Ah, but it is a scientific fact that when you play a chord on a correctly tuned piano , you will not be able to ring much in the way of overtones with much power. But with a group of trained musicians using their voices and ears, you can ring substantial tonic and dominant overtones with power – this is the measurement of harmonic perfection – the ringing of sympathetic vibrations across the medium of air is how our ear works. You can try it with two instruments – one such as a voice or reed instrument, the other a very sensitive instrument like a guitar. If you play one and a string on the guitar vibrates just from the air, you have demonstrated the harmonic sympathy of the instruments. With the perfect chords of a trained group of voices, you can produce overtones without any other instrument present other than the medium of the air itself – that is the empirical demonstration of the perfect instrument.
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