#### Part 2

The difference between linear and logarithmic subdivision is that in the latter the proportion and subsequent subdivisions are exponential. How does this then apply to the frequency range covered by light and sound? As our music example has shown, linear and logarithmic subdivision can be simultaneously occurring. But it is the logarithmic that is particularly revealing in allowing us to see the relationship light has to sound in the *Theory of Harmonic Creation* (3). It occurs through harmonic evolution. Given a highest value for light, a value “x” can be found such that the sequence 1, x, x^{2}, x^{3}, x^{4} is satisfied, with x^{4} equivalent to that highest value. 1 is included since we want to subdivide into four ranges the complete electromagnetic spectrum, which, for our purposes, 1 Hz to x^{4} Hz will satisfy. The ranges are 1 to x, x to x^{2}, x^{2} to x^{3}, and x^{3} to x^{4}. This sequence itself follows from the previous equation for the specific case where the Fundamental and the base are the same; x is the common value. By the laws of exponents: f_{(n)}=x^{(n-1)}x^{(1)}=x^{(n-1+1)}=x^{(n)}. Now, “n” specifies the number of the range; x^{(n-1)} determines the proportion between any two frequencies. F, the first frequenecy range, is x^{(1)}. Mathematically, each range *ends* at the n^{th} value of x. The first four values of n (1, 2, 3, 4) will establish the frequency ranges of **The Four Pathways**. For simplicity, if we allow a maximum value of 10^{24} Hz for electromagnetic radiation, that sequence is 1, 10^{6}, 10^{12}, 10^{18}, 10^{24} Hz. x=10^{6}. Establishing its value was easily done by observation, which may be a reflection of the simplicity of this fundamental truth to light itself. (“Quadrality and the Hidden Mesages in Water” dramatically reveals how Nature upholds the power of the Sixth Harmonic.) Logarithmic solutions would allow this process to be applied to divide any frequency range into four or whatever number of harmonically related ranges.

Still, how is this subdivision relevant to sound, with its highest humanly audible frequency being around 20,000 Hz? In the above sequence it is a small portion of the low end of the first range. The relevance occurs through the *Process of Further Levels* (4), which provides for additional logarithmic subdivisions until you arrive at the one containing only the octaves of our piano. And since the *Principle of Further Levels* mandates that each level exists in the context of all those before, a correspondence between the frequencies of light and sound exists. This is in the same way that each “A” on our piano could be considered the pitch “A” and yet be a different frequency. There are "A"s throughout the electromagnetic spectrum. So, even the highest light frequencies can be “translated” into sound, which, as we’ll later see, has significant repercussions.

That answers energy having four frequency ranges. But can’t there be three or five, as previously queried? Absolutely! And the harmonic evolution of prime numbers (5) allows that to occur to infinity! But four is important because it is the lowest harmonic subdivision that can provide for the tangible Universe to exist (6). And this is a truth so significant that it has been represented in the teachings of some of the most revered and respected religious founders and scientific leaders to have ever blessed this planet with their presence.

#### Next: IN RELIGION, Part 1

(3) The *Theory of Harmonic Creation* is foundational to *Quadrality*, the governing system for the integration of Religion and Science in “The Totality Of God.” The theory provides the harmonic framework, rooted in four fundamental frequencies of universal oscillation, for the existence and evolution of the Universe and all within it. For a comprehensive introduction to the theory, see “Theory of Harmonic Creation.” The origin and essential elements of its governing system are covered in “Summary of the System of Quadrality.”

(4) The *Process of Further Levels* is the manner whereby the number of subdivisions within a range of values, considered the *source harmonic* for that level, evolves to the next harmonic level through the application of a *harmonic multiplier*. For frequencies to evolve between octaves in light and sound, that *harmonic multiplier* is 2. Its application is detailed in the article “Process of Further Levels.”

(5) See “Evolution of Prime Numbers in Harmonic Creation.”

(6) A deeper understanding of *Harmonic Creation* and the *System of Quadrality* is needed to grasp the scientific truth in this statement. Essentially, neither two nor three, the only subdivisions lesser than four, can simultaneously allow for the separation and the interaction of two ranges. It occurs through their Means values, since the Extremes values always establish separation, and is possible through the *Principle of Behavioral Reversal*, further explored in Footnote 7.