The Synergetic Temperament System
The quantity of energy found within this pulsation gives sound its amplitude, but the repetitive fluctuation of the forces within this pulsation gives sound its frequency or pitch. Frequency is the number of complete cycles of expansions and contractions in unit time of a pulsating system or event.
Frequency, in short, is the measure of extreme modular subdivision development of a finite system. When the term "frequency" is used in physics, its meaning is taken in just such a sense. Since energy can be neither created nor destroyed, every local event in the universe involves a local energy investment articulated at some specific frequency. The frequency number is the relative number of repeat oscillations, which occur until the unit energy, assigned to that patterning is exhausted.¹
Frequency is equal to the number of vibrations per second. In terms of a 2-dimensional wave formation, one second is equal to a minimum of three nodes where the number of nodes within a frequency is equal to the frequency times two plus one.
Nodal points are regions in an interference pattern at which some characteristic of the wave motion, such as particle displacement, particle velocity or pressure amplitude has a minimum of zero value or zero excitation.
In a 2-dimensional wave formation, frequency is equal to the number of nodes in its structure minus one, divided by two.
A 2-dimensional wave formation is a description of a finite system or sounding event where there exists the possibility of two directions in which the energy can travel regardless of the frequency of the wave formation. The number of the frequency of a 2-dimensional wave formation is always equal to the number of directions in which the energy can flow, multiplied by the frequency's edged-modulation plus one.
The total number of nodal points in a 2-dimensional ware formation, minus one, divided by the number of directions in which the energy can travel gives the frequency number or relative number of repeat oscillations which occur until the energy assigned to that energy patterning is exhausted.
In whole number frequencies, the innermost node can be considered the node that gives the wave formation dynamic symmetry in as much as the behavior of the wave in a positive direction exactly balances that which is in a negative direction. The frequency of a 2-dimensional wave formation is equal to the number of directions in which the energy can flow, divided into the number of nodal points found outside of the innermost node.
Frequency-edged modulation of one second in a 2-dimensional wave formation is at least a minimum of three nodes. If the propagation of sound is described in a 3-dimensional manner in terms of wave formation, as to take into account the whole phenomenon of sound's omni-directional propagation, a minimum of 13 closest-packed nodal points are needed to describe frequency-edged modulation of one second.
© 2006 Kenneth Hemmerick