## Planetary Harmony

Planets, as seen from Earth, form a synodic period just greater than the solar year, this being quite different to their orbital period around the Sun. Synodic cycles are delineated by the earth passing by other planets during the earth's orbit, which we experience as the solar year. The lunar year, of twelve lunar months, has come into a strong harmonic relationship with the synodic periods of the outer planets; a fact this section explores. For important background information to what is posted here the reader should refer to my book *Harmonic Origins of the World, *to which these articles form a continuation.

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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, were it not deformed by its spinning once a day.

* 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**The Size of the Earth*

Half of this circumference forms a north-south meridian, known to be 12960 miles (of 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 are such numbers to be found very accurately, within a planet formed accidentally during the early solar system?

In the addendum of his booklet on Jerusalem, John Michell found the walls of the Temple Mount, extended for the rebuilding of the Temple of Solomon, were 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.

**12960** - the Greek miles between poles

This is a harmonic number made up only of harmonic prime number factors; 2, 3 and 5. The mean-earth circumference is therefore twice this, or 25920 Greek miles and therefore equal in year-miles to the ancient duration of the ancient estimate of 25920 years for the Precession of the Equinoxes.

777,600,000 - the geographical inches between the poles

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Readers of my article Lunar Counting from Crucuno Dolmen to its Rectangle will be familiar with the finding that in 32 lunar months there are almost exactly 945 days, leading to the incredibly accurate approximation (one part in 45000!) for the lunar month of 945/32 = 29.53125 days. In the previous article on Seascale I noticed that 36 lunar months (three solar years) divided by 32 lunar months is the Pythagorean tone of 9/8. This leads to some important thoughts regarding the tuning matrix of the Moon within the periods of the three outer planets, since the synod of Jupiter divided by the lunar year of 12 lunar months is the tone 9/8, the same tone that on "holy mountains" of Ernest G. McClain's ancient tuning theory, are only found between two tonal numbers separated horizontally by two perfect fifths of 3/2, since 3/2 x 3/2 = 2.25 which, normalised to the octave of 1 to 2, is 1.125 or 9/8.

If the matrix unit is one tenth of the lunar month, then three lunar years become 360 units which, taken to be do^{2} = D'' = the harmonic limiting number, which presents the matrix in figure 1.

*Figure 1 The Harmonic Matrix for 360 = 36 months, showing that the 32 lunar month period of 945 days starts the second row as harmonic number 320. Screen grabbed from my online app Harmonic Explorer for Ernest McClain's tuning mountains*

This matrix, being two dimensional, has to be read in one dimensional ways:

- The number 320 in the matrix is the 32 lunar month period whilst in between lies two lunar years as G=240.
- To the right of D = 360 lies 270 which is two Jupiter synods taking 27 lunar months.
- Saturn is the bottom left "cornerstone" of a-flat = 256: again lasting for two of it's synods of 12.8 lunar months.
- On top of the matrix is a periodicity of 25 lunar months during which exactly two synods of Uranus equal to 12.5 lunar months, complete.

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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,

- alignment to horizon events, exactly counted time periods using fixed measures (
**metrology**), - 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.

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Herodotus, 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.

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

*My recently released book,** Harmonic Origins of the World* (HoW) spliced,

- the ancient tuning theory implied by a wide ranging use of harmonic numbers in the ancient world (post 3000 BC) onto
- 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.

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

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