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.
Figure 2 The integer values and corresponding ratios between the lunar year and outer planets. (for the integer development please see Part 1 and Chapter 1 of Harmonic Origins of the World.)
The synods of the outer planets create interval ratios between each other that only employ the first three primes 2, 3 and 5; the primes used in ancient tuning theory. Since the lunar year is the 12 lunar months fitting within the solar year, one can see the units in figure 2 are 1/10th of a lunar month, and that the synods of the outer planets are 13.5, 12.8 and 12.5 lunar months, the creating the 9/8 (major tone), 16/15 (just semitone) and 25/24 (chromatic semitone). Already one can see that metrological feet, which were all ratios of the English foot, have all of these lunar ratios within their modules. 9/8 feet of Nippur, 16/15 foot of Persepolitan (and Samian), 25/24 of Roman and Manx. The ratio between Saturn and Jupiter is 225/224 of the Persian foot (21/20 feet). A later article will explore how, given a suitable length in feet, it was possible in the later megalithic to model the lunar year, Saturn and Jupiter synods in a single length.
Here we consider how the outer planets could have becomes formed, through their own orbital periods and that of the Earth (the solar year) that such a potential resonance with the lunar year should have even been possible. A number of years ago I looked at A Book of Coincidence by John Martineau, precursor of his Little Book of Coincidence, in which orbits of planets are exhaustively viewed from a sacred geometrical perspective. Orbital data makes it possible to also view the outer planets as a matrix diagram (as heavily used in Matrix of Creation) in a diagram I call "The Shield of Uranus".
Figure 3 The Shield of Uranus showing four major orbital periods commensurate with with each other and the solar day on earth.
A typical finding is that the 361 day year (of the "Hindus"), associated with Jupiter as Brihaspati, in which that planet traverses one zodiacal sign (of 30 degrees on the ecliptic), is inherent in the 4332 days of his orbit as 12 x 361 days. Thus the symbolism of Jupiter-Zeus as 12 is reconfirmed in his relationship to the Zodiac. In ancient tuning mountains, Saturn is the cornerstone a-flat whilst Chiron is g-sharp. One can see the 361 = 192 day period is held in common between Uranus and Jupiter, in an 85:12 ratio. It would be wrong to say that this is the product of accident, that a periodicity of the solar and lunar years should transform this "shield" of figure 3 into the ratios of Figure 2. If so then the early solar system, in its outer visible planets, must have arrived at an objective set of orbital periods conducive to their being a planet able, through its orbital period, rotation and large moon able to arrive at the condition of harmony with the outer planets.