Can Sacred Geometry Produce Musical Harmony?
Geometric Frequencies
Is there a direct correlation between geometry and frequency? Were ancient civilizations given a key to connect mathematics, geometry, and sound?
Eric Rankin believes so in his documentary revolving around an interconnectedness between geometry and frequency. Sonic Geometry focuses on harmony found when the sum of the angles of all shapes is played as frequencies.
The basis of Rankin’s theory dates to the ancient Sumerian culture, roughly 5,000 years ago. The Sumerian civilization in Mesopotamia oft referred to as the Cradle of Civilization, spawned the first written language and mathematical system. The Ancient Sumerians wrote that the information that is the basis for their systems came from ‘sky gods,’ known as the Annunaki. They relied on a system of mathematics based on the numbers 12 and 60. We still retain some of the Sumerian’s mathematical system in how we calculate time, measurement in inches, and in geometry.
Pythagorean Tuning
We’re all familiar with the Pythagorean theorem in geometry, but the Greek philosopher/mathematician is not as commonly known to have applied his focus to music. Pythagoras applied geometry to music when he noticed how dividing a string in half would double its pitch. He created the Pythagorean scale based on harmonic fifths, which is now used as a root in modern music.
But according to Rankin, Pythagoras’ scale led him to stumble upon the number 432, maybe without knowing its synchronistic implications. The number happens to appear on his scale of fifths, which became the keystone for tuning frequency until the 20th century.
The sum of the angles of the basic geometric shapes, when played as frequencies, increases in octaves as you add additional sides. When combining these frequencies starting with a triangle, all the way up to an octagon, they create perfect harmony in a three-part major chord of F#. This pattern works with three-dimensional shapes as well as sacred geometric patterns to create harmonies.
The Mayan Equinox
The Ancient Mayan civilization was astronomically in tune and knew about the Earth’s axial precession. The Mayans calculated the time it took for a complete rotation of the Earth’s wobble on its axis to be 25,920 years, with one month being 2160 years. It happens that the diameter of the moon is 2160 miles. When this number is divided simply, you get some interesting results…
2160/2 = 1080 – the angle sum of an octagon
2160/3 = 720 – the angle sum of a hexagon
2160/4 = 540 – the angle sum of a pentagon
2160/5 = 432 – the Pythagorean frequency key tone
2160/6 = 360 – the angle sum of a circle and square
Rankin presents evidence of the recurrence of the number 432 as being found in multiples of measurement of time and distance, from the moon and sun to the speed of light. He believes there is some connection that is hidden within this number, that could have possibly been gifted to the Ancient Sumerians by the Annunaki and has remained embedded in many aspects of how we measure our world.
A Change in Frequency
In the early 1900s, there was a shift away from the 432hz frequency to 440hz. Almost all music since then has been recorded in this frequency, which does not have the same numerical synchronicity. To those who have alternated between the two frequencies, there is a noticeable difference.
Some theorize that the frequencies were changed as a sinister plot by the Nazis as a way of subversively increasing aggression or agitation on a large scale. It has been shown that different sound frequencies affect everything from water molecules to living organisms at different levels, so a plot to change the frequency of music sent to the masses seems like a plausible tactic of disruption. However one must judge for themselves — is the difference in frequencies big enough to manipulate human consciousness?
Cosmic Cycles of 432
Joseph Campbell found the number 432 intriguing in his studies, particularly as it recurred across different religious contexts. One instance is of an ancient Babylonian priest who wrote an account of the history of Babylonia in which a flood destroyed everything after 432,000 years.
In the ancient Hindu timeline, cosmic cycles are measured in multiples of 432,000 years. The Kali Yuga is 432,000 years, followed by the Dwapara Yuga at 864,000 years, the Treta Yuga at 1,296,000 years and lastly the Satya Yuga at 1,728,000 years.
There is even reference to cosmic cycles of 432,000 in the Icelandic Eddas, recounting Norse mythology. In one book describing Odin’s hall in Valhalla, there are 540 doors with 800 warriors coming through each door representing our time cycle. Those numbers multiplied, of course, equal 432,000.
With the interrelation of mathematics and nature as seen in such instances as the Fibonacci Sequence, it would come as no surprise that there would be an intrinsic relationship between geometry and sound frequency. What other inherent connections have we yet to discover in the nature of our existence?
About the Author
All About the Vesica Piscis and Its Spiritual Meaning
The Vesica Piscis is an ancient geometric symbol formed by the intersection of two circles that share the same radius and a common center. Throughout history, this sacred diagram has been interpreted as a portal between dimensions, a bridge between the material and the spiritual. In this article, we explore what the Vesica Piscis is, its profound symbolic meaning, and how it can be integrated into spiritual practices to expand consciousness.
Table of Contents
- What Is the Vesica Piscis and What Does It Represent Spiritually
- Symbolic Structure of the Vesica Piscis: Intersection and Proportions
- Origin and Use of the Vesica Piscis in Different Traditions
- The Vesica Piscis in Sacred Geometry
- How to Use the Vesica Piscis in Spiritual Practices
- Differences Between the Vesica Piscis and Other Sacred Symbols
What Is the Vesica Piscis and What Does It Represent Spiritually?
The Vesica Piscis is the oval-shaped space that arises when two circles of the same size partially overlap. Its simple and elegant form holds universal meanings that have captivated philosophers, mystics, and mathematicians for centuries. In geometry, it represents the harmonic intersection of two spheres of influence, and on the spiritual level, it symbolizes the point of union between the dual and the divine.
Spiritually, the Vesica Piscis expresses the idea of creation and balance. Its shape represents the womb of life, the union of opposites, and the feminine principle that gives birth to everything. Many belief systems regard it as a symbol of openness, revelation, and direct connection with higher consciousness, evoking the state in which limitations are transcended to access the source of all that exists.
Symbolic Structure of the Vesica Piscis: Intersection and Proportions
The structure of the Vesica Piscis arises from an exact and symmetrical proportion. Each circle contains the center of the other, creating a shared space that reflects the relationship between two entities that remain independent yet interconnected. This perfect union is associated with universal balance and the harmony of complementary forces.
The area of intersection takes on an almond or vesical shape that has been used as a symbol of fertility, origin, and protection in different cultures. This form has also been interpreted as a portal, a threshold connecting the visible and the invisible, inviting deeper exploration of consciousness. Its precise geometry allows energy to flow without resistance, creating a field conducive to meditation and healing.
The proportions found in the Vesica Piscis are the same that underpin balance in nature and sacred art. From Gothic cathedrals to mandalas, this geometric pattern acts as a reminder that creation is based on a profound mathematical order. Its beauty and symmetry continue to inspire those who seek to understand the principles that govern existence from a spiritual perspective.
Origin and Use of the Vesica Piscis in Different Traditions
The Vesica Piscis has its roots in antiquity and has appeared in numerous cultures and spiritual systems. In Christian sacred art, it is used as a symbol of union between the human and the divine, representing the intersection of earth and heaven. Many medieval temples include this pattern in their stained glass windows and portals as a reminder of the eternal connection between spirit and matter.
In esoteric and hermetic traditions, the Vesica Piscis is a portal of manifestation. It is associated with birth and spiritual rebirth, symbolizing the cosmic womb of creation. It is believed that meditating on this symbol helps open higher channels of perception and synchronize individual energy with the universal flow.
Some ancient peoples used it to represent the feminine principle, the mother goddess, and water as a source of life. It is also present in megalithic monuments and artifacts as an element of balance and regenerative power. Its use in rituals and spiritual practices remains relevant today as a tool for activating vital energy and awakening consciousness.
The Vesica Piscis in Sacred Geometry
In Sacred Geometry, the Vesica Piscis holds a central place due to its precise structure and its resonance with universal patterns. Its almond-shaped form is the basis of many sacred figures, such as the Flower of Life and the Seed of Life, which represent the continuous process of creation and expansion. This geometric intersection also reveals the golden ratio, a key to natural harmony and beauty.
On an energetic level, the Vesica Piscis symbolizes the fusion of complementary energies. Its shared space evokes the perfect balance between polarities, inviting those who work with it to integrate opposites and find inner unity. For this reason, it is often seen as a starting point in meditation and energy alignment practices.
In the series Sacred Geometry: Spiritual Science, available on Gaia, the Vesica Piscis is explored as embodying fundamental principles of creation and consciousness. Through visual teachings and practices, the series shows how this figure can be used to open perception and connect with the underlying order that sustains all that exists.
How to Use the Vesica Piscis in Spiritual Practices
The Vesica Piscis can be easily incorporated into various spiritual practices to expand consciousness and align energy. Its archetypal shape acts as a channel that facilitates connection with subtle realms and the activation of deep meditative states. Here are some ways to work with it:
- Energy visualization: Imagine the Vesica Piscis surrounding your body to activate and harmonize your energy centers. This practice helps create a field of protection and stimulates vital energy.
- Meditation with geometry: Place a drawing or figure of the Vesica Piscis in front of you during meditation. This supports concentration and balance between body, mind, and spirit.
- Intention rituals: Use the Vesica Piscis as a support to focus intentions for healing or manifestation. Its shape represents the threshold between the internal and the external, enhancing the power of your thoughts.
- Energy therapies: Integrate this symbol into practices such as Reiki or crystal healing. Its geometry promotes the opening of energy centers and the smooth circulation of energy.
- Spiritual decoration: Place representations of the Vesica Piscis on altars, workspaces, or resting places. This helps maintain harmony in the environment and resonate with frequencies of expansion and balance.
Differences Between the Vesica Piscis and Other Sacred Symbols
Although the Vesica Piscis shares affinities with other Sacred Geometry symbols, each has a specific purpose and energy that distinguish it. The Vesica Piscis symbolizes the point of union and creation arising from duality, while other diagrams have complementary meanings or different functions.
- Metatron’s Cube: Represents the structure that contains all fundamental geometric shapes. Unlike the Vesica Piscis, its purpose is broader, serving as a container for the entirety of creation.
- Merkaba: Acts as a vehicle for spiritual ascension, representing the intersection of two tetrahedrons. The Merkaba is more focused on expanding consciousness to higher levels.
- Seed of Life: Forms the basis of the Flower of Life, symbolizing the beginning of creation and the cycle of life. The Vesica Piscis, by contrast, is the intersection point that initiates manifestation.
- Flower of Life: Represents the matrix of all existence, composed of multiple interconnected circles. The Vesica Piscis is part of its structure, but as a separate symbol, it expresses the primordial space of union.
- Sri Yantra: Contains triangles and a central point symbolizing the union of the masculine and feminine. The Vesica Piscis shares that union but focuses on the geometry of the intersection as an energetic portal.
- Toroid: Shows the continuous and self-sustaining flow of energy in the universe. The Vesica Piscis, in contrast, represents the initial union that enables that circular flow.
