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==Harmonics==

*Pythagoras lived on the Greek island of Samos from 560-480 BC. He is credited with the invention of the monochord and the discovery of the harmonic ratios in sound. Pythagoras said "study the monochord and you will know the secrets of the universe". The monochord is a long wooden box with one long string attached to two raised pieces of wood to permit it to vibrate. When the string is plucked it produces a sound that is called the fundamental tone of the string. Using a wooden bridge we can divide the string in two. When either half of the now divided string is plucked it will produce the same note as the fundamental except it will be an octave (eight notes) higher, since it is vibrating twice as fast as the vibration of the fundamental. If the string were divided equally into three, the note produced would be different from the fundamental note. If the fundamental note was 'C' the note produced would be 'G', an octave above the fundamental note. If the string were divided equally into four the note produced would be a 'C', the same note as the fundamental note but two octaves higher. Pythagoras found that whenever the whole string was plucked, higher sounds would be created at the same time as the fundamental note. These higher sounds or 'harmonics' were mathematically related in frequency to the fundamental note through whole number ratios of 2:1, 3:1, 4:1. These harmonics were related to each other in ratios of 2:3, 4:3, 5:8. Pythagoras discovered that these ratios were found in the proportions used in art and architecture.Pythagoras saw the universe as a giant monochord, an instrument that stretched between heaven and earth. The higher sounds were those of pure spirit and the lower ones were those of the earth. Pythagoras found the harmonic intervals in all phenomena in nature, the elements, the planets and constellations. In the 1920's a German scientist called Hans Kayser developed a theory of harmonics based on Pythagoras's work. Kayser states that the whole number ratios of musical harmonics are found in the basic laws of chemistry, physics, crystallography, astronomy, architecture, spectroanalysis, botany and other natural sciences. <span class="plainlinks">[http://www.youtube.com/watch?v=rKq-uyxFT98 Example : Wolfram Wieser - Obertongesang, Monochord ]</span>

* Did you know that simply listening to a single musical note that vibrates at 528 Hz has been shown to repair your DNA? All music that we’re familiar with consists of notes from the 12-Tone Equal Temperament Scale. Each individual note has vibrational limits. However, there is an ancient 6-tone scale of electro-magnetic frequencies called the original Solfeggio Scale. This scale, which was lost for centuries and was just recently rediscovered accidentally by Dr. Joseph Puleo, is said to hold unlimited potential in healing and personal transformation. One of the notes on the Solfeggio Scale, particularly the one that vibrates at 528 Hz has been used by biochemists to repair human DNA. The frequency of 528 Hz appears to influence the water molecules that surround the DNA helix, thereby bringing about healing effects on DNA. Perhaps the leading proponent of the miraculous healing power of the 528 Hz Solfeggio note is Dr. Leonard Horowitz, world famous author of 15 health science books, and Harvard graduated public health expert. According to Dr. Horowitz, all healing occurs from sonic waves or vibrations, specific frequencies of sound, resonating throughout the universe. He claims that human cells use DNA, like radios use antennae, to receive the note vibrations and attune the body’s rhythm to that of the cosmos. He refers to the 528 Hz Solfeggio note as “the frequency of love” which, in addition to providing health benefits, opens the portals to spiritual transformation. This is echoed by Dr. Candice Pert, PhD, who states that energy and vibration go all the way to the molecular level. She further states that we have 70 different receptors on the molecules — and when vibration and frequency reaches that far, they begin to vibrate. This vibration, which happens at the cellular level, opens the chromosomes and exposes the DNA to the frequencies. Experiments involving in vitro DNA exposed to different recordings of musical styles have been performed by Glen Rein of the Quantum Biology Research Lab in New York.Four styles of music for health, including Gregorian chants that use the Solfeggio scale, were converted to scalar audio waves and played via a CD player to test tubes containing in vitro DNA.The effects of the music were determined by measuring the DNA test tube samples’ absorption of UV light after an hour of exposure to the music. The absorption of UV light is regarded as a significant effect on DNA because when the DNA helix unwinds, it allows such absorption.The results of Glen Rein’s experiments showed that the Gregorian chants caused a significant increase in the absorption of UV light versus rock music, which had little or no effect.It was concluded that the audible sound waves of the Solfeggio scale can cause resonance in DNA and can, indeed, have profound healing effects. <span class="plainlinks">[http://www.youtube.com/watch?v=tZrBRQn6K0A Example : Solfeggio Harmonics - 528 HZ ]</span>

* Jonathan Goldman in his book 'Healing Sounds - The Power of Harmonics' says: - "When we have learned techniques for harmonic toning, the human voice is able to create nearly every frequency, at least within the bandwidth of audible frequency".