Harmonics

# Diatonic Flow Around the Harmonic Center

19/04/17 12:34

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 The traditional nomenclature of the Roman Church for the scale steps has been replaced by my own proposed symmetrically balanced names.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

# Vedic Vajra as Spherical Harmonics

19/04/17 12:30

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...

# The Burning Man Archetype Explained

19/04/17 12:25

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

# Tritone Partials and the Dodecahedron

19/04/17 12:24

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 Three Color Cones in the Human Retina

19/04/17 12:21

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

# Inosculation of a Tree Trunk

19/04/17 12:17

# E8 Lie Group and Harmonic Geometry

19/04/17 12:16

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

19/04/17 12:14

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

19/04/17 12:13

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

19/04/17 12:12

# Diatonic Standing Wave Model

19/04/17 12:11

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

19/04/17 12:09

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

19/04/17 12:08

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

19/04/17 12:03

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

19/04/17 12:02

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...

# Cell Mitosis as Heterodyning Function

19/04/17 11:59

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

# Reflective Gaussian Geometry in Life

19/04/17 11:57

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

19/04/17 11:56

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

19/04/17 11:54

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

# The Dream Theatre

19/04/17 11:51

# Harmonic Organization of the Periodic Elements

19/04/17 11:49

# Fish Archetype for the Cycle of 5ths

19/04/17 11:47

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

19/04/17 11:44

# Mutually Orthogonal Isometric Hexagons

19/04/17 11:41

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)

19/04/17 11:40

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

19/04/17 11:39

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

19/04/17 11:38

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

19/04/17 11:37

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

# Harmonic Symbolism in Art & Music

19/04/17 11:35

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.

19/04/17 11:34

# Music and Reflective Interference Model

19/04/17 11:33

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

19/04/17 11:31

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

19/04/17 11:30

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

19/04/17 11:29

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...

# Standing Wave Structure of the Human Body

19/04/17 11:26

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...

# Platonic Solids in Microbial Life

19/04/17 11:22

# Peer Review Reproduction of Blackman Spectral Analysis

19/04/17 11:21

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

19/04/17 11:19

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

19/04/17 11:18

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

19/04/17 11:17

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

19/04/17 11:16

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

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# Bio-harmonic Patterning - Part 1

19/04/17 11:09

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

19/04/17 11:07

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

19/04/17 11:04

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

19/04/17 11:00

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

# Evidence of Cellular Resonance in Zebra Fur

19/04/17 10:58

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

19/04/17 10:57

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...

# Relationship of Pi to Phi in a Standing Wave

19/04/17 10:55

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

19/04/17 10:53

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

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# A Hexagonal Crystal

19/04/17 10:52

# Twelve and the Golden Ratio

19/04/17 10:47

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

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# The Fine-Structure Constant as Resonance

19/04/17 10:45

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.

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# Phi-damping Wells

19/04/17 10:42

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

# Permittivity of Free Space

19/04/17 10:41

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

19/04/17 10:39

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...

# Constructing the Vitruvian Man

19/04/17 10:35

# Organic Humanoid in Harmonic Lattice

19/04/17 10:34

# Recursive Bio-Harmonic Ring Model

19/04/17 10:27

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

19/04/17 10:26

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

# QCD Space Lattice as a Harmonic Medium

19/04/17 10:24

# Evidence of Cymatic Patterning in Life

19/04/17 10:22

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

# The Keyboard Models

19/04/17 10:19

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

19/04/17 09:16

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

19/04/17 09:13

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

19/04/17 09:10

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

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# Bioharmonic Resonance and Damping

19/04/17 09:08