Notes sound better together when they have small-numbered integer ratios between them… mostly.
An octave is 2f
A perfect fifth is 3/2f
A major third is 5/4f
A minor third is 6/5f
Where f is the fundamental frequency (the root of the chord).
This would be exact in a Pythagorean scale, but in an even-tempered scale, they are approximations.
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