The Gift of Nature’s Chord 

Nature’s Chord is an organizational framework for all frequencies, AND any periodic reoccurrence can be converted to frequencies and studied as this patterned relationship. In his book The Cosmic Octave, Hans Cousto, the maverick mathematician and scientist, demonstrates the formula for converting any periodic function to an audible frequency. He explains that “The period of oscillation and its frequency stand in a relation of inverse proportionality, thus period = 1/frequency and frequency = 1/period. The reciprocal value of a period of time represents its frequency…” You find the reciprocal value of a given period by dividing the number into one. This value is then multiplied by 2 until the number reaches the audible frequency range. Then you can find the tonal correspondence to the periodic function that you just converted.

For example, the speed of light is 186,000 miles per 1 second. “Miles per second” is a dead giveaway that this measurement is a periodic function. (Actually almost any measurement would qualify.) 1/186000 = 0.000005376344086 x 2 to the 25th power = 180.4 hz which is F#/185 hz (-3.6 discrepancy). So the tone for the speed of light is F#. Cousto converts time periods (days, years, etc), planetary orbits, distances between the stars into frequencies. The mathematics point to a potential resonant frequency for any periodic function.

In a recent blog post on The Law of the Octave, I pointed out that our Universe is held together and moved along by vibrations. Even a cursory reading of contemporary quantum physics supports this idea. Nature’s Chord allows access to and influence upon the vibrational Universe. As a painter of sound, a lover of diversity, and a harmonic healer, this is one exciting discovery. This is a way to sonify and present information, bring the resonant frequencies of relationships into harmony, and generally engage with the overall vibration of any situation.

So, I am looking around for periodic data to sonify using the Law of the Octave and Nature’s Chord/Scale. In 11th Harmonic, I used the reveletory research that Dr. Anthony Holland presented in his TED talk on the use of the 11th harmonic in “disrupting ” the cellular structure of tumors. Of course, the frequencies he is dealing with are super high electrical frequencies. When we apply the Law of The Octave, the electrical frequencies can be converted into audible frequencies. Then through the template of Nature’s Chord, we discover that the 11th harmonic is the fifth above the Fundamental Frequency in the fourth harmonic octave. So the 11th Harmonic soundscape begins with those long spacious intervals. I chose four whole tone tetrachords and then paired them with the fifth in the fourth octave. Within the first four octaves of Nature’s Chord lies two more fifths and the third and flatted seventh. When you start swinging these intervals around, more tetrachordal relationships emerge. It is a firework of harmonics when moving quickly, then a luxurious web of sound swaying in the breeze at slower paces. Here is a little excerpt of 11th Harmonic as played on April 4th to reset the time fractal and disrupt the stuck energy behind war and violence.

And, sure enough, Trump bombed Syria. (And the butterfly flaps its wings.) The 11th Harmonic disrupts and moves the energy without any particular outcome except dislodging and moving the energy. (Which is why Dr. Holland does not say the 11th harmonic “cures” cancer. It disrupts the integrity of the cancer cells.) And, at the same time, Nature’s Chord and the Acoustic Scale express beautiful, harmonious sonic relationships, within which the change is happening. That is the vibe! As these magical relationships are expressed with open-hearted loving intentions, entrainment happens and the vibration rises up. And, it happens in mysterious ways. Entrainment is alot like God, like Love.

While I was writing this post, Trudie asked, “Did you know that the Hindu creation myth says that the world was created through sound?” No, I did not! Research revealed several Hindu creation myths – hooray for multiple potential beginnings without needing one to be right!  Here is one of the creation stories from Hindu mythology.

Before this time began, there was no heaven, no earth and no space between. A vast dark ocean washed upon the shores of nothingness and licked the edges of the night. A giant cobra floated on the waters. Asleep within its endless coils lay the Lord Vishnu. He was watched over by the mighty serpent.

Everything was so peaceful and silent that Vishnu slept undisturbed by dreams or motion. From the depths a humming sound began to tremble, Aum. It grew and spread, filling the emptiness and throbbing with energy.

Aum, or Om

The night had ended, Vishnu awoke.

History is, in part, the periodic oscillation of humanity falling asleep into the larger, darker dream and then awakening into the light of self-awareness. We are riding the wave of an awakening time right now. Pay attention to what and to whom you give your attention. Our moment -to -moment awareness is our most valuable currency.  Do not squander it on guilt and sacrifice. Do not squander it on exploiting and manipulating others. DO, yes, DO give your attention to all that is in your present moment. Give it to the joy, beauty, harmony, pain, suffering and dissonance that is within each moment of our existence. Breathe. Wait for instructions. Remember vibration. Dance and sing, move and vocalize however you are able. (In the head works, too)

Allow the awakening to unfold!

The Law of the Octave

To form an octave is to double or halve a given frequency.                                                                                                                             The Cosmic Octave    Cousto    


When asked what one piece of information represented the most important knowledge humans possess, Richard Feynman, the remarkable mathemetician/physicist, replied:

Everything is made of atoms.

Indeed! What an amazing discovery! While the atomic structure and molecular composition vary from one object to the next, from one human to the next, from one star to the next, still – Everything is made of atoms!

But wait! There is more! Atoms are comprised of electrons that orbit a nucleus. And atoms are primarily “empty” space. Yet this moving, spacious world of Everything appears to human beings as material form. Even our earth suits have an animate integrity. What holds all of this together?  Within these “building blocks” lies a deeper cohesion, a durational measurement, a simple, but pervasive infrastructure for all of Creation – the oscillation.


An initiating gesture, rising to a peak, falling past the midline to trough, and rising back to the midline beginning – motion across/around a central axis – a cycle, one complete oscillation.  (The actual measurement is from peak to peak = one cycle) Put a bunch of oscillations together in a periodic sequence, and you have frequency. Frequencies, along with resonance, consonance, dissonance, hold the world together AND move us through our experiences. While our reality appears solid and stable, it is actually in constant flux driven by frequency oscillations. Oscillations are the pervasive movement pattern that weaves together what we call “reality”. From the quantum, to the electromagnetic, to the world of form, all of existence is waving at and through us. If this is true, then frequency is a portal into and through all of existence. And this portal is accessible and useful due to the Law of the Octave.

A vibrational frequency is known through a measurement called hertz. Hertz expresses the number of oscillations per second. One oscillation per second is 1 Hz, twenty-five oscillations per second is 25 Hz, and so on. Vibrational frequencies reveal the world to us through our senses. Everything we hear, vibrates at 20 Hz to 20,000 Hz, which is the audible spectrum. Everything we see is vibrating between 400 Trillion Hz and 750 Trillion Hz, which is the visible spectrum of the electro-magnetic field.  The entire electro-magnetic field is a vibrational gift basket of frequency bandwidths that give us telegraph, radio, television, mobile phones, internet, and the electricity to power it all. And then when we go deep into the building blocks of matter, what do we get? – more oscillations.

According to the Law of the Octave – every frequency is entangled with its half and its double. Any known frequency can be calibrated as an audible frequency or visual frequency or x-ray frequency, simply by  dividing higher frequencies by 2 and multiplying lower frequencies by 2. In the book The Cosmic Octave, Hans Cousto argues that the octave is a unit of measurement that can be useful in understanding and working with our very existence.  Using a simple mathematical formula, Cousto converts all manner of measureable phenomenon to audible tones. (More on that in a future post.)

The audible frequency range demonstrates clearly how The Law of Octave works. A frequency of 440 Hz is the infamous Concert A- multiply 440 x 2 and 880 is also an A tone. The frequency is higher, denser, more oscillations per second, but it is the same expression as the 440 – it also is an A. Divide 440 by 2 and you have 220 Hz – also an expression of an A note. This suggests a repetitive pattern that is renewed each time it doubles or halves. This is a moment of return, an opportunity to begin again. I am wondering about The Law of the Octave as a jumping off point in the design of all kinds of fractals (mostly sound fractals).

And this is just the beginning, as there are other factors informing my fractal understanding, including Nature’s Chord, the Golden Mean, and Fibonacci numbers.

For now, The Law of the Octave and its relationship to the movements of the Universe are enough to ponder.

Experiments in Audio Origami 2: The 11th Harmonic

This experiment began with a rather dubious YouTube video about the “11th harmonic” and its power in breaking up cancer cells. The video is about the Rife Machine, which was an invention from the 1930s purporting to cure many diseases. Royal Rife was the scientist and inventor who “discovered” frequencies that could interfer with the frequencies of diseased cells. The narrator of the YouTube video, stated that the 11th harmonic was the frequency that disrupted cancer cells. About a week after I started this post, I found a TED Talk along this same line:

What we are learning from quantum physics about how the Universe is put together lends quite a bit of credence to the idea that frequencies can disrupt disease. Oscillating frequencies make up the entire spectrum of “all that is.” When these frequencies interact with consciousness – “being” happens. Our singular awarenesses collapse the waveforms into the many points of existence – the mix of all our singularities creates what we call “reality”. The famous physicist Erwin Schrodinger put this idea in another way when he said, “The total number of minds in the Universe is one: In fact, consciousness is a singularity phasing within all beings.” Oscillating frequencies engage with each other through constructive (in phase) and destructive (out of phase) interference (or, as I like to call them – engagement) patterns. Thus the fabric of reality is an oscillating organism of frequencies engaging, changing and disengaging with each other. Our brains stabilize the whole thing so that we can navigate and participate in our lived experience.

Both of these videos assert that a harmonic relationship created by a low tone and a higher tone is necessary to disrupt diseased cells. In both cases, the necessary frequencies equate to an extreme number of oscillations. Dr. Holland said that frequencies needed to be around 300,000 to 400,000 hertz in order to destroy cancer cells. While these frequencies are waaaay outside of the audio spectrum, there is an organizing principle that allows for the possibility that lower audio frequencies might influence healing. And that organizing principal is – the octave. Whatever frequency you start with will always return “home” when it doubles. It is itself again. For example, middle C on a piano is about 262 hz, double that to 524 hz and you are at C again. This creates a resonating fractal that repeats on and on into infinity.

The harmonic overtone series, which is the basis for most everything we hear musically, is built around this doubling principal. As we add more iterations of the fundamental frequency, we create more overtone relationships. Using the middle C example again, adding 262 hz to 524 hz gives us 786 hz, which is G or a fifth above C. Add 262 hz to 786 hz and we get 1048 hz which returns us to C again. Now we are two octaves above our fundamental frequency Middle C, AND we are at the 3rd harmonic. By adding 262 hz eight more times we reach the 11th harmonic, which is 3114 hz – G in the fourth octave above middle C.  (For more on harmonic overtones and their impact on our cosmic existence check out Hans Cousto’s book The Cosmic Octave.) Now I can create an audible 11th harmonic by combining a fundamental frequency and the fifth degree of that frequency in the fourth octave above that frequency. So I decided to make a leap of faith into the realm of the cosmic octave, and create a soundscape that hinges on an 11th harmonic and the healing secrets that it may hold.

Folding/Unfolding: The 11th Harmonic is built on a tetrachord of fundamental tones – CEGB accompanied by their 11th harmonic companions  – GBDF#. The tones are 4 octaves apart, so this is not an interval you are accustomed to hearing. I chose 6 instruments and created patterns with these unusual intervals. As I thought about how to voice this harmonic, I identified three choices :1. alternate between the fundamental and harmonic in a variety of rhythmic patterns all on one voice, 2. have one voice sounding just the fundamental and a different voice sounding the harmonic, 3. since the 11th harmonic is a fifth in the fourth octave and the two octaves below the fourth octave also contain fifths (according to the overtone series), then I could vary the patterns with some fifth reinforcements in those lower octave. The second choice was very monotonous and weakened the presence of the 11th harmonic, so I went with the other two as my basic structure.

This soundscape will be performed tomorrow, May 15th from 2 to 4 pm as accompaniment for Glenna Batson’s latest Human Origami workshop. This workshop is subtitled Partnering with Paper, Exploring the Muse. Joy of Movement Studio in Chatham Mills is hosting the event. In addition, to the featured 11th harmonic, I will use the audio folding techniques I discovered during the previous Human Origami workshop.(See blog post –

We hope to see YOU there!