I'm not sure any of the solutions would be turnkey enough with no software background.
Although I find all the posts here offer valuable ideas, I believe what
@scott wurcer says may be correct. Along an artificial 1-D continuum scale of: programmer <-> user
I think the ideas offered are better suited toward the programmer half of the scale than the user end.
I think
@pozz indicates that (I paraphrased in
italics):
I'd like to learn how to use this tool, how to run scripts, import/generate audio and analyze it.
I want to calculate (something)(for which there's code) [snip]...
I'd also like to use (existing tools), (so) I can test (stuff, beyond what I can do with) ears, meters and spectrum analyzers.
I hope it will be enough to do the enthusiast thing by using ready-made tools and looking up sources as I need.
@pozz If you already have some MATLAB code to do what you want, I (and others) can help you to get it going. Or if
@scott wurcer has what you need in python, perhaps he can help. I (and others) may also be able to help you with the other stuff you want to do, when the need/desire arises.
I do not want to discourage or turn you away from learning to code yourself! It may well be that's the best path for you. It was for me! You will gain a lot of independence and get exactly what you want, not having to settle for what others have done. But if you've never programmed, it may be a bigger task than you think.
If you do want to take this path, I'll give you yet another $0.02 opinion on the python/jupyter/scipy vs. MATLAB vs. GNU Octave choice later. One question: if you'll use this for work, is the $5k or so for MATLAB plus a couple toolboxes (e.g. signal processing &audio) an issue? There are academic and home versions for much less, if appropriate.... and then there's free stuff.
Also,
The only other big obstacle is understanding the details of the underlying calculations, which even now is non-trivial and parts will definitely be beyond my current abilities...
I might be able to help here too, but understanding your goal along a different artificial continuum: verbal/conceptual <-> mathematically complete
would help.