rdelmonico
01-11-2014, 05:37 AM
The frequencies can be debated because they are arbitrary, the ratios however are not!
A possible source of fundamental frequencies might be brain waves, or atomic/molecular vibration, or even the natural frequency of DNA molecules.
from: http://ezinearticles.com/?Are-Certain-Frequencies-Encoded-in-the-Bible-in-the-Book-of-Numbers?&id=1490087
Nicola Tesla, the unsung genius and father of most of our modern day conveniences, said, "If you want to know the secrets of the universe, think in terms of energy, frequency, and vibration." He also said, "If you only knew the magnificence of the 3, 6, and 9, you would have the key to the universe." John Keely also wrote about the power of the vibrations of the thirds, sixths, and ninths.
According to the revelation received by Dr. Joseph Puleo, the numbers he discovered (396, 417, 528, 639, 741, 852) are frequencies. This makes sense because everything is energy, and energy is a vibration, and a vibration has a frequency. Even the printing on this page is a frequency. In other words, there is nothing that is not a frequency.
With an understanding now of the significance of the numbers 3, 6, and 9, we can perform some simple calculations on these numbers and achieve surprising results. When using the Pythagorean method of single digit reduction, each of these numbers can be reduced to either a 3, 6, or 9. For example, 396=3+9+6=18=1+8=9; 417=4+1+7=12=1+2=3; 528=5+2+8=15=1+5=6, and so forth.
Another interesting calculation is determining the difference between each number. The difference yields either 21, 102, or 111. Again, using the Pythagorean method, these numbers all reduce to 3. An amazing calculation is done by multiplying these numbers by any number and then reducing it to a single digit. The result is, again, either 3, 6, or 9.
Article Source: http://EzineArticles.com/1490087
ALSO:
Here is a quick synopsis of how the frequencies were deciphered. In the Bible, in the book of Numbers, chapter 7, verse 12, we find a reference to the first day. Moving down 6 verses, to verse 18, we find a reference to the second day, continuing down six more verses, to verse 24, we find a reference to the third day, and so forth until the final reference in verse 78 which is speaking of the twelfth day. What these verses have in common is a reference to a similar idea.
To arrive at the first frequency the actual verse numbers are added using the Pythagorean method of reducing a number to a single digit. Thus, Verse 12 is 1+2=3, verse 18 is 1+8=9, verse 24 is 2+4=6, verse 30 is 3+0=3, verse 36 is 3+6=9, verse 42 is 4+2=6, etc. until verse 78. The pattern here is 396, 396, 396, etc. This is the first frequency.
The next frequency is found by looking at verse 13 which is speaking of an offering. Six verses down, which is verse 19, the same offering or idea is repeated, six verses down at verse 25 there is another repeat, etc. Thus, by using the Pythagorean method of reduction, again we find a pattern developed. This pattern is 417, 417, 417, etc. Now we have the second frequency. The remaining frequencies are arrived at in the same manner. When all is complete the frequencies are 396, 417, 528, 639, 741, and 852.
Article Source: http://EzineArticles.com/1490087
We would need a standard time interval for any frequency to be completely relevant, say the vibration of an atom or molecule at a particular temperature.
from: http://www.ccl.net/cca/documents/dyoung/topics-orig/vib.html
The simplest description of a vibration is a harmonic oscillator which describes springs exactly and pendulums with small amplitudes fairly well. A harmonic oscillator is defined by the potential energy being proportional to the square of the distance displaced from an equilibrium position. In a classical treatment of a vibrating object, the motion is fastest at the equilibrium position and comes to a complete stop for an instant at the turning points, where all of the energy is potential energy. The probability of finding the object is highest at the turning point and lowest at the equilibrium point.
A quantum mechanical description of a harmonic oscillator uses the same potential energy function, but gives radically different results. In a quantum description, there are no turning points. There is some probability of finding the object at any displacement, but that probability becomes very small (decreasing exponentially) at large distances. The energy is quantized, with a quantum number describing each possible energy state and only certain energies possible. Very small objects, such as atomic particles behave according to the quantum description with low quantum numbers. Macroscopic objects under a quantum description will have very large quantum numbers with energy spacings that are too close together to measure and a probability distribution that becomes identical to the classical result in the limit of infinite quantum numbers. The fact that classical mechanics is a special case of quantum mechanics for large masses is called the "correspondence principle".
The vibration of molecules is best described using a quantum mechanical approach. Molecules do not behave according to a harmonic oscillator description. Bond stretching is better described by a Morse potential and conformational changes have a sine wave type behavior. However, the harmonic oscillator description is used as an approximate treatment for low vibrational quantum numbers.
The quantum mechanics equation (called the Schrodinger equation) has never been solved exactly for any chemical system containing more than one electron. However, many ways are known to approximate the solution. Approximation methods known as ab initio methods use mathematical approximations only. Frequencies computed with ab initio methods and a quantum harmonic oscillator approximation tend to be 10% too high (due to the difference between a harmonic potential and the true potential) except for the very low frequencies (below about 200 wave numbers) which are often quite far from the experimental values. Many studies are done using ab initio methods and multiplying the resulting frequencies by about 0.9 to get a good estimate of the experimental results.
A possible source of fundamental frequencies might be brain waves, or atomic/molecular vibration, or even the natural frequency of DNA molecules.
from: http://ezinearticles.com/?Are-Certain-Frequencies-Encoded-in-the-Bible-in-the-Book-of-Numbers?&id=1490087
Nicola Tesla, the unsung genius and father of most of our modern day conveniences, said, "If you want to know the secrets of the universe, think in terms of energy, frequency, and vibration." He also said, "If you only knew the magnificence of the 3, 6, and 9, you would have the key to the universe." John Keely also wrote about the power of the vibrations of the thirds, sixths, and ninths.
According to the revelation received by Dr. Joseph Puleo, the numbers he discovered (396, 417, 528, 639, 741, 852) are frequencies. This makes sense because everything is energy, and energy is a vibration, and a vibration has a frequency. Even the printing on this page is a frequency. In other words, there is nothing that is not a frequency.
With an understanding now of the significance of the numbers 3, 6, and 9, we can perform some simple calculations on these numbers and achieve surprising results. When using the Pythagorean method of single digit reduction, each of these numbers can be reduced to either a 3, 6, or 9. For example, 396=3+9+6=18=1+8=9; 417=4+1+7=12=1+2=3; 528=5+2+8=15=1+5=6, and so forth.
Another interesting calculation is determining the difference between each number. The difference yields either 21, 102, or 111. Again, using the Pythagorean method, these numbers all reduce to 3. An amazing calculation is done by multiplying these numbers by any number and then reducing it to a single digit. The result is, again, either 3, 6, or 9.
Article Source: http://EzineArticles.com/1490087
ALSO:
Here is a quick synopsis of how the frequencies were deciphered. In the Bible, in the book of Numbers, chapter 7, verse 12, we find a reference to the first day. Moving down 6 verses, to verse 18, we find a reference to the second day, continuing down six more verses, to verse 24, we find a reference to the third day, and so forth until the final reference in verse 78 which is speaking of the twelfth day. What these verses have in common is a reference to a similar idea.
To arrive at the first frequency the actual verse numbers are added using the Pythagorean method of reducing a number to a single digit. Thus, Verse 12 is 1+2=3, verse 18 is 1+8=9, verse 24 is 2+4=6, verse 30 is 3+0=3, verse 36 is 3+6=9, verse 42 is 4+2=6, etc. until verse 78. The pattern here is 396, 396, 396, etc. This is the first frequency.
The next frequency is found by looking at verse 13 which is speaking of an offering. Six verses down, which is verse 19, the same offering or idea is repeated, six verses down at verse 25 there is another repeat, etc. Thus, by using the Pythagorean method of reduction, again we find a pattern developed. This pattern is 417, 417, 417, etc. Now we have the second frequency. The remaining frequencies are arrived at in the same manner. When all is complete the frequencies are 396, 417, 528, 639, 741, and 852.
Article Source: http://EzineArticles.com/1490087
We would need a standard time interval for any frequency to be completely relevant, say the vibration of an atom or molecule at a particular temperature.
from: http://www.ccl.net/cca/documents/dyoung/topics-orig/vib.html
The simplest description of a vibration is a harmonic oscillator which describes springs exactly and pendulums with small amplitudes fairly well. A harmonic oscillator is defined by the potential energy being proportional to the square of the distance displaced from an equilibrium position. In a classical treatment of a vibrating object, the motion is fastest at the equilibrium position and comes to a complete stop for an instant at the turning points, where all of the energy is potential energy. The probability of finding the object is highest at the turning point and lowest at the equilibrium point.
A quantum mechanical description of a harmonic oscillator uses the same potential energy function, but gives radically different results. In a quantum description, there are no turning points. There is some probability of finding the object at any displacement, but that probability becomes very small (decreasing exponentially) at large distances. The energy is quantized, with a quantum number describing each possible energy state and only certain energies possible. Very small objects, such as atomic particles behave according to the quantum description with low quantum numbers. Macroscopic objects under a quantum description will have very large quantum numbers with energy spacings that are too close together to measure and a probability distribution that becomes identical to the classical result in the limit of infinite quantum numbers. The fact that classical mechanics is a special case of quantum mechanics for large masses is called the "correspondence principle".
The vibration of molecules is best described using a quantum mechanical approach. Molecules do not behave according to a harmonic oscillator description. Bond stretching is better described by a Morse potential and conformational changes have a sine wave type behavior. However, the harmonic oscillator description is used as an approximate treatment for low vibrational quantum numbers.
The quantum mechanics equation (called the Schrodinger equation) has never been solved exactly for any chemical system containing more than one electron. However, many ways are known to approximate the solution. Approximation methods known as ab initio methods use mathematical approximations only. Frequencies computed with ab initio methods and a quantum harmonic oscillator approximation tend to be 10% too high (due to the difference between a harmonic potential and the true potential) except for the very low frequencies (below about 200 wave numbers) which are often quite far from the experimental values. Many studies are done using ab initio methods and multiplying the resulting frequencies by about 0.9 to get a good estimate of the experimental results.