It is generally accepted that certain intervals in music sound "harmonious", i.e

It is generally accepted that certain intervals in music sound "harmonious", i.e

It is generally accepted that certain intervals in music sound "harmonious", i.e. 3rds, 4ths and 5ths. Why is this so? Why do these certain intervals constitute a pleasant sounding harmony, as opposed to jarring, dissonant intervals like 2nds and 7ths? I do not believe it is a matter of taste - most people, even those with no musical training will uniformly identify a harmony as harmonious (or in tune) or dissonant (or out of tune, I suppose). However, I am open to being disproved on this point.

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