Derived from harmonic time-space parameters, Pythagorean theory is the basis for explaining rhythm, form, movement, shape, timbre, and the other general factors in the art of music, as the pitch basis of cognitive neoformalist music analysis has shown. Prominent theorist Ernst Levy wrote the comprehensive Pythagorean music theory analysis A Theory of Harmony.152 Even Cazden, in his essay critical of Pythagorean theory, admits that, "Pythagorean norms for intonation describe correctly objective standards for the measurement and psycho-acoustic identification of the terms of musical relations...."153

Research by music theorist Jacques Viret similarly states that Pythagorean theory is a "dynamic arrangement of relationships...a series of fractions...which are basically qualitative, and not a series of whole numbers, which are quantitative... They are a symbol of a basic centre...therefore the principle of tonality does not arise as an accidental phenomenon of the style, but as a fundamental feature of an utterance, inseparable from the basic nature of musical intervals in their qualitative dimension."154

Since Pythagorean theory should actually be the spiral of fifths, from the natural comma or overshoot, the initial framework of the musicology debate is itself wrong. The Equal Temperament Scale, the Just Scale, and the Mean-Tone Scale are all examples of attempting to compensate for the error but they still maintain closed systems just based on increasing levels of abstraction.155 Contemporary "atonal" and serial music is still premised on reacting to, but from within, the closed repressed analysis derived from the comma of Pythagoras.

It is just a further evolution of the same structural problem.156 Meyer recognized this problem in atonal total serialized music-its low dimensional level and its lack of dealing with "verticalization" or form by intrinsic functionality derived from harmony. In Music, the Arts and Ideas Meyer also points out that transcendental music or minimalism, albeit more "tonal," has been inspired by the concept of Zen (or Taoist Ch'an) nothingness and is an attempt to change constructs of western linear time and space.

Karlheinz Stockhausen, a major Twentieth century composer, based his sophisticated music theory and extremely rich compositions as all dependent on the natural free vibration harmonic system.157 Meyer dismisses Stockhausen's approach with the same error that Viret corrected regarding the marginalization of Pythagoras. Meyer states that since we measure tones by frequencies but we hear pitches then there can be no qualitative connection stemming from quantitative patterns. But, as Viret rightly states, we actually measure tones by an infinite matrix of ratios. Harmony and different orders of information are built from the dynamic of proportions which people can perceive.158

In response to this fundamental problem of the western repressed spiral of fifths, the influential contemporary composer Harry Partch built a new tuning system that reflects music as an accurate model of reality. His system, called the "tonality diamond," is identical to the Pythagorean Lambdoma or infinite ratio matrix of harmonic resonance derived from the void.159

Contemporary composer Sun Ra also conveyed an accurate multidimensional model of music with its logical cultural consequences. As he states,

The music is not part of this planet in a sense that the spirit of it is about happiness. Most musicians play earth things, about what they know, but I found out that they are mostly unhappy and frustrated and that creeps over into their music.... I'm dealing with pure sounds... People have a lot more of the UNKNOWN than the known in their minds.... Prepare for the journey! ...you will step out of the pages of the Blinding Blend of the Book, and gaze astounded at the ENDLESS SPACE of the COSMO-VOID.160

The number one, as represented in the Pythagorean oath, modeled nondualism ( "the way or grand Dharma" (i.e. the wheel of universal resonant energy or the Tao).162 The first four numbers were qualitative transcendental descriptions. Their sum of ten was represented by a sacred pyramid based on the Greek lambda symbol ( extended to the transcendental lambdoma, and later applied as the limited materialistic irrational number - Ã - in western mathematics. The first four numbers of the pyramidal quaternion (lines of 1, 2, 3, 4) model "the source of everflowing nature."163 The first four divine number ratios (1, 1:2, 2:3, 3:4), equivalent to the vital energy of Taoist qi gong, are considered the "seed of fire," the "creative essence," and "logos," by Pythagoreans.164 One Yoga text describes the vital energy as such:

By the rubbing of one stick against another, fire is produced; By the applying of that fire, both sticks are burnt up. Similarly, the Super-Intellect [the infinite vital energy of the absolute void] is born of the union of the "Moving" [basic harmonic waves] and the "Non-Moving" [the basic nodes]; And by That, to which they give birth, both are consumed.165

In 1854 Georg Bernhard Riemann, by extending the musically conceived Pythagorean Theorem, toppled the over 2000 year-old pillars of Euclidian geometry according to a leading theoretical physicist Dr. Michio Kaku. Riemann mathematically postulated beyond the third dimension of space, creating almost a revolution in western consciousness. Hermann von Helmholtz, of the Helmholtz theory of harmony, and "perhaps the most famous German physicist of his generation," was "deeply affected by Riemann's work."166 Such prominent scientists as Johann Zollner, professor of physics and astronomy at the University of Leipzig, William Crookes, inventor of the cathode ray tube, William Weber (Gauss's collaborator and namesake for the international unit of magnetism), Nobel laureates J.J. Thompson and Lord Rayleigh, all used Riemann's mathematical proof of hyper-dimensions as the defense for their Society of Psychical Research experiments with paranormal effects.

The effect of Riemann's research as now validated by the superstring theory, is that force is a consequence of the resonance of connected multidimensional waves. Cosmologist Stephen Hawking's main contribution has been to present the concept of the quantum wave function of the universe. Noble laureate Brian Josephson of Cambridge University, Oxford University mathematician Roger Penrose and other physiologists, neuroscientists, mathematicians, and physicists are of the position that paranormal effects can potentially be explained by "quantum resonance" processes of the brain.167 Since in western science a person never knows the state of a particle until a measurement is made, "Some physicists, like Nobel laureate Eugene Wigner, have insisted that quantum theory proves the existence of some sort of universal cosmic consciousness in the universe."168 Even Paul D. McClean, senior researcher scientist at the National Institute of Mental Health and promoter of the traditional "triune" brain model has recently turned to resonance:

...harmonic resonance looms large in the consideration of subjectivity at the molecular and atomic levels both with respect to electron ("matter particles") and photons ("electro-magnetic particles") with their wave properties in relation to atoms.169

New York University professor K. O. Friedrichs in his book From Pythagoras To Einstein also derives hyper-dimensional space-time from the Pythagorean theorem, a concept explored recently in the same named article found in the journal Foundations of Physics.173 The Stanford trained physicist Dr. Stanley Sobottka in a self-published book, Consciousness has directly connected the collapsed empty space-time wave-function with the metaphysics of nonduality.174 Dr. Milton K. Munitz's extensive philosophical analysis of cosmology is a promotion of "The Boundless Existence" from the creative nothingness beyond philosophy, a concept he takes directly from apeirion, the Pythagorean term for the Unlimited, the fundamental dialectic.175 Dr. Hideo Seki has theorized that because of the fundamental nondual nature of hyper-dimensional space-time, information-energy is able to communicate across the universe instantaneously in agreement with nonlocality. He applies this theory to explain the distant healing of chi powers.176

The most common example of a person enacting force as resonance is a singer who adjusts her voice to the natural free vibration of a glass, resonates with the glass and increases the energy level. In that case the glass breaks, but in the case of water or air the molecules can be transposed and transformed into more refined states of energy, simply by understanding the basic principles of universal harmony. As Jeans states, "...a disturbing force only excites by resonance the 'natural harmonics' of a tone of the same period as itself."177 If the principles of resonance are properly understood at a high enough level of refinement, especially the ability to stay in the absolute void, than any form can be transformed into any other space-time state, as will be further described.

While in Japan listening to monks sing Stockhausen had a transcendent experience and realized the following:

I became aware that all the differences in cultures and languages, and in the compositions of individual composers, are dialects, and that the fundamental measure of them all is the same: the intervals...The purest musicality is also the purest mysticism in a modern sense.178

The word is an abyss through which the speaker strides. One should speak words as if the heavens were opened in them...He who knows the secret melody that bears the inner into the outer, who knows the holy song that merges the lonely, shy letters into the singing of the spheres, he is full of the power of God.179

The hua t'ou and Kung an are questions or extra-linguistic actions that wipe out thoughts and enable contact with the absolute void. They are "the same method practised by" the Bodhisattva "who turning inward the ear to hear all-embracing awareness" found self-natured enlightenment. Called "meditation on the organ of hearing" it was, in Buddha's selection process, praised as "the most convenient for people on this earth" and is considered "the one most suitable to us in the period of decline of Dharma."183 Connecting the process to qi gong, "The best place in which to hold the hua t'ou is between the pit of the stomach and the navel [the main node or energy center of the person]."184 Yü emphasizes that

It is absolutely wrong to keep the vital principle in the lower belly or to prevent it from flowing freely in the eight psychic channels. When it has accumulated in the belly, it is advisable to shift one's concentration to the 'central spot' so that it can be put into the main orbit [the two main energy cycles of the person]. ...we recommended concentration on the spot between the navel and the pit of the stomach....185

Sound therapist Jonathan Goldman remarks, "We can actually feel different parts of our body vibrate with sound. For those who have had no experience working with the subtle body [vital energy or chi], this physical resonance makes it easier for them to accept the possibility of resonating subtle energy as well...."188 Goldman has extensively explained the healing effects of harmonic overtone mantra practices. He reports that when escorted to a normally off-limits chamber of a Mayan pyramid and asked to produce a mantra, his voice caused the secret room to become full of light called sonoluminescence.

Dr. Philip S. Callahan's Paramagnetism: Rediscovering Nature's Secret Force of Growth gives key insight to the importance of understanding fundamental energy dynamics as a means of countering destructive corporate-state materialism. Callahan's rare work documents the need for bioenergy to transcend our reductionist addiction to petro-chemical farming. For instance Callahan has discovered that petrochemical agribusiness saturates plants with ammonia thereby actually attracting insects via chemico-electric infrared signals.189 Volcanic soil that is highly paramagnetic (attracted or resonates to magnetic fields) dramatically amplifies chi yin/yang resonance dynamics and is essential to restoring plant vitality and insect resistance.

Another example is how the moon is paramagnetic while most organic molecules, as well as water, are diamagnetic (repels or acts as opposite phase to magnetic fields). Studying the energy dynamics of rocks and other natural forms, Callahan notes geomancy is "often expressed according to the Golden Mean of the ancient Greeks."190 He provides a sound-current nondualism explanation for sound from light or sonoluminescence stating:

Lighting up the atmosphere with sound is a phenomenon I have been easily able to accomplish since 1969.... A snapped rubber band gives off an ELF radio wave in the 100- to 200-Hz region.... By stimulating a mixture of ethanol and ammonia, or sex scents, with an ELF wave, I can create photon harmonics throughout the infrared, and even visible, regions of the spectrum. The electric sound field vibrates the molecules.... Those harmonic waves travel up and down the photon electromagnetic spectrum the same way harmonics do from a plucked banjo string. In one direction, the harmonics move to higher frequencies along the infrared region and even move into the visible region. When such waves hit solid objects like cells or insect antenna, they scatter out other waves of electromagnetic energy that are actually coherent (marching together) and amplified. Pictured is a Fourier transform spectrum (original recordings for historical purposes) of just such waves. The experiment shows cabbage looper sex scent modulated by ELF (60-120 Hz) lab visible light and blown out at five mph wind speed across two model round towers.191

Master Lin uses OM to help open up a person's energy channels. Taoist qi gong master Mantak Chia explains, "By resonance, this spinning ball [of chi], helps stimulate the flow of the orbit [or the main energy channel of the body]."192 Biologist Rupert Sheldrake, a theorist well-recognized by radical ecologist Warwick Fox in Toward a Transpersonal Ecology, calls this formative causation through resonance, "morphogenesis" from "morphic" (form) "fields."193 The same generative process can be shown in a more basic manner again with simple music. Dr. Hans Jenny rediscovered that by placing various mediums on a steel plate with a sound oscillator attached to the bottom, the complex biological forms on the plate are examples of Pythagorean proportional sound nodes organizing matter, called cymatics.194 Scientist Andrew Gladzewski discovered that atoms are harmonic resonators as did the John Hopkins University chemistry professor Donald H. Andrews.195

Andrews not only developed the infrared television camera but he authored several standard textbooks on chemistry. His rare insights that caused him to develop sound-current nondualism were published obscurely as The Symphony of Life and reveal important findings. As we described the nodes of natural, free vibrations, for the surface of planes or say a drum-head, those nodes become nodal lines. As mentioned by Nick Herbert three-dimensional resonating spheres form "nodal circles," a finding that Andrews elaborates on. For example an octave overtone in a sphere is "where the outer half of the air contracts while the inner half expands."196 These spheres are equivalent to the structure of atoms or "atom-bells" and Andrews gives an example for water:

As the water vapor in the air circulates, each of its water molecules sounds a very high-pitched tinkle of three tones [three atoms: two hydrogen, one oxygen]. Actually, of course, this "tone" energy is given out not as sound but as radiation in the infrared part of the spectrum.... To reproduce the harmony of the water molecule precisely one need to have three electronic oscillators that can be set or tuned to give out notes precisely in the ratio of 1615/3674/3796. These numbers are the 'wave numbers' that are proportional to the actual frequency of the tones of the water molecule.

Andrews uses a crude analogy of a bird: C# is oxygen "flapping" and when its "wings" (hydrogen) contract they create E-flat. When one "wing" is extended, while the other "wing" is contract" they created E (below C#). Continuing this research Andrews was able to construct the chords for methanol, acetic acid, ethanol, benzene, methyl alcohol, etc. and some sounded "jazzy," some "melancholy," some like Debussy, etc. Probably his most important finding though is the essential crucial point of sound-current nondualism: "However, it is interesting that in building the structure of life, nature selects the bells for this carillon that are related only to the lower prime numbers 2, 3 and 5, like the notes of our conventional scale."197

He writes that it is the "resonance" or "mingled chime" of these atom bells that, like John Keely discovered, produce transformations of states of matter. The basic Pythagorean proportions that we model by the octave, fifth/fourth and third/sixth are the harmonics, the forms in motion that create and transform reality. Andrews states that if he were to use resonance for modeling the "form coordinates" of hyper-dimensions he would "pull out the three-dimensional overtone stops" on his reality organ.

Researchers Peter Tompkins and Christopher Bird documented that music based on Pythagorean harmony caused plants to grow in a dramatically improved manner while highly dissonant sound caused plants to be stunted.198 Their efforts were inspired by another discoverer of the principle of self-organization, Cleve Backster, who calls the wave-form phenomenon 'primary perception.' He found that by attaching psychogalvanic-reflex electrodes to plants (i.e. "the lie detector") the plants dramatically consistently react to thoughts depending on their qualitative basis. Threatening to harm other life forms in the plants' presence caused immediate registrations. Plants were documented to be greatly attracted to positive thoughts. Even yeast, blood and the scrapings from the roof of a man's mouth show the same type of reactions. Backster's experiments have been highly credible and are generally known as "the Backster effect," while a whole field called psychotronics has developed from the qualitative harmonic principles.199

Lyall Watson makes an important statement about this role of resonance:

Life as we know it is based on carbon. Carbon nuclei come into being as a result of the rare and simultaneously triple collision of three separate helium nuclei. None of this, however, can take place unless the resonance, the frequency of internal vibration of all three nuclei, is in complete harmony. But, as chance would have it, the thermal energy of a typical star, the temperature of its interior, lies at the one level that makes this not only possible, but inevitable.199a

The specialized otolaryngology research of Dr. Alfred Tomatis has so well proven that resonating natural free vibrations of sound can restore vital energy to a person that it has been dubbed, like Backster, the 'Tomatis effect.' His methods of vital energy derived from overtones, just as with the mantras of the five processes of energy, are used systematically to successfully treat many illnesses. According to Dr. Tomatis, the three main functions of the ear are: "to assume balance (equilibrium, body tone and integration of motor and sensory information), to analyze and, decode movements from outside the body (cochlea) and inside the body (vestibular) so that auditory-vocal control is established; and to charge the brain."202

While explaining the principles of rhythmic vibrations of energy it should be further emphasized that proportional resonance does not give reductionist primacy to material existence over consciousness, as has also been a mistaken critique of open systems radical ecology theory. Meyer states, "the ultimate foundation of rhythm is to be found in mental activity." Even though, "the more order and regularity the mind is able to impose upon the stimuli presented to it by the senses; the more likely it is that motor behavior does play an important part in facilitating and enforcing the musical experience."203

Taoist qi gong makes the same point at a deeper level:

"When beginning to cultivate (essential) nature [enlightenment] and (eternal) life [immortality] it is necessary first to develop nature.... This is called fixing spirit in its original cavity which should be where (essential) nature is cultivated and the root from which (eternal) life emerges."204

If the spirit is not focused properly the process is described as shaking the water in order to settle the sediment. This is not effective because the mind can not properly channel the air energy and in that case trying to enact longer breaths will only cause irregular, stressed reactions of breath. The breath energy follows the mind energy.205

The method of qi gong also helps explain the sound-current nondualism resonance processes that the ancient texts, presented by Olson, elucidate as well. The famous and ancient qi gong technique taken from a stone engraving "by Kao Lin of the old Hangchou period" calls for the hands to cover the ears and for the hands to tap the "Heavenly Drum" (base of the skull). Olson states "According to the Taoists, producing this sound coordinates and harmonizes the central nervous system."

The technique states that sound waves from the void of the heavenly drum will naturally harmonize the pulses or nodes of the body.206 This resonance corresponds with consciousness because literally the refined energy of the mind harmonizes with the refined energy or primal chi of the air. Through harmonic principled intention (the periodic law of Pythagoras) this energized air harmonizes with and resonates or refines the energy of the body into the spirit-state. Music theorist Beaulieu describes the same process from the Pythagorean perspective:

Proper harmonic alignment of the sacrum [latin: sacred bone, Taoist gate of life] with the feet and head creates the intervals of a fourth at the coccyx, a fifth at the second fused bone of the sacrum, and a sixth at the top of the sacrum. This opens an area an inch and one half below the navel referred to as the Tan Tien in Taoism [energy node]. Freedom of sacral motion and harmonic alignment of the sacrum is optimal for the production and fluctuation of cerebrospinal fluid. CSF was considered by the ancient Taoists to be the physical counterpart of chi or life energy, and more recently by cranial osteopaths [Dr. William Garner Sutherland] as the elixir of life....Intervallic proportions have a direct effect upon the craniosacral system, which in turn affects our central nervous system and posture.207

The term sound-current nondualism is inspired by an ancient meditation practice called the Quan Yin method literally translated as "sound-current."208 Although the Quan Yin method is practiced freely the main proponent of it is master Suma Ching Hai. The history of her initiation may seem unbelievable to westerners yet she was also the recipient of the 1994 World Spiritual Leadership Award that was presented by the governors of the states of Illinois, Iowa,Wisconsin, Kansas, Missouri and Minnesota. Her principles are the same as those of Pythagoras, as will be shown, and are worth quoting at length:

In the Surangama Sutra, Sakyamuni Buddha said that the Quan Yin Method was the highest of all methods. However none of Her [Suma Ching Hai] teachers knew it. She traveled and searched everywhere and finally, after many years, found a Himalayan Master who initiated Her into the Quan Yin Method and gave Her the Divine Transmission that She had sought for so many years....That Master was the great Master Khuda Ji, who lived in seclusion deep in the Himalayas. Master Khuda Ji was four hundred and fifty years old when He initiated The Supreme Master Ching Hai into the ancient art of meditation on the heavenly Sound and divine Light. He had remained patiently in His Himalayan abode waiting for Her. She would be His first and only disciple. Although, She had practiced this form of meditation before, Master Khuda Ji was to impart to Her the ultimate spiritual transmission that is the essence of Initiation. Only the few great Masters, who have attained the Ultimate, can perform Initiation....After a brief period of Quan Yin practice, She became fully enlightened and continued practicing and improving Her understanding. She remained in retreat in the Himalayas for some time, continuing Her daily practice....

This primal Vibration or Sound is in its nature transcendental and therefore perceived in silence. Jesus' disciples called it the 'Holy Spirit' or the 'Word' (which is from the Greek word 'Logos,' meaning sound). 'In the beginning was the Word, and the Word was with God, and the Word was God.' After Shakyamuni Buddha attained enlightenment, He spoke of this Sound too, calling it the 'drum of immortality'. Krishna equated Himself with the 'sound in ether'. Mohammed perceived this Sound in the cave at Gare-Hira when He had a vision of the archangel Gabriel, and Lao Tzu described the Tao as the 'Great Tone'.... THERE ARE TWO KINDS of sound: the worldly sound, and the supra-worldly sound. The worldly sound is very important to our sensual and mental comfort, but the supra-worldly sound draws us back to God. WITH OUR POOR worldly language, every time I would like to speak about this great treasure within us, I feel so ashamed of doing such a poor job. But I have somehow to try to convey a part of this great wisdom so that you may feel interested, and find it out for yourself, and then you will know it for yourself without any language.209

To a question by a visitor which seemed to hint that Realised Souls lived only for themselves, 'Why does not Bhagavan go about and preach the Truth to the people at large?' Maharshi replied: 'How do you know I am not doing it? Does preaching consist in mounting a platform and haranguing the people around? Preaching is simple communication of Knowledge; it can be really done in Silence only. What do you think of a man who listens to a sermon for an hour and goes away without having been impressed by it so as to change his life? Compare him with another, who sits in a holy presence and goes away after some time with his outlook on life totally changed. Which is the better: to preach loudly without effect or to sit silently sending out Inner Force?

Again, how does speech arise? There is abstract knowledge, whence arises the ego, which in turn gives rise to thought and the thought to words. So the word is the great-grandson of the original Source. If the word can produce effect, judge for yourself, how much more powerful must be preaching through Silence.210

In the development of enlightenment and immortality, Taoist qi gong master Mantak Chia refers to open systems theory to describe the conserving, recycling, and transforming of negative emotions, the main source of energy blockages, into positive emotions. Sound-current nondualism, by modeling the foundation principles of these basic energy processes, demonstrates their simple and universal validity that is equally applicable to all of reality, including the conservation, recycling and transformation of energy in healthy ecosystems and in human societies.211

Every open level of information (i.e. multidimensional octave of sound-currents or energy consciousness) is formed by the fundamental principles of harmony. Once understood by those harmonic principles reality can be harmonized or transformed from the absolute void ( regardless if it is an individual, a social dynamic, or a material process (further examples below).

Through resonance and harmonization of the rhythmic patterns of energy derived from the infinite void, the practitioner, as Chia describes, strives toward "combining all the virtues into the energy of compassion, the ultimate virtue and a necessary attribute for our spiritual being."212 Chaos systems theorist Ilya Prigogine states, "there is a need for new relations between man and nature and between man and man. We can no longer accept the old a priori distinction between scientific and ethical values."213 In order for the West to develop the radical ecology open systems approach to reality we need to first examine the deeply seated theoretical basis for why there is a lack of resonating harmony in the destructive modern worldview of the West. Sound-current nondualism enables us to expose the true roots of today's western-induced global crisis of ecological justice.

152 Ernst Levy, A Theory of Harmony, edited by Siegmund Levarie (Albany: SUNY Press, 1985).

153 Cazden, "Pythagoras and Aristoxenos Reconciled," p. 194.

154 Jacques Viret, "Music, Numbers, Space: Some Pythagorean Meditations," International Review of the Aesthetics and Sociology of Music 17 (1986): 147-161.

155 Ibid., p. 166. See also John S. Lawrence, "The Diatonic Scale: more than meets the ear," The Journal of Aesthetics and Art Criticism 46 (Winter 1987): 281; H.F. Cohen, Quantifying Music: The science of music at the first stage of the scientific revolution, 1580-1650 (Boston, MA: Kluwer Academic Publishers, 1984).

156 Theorist Mark Delaere, without considering the repressed comma of Pythagoras, incorrectly argues that atonal serial music is the parallel of the new physics. In actuality Pythagorean harmonics, or the natural multiples derived from nothingness and the comma of Pythagoras, have been used explicitly to model quantum theory and the cosmic cycle of axial precession. Mark Delaere, "Mutations in systems in the natural sciences and music in the first half of the twentieth century," International Review of the Aesthetics and Sociology of Music 21 (June 1990): 3-28. For comma of Pythagoras in quantum theory see Christian Wertenbaker, "A New Science of Mysticism: Pythagoras in 1999." On comma of Pythagoras in cosmic axial precession see Hancock, Fingerprints of the Gods. On the comma in lunar/solar calendars see David Tame, The Secret Power of Music. See also Ben Iverson and Dr. Carl Elkins, Pythagoras and the Quantum World (Peyton, CO: Delta Spectrum Research, 1997).

157 Bela Bartok also created a Pythagorean system derived from the intuitive pentatony of the Magyar people-see Lendvai's Bela Bartok. Stockhausen was able to produce dozens of overtones through vocalization by concentrating vibrations in different parts of his head and taught his students the same. See Goldman, Healing Sounds.

158 Cazden, "Pythagoras and Aristoxenos Reconciled." Meyer, Music, the Arts and Ideas, pp. 242, 246, 303, 314. Viret, "Music, Numbers, Space."

159 For Partch's musical system see http://www.deandrummond.com/zoomprimer.htm#just intonation. For the Pythagorean Lambdoma see Barbara Hero and Robert Miller Foulkrod, "The Lambdoma Matrix and Harmonic Intervals: The Physiological and Psychological Effects on Human Adaptation from Combining Math and Music" in Engineering in Medicine and Biology, March/April 1999. See also Joscelyn Godwin, Harmonies of Heaven and Earth: Mysticism in Music from antiquity to the avant-garde (Rochester, Vermont: Inner Traditions, 1995). See also http://members.aol.com/Lambdom/Home/ILRIHomePage.html.

160 For Sun Ra quote see "Holeworld," http://www.holeworld.com/stellar.html

161 Jeans, Science and Music, p. 168. Although other "speculative" music theorists touch on this issue (David Tame, Michael Hayes and Joachim-Ernst Berendt for instance) Rowena Pattee Kryder's book Sacred Ground to Sacred Space well describes the problem of the comma in relation to energy dynamics (pp. 91-93). Chinese music, by the way, keeps the Pythagorean ratios which is why it sounds 'out of tune' to western ears.

162 John Spiers, "Pythagoras-Guru and Absolutist," Brahmavadin 12 (1977): 236-248.

163 Ibid.

164 David Grandy, "The Musical Roots of Western Mathematics," Journal of Interdisciplinary Studies 5 (1993): 3-24. Pythagoras during his near East and African initiations collected this knowledge. He was known to have lived in Egypt for twenty-one years and as the Greek guru he also was known to wear an Egyptian headdress. See John F. Miller, "My Experience with Pythagoras," Journal of Religion and Psychical Research 21 (1998). See also Dibinga wa Said, The African Origins of Pythagoras' Philosophy of Sciences (Boston, MA: Omenan Corp, 1995).

165 W.Y.Evans-Wentz, Tibetan Yoga and Secret Doctrines, "The Nirvanic Path: The Yoga of the Great Symbol," p. 137.

166 Kaku, Hyperspace, p. 44. Riemann was also the source of inspiration for the Otzovists', or Russian "God-builders," call to reject western materialism, as mentioned in the "Introduction" section of this book.

167 Radin, The Conscious Universe, p. 284 citing B.D. Josephson, "Biological Utilisation of Quantum Nonlocality," Foundations of Physics 21 (1991): 197-207; Roger Penrose, Shadows of the Mind (Oxford: Oxford University Press, 1994).

168 Kaku, Hyperspace, p. 264. See also Herbert S. Green, Information Theory and Quantum Physics: Physical Foundations for Understanding the Conscious Process (New York: Spring-Verlag, 2000).

169 Paul D. McClean, "The Brain and Subjective Experience: Questions of multilevel role of resonance," The Journal of Mind and Behavior 18 (1997): 145-166, cited by Charles Don Keyes, Brain Mystery Light and Dark: The rhythm and harmony of consciousness (NY: Routledge, 1999).

170 Ibid., p. 268.

171 Ibid., p. 250.

172 Gary E.R. Schwartz and Linda G. S. Russek, The Living Energy Universe (Charlottesville, VA: Hampton Roads Pub. Co., 1999).

173 K. O. Friedrichs, From Pythagoras to Einstein (Washington D.C.: The Mathematical Association of America, 1965). Abraham Ungar, "From Pythagoras to Einstein," Foundations of Physics 8 (1998): 1283-1326.

174 Stanley Sobottka, Consciousness (Charlottesville, Va.: University of Virginia, 1999 ).

175Milton K. Munitz. The Question of Reality (Princeton: Princeton University Press, 1990) and Milton K. Munitz, Cosmic Understanding: Philosophy and science of the universe (Princeton, N.J.: Princeton University Press, 1986).

176 Hideo Seki Ph.D., Engineering, The Science of Higher Dimensions: The Science of Qi and Cosmic Consciousness (Tokyo: Sawayaka Publications, 1995). Dr. William A. Tiller, Emeritus, Department of Materials Science & Engineering, Stanford University, has, in the Journal of Scientific Exploration 13 (1999) proposed the following sound-current non-dualism multidimensional example: "Towards a Predictive Model of Subtle Domain Connections to the Physical Domain Aspect of Reality: The Origins of Wave-Particle Duality, Electric-Magnetic Monopoles and the Mirror Principle," Here is his abstract: "Humans see only a small fraction of the electromagnetic spectrum and hear only a small fraction of the sound spectrum. Perhaps we similarly perceive only a small fraction of a greater reality spectrum. We propose to quantify this concept by hypothesizing that our familiar D-space of ordinary experience and physical laws is augmented by a reciprocal R-space. It is conjectured that conjugate substances synergistically functioning in both our familiar direct four-space (D-space) and its reciprocal four-space (R-space) constitute a special eight-space representation of matter whose projection onto D-space constitutes the present base space for quantum mechanics and electromagnetism. Utilizing a Fourier transform relationship between conjugate substances functioning in these dual four-spaces, it has been possible to show that: (1) the R-space substance has negative energy and thus is a resident of the physical vacuum; (2) this R-space substance forms the pilot waves conjugate to physical particles, exhibits velocity properties faster than physical light and has a magnetic nature; (3) variation of the undulation intervals of the wave-like R-space substance controls the position, velocity, acceleration and locus of particle-like moieties in the 'now' of D-space; and (4) a special inversion mirror-type relationship exists between the substances of these two spaces with Maxwell-type equations existing in each." Tiller uses this very impressive and elegant theory to explain all paranormal phenomena and cites Karl Pribram (see below) as well as D.J. Meuhsam, Y. Wu, M. S. Markov, P. A. Meuhsam, A. A. Pilla, and R. Shen, "Effect of Qi-gong on Cell-free Myosin Phosphorlyation: Preliminary experiments," Subtle Energy 5 (1994). See also William A. Tiller, Science and Human Transformation: Subtle energies, intentionality and consciousness (Walnut Creek, CA: Pavior Publishing, 1997).

177 Jeans, Science and Music, p. 84.

178 Michael Kurtz, Stockhausen: A Biography, trans. Richard Toop (London: Faber and Faber, 1992), pp. 2, 199. For similar stories of transcendent sources of creativity see Arthur M. Abell, Talks with Great Composers (Secaucus, N.J.: Carol Pub. Group, 1994).

179 Joscelyn Godwin, Harmonies of Heaven and Earth, p. 56, citing Martin Buber, Hasidism and Modern Man, trans. and ed. Maurice Friedman (NY: Horizon Press, 1958). Besides the latest work of Music and Cultural Analysis Chafe Wallace also argues that the same natural principles of sound are the basis for language and music in the chapter "The Flow of Consciousness in Music;" Chafe Wallace, Discourse, Consciousness and Time (Berkeley: University of California Press, 1994). Laird Addis's Of Mind and Music (NY: Cornell University Press, 1999) also promotes music as a natural sign system; his linguistic analysis has been seen as a parallel to Chomsky by other analysts. For further analysis see Anoop Chandola, Music as Speech: An ethnomusicolinguistic study in India (New Delhi: Navrang, 1988); and George Kalamaras, Reclaiming the Tacit Dimension: Symbolic form in the rhetoric of silence (Albany, NY: SUNY Press, 1994).

180 Berendt, The World Is Sound, p. 131. Dr. N. Gangadharan, although leaving out the linguistic analysis of Berendt, tells us that Om is sometimes translated as yes "and in that sense it my be compared to Amen." In the Upanishads Om was noted as comprising the sacred a, u, and m noted later as standing for Vishnu, Shiva and Brahma respectively or the concept of the Trinity. "Lord Krishna proclaims...I am the syllable Om in all the Vedas." Dr. N Gangadharan, "The Mystic Sound," Brahmavadin 17 (1982): 7-13. See also Guy Leon Beck, "Sonic Theology: Hinduism and the soteriological function of sacred sound" (Ph.D. Dissertation, Syracuse University, 1989).

181 Lu K'uan Yü, The Secrets of Chinese Meditation: Self-cultivation by mind control in the Ch'an, Mahayana and Taoist schools in China (NY: Samuel Weiser, 1975), p. 84. An example of a hua t'ou might be "Who is it that calls the Buddha's Name?" (the answer being the true self-nature or the nondualistic absolute void).

182 Ibid., pp. 46-47.

183 Ibid., p. 41.

184 Yü, Ch'an and Zen Teaching, p. 56. See also chapter six, "Authentic Experiments with Buddhist and Taoist Methods of Self-Cultivation" in The Secrets of Chinese Meditation.

185 Yü, The Secrets of Chinese Meditation, p. 203

186 Loy, Nonduality, 39.

187 W. Y. Evans-Wentz, Tibetan Yoga and Secret Doctrines, p. 206

188 Jonathan Goldman. Healing Sounds: The Power of Harmonics. (Boston, MA: Element, 1996), p. 116. See also Don Campbell, The Mozart Effect: Tapping the power of music to heal the body, strengthen the mind, and unlock the creative spirit (New York: Avon Books, 1997); Dr. John Ortiz, The Tao of Music, Sound psychology: Using music to change your life (York Beach, ME: Samuel Weiser, 1997).

189 Philip S. Callahan, Insect Molecular Bio-Electronics (College Park, MD: Entomological Society of America, 1967). Callahan has documented that the round-towers from ancient Ireland were used to amplify cosmic energy for the growth of plants. Master gardener and author of the Seeds of Change directory, Gabriel Howearth was shown these same energy-sound amplification practices by the Maya. Peter Tompkins and Christopher Bird, Secrets of the Soil: New Age Solutions for Restoring Our Planet (NY: Harper and Row, 1989), pp. 285-6.

190 Philip S. Callahan, Paramagnetism: Rediscovering nature's secret force of growth (Metairie, LA: Acres, USA, 1995), p. 38.

As Dr. Dean Radin points out, new studies are realizing the power of supposedly weak geomagnetic forces on life of the planet, including humans. Radin, The Conscious Universe, p. 177, citing J.C. Weaver and R. P. Astumain, "The Response of Living Cells to Very Weak Electric Fields: The thermal noise limit," Science 247 (1990): 459-62; B. W. Wilson, et. al., "Evidence of an effect of ELF electromagnetic fields on human pineal gland function," Journal of Pineal Research 9 (1990): 259-69. Dr. Lyall Watson emphasizes the same point, as documented by many researchers. He states that Dr. Robert Becker has "concluded that our body's direct current electrical control system is tuned by natural rhythms and is responsive to changes that take place at surprisingly low levels." Watson, Beyond Supernature, citing R. O. Becker and G. Seldon, The Body Electric (NY: Morrow, 1985). M.C. Moore-Ede, et. al., The Clock That Times Us (Cambridge, Harvard University Press, 1982). K. McAuliff, "The Mind Fields," Omni, August, 1984.

This same geomancy based on resonance has been used as a model by Christopher P. Dunn, The Giza Power Plant: Technologies of Ancient Egypt (Santa Fe, N.M.: Bear & Co., 1998). Dunn applies the concept of universal energy as demonstrated by Nikola Tesla and with the Helmholtz resonator. Building on the work of Graham Hancock, and many others, Dunn persuasively argues that the Great Pyramids, just as Callahan has proven with other megaliths, are amplifiers and resonators of natural harmonic vital energy.

191 Ibid., pp. 86-87. Using an infrared spectrometer Callahan has also documented that mantras cause laser-like spikes of infrared radiation. Tompkins and Bird, Secrets of the Soil, pp. 275-276.

192 Chia, Awaken Healing, p. 261.

193 Rupert Sheldrake, A New Science of Life (London: Blond and Briggs, 1981). Warwick states "Now if Sheldrake's fascinating but presently highly controversial hypothesis turns out to be supported by a wide range of experimental findings then this would, I think, cause the biggest revolution in biology, and in the sciences generally...." Warwick Fox Toward a Transpersonal Ecology: Developing new foundations for environmentalism (Albany, NY: State University of New York Press, 1995). Or as Joseph F. Goodavage describes it, "...the energy fields discovered by Drs. Harold S. Burr and Leonard Ravitz at Yale University's School of Medicine.... These medical men published numerous reports describing the existence of a complex field of energy surrounding every man, woman and child and every living thing on Earth. They call it the L-field or Field of Life ( a refined form of energy which could be a kind of 'higher octave' force existing beyond the familiar electromagnetic spectrum. These fields surround every cell and seed. Apparently in existence everywhere in the universe, they coalesce prior to the formation of the physical organism (and may survive its dissolution)." from Magic: Science of the Future (London: Signet, 1976), pp. 72-73.

194 Beaulieau, Music and Sound in the Healing Arts, pp. 37-41.

195 Andrew Gladzewski, "The Music of Crystals, Plants and Human Beings," Radio-Perception 9 (1951) cited by David Tame, The Secret Power of Music.

196 Donald H. Andrews, The Symphony of Life (Lee's Summit, Missouri: Unity Books, 1966), p. 142.

197 Ibid, p. 199.

198 Peter Tompkins, Christopher O. Bird, The Secret Life of Plants (NY: HarperCollins, 1989).

199 Watson, Supernature, pp. 226-228, citing Cleve Backster, "Evidence of a Primary Perception in Plant Live," International Journal of Parapsychology 10 (1968): 4. G. De La Warr, "Do Plants Feel Emotion?" Electro Technology, April 1969.

199a Watson, Beyond Supernature, pp. 30-31.

200 The attack is described by James P. Carter, Racketeering In Medicine: The suppression of alternatives (Norfolk, Va.: Hampton Roads Pub., 1993) and Lisa, P. Joseph, The Assault on Medical Freedom (Norfolk, VA: Hampton Roads Pub., 1994).

201 http://www.drclark.ch/ Dr. Clark Research Association, 8135 Engineer Road #2748, San Diego, CA. 92111. Clark also directs us to health hazards caused by electromagnetic pollution or dissonance see http://www.radar3.com or see B. Black Levitt, Electromagnetic Fields: A consumer's guide to the issues and how to protect ourselves (NY: Harcourt Brace & Co., 1995). See also Jeane Manning, Dr. Nick Begich, Angels don't play this HAARP: Advances in Tesla technology (Anchorage, Alaska: Earthpulse Press,1995).

202 Goldman, Healing Sounds, p. 74. See also Susan Tomkins, "The Interaction of Musical Sound Waves and Meridian Energy" (E.D.D. Dissertation, University of Massachusetts, 1996); Patricia Joudry, foreward by Yehudi Menuhin, Sound Therapy for the Walk Man (Dalmeny, Canada: Steele and Steele, 1989). See also http://www.tomatis.com/ Jim Robbins book, A Symphony in the Brain: The evolution of the new brainwave (New York: Atlantic Monthly Press, 2000) documents the reverse process whereby doctors are using an EEG to help the patient learn how to resonate their own brainwaves to cure disease.

203 Meyer, Music, the Arts and Ideas, p. 81.

204 Lu K'uan Yü, Taoist Yoga, p. 5. Immortality itself is still limited since "immortality and mortality are the two extremes of a duality which has no room in the absolute state...the illusion of space and time...." Lu K'uan Yü, The Secrets of Chinese Meditation, p. 212.

205 Olson, Eight Brocades: Seated Ch'i-kung, pp. 20-21. Master Lin points out the direct correlation between breathing rate and life span, comparing the breathing rate of dogs and humans to turtles. Some qi gong techniques teach how to breathe like turtles that live to be many hundreds of years old. Master Chunyi Lin, "Spring Forest Qi Gong Level I" lecture for Anoka County Community College continuing education at Park Nicollet Medical Center, St. Louis Park, MN, 4-30-2000.

206 Ibid, p. 67.

207 Beaulieu, Music and Sound in the Healing Arts, p. 92.

208 See Chün-fang Yü, Kuan-yin: The Chinese transformation of Avalokitesvara (NY: Columbia University Press, 2000).

209 Hai, Suma Ching. The Key of Immediate Enlightenment. Formosa, Republic of China: Suma Ching Hai International Association, 1996. http://www.GodsDirectContact.org/

210 Sri Vaishnavi Shrine (Madras, India: The Sanmarge Sangam, 1967) pp. 76-77.

211 All total phenomena, as analyzed by Taoist models (i.e. the theory of five energy processes, the Taoist eight triagrams of the Book of changes, feng shui) are derived from the same basic harmony principles. See also "Sagely Wisdom and Social Harmony: The Utopian Dimension of the Tao Te Ching." Utopian Studies 1 (1990): 123-43. I will later give examples of works that implement resonating open systems theory for political economy. Instead of discussing them at length, since others have already done so, my focus is to clarify the foundational knowledge system for those theories, giving them universal validity and a stronger impact by adding a greater understanding of the basis for necessary deep structural change.

212 Chia, Awaken Healing, p. 261, p. 62. Taoist compassion, like Pythagorean universal love, or the golden rule, is modeled by universal proportional reciprocity.

213 Ilya Prigogine, Order Out of Chaos: Man's New Dialogue with Nature (NY: Bantam Books, 1984).