Why is it so hard to sing in tune?

FRANK PESCI on why it is so hard to sing in tune: “Here’s a more drastic example: the ‘F’ below A4 vibrates at 349.228 Hz on our imaginary piano. The interval between this F and A4 is a Major Third. Just Intonation tells us that the ratio between the frequencies of these two pitches should be 5/4, or (349.228 Hz x 5)/4 = 436.536 Hz, which is significantly different from 440.000 Hz.”  This is one reason conductors stress the importance of getting away from the piano as much as possible.

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