The second harmony of systems

In this analysis I am doing a second FFT against the FFT of a voice. The second analysis extracts resonant patterns in the frequencies that represent the underlying physical system. In this case it is a variable size resonant chamber. It is possible to extract attributes like lung capacity as well as the characteristic chamber properties of the speaker. In the case of molecules it would seem that it would be a clear set of lines that represent the harmonies of (n)h/2Π

It would seem that there are many other transforms that would imitate the underlying structure. It would seem that I could perform a type of reverse Navier-Stokes in the same way as a Fourier frequency domain analysis. It would also seem reasonable to assume that a transform should match the object data. A normal star, as well as a neutron star, would be a spherical resonant structure and it might be informative to look at the second Fourier of its output as an indicator.

This structure of OpenGL with Xwindows and Linux libraries has been very useful. It isn't necessary to do all the things from scratch each time I test a new method. The libraries available for Linux have improved dramatically over the years in speed, coverage, utility, documentation and ease of use, as well as integration.