It’s Impossible to Perfectly Tune a Piano

I always thought that pianos were always just quicker to go out of tune than other instruments.  That may be true, but it’s likely because they were never perfectly in tune in the first place.

BADGING:  You’ll probably want some familiarity with playing a musical instrument to tackle this badge challenge.  Watch the video above.  Write a paragraph that explains the ratios of harmonics and how they are used to properly tune smaller stringed instruments, like a guitar or a violin.  Why doesn’t that technique work for a piano?  What does the Rational Root Theorem say and how does it apply to the idea of octaves?  Write a second paragraph explaining how “Equal Tempered Tuning” achieves a perfect octave in pianos and digital instruments.  What kind of shortcomings does Equal Tempered Tuning have?

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