It’s been known since Pythagoras that harmonic relationships between musical notes can be expressed as whole number ratios.
Ie: if you play a note on an open string, and then halve the length of that string, the two notes are related in a harmonious way (same note, one octave higher) – a harmonic.
If you third the string, you also get a harmonic note.
If you divide the string by a little bit more thn a half, or a bit less, the note is dissonant and jarring to the ear.
Now this may be a chicken or egg question but is the dissonance we experience when we hear an off note like this something biologically ingrained into our brains – the sort of way we find phi relationships pleasing or beautiful.. Or is it simply we’re used to working with whole number ratios in our system of music, and we’re just used to listening to music made up of these pleasing relationships?
Is there a biological explanation?