... the component intervals of the most widely used scales throughout history and across cultures are those with the greatest overall spectral similarity to a harmonic series.However, an initial cursory look suggests that this conclusion doesn't hold for many of the राग्s commonly employed in हिंदूस्तानी music. I submitted my initial opinion and other observations as comments on the paper [Kamath2009].
This post is a broader treatment based on those original comments.