# Perception of the Spiral vs. Circle

Is this a spiral or a circle? What causes us to perceive it as a spiral first? Read More...

# Diatonic Flow Around the Harmonic Center

This illustration shows the symmetry in the energy flow of a musical diatonic scale around the Harmonic Center D of the C harmonic series. The traditional nomenclature of the Roman Church for the scale steps has been replaced by my own proposed symmetrically balanced names. Read More...

# Dymaxion Map by Buckminster Fuller

The Dymaxion map by Buckminster Fuller is a projection of a world map onto the surface of a icosahedron, which can be unfolded and flattened to two dimensions. Read More...

# Vedic Vajra as Spherical Harmonics

Mankind mimics the designs of nature. From wallpaper and ordinary ironwork to the grandest architecture, the patterns of harmonic resonance are everywhere, including our mind. Read More...

# A Biophotonic Field

As is the case with biophotonic fields, mathematical modeling of the nonlinear standing wave fields that comprise atoms can be accurately rendered by applying the quadratic function [ zn+1 = zn^2 ] (as shown); one that is closely related to the famous Mandelbrot Set, expressed as [ zn+1 = zn^2 + c ]. Read More...

# Fibonacci Spiral of a Pine Tree

A dead pine tree I found that had split along its Fib spiral growth path as it dried out. If you look closely you can see how the branches resonated out along either side of the spiral. Read More...

# The 13 Digits of Pi

In Pi, the universal constant of periodicity, there are 13 digits separating the digits 26 equal to 2 x 13. Would it be a coincidence then that there are 13 averaged lunar phases in a year and a 13:8 resonance cycle between Venus and Earth. Read More...

# The Burning Man Archetype Explained

Burning Man, as a symbol for the reinvention of humanity, is a kind of Vedic harmonic superhero. Read More...

# Tritone Partials and the Dodecahedron

This sequence shows how a dodecahedron solid crystallizes from the male-female, odd-even balance of tritone partials 5 and 7 in the harmonic series. Read More...

# The Harmonic Color-Tone Wheel

When color symmetry is mapped onto the scale symmetry of a 7-tone diatonic scale, a perceptual correspondence can be established between vision and audition. Read More...

# The Three Color Cones in the Human Retina

The three color cones in the human retina resonate with specific frequency ranges of the light spectrum. Read More...

# Piano Keyboard and the Gregorian Calendar

I received this graphic from Bob Schlenker depicting the twelve months of the Gregorian calendar as a twelve-tone scale in an octave. Read More...

# E8 Lie Group and Harmonic Geometry

Garrett Lisi's E8 Lie Group particle model can be rotated to reveal an orthogonal cube that corresponds to Nassim Haramein's cubeoctahedron model of space. Both correspond to Metatron's Cube which can be extracted from the ancient Egyptian Flower of Life. Read More...

# Derivation of Phi from Pi in a Standing Wave

There are many numerical and geometrical ways to connect the golden ratio Phi with Pi, but the easiest and most natural way is to sum the amplitude displacement of a standing wave fundamental at the node of its fifth harmonic partial. Measuring in radians, there are three steps to derive Phi from Pi. Read More...

# A Flower in Harmonic Lattice

Every form of life can be viewed as a liquid crystalline structure shaped by the atomic resonance of carbon-12 and water. The explosive growth of carbon-12 chains is damped inward to varying degrees by water (according to DNA instructions) to guide the self-organization of cells as they replicate and evolve over time. Read More...

# Diatonic Standing Wave Model

According to harmonic interference theory, the 7-tone diatonic scale of common practice music can be represented as a frequency doubling (first harmonic) of a 12-tone octave standing wave. Read More...

# Color Spectrum to Log Octave Mapping

The range of human vision is 370THz at the red end of the spectrum to 740Thz at the blue end. Read More...

# The DNA Egg Model

There are two geometric models found in DNA that help explain the geometry of the human body. The first is the Yang Quasi-28-gon Eggshell and the second is the White G-ball Yolk. Read More...

# Standing Wave Symmetry in Music

The major scale on a piano keyboard is only symmetric around one note, such as D in the key of C major. Read More...

# The Pentagram & Fibonacci Series

One way to view the Fibonacci Series is as a recursive approximation of golden ratios in the Harmonic Series, together represented geometrically as a set of phi-recursive pentagrams. Read More...

# Golden Triangle of the Larynx

Those interested in the anatomy of the larynx and process of vocalization will like the following anatomy lesson. Read More...

# Cell Mitosis as Heterodyning Function

Cell geometry during mitosis (or cell division) takes the shape of a Polar Reflective Interference pattern. Read More...

# Reflective Gaussian Geometry in Life

The harmonic interference pattern of two tones diverging over an octave produce the same geometry in polar coordinates as that of the human eardrum and brain. Read More...

# Planetary Spacing Model

Many planetary and moon resonances are known to exist in our solar system. However, any explanation on how this happened is difficult to find. Read More...

# Nature's Roadmap to Sustainability

Social coherence can be modeled after the physics of a standing wave and harmonic self-organization. Read More...

# Fish Archetype for the Cycle of 5ths

Through the study of harmonic science we can find connections between music and biology. For instance, music tradition suggests that the Cycle of Fifths is a natural harmonic chord progression. In fact, most music is based in some way on portions of this progression. Read More...

# How to Build an Anechoic Chamber

Echoes in rooms and speaker enclosures are created by harmonic wave reflection over-resonating within a cavity. This can be easily prevented by creating an enclosure using the dimensions of the golden ratio and its inverse. Read More...

# Mutually Orthogonal Isometric Hexagons

The geometric figure on the cover of INTERFERENCE was part of a graphic art series entitled Cubing the Human Archetype. Read More...

# Landau-Zener Damping Theory (1932)

A vortex known as a "Landau damping location" in quantum mechanics is where energy is exchanged in a standing wave to form harmonics. Read More...

# The Geometry of Music

The geometric balance of chords around the harmonic center is the source of musical ethos. It represents the symmetry of a standing wave and its opposing flows of energy. Read More...

# Music Visualization

When the Standing Wave Model is projected out in time, chords and melodies take the form of tumbling geometric shapes. Read More...

# Dual Ring Harmonic Models

These are some of the harmonic ring models described in the fourth section of INTERFERENCE. Read More...

# Harmonic Symbolism in Art & Music

A harmonic archetype and incantation for the opening of Sortrilege (Sorcery for Three) by contemporary composer Robert Xavier Rodriquez. Read More...

# Music and Reflective Interference Model

Harmonic Interference Theory proposes a music theory based on human perception of resonance in both sound and light rather than Church tradition. Read More...

# Tone-Color Dual Ring Model

Color geometry - genesis of the Dual Ring Model (both diatonic and chromatic) in Harmonic Interference Theory. Read More...

# Tone-Color Correspondence to a Double Octave

This Tone-Color Correspondence to the Double Octave is based on the three color cones of the human retina. When the dark blue or indigo cone distribution is folded over the point of symmetry between the red and green cone distribution, it forms the four points of a 12-step color wheel. Read More...

# The Fourier Series & Harmonics

After conquering Egypt in 1798 at the Battle of the Pyramids, the French fought and lost to the British a week later in a naval battle known as the Battle of the Nile. Stranded in Cairo, Napoleon set off on a three-year expedition across Egypt. With him was Joseph Fourier, a mathematician and trusted friend. It was during this journey that Fourier discovered that waves of any kind could be decomposed into a superposition of sine and cosine waves. Read More...

# Golden Spiral of a Flower

Given that every form of life on Earth grows out of a spiral and that indeed weather systems, planetary systems, solar systems and galaxies also form out of spiral formations, why is it that spirals are excluded entirely from the study of geometry and in fact much of the study of mathematics? Read More...

# Standing Wave Structure of the Human Body

One of the most egregious omissions in modern education is the fact that the body is a liquid carbon-water crystal that evolved harmonically according to the physics of a standing wave. Read More...

# Mineral Crystallization and the Golden Ratio

Ancient philosophers believed God slept in rocks. These golden spirals in a Bismuth crystal form little G's as if searching for God. Read More...

# Peer Review Reproduction of Blackman Spectral Analysis

Reproduction by D.L. Finch of the full Blackman spectral analysis of two tones diverging over an octave. Created with Cooledit Pro, v1.2a. Read More...

# Harmonic Structure of the Basilar Membrane

Last week I had the pleasure of corresponding with an acoustical scientist by the name of Dave Finch. While reading Interference, he set about to reproduce the Blackman spectral interference pattern I used in the book to illustrate the Gaussian distribution of harmonic intervals over an octave (see link in comments). What he found provides greater insight into our perception of sound and music.* Read More...

# Blackman Spectral Analysis of Two Tones

This is a Blackman spectral analysis of two tones diverging over an octave, revealing the natural distribution of harmonics that are involved in the human perception of music harmony. Read More...

# Holonomic Theory of the Brain

One theory proposes the brain works much like a hologram by recreating the outside world using the Hypocampus as a beam splitter. Read More...

# Cardiopulmonary Harmonic Model

3D model of the human cardiopulmonary system reveals the Polar Reflective Interference pattern.

Read More...

# Bio-harmonic Patterning - Part 1

Sometimes the Polar Reflective Interference pattern separates into two kidney shaped forms and can be difficult to identify. Read More...

# Bio-harmonic Patterning - Part 2

Throat, ear, chest, pelvis, brain, etc. These forms are not the result of random mutation or natural selection. Read More...

# Key of C Major from the Fourier Series on D

Corresponded this morning with author Jill Mattson, resulting in the following email exchange about the golden ratio (phi) and its relationship to the perception of music harmony. Read More...

# Musica Universalis and the Science of Harmonics

We flicker on and off inside the projection screen of the Schwartzschild Space Lattice: Read More...

# Evidence of Cellular Resonance in Zebra Fur

Are the beautiful patterns of a zebra's fur a simple function of Darwinian natural selection (believed by some to provide camouflage?) or are they also a kind of cellular cymatic resonance pattern tuned to the body chamber? Read More...

# Tuning in a Tosla Magnifica "Biscuit" Sea Star

Surface features, including shell and fur patterns, on sea and land animals is likely a cymatic visualization of cellular resonance within the body chamber. Read More...

# Geometry of Baby Stingrays

These baby stingrays are perfect examples for how simple animals organize as hexagons while larger mammals, such as humans, organize as pentagons. Read More...

# Relationship of Pi to Phi in a Standing Wave

Most people interested in the Golden Ratio know that it is derived from the square root of 5, as Φ = (1 + √5) / 2. However, it is a little known fact that PI (or π) can also be derived from the number 5 corresponding to the fifth harmonic in a standing wave precisely where a Golden Ratio amplitude occurs. Read More...

# A Trilobite Egg Cymatic

A trilobite fossil compared to a cymatic resonance pattern produced inside an egg container.

Read More...

# Twelve and the Golden Ratio

For today, I thought I would share a very mysterious relationship between the number 12 and the golden ratio.

Read More...

# The Fine-Structure Constant as Resonance

In physics, the fine-structure constant α is a fundamental physical constant characterizing the strength of electromagnetic coupling. This interaction is a function of resonance and harmonic physics.

Read More...

# Babylonian Music Tablets

The field of archaeomusicology is the study of music in ancient cultures. Recent discoveries in this field have found that the mythology of ancient Mesopotamia is readable as tonal allegory when its numerology is decoded as tuning theory. Read More...

# Phi-damping Wells

When energy reflects into a resonating standing wave, Fibonacci vortices form around golden sections of the 2π period. Read More...

# Permittivity of Free Space

Isometric projection of an orthogonal harmonic lattice introduces a gap, enabling energy to articulate and travel through space. Without this little bit of slack, nothing could move or bond and the universe would be dead. Read More...

# Forbidden Apple of Harmony

The Apple of Knowledge symbolism is very old and appears to be related to the ancient belief that all life is harmonically organized. Here is a simple illustration showing how the golden mean is at the bottom of both horizontal and vertical geometries of the apple. Read More...

# The Burning Man in Harmonic Lattice

"Through a lens of fiery resonance

seek a crystalline key of silence

to unlock the musical matrix

and free the burning man." Read More...

# Origin of Religious Symbolism

The difference between religious symbolism and harmonic geometry is only a matter of metaphor. Read More...

# Recursive Bio-Harmonic Ring Model

This is a chart of frequency associations for the human body based on the ring model described near the end of my book Interference. Read More...

# Platonic Solids in Lattice QCD

An expansion of the previous illustrations showing other harmonic solids as an isometric cubic function. Read More...

# Evidence of Cymatic Patterning in Life

Correspondence between a tortoise shell and cymatic resonance patterns on an oval plate. Read More...

# Bar Tritone in Rome

This little restaurant in Rome is where I had my surprise birthday dinner a few years ago. Appropriate, no?

Read More...

# The Keyboard Models

This is something like what I visualize when I improvise jazz piano, only with additional layers and wave sets that unfold rapidly in time. I imagine sticking my hands into an oscillating web of harmonic waves floating over the keyboard and guiding the waves to shape different geometries. Read More...

# The Harmonic Lattice

According to quantum theory, space is not empty as we are all taught, but instead structured in the form of a very fine cubic lattice of quantum perturbations. For convenience, this lattice can be defined as a 3D grid of mutually orthogonal standing waves. Read More...

# Phi-Recursive Heterodyning

This is an illustration of "phi-recursive heterodyning" demonstrating how harmonics emerge from the golden ratio by following the Fibonacci series backward. Read More...

# Golden Ratio in Pythagorean Tetrachords

Dual golden ratios in the tritone function of a diatonic scale (relative to C major / A minor).

Read More...

# Golden Powers in the Fibonacci series

# The Galaxy that Laid the Golden Egg

# The Annual Golden Ratio: August 13th

# How Nature counts

# Brain Geometry (new diagrams)

# Embryonic Geometry

Thought I would post a more direct illustration of the geometry of an embryo prior to it resonating into the characteristic geometry of a human body.

Read More...# The Human Nautilus

In my own quest for understanding, I continue to be drawn to the study of the human mind and how it relates to the geometry of the head and body. I have always felt that clues to consciousness must exist in every part of the body and that we have but to understand the entire body to understand consciousness.

Read More...# The Gibraltar Star

This is a follow-up to my blog post entitled 'The Twin Pillars of Hercules.'

Read More...# Our Multi-Choice Reality

There is really something quite profound about how digital media technology is changing human society. We can never be sure that what we see in a magazine, on TV or at the movies is real or synthesized. Now more than ever, people have to choose which illusion they want to believe in. Seeing is no longer believing.

Read More...# The Tetraktys

Here are a few words about the Tetraktys and its relationship to harmonic physics.

Read More...# The Twin PIllars of Hercules

After finishing my last article *Eleven* that described my experience (and apparent widespread phenomenon) of 'seeing elevens', I watched this excellent video about this same subject. Avia Venefica's comments about the symbolic meaning of the double ones of eleven and its duality are right on target, which prompted me to further connect this phenomena with the physics and mythology of harmonic resonance.

# Physics of Consciousness

# Ultra deep field

# Cymatic Symphony Video

# Symbols of Harmonic Physics

In my travels this Summer to Greece and Italy, I became more aware of how spirals were associated with the Underworld in ancient mythology and symbolism. In this post, I explore the correspondence of female deities of the Underworld and the ancient swas-tika symbol to an apparent knowledge of the physics of harmonic damping.

Read More...# Earth-Moon proportions from the Vescia Piscis

# Gaussian geometry of the human head

# Gaudi magic square

# Pentagonal flowers

# An Isometric View of Space

# Musica Universalis Model

# Holonomic Brain Model

# Bio-Harmonic Frequency Correspondence

# Fine-Structure Constant is harmonic

# Correspondence of Solar Cycles to Social Cycles

Sun radius / Mercury semi-major axis = 12 / 1000

695,000km / 57.91666Mkm = 12 / 1000

That is, the ratio of the Sun's sphere to Mercury's sphere measured from the center of the solar system is 12:1000.

In general, the Gaussian Interference function introduced in the book (which also balances at a resonance value of 12) can also be found to describe the cycle of sun spots. We are currently in a solar minimum with the fewest sunspots since at least 1913. Many of the intersection points of the sunspot cycle happen to correspond to recent events and may offer a broad predictor of future novelty events. This analysis uses the Reflective Interference function to compare the solar cycle to our social cycle, suggesting a causal link between the two. Read More...

# Experimental evidence of harmonics in human head geometry

# From Perception to Consciousness

# Water as a pentagonal damping structure for life

# The Solfeggio Scale

# Relationship between geometry and wave interference

# 5-fold temporal symmetry as an isometric projection of 12-fold space

# Tetrahedral recursion as a model for space resonance

But Einar pointed out that this proportion also represents the volume of a tetrahedron placed inside a larger tetrahedron such that its four points touch the incenter of each of the faces of the outer tetrahedron, assuming that the larger tetrahedron is inside a cube with volume equal to one... Read More...

# Question of Perception

# Vitruvian Morphology

# Aquamarine damping field

# The Cymatic Structure of the Human Hand

# Have a Happy Winter Solstice

# Interference pattern of the Helix Nebula ("Eye of God")

# Decoding the "Ghost Whisperer" crystal ball puzzle

http://www.cyberglass.biz/customflash/ghostwhisperer/

Be sure to try this before you click to learn how the crystal ball "reads your mind."

Read More...

# First Visualizer UI Design

# Jazz examples of the Tritone Substitute

# Life as Crystalline Music

# Possible New Mathematical Constant connecting Pi and Phi

# CMYK and RGB color spaces

# A discussion with an ER doc

# What do a bug and an egg have in common?

# The first heartbeat of InterferenceTheory.com

To kick things off, I would like to explore the idea that a human heart functions harmonically according to the recursive Mandelbrot Set fractal.

- Richard Merrick, October 11, 2008 Read More...