**Basic Understanding of Vibration, Frequency and Harmonics**

**Vibration and Frequency**

**In understanding the properties of energy and how it works, it is important to understand: vibrations, frequencies, harmony and resonance.**

**Everything in creation, both living and non-living, is made up of moving energy. Even at the smallest levels, energy moves. Anywhere there is movement, there is vibration, and visa versa.**

**Vibration can be described as a periodic or cyclic motion between two extremes around a mid point; a guitar string for example. When the string is plucked it moves in a cycle between two extremes around a mid point, causing a sound wave to be produced at a particular note, or frequency.**

**The frequency is how many times are repeated in a second. (Cycles Per Second (Cps).) For example, to get note "A" requires 440 cycles per second, and achieved by tightening or loosening the strings.**

**By slowing it down to 1 Cps (below) this wave motion (sine wave) moves through a series of changes between two extremes, passing through a mid point.**

**It also demonstrates a + /- strength or amplitude, which are opposite polarities.**

**Everything that vibrates resonates at a fundamental or primary frequency, based on the configuration of energy that holds the matter together. A tuning fork is a good example of the precise configuration of matter to achieve a specific sound. A wind chime is also an example of the same material, at different lengths, each having its own unique fundamental frequency and sound. The examples below show various cycles per second, note that the base frequency is called the fundamental frequency. The fundamental frequencies for those shown below would be 1, 2, 3, 4 and 6 cycles per second.**

**Generally, Cps are expressed in Hertz (Hz), 1 cycle = 1 Hz. One thousand cycles would be 1 Kilohertz (Khz), one million cycles per second would be 1 Megahertz (Mhz), etc, human audio peak for sound is about 20 Khz.**

**Frequency is generally separated into bands within what is called the visible light frequency spectrum. These bands have a Frequency Range e.g. the High Frequency (HF) spectrum bandwidth is 3Mhz - 30Mhz, the Very High Frequency (VHF) spectrum bandwidth is 30 - 300 Mhz. For the purposes of this article only Cycles Per Second will be used. The Frequency Spectrum moves up through the Visible Light spectrum, into the subatomic vibrational bandwidths and beyond. It is at the subatomic level that kundalini and chi manifest. The energetic pattern radiated by these energies can be readily captured by Kirlian photography and it is now possible to measure and map the movement of Chi energy through meridians.**

**Harmonics**

A characteristic of energy generated by a vibration is that there will be a number of frequencies appearing up the frequency spectrum at multiples of the fundamental frequency. These are called Harmonics. The fundamental frequency is also the first harmonic.

A characteristic of energy generated by a vibration is that there will be a number of frequencies appearing up the frequency spectrum at multiples of the fundamental frequency. These are called Harmonics. The fundamental frequency is also the first harmonic.

**Fundamental**

**(Cps)**

**Harmonics (Cps)**

**2nd**

**3rd**

**4th**

**5th**

**6th**

2

4

6

8

10

12

3

6

9

12

15

18

4

8

12

16

20

24

5

10

15

20

25

30

6

12

18

24

30

36

**In the above example it can be seen that fundamentals share common frequencies at various harmonics e.g. 3 &4 share a common frequency, 12Cps at the 4th & 3rd harmonic. It can be said that at these points they are in harmony and resonate together at a common frequency. The above matrix becomes vastly more complex when all frequencies are considered.**

**The term sub harmonic is often misused when discussing frequency and harmonics. In a technical and scientific sense there is no such thing as a sub harmonic because fundamentals can only generate harmonics up the frequency spectrum. In the table above it can be seen that 4Cps will generate harmonics at 8, 12, 16, 20Cps etc. What is often called a sub harmonic is in fact a sub multiple of a fundamental or harmonic. Once again, referring to the table above in can be seen that 12Cps has a large a number of sub multiples including; 2, 3, 6 cps. Though sub harmonics cannot be generated naturally oscillators can be used to generate frequencies at the sub multiples that can be mixed with the fundamental, as they will resonate.**

**Whilst this statement is scientifically true, from an energetic principle it is false. Creational Law states that there is always an equal and opposite movement of energy for everything that is generated. From an energetic perspective there**

*is*a sub harmonic generated, that is not measured or captured by science, and in this creation it is generated into the non physical. Why? Because all movements of energy generated in the physical causes an opposite and opposing movement of energy or tone in the non physical; this is the basic nature of polarity in a fractured creation, polarity will always be expressed, in either the physical or non physical.**Frequencies resonate together when they share a common harmonic and are therefore said to be in harmony with each other, or they resonate. The following is an example of mixing frequencies together, in this case a 2Cps tone is mixed with a 24Cps tone, it can be seen that the 24Cps frequency follows the shape of the fundamental 2Cps tone.**

**If we were to look at this from a frequency spectrum perspective we would see the frequency spikes at 2 and 24 Cps.**

**DEAD BEAT**

When frequencies are mixed together they produce a frequency that is a composite of the whole. If two tones of the same frequency were mixed together, they would resonate. However, if one of the tones is then offset to be 180 degrees out of phase, or polarised opposite, then they would cancel each other out creating a dead beat.

When frequencies are mixed together they produce a frequency that is a composite of the whole. If two tones of the same frequency were mixed together, they would resonate. However, if one of the tones is then offset to be 180 degrees out of phase, or polarised opposite, then they would cancel each other out creating a dead beat.

When resonant frequencies are mixed together they become a composite if the whole. An analogy might be for example an orange, let us stay that the skin is 6 cps, the flesh is 8 cps, the juice is 10 cps, and gases are 12, when we mix all these frequencies together we have an orange.

**If we knew all the elemental frequencies of all parts of the orange we could develop a mathematical formula that would express the construction of an orange, based upon the frequencies that go to make up the orange's resonant frequency. This is why many are obsessed with the use of mathematics as they see that mathematics can be used to express aspects of creation by way of a formula.**

**If a tasteless and odourless 3 Cps non resonant toxin is injected into the orange, it would still, look, taste and smell like an orange, however it would be harmful. If one were to look at this from a frequency perspective they would see that a non resonant frequency exists at 3Cps. The solution to get rid of the toxic frequency would be to either remove it, or to apply a frequency of the opposite polarity to cancel it out, or Dead Beat it, which would be the antidote.**

THE HUMAN EXPRESSION

The human body consists of many elements of different properties and densities, skin, bone, various liquids, minerals, water, etc and these are woven together in an orchestrated symphony of tones that make up the physical form. This is called the body's Resonant Frequency, or energetic signature, sitting within the frequency bandwidth of human expression. The human form is

*special*in that it is able to resonate or tune into a very broad vibrational bandwidth of frequencies, from the gross to the subtle. There are a number of senses that can be used to tune into the subtle energies, each will have a predominant sense that is best developed or refined to tune into these energies. One's resonant frequency is unique to oneself; however these vibrations are generally a harmonic of Earth's own unique frequency, the creation which we are part of.

**Everything in creation vibrates, this includes both ends of the frequency spectrum, which is often termed Polar Opposites, good/bad, saintly/demonic, rich/poor, abuse/honour, Yin/Yang, male/female. It would be true to say that we all sit within the darker denser vibrations in one way or another, and that none are totally isolated from such energies. However, it is also true to say that the spiritual, emotion, mental and physical journey is to transcend the darker vibrations, and to embrace the higher tones of joy, happiness, love and freedom as an expression of one’s experience. The predominant vibration of one’s resonant frequency is based on the power of their thought form; changing thought form will change vibration. It is often said that light cannot shine without the dark, from which it comes.**

**Another phenomena in the human expression is that of Group Thought or Group Vibration. This is where a group of individuals generate a vibration based upon a common thought or theme such as nationality, sporting clubs, religion/spiritual beliefs, ideology and symbology etc. This group vibration creates an energetic flow, or movement of energy, that embraces all that participate. Usually, these vibrations sit within a defined bandwidth, one will either resonate (tune into) or not, with a particular frequency. Not all willingly participate in a particular group but do so because of the nature of the human dance.**

**SHAPES, FORMATIONS AND SYMBOLS**

Shapes, formations and symbols are known to generate certain vibrations. Conversely, vibrations, or tones, will also generated shapes, formations and symbols. Many of these shapes are often used in connection with spiritual or metaphysical endeavours. To get a visual understanding of how frequency generates shape the reader is asked to check the following link; if you are on dial up it may take a while to watch the whole clip

Shapes, formations and symbols are known to generate certain vibrations. Conversely, vibrations, or tones, will also generated shapes, formations and symbols. Many of these shapes are often used in connection with spiritual or metaphysical endeavours. To get a visual understanding of how frequency generates shape the reader is asked to check the following link; if you are on dial up it may take a while to watch the whole clip

**http://www.youtube.com/watch?v=Zkox6niJ1Wc**

**I would like now to provide a very basic explanation of wave mechanics and vibration to shape relationship. If we were to take a previous example of standing wave created by a guitar and view it on an oscilloscope it will be seen that there is an extreme vertical movement at the top and bottom of the wave. There are also portions of the wave where there is no vertical movement which is at the mid point of the cycle. It has been demonstrated that at these points nodes will be generated, the higher the vibration the more nodes there will be.**

Two dimensionally the node concept can be used to describe how geometric shapes, such as a triangle, square, pentagon, hexagon etc, are created when the nodes are joined together by lines. These shapes produce a vibrational resonance that has a basic energetic movement from a two dimensional perspective. When geometric shapes are inscribed within a circle; which is representative of a cycle, unity or completeness, they produce a tone or energetic signature.

**These two dimensional geometric shapes are often used for energetic symbology in the metaphysical community to denote a particular spiritual significance of the electrical sacred geometry. In some yogic teachings these geometric shapes also have significance in relation to chakras and colour.**

**There is also another form of sacred geometry derived from shapes, and this has to do with three dimensional shapes, or formations. These shapes are based upon the triangle, square and pentagon, and are called polyhedrons which are known as Platonic Solids**

*.*At the present time there are only five known shapes identified by scientists, and these are the four-sided tetrahedron, six-sided cube, eight-sided octahedron, twelve-sided dodecahedron and twenty-sided icosahedron. Each of the formations has the same shape on every side, with each line in the formation being the same length, and all the internal angles will be the same. Additionally each formation will fit perfectly inside of a sphere, with all points touching the edge of the sphere without overlaps. It can be seen that the triangle forms the face of the octahedron, tetrahedron and the icosahedron, squares form the face of the cube, and the pentagon the faces of the dodecahedron. What we are basically seeing here are three dimensional representations of vibrational energy in their basic form.**Tetrahedron - Octahedron - Cube - Icosahedron - Dodecahedron**

**From a three dimensional perspective as the nodes cluster together in a sphere they begin to create 3 dimensional shapes. These shapes are formed in a sphere, just as the two dimensional shapes are formed in a circle. 4 nodes evenly spaced will create a tetrahedron; 6 nodes form an octahedron; 8 nodes form a cube, twelve nodes form a icosahedron and twenty nodes a dodecahedron. The straight lines that can be seen on the geometric shapes represent the stresses that are caused by the closest distance between two points for each of the nodes as they spread themselves across the surface of the sphere.**

**In relation to polarity every movement of energy generates an opposite and opposing movement of energy, or polar opposite, and this is also the case with Platonic shapes which also have a dual. For every Platonic polyhedron there exists another Platonic polyhedron in which faces and vertices occupy complementary locations, which is known as the dual, or reciprocal. The dual of Platonic solids can be created by connecting the midpoints of the sides surrounding each polyhedron. The term symmetry is used to describe the relationship between the shapes, symmetry can best be described as balance amongst systems, or between parts of systems.**

**The process of forming duals for the Platonic solids is illustrated below. The top row shows the original solids. The middle row shows the vertex figures of the original solid as lines superimposed on the tangential polygons, forming the corresponding duals. Finally, the polyhedron compounds consisting of a polyhedron and its dual are illustrated in the bottom row.**

**Please read the following quote:**

*Both the students of Buckminster Fuller and his protégé Dr. Hans Jenny devised clever experiments that showed how the Platonic Solids would form within a vibrating / pulsating sphere. In the experiment conducted by Fuller’s students, a spherical balloon was dipped in dye and pulsed with “pure” sound frequencies, known as the “Diatonic” sound ratios. A small number of evenly-distanced nodes would form across the surface of the sphere, as well as thin lines that connected them to each other. If you have four evenly spaced nodes, you will see a tetrahedron. Six evenly spaced nodes form an octahedron. Eight evenly spaced nodes form a cube. Twenty evenly spaced nodes form the dodecahedron, and twelve evenly spaced nodes form the icosahedron. The straight lines that we see on these geometric objects simply represent the stresses that are created by the “closest distance between two points” for each of the nodes as they distribute themselves across the entire surface of the sphere.*

Sacred Geometry in the Quantum Realm

Sacred Geometry in the Quantum Realm

**The relationship between the polyhedrons and structure of crystals and minerals is well known. Table salt is an example of how two different elements, sodium and chloride bond together to form a Platonic Solid of the Cube. Though water is not a crystal in the liquid state, the water molecule is made up of two hydrogen and one oxygen atom that form together in the shape of a tetrahedron. Another example is fluorite crystals which form the octahedron, basically all crystalline structure in creation has a molecular structure based upon either the tetrahedron, cube and octahedron. All these crystalline structures are capable of conducting "electricity" to some degree or another. There is no known natural mineral or molecule that exhibits the properties of the icosahedron or the dodecahedron, whilst these shapes have symmetry they do not have periodicity, (don’t ask!!! Too hard to explain, google it), as crystal formations. However, scientists have been able to manufacture material that has icosahedron or the dodecahedron structures. These crystals are often called quasi crystals, material made with this structure has an extremely high strength, resistance to heat and will not conduct electricity. An example of two such materials are aluminium-copper-iron quasi-crystal alloy, which has the dodecahedron shape, and aluminium-cobalt-nickel alloy which has the shape of a decagonal 10 sided prism.**

**Platonic Shapes and sacred geometry has expressed across nearly all aspects of the metaphysical community. It has often been said that the Platonic Shapes represent following elements:**

**Tetrahedron - Fire**

**Cube - Earth**

**Octahedron - Air**

**Icosahedron - Water**

**Dodecahedron - Ether (though this is not mentioned literature ancestors provided this information)**

CONCLUSION

Though I have dealt mainly with sound in presenting this information the same principles apply for the movement of energy, and light body, as the atoms bind together in symmetry to from matter. Therefore, relating this to energy the double tetrahedron represents the most basic movement of energy to manifest creation. It can be seen that as the complexity of symmetry increases as the shape, or pattern, becomes more circular in nature. This concept can also be related to the human Light Body, attaching the strands of DNA as one moves up in vibration towards a rotational triple circle energy flow.

**The node principle is represented in a number of the LoO symbols. In particular**

**Holographic Field Rotation, which represents the building of 12 nodes, strands, or light body segments, with the centre point node being soul infusion. Another is the LoO symbol of Holographic Flow which shows that creation is modulated by 6 sweeping arms, bandwidths or densities. The large nodes represent the 6 base tones, and the smaller nodes represent the harmonics and sub harmonics that make up the frequency spectrum for each density. The Ancestors, Magpie and Mineral Kingdom will be exploring these and many other concepts in the upcoming articles.**

**Manymak (main-mak), Yolgnu for; everything is good, every thing is as it should be, or OK**

**Ken**

**UPDATE SEPTEMBER 2006: Magnetricity: the Magnetic Atom**