PYTHAGOREAN MUSIC THEORY
THA THREE LAWS OF RESONANCE
THE INCORRECT “PYTHAGOREAN TRIANGLE”
Today, as is incorrectly taught us in school and yet according to Plato and Aristotle, it was Pythagoras who had discovered tha mathematical formula which gives us a solution to tha length of the largest side of a right triangle (a squared + b squared = c squared). Not so. This so called “Pythagorean Triangle” was in fact utilized by tha Babylonians since at least 1000 years before Pythagoras’s lifetime (“Lost Discoveries, The Ancient Roots of Modern Science – from tha Babylonians to the Maya”pg. 7 by Dick Terese ISBN 0-684-83718-8).
It may be (according to a contemporary, popular Lebanese author Karim El Koussa who wrote Pythagoras,the Mathemagicion (ISBN 978-1-934597-16-3) that Pythagoras’s father and his mother were both Phoenicians from the great Mediterranean city of Soudon. According to this theory, Pythagoras, a Phoenician - not a Greek, grew up in the great city of Soudon as a todler and later, as a young boy, his family settled on the Greek island of Samos. Why then have we not been taught this in school? Have we been duped into believing that Pythagoras tha Greek was tha first philosopher and mathematician in the world in order to give tha Occidental World tha credit of creating “civilization?
The Real Pythagorean Triangle as I have researched it is a Hermetic/Chinese/Essenic resonance code essential to tha practical application of tha harmonic mathematics transmitted to Pythagoras through tha Essenes who were then still practicing tha musical secrets of Solomon. We are just now (2600 years later) beginning to understand tha possibilities of using this extremely simple resonance formula using a Pythagorean Kanon which I believed was secretely used in the Pythagorean Ceremonies and possibly many thousands of years before Pythagoras according to recent information concerning tha great ancient civilizations that predate Greece. Pythagoras’s musical secrets were not discovered by him but recovered by him- connecting tha still living Hermetic secret traditions of his time.
We know Pythagoras’s musical knowledge was transmitted only by himself directly and in secret to his disciples.
My personal opinion is that his practical music teaching was at tha source of all his cosmic knowledge. Pythagoras was a sort of musical avatar with a knowledge kept so secret that until now we are finally ready as an evolving civilization to receive this special gift of quantum resonance or practical string theory.
One of tha undisputed laws of Pythagoras was his Law of Silence. Pythagoreans never wrote anything down. His disciples were required to participate in a a 4 year practice of absolute silence before being considered to be allowed entrance to tha Inner Temple of Mysteries where I believe tha Universal Laws and Harmonic Principles were demonstrated by Pythagoras to his Inner Temple Disciples; not utilizing the written word but revealed on the musical instrument known as tha Kanon, or Pythagorean Harp, and since they (the Pythagoreans) never wrote anything down, tha Kanon was in effect their secret living Bible, expressing tha 3/2 Yin/Yang Cosmic Law of 3 limit mathematical acoustic nature which never changes within an ever changing constellation by altercating the many small individual movable bridges and by also altercating the tension of each string either up or down in frecuencies matching exact Pythagorean harmonics. Tha result is a radiant cosmic sonic creation used in tha Pythagorean ceremonies. That is to say tha music spontaneously composed and intuitively created on the Kanon always changes (similar to jazz improvisers and world music virtuosos today) yet uniquely with the 3/2 spiraling Pythagorean scale where tha underlying unchanging principle of harmony are the 3 laws: tha monadic principle of a vibrating string ,tha law of doubling( the octave), and tha sacred 3/2 interval which uniquely transforms source energy into an infinite spiral at tha quantum and cosmic level of creation.
After a vow of 4 years of silence in order to join Pythagoras’s inner circle I believe his disciples actually could keep a secret hence the confusion in our contemporary theoretical body of historical music relating to Pythagoras. Perhaps he actually understood and could practice an ancient Hermetic sonic formula relating to a spiritual science which reveals access for humanity to tha portal of spherical time, as well being a primary catalyst to practice lucid dreaming, galactic and inter-dimensional travel, experiencing life after death, realizing perfect health, abundance, and divine miracles.
Today, as is incorrectly taught us in school and yet according to Plato and Aristotle, it was Pythagoras who had discovered tha mathematical formula which gives us a solution to tha length of the largest side of a right triangle (a squared + b squared = c squared). Not so. This so called “Pythagorean Triangle” was in fact utilized by tha Babylonians since at least 1000 years before Pythagoras’s lifetime (“Lost Discoveries, The Ancient Roots of Modern Science – from tha Babylonians to the Maya”pg. 7 by Dick Terese ISBN 0-684-83718-8).
It may be (according to a contemporary, popular Lebanese author Karim El Koussa who wrote Pythagoras,the Mathemagicion (ISBN 978-1-934597-16-3) that Pythagoras’s father and his mother were both Phoenicians from the great Mediterranean city of Soudon. According to this theory, Pythagoras, a Phoenician - not a Greek, grew up in the great city of Soudon as a todler and later, as a young boy, his family settled on the Greek island of Samos. Why then have we not been taught this in school? Have we been duped into believing that Pythagoras tha Greek was tha first philosopher and mathematician in the world in order to give tha Occidental World tha credit of creating “civilization?
The Real Pythagorean Triangle as I have researched it is a Hermetic/Chinese/Essenic resonance code essential to tha practical application of tha harmonic mathematics transmitted to Pythagoras through tha Essenes who were then still practicing tha musical secrets of Solomon. We are just now (2600 years later) beginning to understand tha possibilities of using this extremely simple resonance formula using a Pythagorean Kanon which I believed was secretely used in the Pythagorean Ceremonies and possibly many thousands of years before Pythagoras according to recent information concerning tha great ancient civilizations that predate Greece. Pythagoras’s musical secrets were not discovered by him but recovered by him- connecting tha still living Hermetic secret traditions of his time.
We know Pythagoras’s musical knowledge was transmitted only by himself directly and in secret to his disciples.
My personal opinion is that his practical music teaching was at tha source of all his cosmic knowledge. Pythagoras was a sort of musical avatar with a knowledge kept so secret that until now we are finally ready as an evolving civilization to receive this special gift of quantum resonance or practical string theory.
One of tha undisputed laws of Pythagoras was his Law of Silence. Pythagoreans never wrote anything down. His disciples were required to participate in a a 4 year practice of absolute silence before being considered to be allowed entrance to tha Inner Temple of Mysteries where I believe tha Universal Laws and Harmonic Principles were demonstrated by Pythagoras to his Inner Temple Disciples; not utilizing the written word but revealed on the musical instrument known as tha Kanon, or Pythagorean Harp, and since they (the Pythagoreans) never wrote anything down, tha Kanon was in effect their secret living Bible, expressing tha 3/2 Yin/Yang Cosmic Law of 3 limit mathematical acoustic nature which never changes within an ever changing constellation by altercating the many small individual movable bridges and by also altercating the tension of each string either up or down in frecuencies matching exact Pythagorean harmonics. Tha result is a radiant cosmic sonic creation used in tha Pythagorean ceremonies. That is to say tha music spontaneously composed and intuitively created on the Kanon always changes (similar to jazz improvisers and world music virtuosos today) yet uniquely with the 3/2 spiraling Pythagorean scale where tha underlying unchanging principle of harmony are the 3 laws: tha monadic principle of a vibrating string ,tha law of doubling( the octave), and tha sacred 3/2 interval which uniquely transforms source energy into an infinite spiral at tha quantum and cosmic level of creation.
After a vow of 4 years of silence in order to join Pythagoras’s inner circle I believe his disciples actually could keep a secret hence the confusion in our contemporary theoretical body of historical music relating to Pythagoras. Perhaps he actually understood and could practice an ancient Hermetic sonic formula relating to a spiritual science which reveals access for humanity to tha portal of spherical time, as well being a primary catalyst to practice lucid dreaming, galactic and inter-dimensional travel, experiencing life after death, realizing perfect health, abundance, and divine miracles.
THE REAL SONIC PYTHAGOREAN TRIANGLE IS EQUALATERAL, REPRESENTING THE TRINITY WHICH DESCRIBES UNIVERSAL CREATION IN MUSICAL TERMS.
We now may have found tha First Piece of tha Quantum Puzzle:
In The Beginning was tha Word:
“Resonance”
We now may have found tha First Piece of tha Quantum Puzzle:
In The Beginning was tha Word:
“Resonance”
THE LAW OF ONE
The Law of One is referred to by tha Pythagoreans as tha Monad. The Chinese referred to it as tha Tao or the Way of Silence whence the Resonance of Creation or Pythagoras’s idea of tha Universal Monochord comes from. The Physicists now calls it tha Dark Energy which is mathematical proof of what tha Chinese knew thousands of years ago, that tha nothing in space is actually something (actualy 96% of the energy in our universe): in other words tha Tao or Source Field of energy itself. Tha Monad expresses Tha Cosmic All and Everything. It is most effectively represented by tha Monochord , a one stringed instrument used by tha Pythagoreans which sonically mirrors tha source field of multi/universal creation. In musical scale terminology it represents tha Tonic or Principal Key Note of tha Harmonic Pythagorean Modes.
The Law of One is referred to by tha Pythagoreans as tha Monad. The Chinese referred to it as tha Tao or the Way of Silence whence the Resonance of Creation or Pythagoras’s idea of tha Universal Monochord comes from. The Physicists now calls it tha Dark Energy which is mathematical proof of what tha Chinese knew thousands of years ago, that tha nothing in space is actually something (actualy 96% of the energy in our universe): in other words tha Tao or Source Field of energy itself. Tha Monad expresses Tha Cosmic All and Everything. It is most effectively represented by tha Monochord , a one stringed instrument used by tha Pythagoreans which sonically mirrors tha source field of multi/universal creation. In musical scale terminology it represents tha Tonic or Principal Key Note of tha Harmonic Pythagorean Modes.
THE LAW OF TWO
.. Tha Law of 2 Yin (Tha Law of Doubling) or in common musical terms Tha Law of tha Octave. This is tha phenomena we have known about throughout tha ages. Any frequency, for example, tha musical note A at 222hz ,will be lower in pitch and at the same moment be equal to A 444 and therefore also equal to A 888 and so on (doubling in one direction or halving in the other direction) to infinity: The psychological and cosmological implications to this concept are vast. It implies 2=1 which our solidly accepted real world perceived by our other non-auditory senses does not compute. 2=1 is tha musical solution to the enigma of quantum mechanics: ”is tha smallest microcosmic reality a wave? or a particle? or both”. Music does show us the real truth, and if only used correctly can reveal to us that separation is unity. Applying tha Law of the Octave we can access any supersonic frecuency or even minute waves and particles on the infinite spiral of creation by using the formula 1=2=4=8=16=32=64=128=256 to infinity and applying that theory backwards from whatever sonic or even super/sonic frequency (or forward from a slower than sound frecuency like an electromagnetic field for example) , until it returns to us becoming an audible listening frequency that we can apply on tha Pythagorean Harp.
The Duad expresses the number 2, The Yin Principle. It represents the Bridge of the Universal Monochord which divides the monadic string in two equal parts, becoming the twin octaves of the original monadic key note. These twin vibrations demonstrate the harmonic Law of the Octaves, that tha number 2, the Cosmic Doubler and Separator is actually and paradoxically equal to tha number 1. Therefore tha proportional points on the monochord which demonstrate tha law of the Duad are 1/1 (as previously explained), 2/1, 4/1, 8/1, and inversely 1/2, 1/4, 1/8. Any of these points intuitively chosen by setting a bridge on selected strings of a Kanon will provide harmonic grounding when creating a constellation. This sonic phenomena relates biologically to tha negative charge (also charged with dark energy because of its special cosmic relationship with the One ) and also the grounding end of the axis of our bodies toroidal electromagnetic biofield. We can receive that ground straight from the exact center of the earth and on through our first 3 chakras and settling into our heart chakra which is located in the exact center of our electromagnetic biofield.
Hence The # 1 and the #2 set the stage for tha multitude of creation to begin.
.. Tha Law of 2 Yin (Tha Law of Doubling) or in common musical terms Tha Law of tha Octave. This is tha phenomena we have known about throughout tha ages. Any frequency, for example, tha musical note A at 222hz ,will be lower in pitch and at the same moment be equal to A 444 and therefore also equal to A 888 and so on (doubling in one direction or halving in the other direction) to infinity: The psychological and cosmological implications to this concept are vast. It implies 2=1 which our solidly accepted real world perceived by our other non-auditory senses does not compute. 2=1 is tha musical solution to the enigma of quantum mechanics: ”is tha smallest microcosmic reality a wave? or a particle? or both”. Music does show us the real truth, and if only used correctly can reveal to us that separation is unity. Applying tha Law of the Octave we can access any supersonic frecuency or even minute waves and particles on the infinite spiral of creation by using the formula 1=2=4=8=16=32=64=128=256 to infinity and applying that theory backwards from whatever sonic or even super/sonic frequency (or forward from a slower than sound frecuency like an electromagnetic field for example) , until it returns to us becoming an audible listening frequency that we can apply on tha Pythagorean Harp.
The Duad expresses the number 2, The Yin Principle. It represents the Bridge of the Universal Monochord which divides the monadic string in two equal parts, becoming the twin octaves of the original monadic key note. These twin vibrations demonstrate the harmonic Law of the Octaves, that tha number 2, the Cosmic Doubler and Separator is actually and paradoxically equal to tha number 1. Therefore tha proportional points on the monochord which demonstrate tha law of the Duad are 1/1 (as previously explained), 2/1, 4/1, 8/1, and inversely 1/2, 1/4, 1/8. Any of these points intuitively chosen by setting a bridge on selected strings of a Kanon will provide harmonic grounding when creating a constellation. This sonic phenomena relates biologically to tha negative charge (also charged with dark energy because of its special cosmic relationship with the One ) and also the grounding end of the axis of our bodies toroidal electromagnetic biofield. We can receive that ground straight from the exact center of the earth and on through our first 3 chakras and settling into our heart chakra which is located in the exact center of our electromagnetic biofield.
Hence The # 1 and the #2 set the stage for tha multitude of creation to begin.
THE LAW OF THREE
...Thus enters the Law of 3 (Yang) ... interacting with Yin and initiating tha Infinite Spiral of tha Sonic Rainbow, mirroring creation: pure yin/yang rainbow of resonance gestated by utilizing a continuous series of perfect 5ths 3/2 and a continuous series of perfect 4ths ( fifths backwards) 2/3 and so on till infinity. It represents the energy axis of our toroidal electro bio-magnetic field. It is tha place where we receive light from above through our crown chakra and settling in to the heart chakra where we spontaneously resonate our personal and unique song always in tha moment – Tha Now, never performing a premeditated melody or harmonic sequence.Tha important thing to understand here is that by simply using this resonant source energy formula utilizing a Pythagorean Kanon we can access a genuine holistic and balanced creative sonic consciousness, in contrast to the intellectual left brain belief system that music education is currently employing. Harmonic practice could provide the bridge between Science and Spirituality and potentially reactivate all our 12 human DNA strands if we choose to evolve.
One of our most important limitations today is how contemporary civilization has been thoroughly indoctrinated with our current 12 tone equal temperament tuning system which is non harmonic . By non harmonic I mean in reference to tha common known fact that our tempered scale tones do not coincide with tha natural overtone and undertone series - including and even beyond tha Pythagorean 3 limit. Our modern equal temperament tuning system fails to purely activate these Pythagorean frequencies or even any of the natural just harmonic series of our clasical sacred tradition. In fact the continual indoctrination of tonal control in some form or another as applied to occidental music history dates back at least to tha time of Aristotle.
The True Pythagorean Scale generates a thirteen note scale, and since it actually only uses 12 of the 13 notes it in many ways resembles our 12 note chromatic scale used today. It also may be reconstructed using whole steps (9/8) obtained by tha formula (3/2x3/2)/2 and half steps at (256/243) obtained by tha formula (1x2x2x2x2x2x2x2x2/1x3x3x3x3x3 in order to construct the Rainbow Modes which resemble our diatonic scale and the 7 Greek modes with 7 notes each. A Pythagorean 13 note scale is created by spiraling 6 perfect 5ths (3/2 up from the fundamental tonic) and 6 perfect fourths (2/3 down from tha tonic). Tha two end notes of this spiral cycle of 13 notes (with tha tonic in the center) are our near equivalents to tha augmented 4th and the diminished 5th in our tempered scale which in this case are no longer tempered and equal. That difference describes an interval which is not normally played and is referred to as tha "Pythagorean Comma" which is 23.46 cents (almost 1/4th of our equal tempered 1/2 step. By theoretically and symbolically continuing this spiral we create a resonant road to infinity. This illusive number which is precisely 531441/524288 should be celebrated as the perfect geometric portal to infinity and studied as profoundly or even more so than tha numbers of pi and phi, the golden mean ratio and other special harmonic numbers. There are many secret and special qualities of this magic ratio which I believe will be revealed to us in time. However almost all musical experts past and present have mistakenly claimed that this number is and always has been an enigma.They insist that the Pythagoreans were terrorized by this comma. I am sure that neither Pythagoras nor his followers were ever terrorized by this incredible fact of nature. Tha beauty of this comma is hidden in that very mystery. It contains the secret of our resonance underlying biology, electromagnetism and tha quantum field.This Spiral doesn’t close to make tha circle of fifths as does our equal tempered chromatic scale. Reaching tha13th interval in the cycle of Pythagorean fifths it instead spirals on to infinity just like nature herself. It is tha formula of creation itself. The numbers 1, 2 and 3 generate the geometric pattern we call the Flower of Life.
… Thus enters the Law of 3 (Yang). . .interacting with Yin and initiating tha
Infinite Spiral of tha Sonic Rainbow, mirroring creation: pure yin/yang rainbow of resonance gestated by utilizing a continuous series of perfect 5ths 3/2 or a continuous series of perfect 4ths ( fifths backwards) 2/3 and so on till infinity. It represents the energy pole of our toroidal electro bio-magnetic field. It is tha place where we receive light from above through our crown chakra and settling in to the heart chakra where we spontaneously resonate our personal and unique song always in tha moment – Tha Now, never performing a premeditated melody or harmonic sequence.Tha important thing to understand here is that by simply using this resonant source energy formula utilizing a Pythagorean Kanon we can access a genuine holistic and balanced creative sonic consciousness, in contrast to the intellectual left brain belief system that music education is currently employing. Harmonic practice could provide the bridge between Science and Spirituality and potentially reactivate all our 12 human DNA strands if we choose to evolve.
One of our most important limitations today is how contemporary civilization has been thoroughly indoctrinated with our current 12 tone equal temperament tuning system which is non harmonic . By non harmonic I mean in reference to tha common known fact that our tempered scale tones do not coincide with tha natural overtone and undertone series - including and even beyond tha Pythagorean 3 limit. Our modern equal temperament tuning system fails to purely activate these Pythagorean frequencies or even any of the natural just harmonic series of our clasical sacred tradition. In fact the continual indoctrination of tonal control in some form or another as applied to occidental music history dates back at least to tha time of Aristotle. The True Pythagorean Scale generates a thirteen note scale, and since it actually only uses 12 of the 13 notes it in many ways resembles our 12 note chromatic scale used today. It also may be reconstructed using whole steps (9/8) obtained by tha formula (3/2x3/2)/2 and half steps at (256/243) obtained by tha formula (1x2x2x2x2x2x2x2x2/1x3x3x3x3x3 in order to construct the Rainbow Modes which resemble our diatonic scale and the 7 Greek modes with 7 notes each. A Pythagorean 13 note scale is created by spiraling 6 perfect 5ths (3/2 up from the fundamental tonic) and 6 perfect fourths (2/3 down from tha tonic). Tha two end notes of this spiral cycle of 13 notes (with tha tonic in the center) are our near equivalents to tha augmented 4th and the diminished 5th in our tempered scale which in this case are no longer tempered and equal. That difference describes an interval which is not normally played and is referred to as tha "Pythagorean Comma" which is 23.46 cents (almost 1/4th of our equal tempered 1/2 step. By theoretically and symbolically continuing this spiral we create a resonant road to infinity. This illusive number which is precisely 531441/524288 should be celebrated as the perfect geometric portal to infinity and studied as profoundly or even more so than tha numbers of pi and phi, the golden mean ratio and other special harmonic numbers. There are many secret and special qualities of this magic ratio which I believe will be revealed to us in time. However almost all musical experts past and present have mistakenly claimed that this number is and always has been an enigma.They insist that the Pythagoreans were terrorized by this comma. I am sure that neither Pythagoras nor his followers were ever terrorized by this incredible fact of nature. Tha beauty of this comma is hidden in that very mystery. It contains the secret of our resonance underlying biology, electromagnetism and tha quantum field.This Spiral doesn’t close to make tha circle of fifths as does our equal tempered chromatic scale. Reaching tha13th interval in the cycle of Pythagorean fifths it instead spirals on to infinity just like nature herself. It is tha formula of creation itself. The numbers 1, 2 and 3 generate the geometric pattern we call the Flower of Life.
To Recapitulate:
The Monad, The Duad, and the Triad then express the Trinity, The Active Yang Principle in Action. The Triad symbolically represents The Many strings of a Harmonic Kanon, a multi stringed instrument utilizing strings of equal thickness and length, and numerous moveable bridges. This was the musical instrument used in secret by the Pythagoreans that I am now attempting to reactivate today. The Pythagorean Harp is capable of activating all of tha Pythagorean Rainbow Modes, utilizing exponents of the number 3 Yang as it relates proportionally to tha exponents of tha number 2 Yin (the pure double of the cosmic 1 Monad) thereby creating a spiraling sonic rainbow with an infinite creative capacity which models the cosmic principles of yin and yang. In other words, the Pythagorean Kanon is a creative harmonic laboratory mirroring cosmic creation. By programming positive emotional intentions the harmonic points of the strings are activated on the Kanon. Our constellation is created by positioning the movable bridges on selected strings by intuitively choosing any one the harmonic points: 3/2, 3/1, 6/1, 2/3, 1/3, 1/6 for each chosen string.
...Thus enters the Law of 3 (Yang) ... interacting with Yin and initiating tha Infinite Spiral of tha Sonic Rainbow, mirroring creation: pure yin/yang rainbow of resonance gestated by utilizing a continuous series of perfect 5ths 3/2 and a continuous series of perfect 4ths ( fifths backwards) 2/3 and so on till infinity. It represents the energy axis of our toroidal electro bio-magnetic field. It is tha place where we receive light from above through our crown chakra and settling in to the heart chakra where we spontaneously resonate our personal and unique song always in tha moment – Tha Now, never performing a premeditated melody or harmonic sequence.Tha important thing to understand here is that by simply using this resonant source energy formula utilizing a Pythagorean Kanon we can access a genuine holistic and balanced creative sonic consciousness, in contrast to the intellectual left brain belief system that music education is currently employing. Harmonic practice could provide the bridge between Science and Spirituality and potentially reactivate all our 12 human DNA strands if we choose to evolve.
One of our most important limitations today is how contemporary civilization has been thoroughly indoctrinated with our current 12 tone equal temperament tuning system which is non harmonic . By non harmonic I mean in reference to tha common known fact that our tempered scale tones do not coincide with tha natural overtone and undertone series - including and even beyond tha Pythagorean 3 limit. Our modern equal temperament tuning system fails to purely activate these Pythagorean frequencies or even any of the natural just harmonic series of our clasical sacred tradition. In fact the continual indoctrination of tonal control in some form or another as applied to occidental music history dates back at least to tha time of Aristotle.
The True Pythagorean Scale generates a thirteen note scale, and since it actually only uses 12 of the 13 notes it in many ways resembles our 12 note chromatic scale used today. It also may be reconstructed using whole steps (9/8) obtained by tha formula (3/2x3/2)/2 and half steps at (256/243) obtained by tha formula (1x2x2x2x2x2x2x2x2/1x3x3x3x3x3 in order to construct the Rainbow Modes which resemble our diatonic scale and the 7 Greek modes with 7 notes each. A Pythagorean 13 note scale is created by spiraling 6 perfect 5ths (3/2 up from the fundamental tonic) and 6 perfect fourths (2/3 down from tha tonic). Tha two end notes of this spiral cycle of 13 notes (with tha tonic in the center) are our near equivalents to tha augmented 4th and the diminished 5th in our tempered scale which in this case are no longer tempered and equal. That difference describes an interval which is not normally played and is referred to as tha "Pythagorean Comma" which is 23.46 cents (almost 1/4th of our equal tempered 1/2 step. By theoretically and symbolically continuing this spiral we create a resonant road to infinity. This illusive number which is precisely 531441/524288 should be celebrated as the perfect geometric portal to infinity and studied as profoundly or even more so than tha numbers of pi and phi, the golden mean ratio and other special harmonic numbers. There are many secret and special qualities of this magic ratio which I believe will be revealed to us in time. However almost all musical experts past and present have mistakenly claimed that this number is and always has been an enigma.They insist that the Pythagoreans were terrorized by this comma. I am sure that neither Pythagoras nor his followers were ever terrorized by this incredible fact of nature. Tha beauty of this comma is hidden in that very mystery. It contains the secret of our resonance underlying biology, electromagnetism and tha quantum field.This Spiral doesn’t close to make tha circle of fifths as does our equal tempered chromatic scale. Reaching tha13th interval in the cycle of Pythagorean fifths it instead spirals on to infinity just like nature herself. It is tha formula of creation itself. The numbers 1, 2 and 3 generate the geometric pattern we call the Flower of Life.
… Thus enters the Law of 3 (Yang). . .interacting with Yin and initiating tha
Infinite Spiral of tha Sonic Rainbow, mirroring creation: pure yin/yang rainbow of resonance gestated by utilizing a continuous series of perfect 5ths 3/2 or a continuous series of perfect 4ths ( fifths backwards) 2/3 and so on till infinity. It represents the energy pole of our toroidal electro bio-magnetic field. It is tha place where we receive light from above through our crown chakra and settling in to the heart chakra where we spontaneously resonate our personal and unique song always in tha moment – Tha Now, never performing a premeditated melody or harmonic sequence.Tha important thing to understand here is that by simply using this resonant source energy formula utilizing a Pythagorean Kanon we can access a genuine holistic and balanced creative sonic consciousness, in contrast to the intellectual left brain belief system that music education is currently employing. Harmonic practice could provide the bridge between Science and Spirituality and potentially reactivate all our 12 human DNA strands if we choose to evolve.
One of our most important limitations today is how contemporary civilization has been thoroughly indoctrinated with our current 12 tone equal temperament tuning system which is non harmonic . By non harmonic I mean in reference to tha common known fact that our tempered scale tones do not coincide with tha natural overtone and undertone series - including and even beyond tha Pythagorean 3 limit. Our modern equal temperament tuning system fails to purely activate these Pythagorean frequencies or even any of the natural just harmonic series of our clasical sacred tradition. In fact the continual indoctrination of tonal control in some form or another as applied to occidental music history dates back at least to tha time of Aristotle. The True Pythagorean Scale generates a thirteen note scale, and since it actually only uses 12 of the 13 notes it in many ways resembles our 12 note chromatic scale used today. It also may be reconstructed using whole steps (9/8) obtained by tha formula (3/2x3/2)/2 and half steps at (256/243) obtained by tha formula (1x2x2x2x2x2x2x2x2/1x3x3x3x3x3 in order to construct the Rainbow Modes which resemble our diatonic scale and the 7 Greek modes with 7 notes each. A Pythagorean 13 note scale is created by spiraling 6 perfect 5ths (3/2 up from the fundamental tonic) and 6 perfect fourths (2/3 down from tha tonic). Tha two end notes of this spiral cycle of 13 notes (with tha tonic in the center) are our near equivalents to tha augmented 4th and the diminished 5th in our tempered scale which in this case are no longer tempered and equal. That difference describes an interval which is not normally played and is referred to as tha "Pythagorean Comma" which is 23.46 cents (almost 1/4th of our equal tempered 1/2 step. By theoretically and symbolically continuing this spiral we create a resonant road to infinity. This illusive number which is precisely 531441/524288 should be celebrated as the perfect geometric portal to infinity and studied as profoundly or even more so than tha numbers of pi and phi, the golden mean ratio and other special harmonic numbers. There are many secret and special qualities of this magic ratio which I believe will be revealed to us in time. However almost all musical experts past and present have mistakenly claimed that this number is and always has been an enigma.They insist that the Pythagoreans were terrorized by this comma. I am sure that neither Pythagoras nor his followers were ever terrorized by this incredible fact of nature. Tha beauty of this comma is hidden in that very mystery. It contains the secret of our resonance underlying biology, electromagnetism and tha quantum field.This Spiral doesn’t close to make tha circle of fifths as does our equal tempered chromatic scale. Reaching tha13th interval in the cycle of Pythagorean fifths it instead spirals on to infinity just like nature herself. It is tha formula of creation itself. The numbers 1, 2 and 3 generate the geometric pattern we call the Flower of Life.
To Recapitulate:
The Monad, The Duad, and the Triad then express the Trinity, The Active Yang Principle in Action. The Triad symbolically represents The Many strings of a Harmonic Kanon, a multi stringed instrument utilizing strings of equal thickness and length, and numerous moveable bridges. This was the musical instrument used in secret by the Pythagoreans that I am now attempting to reactivate today. The Pythagorean Harp is capable of activating all of tha Pythagorean Rainbow Modes, utilizing exponents of the number 3 Yang as it relates proportionally to tha exponents of tha number 2 Yin (the pure double of the cosmic 1 Monad) thereby creating a spiraling sonic rainbow with an infinite creative capacity which models the cosmic principles of yin and yang. In other words, the Pythagorean Kanon is a creative harmonic laboratory mirroring cosmic creation. By programming positive emotional intentions the harmonic points of the strings are activated on the Kanon. Our constellation is created by positioning the movable bridges on selected strings by intuitively choosing any one the harmonic points: 3/2, 3/1, 6/1, 2/3, 1/3, 1/6 for each chosen string.
The natural tendency for expansion of creation is represented by this tenfold Pythagorean triangle of which the secret of the music of the trinity is amplified and reveals the potential harmonics of cosmic creation.
Every diagonal starting from any of the 10 numbers leaning to the left is yin or the law of doubling. Every diagonal starting from any of the 10 numbers leaning to the right is yang or the law of tripling. Theoretically it continues in a similar fashion on to infinity.
Sacred Geometry, Numerology, and Astrology
are then gestated by these resonant laws. Water is its conduit. Gravity and electromagnetism describe it.
The harmonic laws of tha True Pythagorean Scale represent these creative kanons and when activated on tha Pythagorean Harp transform into a representative model of tha sonic spiral of tha space/time/multi-dimensional continuum.
All laws and harmonic principles were demonstrated by Pythagoras on tha musical instrument known as tha Kanon, or Pythagorean Harp ,and since they (tha Pythagoreans) were to never write anything down, the Kanon was in effect their secret Living Bible, expressing tha 3/2 Cosmic Laws of mathematical acoustic nature which never change within an ever changing radiant cosmic sonic creation by always initiating new constellations. In past times and as reactivated in tha present, tha music spontaneously and intuitively created on the Kanon always changes - yet tha underlying principles of 1,2 and 3,that is tha Tao, Yin and Yang never change. It is tha sacred 3/2 interval which uniquely transforms source energy represented by the number 1 into an infinite spiral at the quantum and cosmic levels of creation.
The Pythagorean Three Limit Lambdoma
The sonic harmonic numbers in actuality expand infinitely. This chart includes all the harmonic intervals which apply to universal creation utilizing the formula 2= yin and 3= yang.
