Why can we hum / sing a melody, when the original has chords?

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When humming a melody from, for example, a piano piece. It doesn’t have one single note, but several playing at the same time. Why can I hum a melody that sounds like the piece?

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A chord is made up of several notes played together, but it has a ‘root’ note, the note the chord is named for, depending on the key the song is in.
Typically, when humming or singing, we find the root note, or at least one of the commonly recognizable notes for a given chord.

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