Something along those lines did eventually occur to me, in a vauge, half-formed way, when I started wondering which overtones added up to each of those two waveforms (and not expecting it to be as easy to find my trial-and-error (and guessing) as the y = sin(θ) + sin(2×θ+π/2) for the two-notes-on-one-string analysis from a couple months ago (http://dglenn.livejournal.com/919887.html) -- maybe FFT would have come to mind more quickly if I'd worked with Fourier transforms before instead of just reading about them once in a while. First step, I suppose, is 'man -k fourier ; man -k fft' to see whether I've already got tools to do the magic for me without my having to bother reading up on the math. :-)
Did you mean something like this? It turns out that Audacity does this, but I couldn't convince it to use the same vertical scaling for both plots, making it difficult to compose them together in GIMP. But there's an "export" button that generates a text file of values, and I've got GnuPlot, so ...
There were a bunch of options on the Audacity "analyze spectrum" dialogue that I'm really not sure I understand right, so I'm not sure what I got (pretty much the default) is the most useful version.)
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It turns out that Audacity does this, but I couldn't convince it to use the same vertical scaling for both plots, making it difficult to compose them together in GIMP. But there's an "export" button that generates a text file of values, and I've got GnuPlot, so ...
There were a bunch of options on the Audacity "analyze spectrum" dialogue that I'm really not sure I understand right, so I'm not sure what I got (pretty much the default) is the most useful version.)