Strings start vibrating where the two rivers meet . . .

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Galileo Galilei, no mean musician, once famously said, "we must measure what is measurable &
we must make measurable what is unmeasurable."


This is a fundamental challenge where the question becomes what is being measured,
who is measuring & crucially what is the 'numeraire' (the unit of measurement)?


David Bohm - The Implicate Order

"All of this indicates how far the notion of measure went beyond that of comparison with an external standard,
to point to a universal sort of inner ratio or proportion, perceived both through the senses and through the mind."


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Phi Derivation = Stringularity


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Here is an audio-visual (A/V) animation. Touch the picture below and the A/V appears.
It represents a 'violin G-String' of constant-length & constant-tension.

Covering three octaves (Hz doublings) through G 1:1 (the G below 'middle C) G2:1 G 4:1 G 8:1.
Tuned as equal 12ths of an Octave, all semitones within that range can be sounded (Blue Buttons).

The user can chose both to hear & also to see the Hz rate of whatever harmony is selected.
Provenance-providence determines the harmonics (Gold Buttons) which form a major chord (
force-majeure).



Harmonics in the audio-visual also show the begining of what become the 'Phi-Curvature'

as prefigured in: -

  1. Lao Tzi's 'Tao Te King' (12*7=84) and
  2. Pythagoras' famous string experiment

In the audio-visual above, the gold circles show the strutured emergence of the harmonic series.
In the chart below, this very same structure continues where, as harmonics exist on all whole numbers
(including the Primes), the Phi curve is constantly emerging with it.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


How God moved his pencil?
Phi:Pi:Alpha:DNA double-helix:Standard-Model+Higgs+Phi=Symmetry Binding


However, the alignment that followed becomes more & more remarkable . . .
with Phi clearly emerging at step 12.618 of seven-octave*12-fifths created by
the Pythagorean comma, revealing equivalences of breath-taking simplicity . . .
Phi:Pi:Alpha:DNA-double-helix:Standard-Model+Higgs+Phi=Symmetry-binding . . .





Click the image below to animate it. A two-way feed-back loop-cuvature emerges between 0.00 & 0.618
i.e. fundamentally & self-referentially governed by 'Phi', the golden ratio that you are looking at in this chart.




The Phi Curve both creates & is created by the Harmonic Series

The sheer beauty of this simple and orderly basis of 'Phi' - this mother of all ir/rational numbers - is felt in these words of Einstein,
"The basic laws of the universe are simple, but because our senses are limited, we can’t grasp them. There is a pattern in creation."

It is Nature's smallest and most beautiful secret.
Click the image below to animate it.



MP4 Version for those who don't have FLASH installed

Extended version

Twist and Shout

Laurie Barlow

"The serendipity of your focus on the synergy of the Phi numbers, demonstrating a key harmonic of the natural world - and how
it vibrates around that irrational number - is a marvelous insight. Wish David Bohm was around to play with it...he'd have a field day.
"

David Bohm

"All of this indicates how far the notion of measure went beyond that of comparison with an external standard,
to point to a universal sort of inner ratio or proportion, perceived both through the senses and through the mind."

John Archilbald Wheeler

”It is my opinion that everything must be based on a simple idea and it is my opinion that this idea, once we have finally discovered it,
will be so compelling, so beautiful, that we will say to one another, yes, how could it have been any different.”


Galileo

Einstein

"Life without playing music is inconceivable for me.
I live my daydreams in music. I see my life in terms of music."


Roger Hare


"Musicians are marvelous puzzle solvers for one reason: they not only must know their part,
they have to know how it fits into the composition as a whole."