The Synergetic Temperament System

Kenneth Hemmerick

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first frequency-edge module of sound based on the cubo-octahedron or vector equilibrium.

Tonal space enclosed by a first frequency-edged module sound where the innermost point of the sphere defines the nuclear source of the sound and its location in space. Outer (gray) spheres define the frequency of the sound. All radii (broken lines) are of equal value and all spheres are of the same dimension. This diagram represents a first frequency-edge module sound as there is only one shell of layer of closest-packed spheres.

The Synergetic Coordination of Sound

The coordination of sound within and without the synergetic temperament system is in terms of the realization of the 3-dimensional characteristic of tonal space and sound. Regardless of the position in tonal space, the configuration structured through the closest-packing of spheres around a central sphere of the same magnitude can be formed creating shells of spheres, lying equidistantly-spaced one within and without another, with each shell being of specific frequency or layer.

The synergetic temperament system is conceived as being a system of shells of varying progressive excitation with a state of least excitation found at its innermost core, and a state of greatest excitation found at the outer-most or highest frequency.

Sound is a longitudinal vibration which when stimulates the auditory nerves produces the sensation of hearing. Sound is propagated through the environment in the manner of a pulsating sphere. The integrity of a sphere is such that it divides space into the space outside the sphere, the sphere itself, and the space within the sphere. A sphere is a geometric figure in which all radii are of equal value, thereby causing it to be dynamically in a state of equilibrium.

The movement or vibration of a pulsating sphere is through an alternating series of expansions and contractions. The expansive force within a pulsating sphere radiates from a source found at the sphere's nuclear point. This force is dynamically opposed by a compressive force found outside the sphere, which gravitates towards the sphere's nuclear core.

The omni-directional expansion of a pulsating sphere is caused by the radiational force within it. The sphere will continue to expand until the gravitational force outside of it becomes too great for its radiation. At this point, the sphere will progressively contract towards its innermost or nuclear core until the radiational force within the sphere becomes too great for its gravitation, thus causing the sphere to expand once again.

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© 2006 Kenneth Hemmerick