Galileo
wrote that "geometric shapes are the alphabet
in which the book of nature is written." Geometry is
nature’s language of relationship.
Sacred geometry literally means “the
measure of the earth." It holds the key to how non-physical
energy creates the manifest world through specific patterns
of subtle energy.
These geometric codes or universal laws of
vibration, contain the musical, mathematical and archetypical
patterns that govern and influence our formative universe
and create harmony and coherence.
What is Sound?
“The universe is alive with sound and
within all sounds are harmonics. Harmonics, also known as
“overtones” are a phenomenon of sound that occurs
whenever sound is created. Normally we perceive what seems
like single tones when we hear a note struck on a musical
instrument. However, nearly all tones that are produced by
musical instruments, our voices or other sound sources are
in reality not pure tones, but mixtures of pure tone frequencies
called partials. The lowest such frequency is called the fundamental
and all partials higher in frequency than the fundamental
are referred to as overtones or harmonics. Overtones are present
in our voices and in fact, they are responsible for our own
unique speaking and singing qualities” commonly referred
to as a frequency signature.
Pythagoras, (the 6th Century Greek Master of
mathematics and harmonics) spoke of the Music of the Spheres.
"He taught that the movements of the heavenly
bodies traveling through the universe created sounds. These
sounds could be perceived by those who had been consciously
trained to hear them.
"Recently, scientists using advanced mathematical
principles based on the orbital velocities of the planets
have equated different sounds with different planets. Amazingly,
they seem to be all harmonically interrelated.
"Anything that vibrates creates harmonics.
Since the universe is composed of nothing but vibrations,
everything creates fundamental tones and harmonics, ranging
from electrons orbiting around atoms to planets orbiting around
the sun.
Pythagoras applied his law or harmonic intervals to all the
phenomena of nature, demonstrating the harmonic relationship
between the elements, the planets and the constellations."
Power of Harmonics by Jonathan Goldman
The Music of the Spheres is the Universal Song that vibrates
throughout our Cosmos. It is the song that establishes the
harmonic coherency of our world of form from all the planets
in our solar system down to sub-atomic particles.
Cymatics
The study of the resonance patterns of different sound frequencies,
which is known as CYMATICS shows in detail the amazing power
of sound and how it changes and shapes the structure of matter.
The Article - Sound Insights by Jeff Volk - click for PDF
format article (911KB) explains in detail this universal
principle.
Every form of Matter is an outer and lower reflection of
the inherent geometric information which flows from a higher
order. Hence it is not the matter itself that is responsible
for its energy content but the geometry of the energy field
that structures the matter.
Sacred Geometry and Wind Harp Design

Square root of 3 and the Vesica
Piscis

Infiniti Wind Harp ©1995 |
Our intention in designing the Wind Harp is to create a structure
that is not only sensitive enough to resonate with the geometry
of nature but also resonate with the geometric structure of
the listener. Towards this end one of the primary design models
we use is the Vesica, which is incorporated into the Infiniti
series of Wind Harps. We use what is considered a three dimensional
Vesica which creates the form of the trinity or triune. We
have found this simple geometry to not only be very aesthetically
pleasing to the eye but also lends itself to a stringing configuration
that allows for tuning the harp in resonance with a natural
harmonic sequence.
The First Human Experience of Geometry
©Richard Feather Anderson 2004
The fertilized egg desires to incarnate. The egg divides;
the one becomes two by creating a reflection of itself i.e.
cell division.
The two cells pull apart to a precise distance from nuclei
to nuclei. The overlapping space creates the Vesica Piscis;
the “Mother of Form” The relationship of the distance
between the two nuclei compared to the length of the new cell
wall between the two is in the ratio 1:√3.
The Vesica Pisces is formed by the intersection of two circles
or spheres whose centers exactly touch. This symbolic intersection
represents the "common ground", or "shared
vision" between equal but separate individuals. i.e.
“The Truth is what the opposites share in common.”
The vesica is the perfect balance between the yin and yang;
it is the 3rd force that transcends duality. The shape of
the human eye itself is a Vesica Piscis. The spiritual significance
of "seeing eye to eye” into the "mirror of
the soul" was highly regarded by numerous Renaissance
artists who used this form extensively in art and architecture.
The ratio of the axes of the form is the square root of 3,
which alludes to the deepest nature of the triune which cannot
be adequately expressed as a finite number.
If the width of the Vesica is unity then the height is the
square root of 3 = 1.7320508 ~ ∞ which is considered
a transcendental number because it will never resolve itself.
The Platonic Solids
 |
| Tetrahedron |
Cube |
Octahedron |
Dodecahedron |
Icosahedron |
|
The 5 Platonic solids (Tetrahedron, Cube or (Hexahedron),
Octahedron, Dodecahedron & Icosahedron) are primal models
of crystal patterns that occur throughout the world of minerals
in countless variations. To the Greeks, these solids symbolized
fire, earth, air, spirit (or ether) and water respectively.
The cube and octahedron are duals, meaning that one can be
created by connecting the midpoints of the faces of the other.
The icosahedron and dodecahedron are also duals of each other,
and three mutually perpendicular, mutually bisecting golden
rectangles can be drawn connecting their vertices and midpoints,
respectively. The tetrahedron is a dual to itself.
Sonic Geometry as Wind Harps

Geometric Shape - Double Tetrahedron
Wind Harp – Trinity, Design © 1992
|

Geometry - Nested Icosahedron/Dodecahedron
Wind Harp - Solar Logos, Design © 1996
|

Geometric Shape- Octahedron
Wind Harp – Odyssey, Design © 1991 |

Geometric Shape – Vesica
Piscis
Wind Harp – Infiniti, Design © 1995
|
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