The Synergetic Temperament System

Kenneth Hemmerick

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Thus, the octaval relationship is not present within the structure of the synergetic temperament system as the behavior of the nodes in the outer-shells of its various frequency-edged modulations progress synergetically thereby contradicting conventionally assumed values determined through the observation of a 2-dimensional wave formation. The whole system is unpredicted by the sum of its parts.

The synergetic temperament system is conceived in terms of being an integrated network of sound without the fundamental interval of the octave. While in general, most systems of temperament have used this interval as the basis of their structure, the synergetic temperament system finds the synergetic progression of equidistantly spaced pulsating spheres, lying within and without another with a common nuclear core at its innermost point, to be fundamentally void of this relationship.

200.1 Synergetics promulgates a system of mensuration employing 60-degree vectorial coordination comprehensive to both arithmetic and geometry, in rational whole numbers.

200.02 Synergetics originates in the assumption that dimension must be physical; that conceptuality is metaphysical and independent of size; and that a triangle is a triangle independent of size.

200.03 Since physical Universe is entirely energetic, all dimension must be energetic. Synergetics is energetic geometry since it identifies energy with number. Energetic geometry employs 60-degree coordination because that is nature's was to closest-pack spheres.

200.04 Synergetics provides geometrical conceptuality in respect to energy quanta. In synergetics, the energy as mass is constant, and nonlimit frequency is variable. 200.05 Vectors and tensors constitute all elementary definitions.

The synergetic temperament system employs a system of measurement of the pulsating spheres within its structure through the use of a 60-degree vectorial coordination in whole rational numbers. It identifies the individual shells of spheres in terms of an energetic number; the number if nodal points in outer-shells. The closest-packing of spheres produces shells of spheres lying, equidistantly spaced, one within and without another, with a common nuclear core found at the system's innermost point. The synergetic temperament system employs 60-degree vectorial coordination because that is nature's way to closest-pack spheres.

It is possible that the series of colour frequencies does not show any duplication because it uses the 60-degree vectorial coordination as describes in the Energetic Synergetic geometry of R, Buckminster Fuller. Fuller describes this geometry in terms of being 'The Coordinate System of Nature.' It is possible, that in using this coordinate system in music through the medium of temperament, the synergetic temperament system defines a holistic progression of frequency-determined sound in terms of Nature's design and behavior.

At the present moment, the effect of such a progression of sound in terms of human physiology and psychology is not known. In the past, music theorists have not dealt with the problems of temperament from outside of the constraints of the octave. Therefore, the possibilities of such a manifestation is also not known.

The question of whether or not the synergetic temperament system is a valid medium of expression will only be determined in terms of the impression it creates. Time and extensive experimentation will be the judge. However, it is of the author's intuitive belief that the synergetic temperament system, in employing a 3-dimensional wave formation to describe the spherical propagation of sound, in the design of the vector equilibrium, as the basis of its structure, follows the laws of nature as predicted by nature, not by man. If this is true, then the expression and impression of an idea, emotion or integrity transmitted within this medium will be of great potential.

1 Fuller, Buckminster and Marks, Robert, "The Dymaxion World of Buckminster Fuller" Doubleday Anchor, AO-35, page 46.
2Meller James, Buckminster Fuller Reader, The, Pelican Book, 1973, Pg. 385
3Fuller, Buckminster, and Marks, Robert, "The Dymaxion World of Buckminster Fuller, Doubleday Anchor AO-35, pgs 46-47.
4Ibid. page 47.
5Apel Willi, Harvard Dictionary of Music, Second Edition, Revised and Enlarged, Belknap, Harvard, pg. 589.
6Fuller, R. Buckminster, Synergetics: Explorations in the Geometry of thinking, Macmillan Publishing, 1978 pg.3.
7Ibid. pg. 22.

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