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Why does an octave sound the same but higher?

The Note's Twin
Why does an octave sound the same but higher?
You sit at a piano and press **middle C**. Clear, bright. Then you press another C up high. Same note name, but somehow

You sit at a piano and press middle C. Clear, bright. Then you press another C up high. Same note name, but somehow it feels like the SAME note, just... taller. How does your ear do that trick?

Sound is a wave — air molecules pushing and pulling in a rhythm. When a string vibrates fast, it shoves air fast, and you hear a high note. Slower vibrations make lower notes. Middle C vibrates 261 times per second. The higher C? Exactly 522 times per second. Double the speed.

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