THEY are attempting to DENY us FOOD. Tit for tat, eh? We deny THEM our Energy, thus starving THEM to death. The moment we no longer subscribe to THEIR system of gold and gods and sin, they begin to eat themselves. Oh, yes, they are very cannabalistic. Jana is right: They will eat their young. 'Here, Leezard, Leezard...'
'Yes, Leezard, BITE into THIS 'taco':' "Any theory which cannot find a fitting place within the wave has no other place for it in Nature."
Now 'wave' goodbye to the Leezard....'Bye, Leezard...you just don't fit where we are going: Your heart is two sizes too small...'
------------------
HOW TO CHANGE THE WORLD BY SEEING IT THROUGH DIFFERENT EYES - OUR OWN!
http://www.svpvril.com/musicuni.html
It Really is a Musical Universe!
by Dale Pond
November, 1999
This article will appear in the Winter 2000 Edition of the
University of Science and Philosophy's quarterly magazine, The Cosmic Light
The Theory of a Musical Universe1<
"The universe consists solely of waves of motion." relates
Walter Russell in chapter 31 of A New Concept of the
Universe. Another way of saying this is: "There exists nothing
other than vibration." In Russell's statement lies the base for
his next blast at orthodoxy's belief in a material universe: "Any
theory which cannot find a fitting place within the wave has no
other place for it in Nature." Hard words for sure but can they
stand up to scrutiny? Is it possible to create a paradigm of
nature that is structured entirely on wave or vibration theory?
Investigating the pioneer work of John W. Keely's Sympathetic
Vibratory Physics2 would lead us to believe
this is so.
Logically speaking for such a paradigm to exist it would be
couched entirely in vibration terms and concepts and would evolve
from the simple to the complex addressing atomic phenomena all the
way through human activity. This author believes this can be done
albeit not exhaustively in so short a paper as this one. Inasmuch
as a premise voiced ought to be demonstrated it will herein be
shown how all vibration is intimately connected to all other
vibration thereby demonstrating 1) the interconnectedness of all
things and energies; 2) all things are they themselves built up
from simple vibration to complex chords using universal principles
of vibration alone; 3) there is no such thing as chaos in the
universe; 4) all things exist by virtue of harmony among the
vibrations that make it what it is; and 5) all things are
intimately connected by sympathetic
vibration
.
Some of the information presented here was first published in
19913 and again in the author's book in
19944. This material represents the beginning of
the science side of the "science and philosophy" equation. The
universe vibrates from end to end and everything in it. Therefore
if we are to investigate and understand this awesome spectacle we
are obliged to investigate the nature of vibration.
If the universe were chaos there would be no harmony but only
degrees of chaos. All sound and vibration would be just plain
noise. Noise, therefore is unorganized vibration. But none can
doubt there is order recognizable throughout nature from the
uniformity of atomic structures and behaviors to spiral galaxies
whose swirling arms of orderly stars span light years and billions
of years of activity. This innate order has been long recognized,
researched and categorized and may be found in music theory. In
vibratory terms disorderly vibration can be organized in terms of
music principles. Therefore music is organized vibration or sound
set in orderly principles of structure and behavior. The
principles that make sound into harmonious music are the same
principles that govern all associating vibrations throughout the
universe - and that includes everything that there is. It will be
shown how any given vibration gives rise to a complex yet simple
series of subordinate vibrations known generally as harmonics and
these harmonics are relative to one another as are musical
intervals.
It is generally recognized that everything is a result of
vibration and each thing has its own chord of vibration or
vibration signature. This state of vibratory condition is
characterized in John Keely's Law of Corporeal Vibrations:
"All coherent aggregates when isolated from
like bodies, or when immersed or confined in media composed of
matter in a different state, vibrate at a given ascertainable
pitch." John Keely
5
It is a well known and accepted fact that any vibration as in
a sound tone will give rise to its octave harmonics. These are the
harmonics generally acknowledged by science as multiples of 2,
which multiplication derives superharmonics, and divisions by 2
derive subharmonics. These types of harmonic products or results
of 2 are called octave harmonics. What is not so generally
acknowledged but nevertheless just as true is a tone will give
rise to harmonics not divisible 2 but divisible by other numbers
such as 3, 5, 7, etc. These other harmonics are developed from and
within the octave harmonic series first mentioned by the octave
harmonics interacting arithmetically with and among themselves and
with the fundamental. These spontaneously and naturally occurring
tones will add and subtract from each other in a perfectly orderly
manner giving rise to summation and difference tones sometimes
referred to as secondary, tertiary or higher harmonics. When these
summation tones are very powerful they are referred to as beat
tones or beat frequencies and are considered enharmonic. These
arithmetically derived harmonics are characterized in Keely's Law
of Cycles:
"Coherent aggregates harmonically united
constitute centers of vibration bearing relation to the
fundamental pitch not multiples of the harmonic pitch, and the
production of secondary unions between themselves generate pitches
that are discords, either in their unisons, or overtones with the
original pitch; from harmony is generated discord, the inevitable
cause of perpetual transformation." John Keely
5
Vibrations are harmonious to one another when their aliquot
parts (factors and/or products) are the same. When these harmonics
form unisons or direct harmonic relations the two vibrating
aggregates and their chords of vibration are said to be
sympathetic to each other. This unison of frequency
dictates that what happens to one vibratorily happens to
the other simultaneously. In this case the vibrations of
each aggregate or chord and the vibrations active between each are
forming unisons or coincident harmonics and are therefore called
sympathetic vibrations. Vibrations are considered
enharmonic when their aliquot parts or factors are not similar.
Most vibrations will have similar factors and/or products and a
few dissimilar factors and/or products thereby giving rise to
varying degrees of harmony or dissonance whichever the case
may be.
In chart #1 we can see how this process works. Any harmonic
series or scale has a base frequency from which all its harmonics
are derived. This base tone is called its fundamental or key note.
In the chart a subharmonic of the musical note "C" is used as the
fundamental or foundation upon which are self-generated a series
of harmonics. This note has a frequency or rate of vibration of
256 cycles per second (cps) or a suboctave harmonic of middle "C".
The little squares contain a number representing the relative
amplitude or power of this note compared to the other notes soon
to be introduced. As a natural process of creative force this
fundamental tone will vibrate and this vibration will divide
itself into its own superharmonic of 512 cps (2 X 256) which will
in turn divide ad infinitum according to natural law. Concurrently
the number will also resonate and be sympathetic with subharmonics
of 128, 64, etc. This process of dividing into smaller and smaller
wavelengths is creative and evolutionary and
according to the Law of Harmonic Vibrations:
"All coherent aggregates are perpetually
vibrating at a period-frequency corresponding to some harmonic
ratio of the fundamental pitch of the vibrating body; this pitch
is a multiple of the pitch of the atomole [a subatomic
unit]." John Keely
5
This new frequency of vibration is the octave harmonic of the
fundamental (2 X 1) and is shown placed in the 2nd octave row
directly above the first "C1" vibrating on the 1st
octave row. The same process continues to unfold for virtually
uncountable octaves creating higher and higher frequencies in ever
more rising octaves. We will refer to this second "C" as
"C2" and so forth for each octave. So far so good, we
have a harmonic series born from the lone "C" stretching into
infinity both above the progenitor as superharmonics and below it
as subharmonics. So in the beginning there was One....
C1 is the creator of C2 which is the created
and so forth. This family of "Cs" are all related by number and
this relationship of number can be discovered by factoring and
multiplying.
256 factors into: 1X2X2X2X2X2X2X2X2. With this it can be seen
the "C" family "gene" (factors) is constructed of a 1 and eight 2s
or reduced to simply 1 and 2.
The number 1 will be seen to be shared by all other numbers
since all numbers contain 1. One is the ultimate Progenitor having
its essence in every thing that was created from it. Therefore One
permeates all vibrations equally everywhere and is sympathetic to
them all equally.
Vibrations are dynamic things not unlike living things.
They are creative and evolutionary simultaneously. They are active
and prolific in their dynamics as are their harmonic offspring.
These discrete tones of the harmonics interact with each other as
they intermingle. Being primarily number oriented they will, in a
very natural way mix, merge and divide among themselves just like
living cells as detailed in the Law of Cycles already mentioned,
the Fibonacci series or Golden Mean and according to the Law of
Harmonic Pitch:
"Any aggregate in a state of vibration
develops in addition to its fundamental pitch a series of
vibration in symmetrical sub-multiple portions of itself, bearing
ratios of one, two, three, or more times its fundamental pitch."
John Keely
5
C1 will add its numerical value to C2
and create a third number: 768 cps, which in terms of "Cness"
means little. But in relative terms it can be seen the 768 is 3
times the original C1 of 256 cps while 512 cps is 2
times the Creator pitch. These terms of degrees of
relativity are then 3 is to 2 as 768 is to 512 . The 3:2
(768:512 reduced to their least common denominators) ratio is a
musical ratio of a Perfect Fifth. In this first ratio of
spontaneously created harmonics we can see how a base tone gives
rise to a naturally occuring harmonic that is identical to two
musical notes representing a perfect musical interval of a Perfect
Fifth.
768 factors into: 1X2X2X2X2X2X2X2X2X3. The "G" family "gene"
is contructed of a 1, eight 2s and a 3. Reduced down we see a
Fibonacci connection to the "C" family being 1 + 2 = 3 thus
deriving all three "genes" or originating substance of the family.
The Fibonnacci series was developed as a result of analysis of the
reproduction rate of rabbits, living things. And in these musical
notes we see the same genre of self-replicating activity playing
throughout the universe.
The next harmonic to be born of the intermingling of the lower
tones is the rate of 1280 resulting from the additive summation of
512 cps to 768 cps. As an additional impetus to life 1280 is also
given more life force by adding in the energy of the 1st harmonic
of G being 1536 - C1 = 1280. This naturally derived
rate of vibration is equivalent to the musical note "E". E is a
musical Major Third above the patriarchal family of C and a Minor
Third below the matriarchal family of G.
Interestingly these three first notes derived from a
fundamental form the Great Triadic Chord of C, E & G long
considered as the most harmonious of all chords. This chord is
formed of musical Minor and Major thirds combining to form a
Perfect Fifth. This author believes this natural process is
revealed allegorically in the first few chapters of Genesis
demonstrating the seven intervals of creation resulting from
Divine Voice (sound) and Light then evolutionary steps forming the
material existence of Adam (C) and Eve (G), i.e., man and
woman. In other words, Genesis is an ancient and enlightened
scribe's attempt at detailing and conveying what they perceived as
this creationist and evolutionary process of life becoming and
being what it is - a rhythmic vibratory dance, oscillating and
undulating motions governed by the rules of music development.
Please notice the intimate connection of threes to nature as
regarded by both Russell and Keely:
"The seceret of man's ability to control his
universe lies in the knowledge of the tonal octave wave and its
field. Therefore know the wave in all of its simplicity of
three-times-three in numbered effect, multiplied to infinite
complexity but still not passing beyond the three-times-three of
man's easy comprehension." Walter Russell, A New Concept of the
Universe, page 56.
"Rotation arises through the harmonic
interactions of the dominant and enharmonic modes of vibration, in
the ratio of 3:9." John Keely,
Snell
Manuscript
E's "gene pool" is again different from its progenitors:
1280 factors into: 1X2X2X2X2X2X2X2X2X2X5. This "gene pool"
reduces to 1, 2 and 5 wherein we can see the harmonious connection
to the C and G families in the 1 and 2 being common "genes" or
factors of multiplicity which establish a degree of "sympathy" or
harmony between tones. And the Fibonacci aspect is seen again: 1 +
2 = 3 and 2 + 3 = 5.
Next in line of procreation is "D" having 2304 cps. The "D"
family of harmonics are created from a merging of G1 +
G2 = 2304 and C3 + E1 = 2304 . D
is therefore offspring of several combinations of progenitor tones
and has relatively high power of 16.
2304 factors into: 1X2X2X2X2X2X2X2X2X3X3. D's gene pool
reduces to 1, 2 and 3 same as the G family just a musical and
harmonic Fifth away. While E is a musical third from its parents C
and G while D is only a musical Second away. A third in musical
terms is considered more harmonious a relationship than a Second
which is considered somewhat discordant. The reason for this is
the closeness of the numbers. The ratio of numbers in a Second may
be so close that when they subtract from one another there arises
a slight difference which can become a beat tone and it is this
difference that gives rise to the perceived "harshness" of sound
of a chord made of these two tones when played together. This new
beat tone may have a factor set of numbers not wholely similar to
its prgenitors. One could liken this "marriage" of Second tones to
an interfamilial one wherein offspring may be "aberrant" in
formation and or activity. When sounded sequentially one after the
other there is a degree of harmony but together they do not make
harmonious music due to the enharmonic character of the beat
tone.
Another interesting harmonic born of this process of evolution
of harmonies is an interval close to the note F. An arithmetically
derived Perfect Fourth (3:4) above C4 (2048) would
yield F at 2730.6 which would be enharmonic. However a naturally
occuring summation tone of C4 (2048) + G1
(768) yields 2816 (F) which coincides with a musical Perfect
Fourth derived from C4 (2112) when A=440. What this
shows is the "pedigree" of a number determines how its harmonics
will interface with itself being then harmonious or discordant to
some degree. By simply shifting the fundamental by a digit or two
changes the degree of concordance. But this area of music and
harmony excedes the scope of this brief paper. This conversion
from naturally occuring harmonics to artifically derived musical
intervals7 is outside the scope of this short
discussion. The writer wishes to simply present the idea that all
sounds or vibrations when considered as a fundamental will yield a
complex series of octave and nonoctave harmonics following the
rules that govern music development which are in reality an
attempt to mirror naturally occuring activities among
vibrations.
There is another kind of additive and subtractive synthesis
going on in vibrations as they interact. This summation or
difference is in the POWER of the vibrations. Throwing a pebble in
a calm pool of water will give rise to concentric rings of waves
expanding outward. The rings of waves possess two basic wave
characteristics. Each ring is composed of a raised portion of
water and a sequential portion of lowered water each portion being
above and below the normal level of the water respectively. If
another pebble is thrown into the water a second series of
concentric rings will arise. The two series of rings will
interact. Where the crest of a wave meets another crest of a wave
from the other ring series the two crests will add their height to
each other thereby creating a momentary increase in height above
the unadded portion of each wave. And where a trough meets a
trough the reverse will be true. In sound waves this adding and
subtracting will occur with harmonics and harmonics of harmonics
resulting in quite complex wave configurations.
The Proof
All good theories require a proof before they can be accepted.
In our case of musical octave and nonoctave harmonics arising from
all vibrations we can present a model.
In November 1989 Sound & Vibration6
magazine published an interesting article on Chladni wave plate
modes and frequencies. The latest technology was used to record
and tabulate this intriguing phenomenon. The aim was to find the
various naturally occuring frequencies and modes of a vibrating
square plate when forced to vibrate thus revealing its natural
frequencies or modes of resonance.
In finding the interrelationships of the vibratory activities
along the lines of our theory a table of these naturally occuring
frequencies and modes was prepared, see chart #2. Common music
note intervals are compared along with the various modes and
frequencies discovered. It is very interesting to see that the
naturally occuring frequencies when compared one to
another, as is done with musical pitches to derive intervals,
all fall very close to known musical intervals7!
Ratio : Ratio
|
MUSICAL INTERVAL
|
DECIMAL
|
DIFFERENCE
|
|
|
EQUIVALENT
|
|
Mode 3 : Mode 2
|
|
|
|
1472 : 1207 cps
|
|
1.219...
|
|
6 : 5
|
Minor Third
|
1.2
|
.019
|
5 : 4
|
Major Third
|
1.25
|
.031
|
Mode 4 : Mode 3
|
|
|
|
2105 : 1472 cps
|
|
1.430...
|
|
64 : 45
|
Diminished 5th
|
1.4222
|
.0078
|
36 : 25
|
Diminished 5th
|
1.44
|
.01
|
Mode 2 : Mode 1
|
|
|
|
1207 : 817 cps
|
|
1.477...
|
|
36 : 25
|
Diminished 5th
|
1.44
|
.037
|
3 : 2
|
Perfect 5th
|
1.5
|
.023
|
Mode 4 : Mode 2
|
|
|
|
2105 : 1207 cps
|
|
1.743...
|
|
125 : 71
|
Augmented 6th
|
1.736...
|
.007
|
7 : 4
|
Harmonic 7th
|
1.75
|
.007
|
Mode 3 : Mode 1
|
|
|
|
1472 : 817 cps
|
|
1.801...
|
|
9 : 5
|
Tonic 7th
|
1.8
|
.001
|
15 : 8
|
Major 7th
|
1.875
|
.074
|
Mode 4 : Mode 1
|
|
|
|
2105 : 817 cps
|
|
2.576...
|
|
5 : 2
|
Major 10th
|
2.5
|
.076
|
8 : 3
|
Perfect 11th
|
2.666...
|
.09
|
|
©copyright
|
Dale Pond,
|
1990-1999
|
Chart 2
Taking just two modes by way of example, "Mode 3" and "Mode
2," we see the difference between these two numbers is only
19/1000ths greater than a Minor Third. The difference between this
naturally occuring interval and a Major Third is only 31/1000ths.
The differences of some of the other numbers are even closer to an
accurate musical interval. This becomes significant when a
vibration of 1207 cycles per second in the Mode 2 pattern could
generate a Mode 3 pattern at 1472 cps by simply increasing the
1207 cps by a musical third, a simple arithmetic
procedure.

There would be no complicated mathematical calculation
required to calculate or predict this new frequency. The
right-brain art of music would win out in its simplicity (chart
#3). In other words, the right brain simplicity would succeed
easily over the left brain complications (chart #2). Even more
significant is the grasp we would weld over a complicated subject
(chart #4). This simple insight gives us the Holy Grail of
science: Predictability. The resultant frequencies can be
accurately predicted before attempting the experiment. Thus
instead of finding a series of unrelated frequency numbers we find
a highly relative and organized phenomenon - pure harmony where
chaos was thought to be.
Musical intervals are the distances between pitches (relative
frequencies). An interval is the amount of change (Delta) between
the pitches. The frequencies can be set up as algebraic variables
set to a given difference in quantity just like symbolic notes
on a staff. See chart #3. It would then be easy to determine
the resultant secondary frequencies and modes from this
fundamental number by using the decimal values given above or
simply marking another note symbol a musical third, fifth, etc.
accurately representing a harmonic naturally derived. In other
words: when given a vibrating plate of these dimensions and
characteristics it would be a simply matter to predict its
vibrational behavior using these musical intervals and
understandings. An in-depth, left-brain, time-consuming and
expensive analysis would not be required.
Thus we can see our theory as stated earlier is accurate in
its concept, execution and in the information it yields. Proving
then, it really is a Musical Universe! which is both
created and evolved from its vibratory root of One
demonstrating there is no conflict between concepts of a
created universe and theories supporting material
evolution. Both these concepts work hand in hand to
manifest, choreograph and present the spectacle of beauty,
structure, dynamics, utility and love seen all around us. Genesis
records God as having said Light into Being but perhaps it
would be more accurate to say God sang Light into Being as
the prelude to our Cosmic dance?
References
1 http://www.svpvril.com
2 Keely
and His Discoveries
Clara Jessup Bloomfield-Moore
http://www.svpvril.com/svpweb2.html
3 The
Journal of Sympathetic Vibratory Physics
Volume V, Issue 3, page 8
http://ww.svpvril.com/svpweb2.html
4 Universal
Laws Never Before Revealed: Keely's Secrets
http://www.svpvril.com/svpweb2.html
5 http://www.svpvril.com/fortylaw.html
6 Sound & Vibration magazine
Acoustical Publications, Inc.
27101 E. Oviatt Rd.
P.O. Box 40416
Bay Village, OH 44140
(216) 835-0101
7 Complete list of these intervals can be found
in:
http://www.svpvril.com/musint.html
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