A major scale and a major triad are built with a major third above the tonic, and a minor scale and a minor triad are built with a minor third, one semitone lower. That interval difference is the musical fact, and the habit of hearing major as happy and minor as sad is a later association, not a property sitting inside the ratio. The opening covers the third is the structural difference, three minors, not one mood, and dances exist in minor keys.
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