenomenon that are not transcendent; these relying instead (as stated) on the distance functions of ordinal numbers: their distance from one and their relative distance from each other, lying beneath the surface of the ordinal numbers. Ordinality, to modern thought a universal algorithm for such distances, explains or defines what is harmonious in the physical world and in what way. Significant distance relations, such as those found in the early ordinal numbers, must then be repeated at ever greater doubling, tripling and so on {1 2 3 4 5 6} => {45 90 135 180 225 270}, where units can be scaled up by any number to become the larger structures, within any greater micro-cosmos. This is especially seen within ancient number science and its primary context of octave doubling, where what lies within octaves vis-à-vis scales and octaves within octaves, requires the right amount of up-scaling, as in the cosmology of Will (and not of Being), presented by G.I. Gurdjieff from 1917 onwards.

The illusion of number is that one can never penetrate the ubiquitous unitary distance of 1, the unity which becomes the ordinals which are so many exact assemblies of one; and of their ratios, so that one is not a number nor a transcendent ratio but rather is Number is the primordial Thing: a transcendent wholeness, found in every unit that causes relatedness through intermediate distance, or proximity. One is like Leibnitz’s Monads applied to the cosmic enterprise of universe building, as a fully quantified Whole and its Parts.

“The Absolute, that is, the state of things when the All constitutes one Whole, is, as it were, the primordial state of things, out of which, by division and differentiation, arises the diversity of the phenomena observed by us.”

Gurdjieff. In Search of the Miraculous page 76.
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Why numbers manifest living planets

above: The human essence class related to four other classes in J.G. Bennett’s Gurdjieff: Making a New World. Appendix II. page 290. This systematics presents the human essence class which eats the germinal essence of Life, but is “eaten” by cosmic individuality, the purpose of the universe. The range of human potential is from living like an animal to living like an angel or demiurge, then helping the cosmic process.

  1. Preface
  2. Primacy of low whole numbers
  3. Why numbers manifest living planets
  4. Numbers, Constants and Phenomenology
  5. Phenomenology as an Act of Will

Please enjoy the text below which is ©2023 Richard Heath: all rights reserved.

The human essence class is a new type of participation within the universe where the creation can form its own creative Will, in harmony with the will that creates the universe. The higher intelligences have a different relationship to the creation than human intelligence. It is based upon this Universal Will (to create the universe) which has manifested a world we can only experience from outside of it. And the creative tip of creation* is the universal life principle that led to the human world where it is possible to participate in the intelligence behind the world, through a  transformation into an Individuality, creative according their own pattern while harmonious with the universal will.

*creative tip: The evolving part of organic life is humanity. Humanity also has its evolving part but we will speak of this later; in the meantime we will take humanity as a whole. If humanity does not evolve it means that the evolution of organic life will stop and this in its turn will cause the growth of the ray of creation to stop. At the same time if humanity ceases to evolve it becomes useless from the point of view of the aims for which it was created and as such it may be destroyed. In this way the cessation of evolution may mean the destruction of humanity.

In Search of the Miraculous. P.D. Ouspensky. 306.
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Counting the Moon: 32 in 945 days

One could ask “if I make a times table of 29.53059 days, what numbers of lunar months give a nearly whole number of days?”. In practice, the near anniversary of 37 lunar months and three solar years contains the number 32 which gives 945 days on a metrological photo study I made of Le Manio’s southern curb (kerb in UK) stones, where 32 lunar months in day-inches could be seen to be 944.97888 inches from the center of the sun gate. This finding would have allowed the lunar month to be approximated to high accuracy in the megalithic of 4000 BC as being 945/32 = 29.53125 days.

Silhouette of day-inch photo survey after 2010 Spring Equinox Quantification of the Quadrilateral.

One can see above that the stone numbered 32 from the Sun Gate is exactly 32/36 of the three lunar years of day-inch counting found indexed in the southern curb to the east (point X). The flat top of stone 36 hosts the end of 36 lunar months (point Q) while the end of stone 37 locates the end of three solar years (point Q’). If that point is the end of a rope fixed at point P, then arcing that point Q’ to the north will strike the dressed edge of point R, thus forming Robin Heath’s proposed Lunation Triangle within the quadrilateral as,

points P – Q – R !

In this way, the numerical signage of the Southern Curb matches the use of day-inch counting over three years while providing the geometrical form of the lunation triangle which is itself half of the simpler geometry of a 4 by 1 rectangle.

The key additional result shows that 32 lunar months were found to be, by the builders (and then myself), equal to 945 days (try searching this site for 945 and 32 to find more about this key discovery). Many important numerical results flow from this.