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During the first of the two decades involving this research, a great deal of consideration had to be given to the possibility of physically adjoining the modes to one another in a specific way which would lead to an understanding of the workings of modulation. When looking at the vertical dimension of each of the spectrums side-by-side, as shown below, we can see physical evidence of an underlying harmonization; then auditory perception of these harmonies concurred that the spectrums should be aligned in this manner. This graph is called the 'Cross Section' and is presented here with four spectrums omitted. |
Figure 3.1 : Cross Section; the Spectrums Joined Via The Reflective Dimension
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The eventual realization was that the ends of the spectrums, rather than the centers, had to be aligned with one another, and since there are two extreme ends, they would have to be aligned twice, as polar opposites, as shown in the above Figure. The process used next to translate the 'Cross Section' into the 'Modary Map' will be explained in future updates. Each Spectrum is rendered into the Modary Map by the same process. So all modes are being treated equally by the system. |
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