>Yet, modern science still can't measure the harmoniousness of a song at a given point or overall -- we have neither the theory nor the math to do so. It is an active area of scientific research! I find that so cool.
What about consonance and dissonance? We have both the math and the music theory for those. Wouldn't that be a measure of harmoniousness?
It's complicated. We can calculate the dissonance (e.g., harmonic entropy) for specific note combinations, but even the best models of consonance and dissonance don't correspond perfectly with human ratings -- nor can be applied to complex sounds.
There isn't a meter capable of showing how consonant or dissonant a song is, at any point in time -- or for the song as a whole.
What about consonance and dissonance? We have both the math and the music theory for those. Wouldn't that be a measure of harmoniousness?