Perception of the Spiral vs. Circle

image003
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

DiatonicFlow
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 The traditional nomenclature of the Roman Church for the scale steps has been replaced by my own proposed symmetrically balanced names.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

Dymaxion
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...

Temporal Fractal of the Cardiac Cycle

Cardiac
Phi-damping implosion cycle of the heart as a function of Mandelbrot geometry.
Read More...

Vedic Vajra as Spherical Harmonics

Spherical
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

Biophotonic
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

Pine
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

Digits
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

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

Tritone Partials and the Dodecahedron

Partials
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

Color-Tone
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

ThreeCone
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

PianoKeyboard
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...

Inosculation of a Tree Trunk

Inosculation
When two trees grow together it's called inosculation. Read More...

E8 Lie Group and Harmonic Geometry

E8
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

Derivation
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

Flower
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...

The Musical Structure of Life

Life
There is a simple equation describing how life grows and evolves. Read More...

Diatonic Standing Wave Model

DiatonicWave
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

Spectrum
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

DNAEgg
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...

Phi-Damping Locations in a Standing Wave

Phi-Damping Read More...

The Phi-Damping Well

Well Read More...

Standing Wave Symmetry in Music

Stars
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

Pentagram
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

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

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

Reflective Gaussian Geometry in Life

Eardrum
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

Spacing
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...

A Pentagonal Virus

Virus
A double pentagonal virus for your consideration. Read More...

Nature's Roadmap to Sustainability

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

The Dream Theatre

DreamTheatre
Here is a page out of my graphic novelette The Grand Scientific Musical Theatre. Read More...

Harmonic Organization of the Periodic Elements

Periodic
Harmonic science extends to the atomic level too. Read More...

Fish Archetype for the Cycle of 5ths

Fish
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...

Heterodyning

Heterodyning
There is no bigger question to ask than "how does something come from nothing.
Read More...

How to Build an Anechoic Chamber

Anechoic
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

Isometric
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)

Landau
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

Geomusic
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

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

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

Harmonic Symbolism in Art & Music

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

The Octave Standing Wave Keyboard Model.

OctaveWave
The Octave Standing Wave Keyboard Model.
Read More...

Music and Reflective Interference Model

Reflective
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

DualColorRing
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

Double
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

Fourier
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

Spiral
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

Crystal
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

Mineral
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...

Platonic Solids in Microbial Life

Microbial
Some sea creatures representing platonic forms magnified 50 times.
Read More...

Peer Review Reproduction of Blackman Spectral Analysis

Finch
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

Basilar
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

Blackman
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

Holonomic
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

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

Walnut-Brain Comparison

Walnut Read More...

The Coco de Mer Nut

Coco Read More...

Bio-harmonic Patterning - Part 1

Bio1
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

Bio2
Throat, ear, chest, pelvis, brain, etc. These forms are not the result of random mutation or natural selection. Read More...

Bio-harmonic Patterning - Part 3

Bio3
Polar Reflective Interference patterns. Read More...

Key of C Major from the Fourier Series on D

Cmajor
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

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

Evidence of Cellular Resonance in Zebra Fur

Zebra
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

Tosla
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

Stingray
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

PitoPhi
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

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

A Hexagonal Crystal

Hex
An ice crystal demonstrating opposing polarity as a hexagonal barbell. Read More...

Twelve and the Golden Ratio

Twelve
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

Fine
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

Archaeo
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

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

Permittivity of Free Space

Free
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

Apple
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

Lens
"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

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

Constructing the Vitruvian Man

Vitruvian
Reverse engineering the geometry of the human body. Read More...

Organic Humanoid in Harmonic Lattice

Humanoid
A life form prototype emerging from a harmonic wave lattice. Read More...

The 13:8 Crystallization of a Leaf

Leaf
The 13:8 Crystallization of a Leaf. Read More...

The Harmonic Jupiter Hypothesis

Jupiter
The Harmonic Jupiter Hypothesis… Read More...

The CBS Eye

CBS
A simple harmonic model for the human face...
Read More...

Recursive Bio-Harmonic Ring Model

Recursive
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

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

QCD Space Lattice as a Harmonic Medium

QCD
Isometric projection of a 3-cubed node perturbation field (Schwartzchild vacuum). Read More...

Cymatic Geometry

Cymatic
Resonance is a function of squares and square roots. Read More...

Evidence of Cymatic Patterning in Life

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

Bar Tritone in Rome

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

The Keyboard Models

KeyboardModel
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

HarmonicLattice
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

PhiRecursive
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

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

Bioharmonic Resonance and Damping

Bioharmonic
Harmonic principles in the structure of life...
Read More...

Golden Powers in the Fibonacci series

The Fibonacci series converges to more than just the golden ratio. It also converges to powers of the golden ratio. Read More...

The Galaxy that Laid the Golden Egg

Our schools and churches do not tell us everything. They don’t tell us even the simplest things; things like the Earth-Moon system matches the geometry of a hen’s egg and that both are a containment property of the golden mean, Φ = (5 + 1) / 2. Read More...

The Annual Golden Ratio: August 13th

I have just had a very interesting insight linking the Moon and Venus related to August 13th. It may represent an additional important date relative to Rosslyn (its Venus symbolisms) and the Mayan calendar year of 2012. Read More...

How Nature counts

Imagine, if you will, a time before numbers. A time when people had not yet created symbols to represent quantity and order objects in the world. In this primordial, prehistoric world we might ask if numbers still existed, waiting to be discovered. If so, does Nature itself count and, if so, how? Read More...

Brain Geometry (new diagrams)

Here are some new diagrams describing the harmonic geometry of the human brain. Read More...

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.

Read More...

Physics of Consciousness

I'm reading a great book right now that proposes the best theory I've ever seen to explain what consciousness is and how it works exactly. Read More...

Ultra deep field

Here are the latest up close and personal views of our universe. Definitely worth the time to look at. Read More...

Cymatic Symphony Video

Here is an excellent video of visual music... Read More...

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

Here is a quick sketch demonstrating how the Earth-Moon system is a harmony between maximum resonance and maximum damping, then approximated in a simple equation using only Fibonacci numbers. Read More...

Gaussian geometry of the human head

The geometry of the human head continues to intrigue me. In the book I examine the geometry of the entire body and propose a method by which atomic resonance and damping works to guide cell growth. I named the resulting model Burningman, partly because it appears as if it was burning through fractal recursion and partly because I see it representing a new mythology that might return some day through the simulated reality of cyberspace. In this post I examine the harmonic interference fields apparently behind the geometry of the human head -- layers of polar Gaussians applied within a recursive spherical phi-damping framework. Read More...

Gaudi magic square

While visiting Barcelona a week ago I visited Gaudi's famed basilica. This building was absolutely stunning and was packed with symbolisms, such as a Christmas tree stuck onto the top of the front steeple and fruit on the top of other spires. I also found an interesting magic square on the side that got me to thinking... Read More...

Pentagonal flowers

A couple of interesting pentagonal flowers in the Mediterranean. Read More...

An Isometric View of Space

So, I have been having various conversations related to the relationship between the perfect solids, the quantum lattice and my harmonic lattice / matrix. I really want to get a 3D modeling program and do it up right, but attached is a 2D illustration relating to all of this. The basic idea is that space is a very fine field of tiny black holes that let it "breathe." These holes perforate space and thus warp it into a cubic grid. Within this grid light and other EM energy flows along the lines of the cubes while crystallized energy or particles collect inside the cubes around the black holes. These comprise atoms which all have different harmonic properties and geometries that resonate in the lattice, bonding with neighboring elements depending on harmonic compatibility. Space itself acts as a subtle resonator (zero-point energy) to keep electrons moving and to help atoms bond into larger crystalline structures. Read More...

Musica Universalis Model

In the book, a recursive Hilbert Space is proposed as a common geometric model for both the solar system and the human body. There was not enough space to present both together, so this post provides a high resolution diagram that clearly and simply demonstrates their shared harmonic properties. Read More...

Holonomic Brain Model

One of the conclusions of my research was that we recognize harmony and harmonics in music by pattern matching standing wave patterns against identical standing wave patterns in our brain. This is compatible with the Pribram-Bohm holonomic brain model whereby the brain is described as a hologram interference pattern resulting from orthogonal standing waves. This is my idealized representation of the idea. Read More...

Bio-Harmonic Frequency Correspondence

I received an inquiry from a Swiss bioengineering company asking if I could suggest specific frequencies that would be "felt" or otherwise treat specific regions and organs of the human body. While I introduced the harmonic proportions correlating to human physiology in my book, I had not produced a table of specific frequencies that might apply to entrain the body. In this post, I propose a set of frequencies that might be used individually or in some combination to treat the body. While it does appear to correlate to a number of empirical frequencies at work in the body and does match some of the findings of this Swiss company, it is only an initial proposal and only scratches the surface of a very deep area of research. Read More...

Fine-Structure Constant is harmonic

The inverse fine-structure constant is known to define the electromagnetic force in an atom.  This constant has been measured to be 137.03599907098, but no one can adequately explain where it originates. It originates in the harmony between odd and even harmonics. Read More...

Correspondence of Solar Cycles to Social Cycles

There are many harmonic properties of the solar system, but perhaps the most amazing is this:

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

Yesterday, I received an email from Tom Roth who is in the middle of reading my book. He sent me an analysis he had done comparing a composite human head with the Vesica Piscis. I was very excited when I opened up the graphics he sent me because it uses a random population sample to experimentally prove that human proportions follow the models proposed by Harmonic Interference Theory. Take a look... Read More...

From Perception to Consciousness

What is the difference between perception and consciousness? Here's my thoughts on that... Read More...

Water as a pentagonal damping structure for life

Recent research has found that water takes on a pentagonal molecular structure that then combined further into an icosahedral form - exactly as the Greeks suggested over two thousand years ago. Water is a damping agent for carbon-12, combining to create life... Read More...

The Solfeggio Scale

I have been getting a lot of email concerning the Solfeggio scale. It seems there have been several popular books about its healing effect on the body. Some have even purchased tuning forks tuned to its specific frequencies, which are higher than today's system. This post discusses the good news and the bad news about this scale. Read More...

Relationship between geometry and wave interference

This is a summary of my philosophy regarding geometry as a function of wave interference. Read More...

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

Subsequent to the publishing of an article I wrote for NEXUS magazine, I was contacted by one Einar Thorsteinn, a geometer and modern artist outside of Berlin. He introduced me to his 5-fold geometry system, which we called FANG, and a unique star-like geometry he called Thorsteinn's Star. After corresponding for a while, he sent me a DVD-ROM filled with information about this system which he had published some years back with a Foreword written by his friend Buckminster Fuller. I have just begun to review this fantastic geometry, but it appears to me to be a way to view 5-fold geometry (a pentagram) from an isometric angle. Read More...

Tetrahedral recursion as a model for space resonance

In communicating with Icelandic geometer Einar Thorsteinn living in Germany, I shared what I consider a very important ratio related to resonance in harmonic interference. Specifically, a couple of years ago I had found the ratio 1:81 = 0.012345679... built into the dimensions of Rosslyn chapel. I found that its repeating digits represents a natural resonance proportion in any harmonic standing wave, specifically as a 2:81 halo gap around the proportion of 5:3 (a musical major 6th) between any two coherent standing wave sources (tone, light, atoms, whatever). This is discussed in detail in my book.

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

This post was a response to the question "what are the sixth and seventh senses." After I responded, I learned that the correct answer was common sense and a sense of humor, which I think makes a lot of sense, so to speak. But, my answer was a little different... Read More...

Vitruvian Morphology

To the question of the dinosaurs (and other animals) fitting into the harmonic Vitruvian model proposed in the book... Read More...

Aquamarine damping field

This post discusses the relationship between the golden ratio and the color aquamarine. Read More...

The Cymatic Structure of the Human Hand

One of the key principles of harmonic interference theory is life grows according to the same principles of harmonic resonance and damping found in acoustical vibration. For instance, a skeleton is a crystalline lattice that results from harmonically damped regions of the body. Similarly, a cymatic resonance pattern results from damped areas on a vibrated surface where sand or salt particles accumulate into calm regions. A side-by-side comparison of the two indicates how the human hand grows according to the same geometry as a pentagonal cymatic interference pattern. Read More...

Have a Happy Winter Solstice

It suddenly occurred to me that a Christmas tree is a pagan symbol because it grows in the shape of a golden triangle found in a pentagram. Take a look at the fun Christmas card you can make out of it... Read More...

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

A picture taken by the Hubble telescope in 2003 has been making the rounds on the Internet because it resembles an eye. It appears that the formation of this Nebula follows the same laws of physics found the physics of harmonics as expressed in tonal diatonic music. Read More...

Decoding the "Ghost Whisperer" crystal ball puzzle

Dan Reed sent me a link to this 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

One of the practical applications of Harmonic Interference Theory is use in computer-assisted music analysis and composition. To that end, I have begun a series of designs that I will begin to prototype in Flash and post in a new section here on the site. If you have question or comments about this, please send me an email. Read More...

Jazz examples of the Tritone Substitute

I have received some requests to explain what a "tritone substitute" is and how it is used in Jazz harmony. Here are four examples of how a tritone sub might be used in a common dominant-tonic cadence. Read More...

Life as Crystalline Music

While working on a new Flash animation to illustrate some new aspects of the golden ratio, I found the Rojas egg geometry described the orbital pattern of Pluto. This led me back to do a new analysis of the Rojas egg model and its application to life and the harmonic lattice. Read More...

Possible New Mathematical Constant connecting Pi and Phi

While working on the harmonic lattice described in the book, I discovered that Phi (the golden ratio equal to 1.618033...) and e (the natural logarithm equal to 2.71828...) have a common factor of almost 1.68. I mentioned then that I thought that Napier used this number instead of the golden ratio to avoid offending the Church, who knew it to be a pagan number). As a result, modern science bases all of its study of nature on e instead of Phi, though it could have just as well used Phi as I did in my calculations. There in another interesting relationship between these two irrational and infinite numbers... Read More...

CMYK and RGB color spaces

Since I reference color spaces in the book, I thought I would provide a simple explanation. Read More...

A discussion with an ER doc

During the first year of working on the book, I had a lengthy email correspondence with an ER doctor. This is one of the many exchanges. Read More...

What do a bug and an egg have in common?

In trying to explain the role of harmonic damping in both the formation of our solar system and life on our planet to a graduate astrophysics student about a year ago, I offered a simple question. The question was "What do a bug and an egg have in common." Mainstream science does not normally discuss such things because there is no unifying theory that explains why life takes the shapes it does. This entry is an attempt to show a connection between these two natural life formations in the behavior of standing waves. Read More...

The first heartbeat of InterferenceTheory.com

This blog is intended as an exploration of some of the more exotic and controversial ideas related to harmonic science. The views expressed do not necessarily represent my decided opinion about a given topic - only areas of interest that I am exploring that could eventually lead to something useful. I have found that staying open-minded to even the strangest (and silliest) ideas will sometimes lead to valuable insights and discoveries.

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...