The Synergetic Temperament System

Kenneth Hemmerick

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Within the structure of a 2-dimensional wave formation it is possible to have the interval of the octave as the number of nodes outside of the innermost node a always of even value. However, in the structure of a 3-dimensional wave formation, while frequency-edged modulation can be doubled, the number of nodes found in the outer-shells do not correspond to this form of behavior. On explanation for this phenomenon can be expressed in terms of synergy, which is the behavior of a whole system, which is unpredicted by the sum of its parts.

Fig. 12

A B C D E
1 12 2 42 30
2 42 4 162 120
3 92 6 362 270
4 162 8 642 480
5 252 10 1002 750
6 362 12 1442 1080
7 492 14 1962 1470
8 642 16 2562 1920
9 812 18 3242 2430
10 1002 20 4002 3000
11 1212 22 4842 3630
12 1442 24 5762 4320

A - Number of frequency-edged modulation of a 3-d wave formation
B - Number of points found in the outer-shell of (A)
C - Frequency-edged modulation which is twice (A)
D - Number of points found in the outer-shells of (C)
E - Difference in the number of nodes found between (A) and (C)

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