A Visual Guide To The Mathematics of Music

in music •  7 years ago  (edited)

A Mathematical Guide to Musical Vibrations


I would like to share a magical book with you.


Harmonograph: A Visual Guide To The Mathematics of Music
By Anthony Ashton

Published by Wooden Books



A harmonograph is a curious device that looks like this:


(Image found on Pinterest)

It uses weights and pendulums to draw fancy shapes. We can see the shapes musical notes create because we can apply musical ratios to the weights as they guide the pendulums.

Allow me to explain….



Story Time!



As the legend goes,

Pythagoras noticed the ringing of a blacksmith’s hammer changed when a larger or smaller hammer was used. Through experimentation he concluded that simple fractions produced pleasing sound.

A hammer half as large produced a higher sound, a ratio of 1:2

Pleasing harmony occurred when two hammers struck together, one hammer being two-thirds smaller, a ratio of 2:3

These ratios are the building blocks of musical scales

Applying these same ratios to the weights on our pendulums, we can inspire our harmonograph to depict stencils of the vibration!


Here are some samples from the book:

IMG_3764.JPG
IMG_3765.JPG
IMG_3766.JPG
IMG_3763.JPG



Stars and Hearts



IMG_3761.JPG

I am flabbergasted by the truth revealed in these simple ratios. How can it be that stars and hearts, two of the most popular symbols in our culture, naturally appear in the laws governing mathematical vibrations? Perhaps this is why we have such an obsession with star and heart shapes. We intuitively recognize the natural beauty inherent inside them. They resonate in us.


If you enjoyed this post, I encourage you to purchase a copy of this wonderful book. It makes a fantastic gift for yourself or the fortunate recipient of your generosity.

You may also find further delight exploring Sir Thomas Bazley's Index To The Geometric Chuck


This is an original post for Steemit by @CosmicVibration on 6 November, 2017.

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Yep, it gets even deeper with frequency tones and the interaction of these vibrations in conjunction with the ether as far as the activity created when the two mix. We study this in our labs.

Fascinating, @jetblake. Can you share any more about your research?

Well, it seems that there is a Universal source of all original frequency generation that effects the creation of matter. Call it GOD or SOURCE or whatever but a conscious entity of some kind is sending frequencies into a substance we call the Ether and when the frequencies hit this substance than a holograph appears which we call matter. We have found that we live in an electromagnetic holographic Universe. I gets even more crazy with regards to Stars and what they really are. They are not planetary objects that are a giant Fusion reactor utilizing Hydrogen and Helium reactions. That is completely wrong as taught in schools. Let me know if you want to know more.

I would absolutely like to hear more about this subject. If a star is not a fusion reactor, than what is it? Also, what substance is the Ether?

Stars are electromagnetic emitters. We can not see the stars in free space (outside our atmosphere). Visible light is a waste by-product of the EMF when it enters our atmosphere. Our eyes are designed to pick up this frequency that we call light. Each star or Sun as we call it, is a data emitter of coded information coming from counter space. The entire Electromagnetic spectrum has coded information on it. Objects that receive this EMF has receivers that de-code the data. For example our DNA de-codes the data in the light when it hits our shin. Other objects can de-code data in the infra red frequency, x-ray, ultra violet, radio, gamma etc. Our educational system has deliberately mislead us in the teachings of true physics. The powers to be know the true science but keep us in the dark so that humanity lags behind in technologies.

I would like to understand this viewpoint further, but I have questions. How are you sure that light sources cannot be seen outside of Earth's EMF? What about Hubble? Do the Hubble images still show stars because the telescope is still within the EMF even though it is outside of the atmosphere? Is there any evidence you have from your studies that you are willing to share?

Hubble is in low earth orbit so it is still receiving EMF through gross matter (atmospheric gases). I can not give any specifics. I am trying to give you hints to help guide you in the right direction. One thing to take serious is the following. We do know that there is an intelligence existing in counter space that is programming the EMF's. Each EMF is different from each star. It is like each star is the end of a fiber optic cable. Who and what is this intelligence? What is the data that is tagged with each frequency wavelength? The answers are bone chilling. Perhaps ancient writings are some what accurate when they discuss a 'GOD" .

If I have not scared you off by now, let me know and I can try and answer what is the Ether. We are not sure, we are studying this everyday. It is very complicated to understand but i do have theories.

I am interested to hear what you have to say about Ether; both in your theories and how you are pursuing studying your theories.

Stars are electromagnetic emitters. When you are in free space (outer space outside the atmosphere) you can not see any star. All that you can see in space are planets, moons and comets. You can only see our Sun or stars from within side an atmosphere. The electromagnetic energy is broken down into a waste by product that we call light (our eyes are designed to register this light). Solar flares and or Corona discharges are x rays and microwaves in the arcs of the EMF's exiting the Sun. Light only become visible when the EMF's hit gross matter. When it hits gross matter a waste by product break down exists that we interpret as light. I know this might sound strange but once you truly understand the truth regarding how our universe works a 'light bulb" will go off in your head and you will see in a whole new light the truth regarding how our universe works. Unfortunately, we have been mislead by our educational system deliberately. The powers to be know the true physics but hide it from the rest of us so that we stay behind technologically. Check out this short video of Professor Eric Dollard, he is brilliant and is an expert in EMF and radio waves. If I have not scared you off yet I can answer your second question regarding the Ether. Let me know what you think.

Very interesting indeed! For some reason nature os quite mathematical, the golden ratio is also everywhere.

The golden ratio and fractal self-similarity. Wherever you look you can find it on multiple levels!

Correct :) Mathematics and Structure everywhere :)

nice post i up voted you. please check my latest post on @iwant

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