Hey there fellow physicists & musicians!
I have a question both physics and music related.
How does the string tension affect the sound spectrum? More precisely, how do the respective amplitudes of the nodes (fundamental vs harmonics) change with string tension, like a population distribution?
Imagine a vibrating string with different lengths and tensions, yet with the same frequency (i.e. a long vs short neck guitar tuned the same).
From my feeling the sound shifts towards higher frequencies for more tense string, appears somewhat more compact mid-focused, while more loose strings sound a lot bassier (at the same frequency). Of course intrument, wood, etc. do have effects but I was looking for a more fundamental approach.