Law of Octaves Part 1

Hold on to your hat because this may blow your mind. It will either evoke the great "ah ha!" or it’s cousin, the common "what the fuck?".
As you apply your attention to fleshing out the most primary laws of the universe via experimentation and detailed record keeping you would do well to keep in mind the beloved t-shirt slogan of the 21st Century Pagan-

"As above so below."

Or otherwise stated: as within, so without.

The study of inner self and outer experience must be parallel. A fundamental law will have manifestations within both the microcosm and macrocosm alike. Mastery entails the comprehension of the principles of a law with such profundity that they may be discerned within any matrix. This could be seen as the focus of the "games" of the Qabalist.
The number of fundamental laws is limited in the same way that the number of primary colors is limited. What we will call the Law of Octaves is among these most elemental laws.

The Universe is composed of vibrations emanating from various sources advancing in a multifold of directions. These vibrations cross paths, collide, intensify, and diminish. A vibration is created when some force (such as a hurtled stone) overcomes the resistance of a given medium (such as the water of a pond).

While western thought asserts that vibrations are continuous, ascending or descending as the result of the applied force of an initial impulse, the Law of Octaves states that the force of an initial impulse, any initial impulse, acts asymmetrically, becoming alternately stronger and weaker, causing the developing vibration to demonstrate periods of acceleration and retardation.
These periods of acceleration and retardation are not equal to one another, one runs longer than the other. (The writer of this text is thankful for this phenomena, as said author is not yet mature enough to thoroughly appreciate periods of retardation.)
The lines of development of vibrations are divided into periods corresponding to the doubling or halving of the number of vibrations in a space of time. This period is what is called an Octave. Musically speaking, the diatonic major scale which you would recognize instantly if I began to sing to you thusly:

"DO, RE, ME, FA, SO, LA, TI, DO!"

is a measurement derived from this discontinuous increase from a given vibration to its higher counterpart, the doubling of vibrations that we call an Octave.