With a final objective that diverges from this, i.e., building a mega drone out of a video, I ended up sampling my cat to play around with a Python library called osc_gen, which is made to craft wavetables. After a few modifications, I took the direction of playing around with the visualization class helper they provide and added this rotating 3D wireframe.
Spinning the wireframe made of the aggregation of the 32 waves of 128 points representing what my cat could sound like.
Another nice objective was to be able to use the wavetable in a music production software like Ableton. The only thing to know was that Ableton needs 1024-point cycles. Then, split the generated wav to build the different cycles, and it can perform interpolation on top of that or keep the user table as is.
Few lines of code to generate rich wavetables readable in modern DAWs such as Ableton 11.