Is there a ‘mathematical’ reason that the music notes in chords ‘work’ together?

Question

I recently learned that the wavelength of a note is half that of the same note one octave lower. Do the wavelengths of the notes in a chord have some sort of similarities? Is there another reason that the notes sound good together?

In: 21

Answer 1

Speaking of reason – no, there is no mathematical reason and can not be. Mathematical formulas can not be a reason for anything outside math. There is a physiological/psychological reason that some sound frequencies ‘work’ together and some do not. Mathematics, however, can help us to calculate these frequencies. Usually they are in fraction 5:4 or 3:2 one to another.