Sacred Geometry
Harmonics is the study of the rhythms and sub rhythms of cosmic periods. It is a study that is rapidly taking a whole melange of astrological techniques and bringing them to a coordinated, simplified and unified whole.
Where once some methods of delineating a chart were considered to be superior to others, it is now seen that, at a level invisible to the eye, everything is connected.
That connection is through the medium of number. Number participates in a continuum that unfolds in time and the properties of number allow multiples of meanings to be used interchangeably to create the whole fabric of the Universe.
One of the greatest leaps in astronomical and astrological thought came from Johannes Kepler. Kepler’s laws of planetary motion, and harmonics divulge the connection between planets and cycles through the medium of proportion and rhythm. Through the further development of these laws, where once we only understood the geometry of specific angular divisions of the chart, known as aspects, we now understand the wider implications of the wave motion they represent. As a result we have come to understand how those aspects might represent vibrational qualities that resonate throughout the Universe.
In an outline of Kepler’s astrology, Wolfgang Pauli commented that, according to Kepler, individual souls have the ability to react to certain harmonious proportions, which correspond to specific rational divisions of a circle. In music, this ability is revealed in our perception of euphony or consonance in certain musical intervals. Our souls are said to be able to react similarly to harmonious proportions of angles that rays of stellar light make with each other when they strike the earth. In the case of planets, these are the aspects of traditional astrology.
Although the original idea of a ‘harmony of the spheres’ descends from before Christ, Kepler was instrumental in helping us to understand the inherent order and perfection of our World. As Sir James Jeans once said “he (God) is addicted to arithmetic”.
One branch of scientific thought that works with the concept of number is Archaeocryptography. The A-cryptographer work with ancient sites and monuments and explore their relationship to number. In the course of their studies they have come up with some astounding information which can only lead one to surmise that although Kepler discovered certain laws, he was possibly only a conduit through which knowledge flowed from a greater Consciousness.
For it would seem that the ancient civilisations possessed an understanding of number, geometry and proportion beyond any level we could have imagined.
For instance, in Wiltshire, England lies the megalithic structure, Stonehenge. This site once comprised of 30 stones with 30 lintels laid on top. The perimeter of the site is enclosed by a 360-degree circle. If you multiply 60 by the 360 degree circle you obtain the number 21,600.
The location of Stonehenge is 51 degrees, 10 mins and 42,3529411764 seconds of latitude north of the equator which, when multiplied also produces 21,600 (51 X10X 42,3529411764) and yet the people of that time in history were not supposed to have known that a circle had 360 degrees of arc
What is this synchrony?
In Mexico there is a pyramid known as The Pyramid of Magicians in Uxmal.
It is apparently one of the only ones to be square sided and round cornered. So it is the merger of two common geometrical forms, the circle and the square.If you square a circle i.e. 360 squared, 360 squared = 129,600 (: 120
Harmony Of The Spheres
Everyday we witness synchronicity in the Universe. There is a harmony to the planetary cycles and if we listen for the tune, and become acquainted with the rhythm, we can dance in synchrony with the song called Life.
In order to demonstrate to those who doubt, I want to talk a little more about the subject of harmony. Antoine de Saint-Exupery once wrote; “All that is essential is invisible to the eye.” He was clearly being philosophical in his musings. We cannot ’see’ Love or Consciousness but neither do we question whether they exist.
However, lets discuss the quote from a more tangible perspective.
Recently it was revealed that a new security deterrent has been launched on the market. It is a box, the size of a speaker, which can be mounted in ways akin to a CCTV camera. The device is placed in areas of high crime, or where youths tend to congregate on street corners. It has been shown that groups of teenagers cause distress and concern to elderly pedestrians, local shopkeepers and homeowners. The box emits a noise that is only audible to teenagers and those in their early twenties. The noise is so loud and irritating that the youths cannot bear to be around it for any length of time and quickly disperse.
This remarkable development is called a Mosquito The noise is delivered in high frequency, short wavelengths (pulses) and the device works on the fact that from our mid twenties, the human ear experiences a big drop in its ability to hear upper frequency sounds.
Let’s repeat the salient point; The device is totally inaudible to those above 25 years of age !
Now, we take it for granted that animals have different aural abilities. These ultrasonic devices are commonplace in the form of dog whistles or cat deterrents. However, what does this development indicate when it is apparent that a proportion of our population have access to information that the rest of us don’t?
We can be flip and cite this as the reason that teenagers like music which adults find distinctly unpleasurable - we now know they are literally hearing something different to us. The implications though are worthy of further sensible discussion, for this device takes ESP out of the realm of the occult and places it slap, bang into the High Street! It has to be viewed as a tacit vindication of those who have long professed to possess the gift of Clairaudience (the ability to hear things not audible within normal hearing ranges).
Our military forces have probably been using these techniques for years, just as they use remote viewing and other ESP techniques, yet deny their existence to the masses. However, what I want to focus on here is that this is yet another invisible force hidden within the usage of wavelength.
Our ethers are already full of invisible wavelengths - TV signals, phone and radio signals. Infrared. Microwave, X-ray, Gamma rays and yet we can see none of them. Some are discerned by us as noise, some as heat and, I would posit, some by an invisible feeling which we know as intuition.
It is apparent that by slight alterations in the length, amplitude and phasing of soundwaves their manifestation is altered in the physical world. At certain frequencies (speed of light) we can hear our favourite Radio chat show. Just a slight alteration and we may be able to tune into the nearest airport control tower or the telephone conversation of other people. What else are we able to tune into?
And furthermore what, or where, is the internal dial or mechanism which once found could allow us to naturally tune into ‘invisible to the eye’ information?
Did you know that the light which we ’see’ is really just an energy? The brightness at which we view a light source depends upon the number of photons which strike our eyes. Photons contain wave packets of information. A large number of photons mean the light source appears bright, fewer make it dimmer.
The colours that we perceive aren’t really there either. The colours that we do ’see’ are determined by the wavelength - a shorter wavelength makes us see something as blue-er, a longer wavelength appears redder. Fundamentally then, all electromagnetic radiations are the same but each carries a different energy. This energy is distributed in a wave pattern known as an harmonic. Thus all of life can ultimately be related back to a number.
When we look at the use of certain rhythmic frequencies we can also see that they possess a power. We all know the story of the opera singer who can shatter glass. Stories abound of string instruments which start playing themselves when notes of a similar frequency are played nearby. And let’s cast our minds back to the opening of the London Millennium Bridge.
Here, in an extract from Wikipedia, is what happened:
The Millennium Bridge opened in London on June 10, 2000 but unexpected lateral vibration (resonant structural response) caused the bridge to be closed just 2 days later for modifications. The movements were produced by the sheer numbers of pedestrians (90,000 users in the first day, with up to 2,000 on the bridge at any one time).
The bridge was on the route of a major charity walk and it was an exceptionally fine day. The initial small vibrations obliged the users to walk in synchronisation with the sway, increasing the effect, even when the bridge was comparatively lightly loaded at the beginning of the day. This swaying motion earned it the nickname the Wobbly Bridge. Attempts were made to limit the number of people crossing the bridge: this led to long queues, but dampened neither public enthusiasm for what was something of a white-knuckle ride, nor the vibrations themselves.
Resonant vibrational modes have been well understood in bridge design. However this was the first time a bridge had displayed this type of pedestrian excited lateral motion. This motion was caused by the human reaction to small lateral movements in the bridge, which set up a driven harmonic motion in the bridge.
The bridge had to be closed, not only because it was impassable but because these rhythms set up a vibration which has the power to damage the structure of the bridge.
Theories exist in esoteric literature that it was knowledge of this force that helped build the Pyramids. Certain rhythmic sound frequencies when used positively are said to have the power to levitate heavy objects, whilst when used at another vibrational frequency, sound has the power to destroy, such as in the fall of the Walls of Jericho - ‘the Priests blew the trumpets, the people shouted and the walls fell flat’.
Chording into the symphony that governs life is our avian population. Birds are thought to set up resonances through their song. These trigger certain manifestations in the natural world, such as the opening of certain flowers, or signals which order the behaviour of other wildlife, flora and fauna. Where the destruction of our birds would leave us in the event of a global ‘Bird Flu‘ pandemic, is a subject worthy of great consideration.
There are infinite demonstrations of the synchrony in the Universe emanating from the harmonic rhythms which flow through every facet of life. Nowhere is this more readily available for scrutinisation than in the study of Zipf’s law.
ZIPF’S LAW
This law is known as a power law. Roughly translated it states that the frequency of occurrence of an event will eventually settle down into a harmonic arrangement. This law can be observed at work in a multitude of events. Amongst the most common are.
Frequency of accesses to web pages
Frequency of keyword usage in a search engine
Words in the English language
For instance, words in Shakespeare’s play Hamlet.
Populations of cities
Income Distribution amongst the top earning 3% of individuals
Size of earthquakes
Notes in musical performances
Revenue of corporations
Gold records by musical artist
Internet traffic by site
Names in a population
To take ‘Populations of cities’ as an example, George Kingsley Zipf took the population of 50 cities in the United States in 1930. He discovered that if New York was the largest, the second largest city has half the population of New York, the third largest has one third the population of New York and so on down until the 50th city which had exactly one fiftieth the population of New York. This holds true today and across the series of examples above and many others too.
The reason for this is not understood by physicists. Yet once again computers are now proving what many have known all along - the truth of Universal harmony.
Our World orders itself in natural rhythms. Our planets are part of that harmony (a harmony of the spheres) and it is my belief that the ancient art of Astrology remains one of the only disciplines that is able to translate the ‘music’ into a cohesive understanding, or an En-light-enment, of our place in the greater order of things.
Kathryn Cassidy is a professional astrologer. She was first taught by traditional astrologer, Derek Appleby and later worked with Sun sign astrologer Jonathan Cainer for four years before securing her own astrology column in an internationally distributed magazine - Journal.
She now hosts a blog called Collaborating With Fate http://collaboratingwithfate.blogspot.com
where she discusses all aspects of astrology, with an emphasis on planetary cycles and the harmonic rhythms inherent in our Universe.