Planets seen from Earth form a synodic period that differs from their orbital period around the Sun. Synodic cycles are delineated by the earth passing by other planets during its orbit, the solar year. The lunar year, of twelve lunar months, has come into harmony with the synodic periods of planets; a fact this section explores - further detailed in the book Harmonic Origins of the World.

The moon has enabled the semi-harmonic orbits of the outer planets (Jupiter, Saturn and Uranus) to become fully harmonic, expressing two of the three intervals necessary for the type of modal music found in the earliest civilization of the Sumerians. Harmonic Origins of the World plots how the ancient world from then on interpreted musical harmony as a cosmic principle, in which the harmonic planets were gods. This connection, between harmony, planets, and a divine world can only have emerged from the greatest astronomical culture in prehistory, responsible for building megalithic buildings and earthworks in many regions of the Earth, over the last seven thousand years. 

This website uses the basic techniques of these early astronomers,

  1. alignment to horizon events, exactly counted time periods using fixed measures (metrology),
  2. triangular, square, rectangular and circular geometries to enable comparison, calculation and simulation

to interpret their surviving monuments as to their purpose and thus learn from them what their astronomy might have revealed.


Figure 1 New Dawn No. 168 for May-June, 56-60.

Here I present how our historical metrology, which the Neolithic astronomers evolved, comes to have the metrological ratios that enable a single length to have modelled the synodic periods of the Moon (lunar year), Jupiter, Saturn (and Uranus). My recent article for New Dawn (issue 168) progresses, in one graphic, the ratios between the planetary synods and how these are transformed by the lunar year in its present length of 354.367 days. Probability not 100% proof can be offered; instead perhaps joy that such an ancient and important intellectual tradition should have come down to us in recognisable form, without writing. 

A Roman copy (2nd century AD) of a Greek bust of Herodotus from the first half of the 4th century BCHerodotus, the great 5th century BC historian, mentions that the key south-facing "datum" edge of the Great Pyramid was 800 feet long whilst in English feet, the best survey found it was 756 feet long. Dividing 800 by 756 gives a foot length of 0.945 feet (fractionally 189/200 ft). John Neal has called this foot the Samian foot, since Herodotus lived as a young body on the island of Samos, as did Pythagoras. Neal found another historical reference to the same ("Samian") module in the pre-metrification city standards of at least seven German cities;  in Danzig the variation was the Root value for the module (33/35 ft), in Bremen the Root Canonical (x 176/175),  in three others the Standard microvariation (i.e. x 441/440) and two more the Root (33/35).

The Samian module is therefore quite well attested by Neal as a historical measure, but my own work finds a new significance in it. Neal's Standard Canonical is a foot 0.945 feet long, where 1000 such feet are 945 English feet which, divided by 32, equals 29.53125 feet, the number of days in a lunar month. At Le Manio Quadrilateral, the 32nd stone from the "sun gate" origin of day-inch counting appears to signify 945 day-inches from which I discovered this relationship between 32 lunar months and 945 days of day counting, in any unit. Could the Samian foot (then using feet to count days) have used one thousand such feet to conveniently arrive at 32 lunar months? I will return to this, but also need to point to the apparent coding of 27 feet to represent months at the Crucuno complex. This led to finding that this same 27 regular feet is 29.53125 Iberian feet (each 32/35 feet), allowing days to be counted within a lunar month counted in units of 27 feet! One must also recognise that 27 feet is ten steps (viz. megalithic yards) of the Druzian foot from which the astronomical megalithic yard is derived as 176/175 of 2.7 feet. 

NE Cairn; half an hour before sunset [photo: Ian B. Wright, 2009] 

IBW Clava 6A bRightMy recently released book, Harmonic Origins of the World (HoW) spliced,

  1. the ancient tuning theory implied by a wide ranging use of harmonic numbers in the ancient world (post 3000 BC) onto
  2. the advanced solar and lunar horizon astronomy of the megalithic in Brittany, Britain, and Ireland.  

using my early finding (Matrix of Creation, 2002), that the lunar year has harmonic ratios to the visible outer planets.

In other words, the megalithic were led to find the whole tone and semitone ratios to Jupiter and Saturn through their work of counting the synodic period between the loops of these two planets, these results being responsible for that information (and their wider astronomical tradition) leaking into the foundations of what we call history. Later traditions, such as The Harmony of the Spheres, would allude to this prospectus: that the Earth had a musical planetary environment.

This article explores a megalithic complex called Clava Cairns, near Inverness, Scotland, and finds first evidence that the megalithic counted the synodic periods of Jupiter and Saturn and used this knowledge to inform the dimensions and design of these cairns. This might give clues as to how sun, moon, and outer planets were informing the design of monuments of those and later sacred spaces. A previous article on the alignments found at Clava cairns is in the British Megaliths section of this site

Some Metrology at Clava Cairns

Alignments to the solstice sun are at least symbolic of the solar year in between of 365 days. At Le Manio Quadrilateral one finds a count over three solar years of 1095 day-inches along the mid-summer solstice sunrise alignment and so counting was tied to the solstice sun in 4000 BC, in Brittany, and the strongest solstice alignment at these cairns is that of the passageways of the NE and SW cairns towards midwinter sunset. I will therefore look at the distance between these two cairns whilst also looking at other features and geometries associated with accurate time counting in days.

Balnuaren metrology

Figure 3 The distance between the small circular centres is 399 feet

First Published on Cosmic Harmonist with 6546 views.

The crucial entré to planetary harmony came when I noticed musical ratios in the synodic time periods of Jupiter and Saturn relative to the lunar year. This approach differs from the norm for "harmonies of the spheres" (a.k.a. Musica Universalis) that are geometrical and spatial rather than temporal.

My aim here is to prepare supporting material for my book, published March 2018, called The Harmonic Origins of the World, this by reviewing how these synodic periods were parts of my previous work from c. 2000, using "matrix diagrams". I will show (in my new book)how ancient tuning theory seems to have presented the same information. To avoid spilling all the beans I am now connecting the outer planets in a different (and useful) kind of diagram called the Pentad, evolved in the 20th century within Systematics (more on that in previous article).

FourSquare Jupiter Saturn

Figure 1 The harmonic ratios between the nearest two outer planets and the lunar year
The four square rectangle with side eaqual lunar year gives, geometrically, the 
solar year as diagonal length. The outer planetary synods are longer since
the planets have moved ahead of their last opposition to the sun, when
they appear to travel in a loop amongst the stars