Combination tone - the sound of ghost - hearing the non existence

When you play two tones in different frequencies, there is always a combination tone, a faint tone produced in the inner ear by two simultaneously sounded musical tones. It is more audible in higher volume and pitches. 

Here is a pure data demo. Try to sing the third tone when you hear two tones in the beginning.

Can you sing the third tone before it is played?

The third tone is the different tones of the playing frequencies. In the demo, 1000-800=200. So you can "hear" and sing the 200Hz tone. But it is not played in real-life since the interference makes you hear it👻. 

Interference of two soundwaves

For more info, you may look into the page of combination tone in Britannica.

To explore this phenomenon further, we now have three tones playing at the same time 1000, 800, and 600 Hz. Both combination tones are 1000-800=200Hz and 800-600=200 Hz. Our brain can work backwards to generate the fundamental and the harmonic series. (f, 2f, 3f, 4f, 5f,...) The fundamental is 200Hz. The second harmonic is 2f = 400 Hz also the combination tone of 1000-600. These are the ones that have been playing 3f is 600Hz, 4f is 800Hz, 5f is 1000Hz. Try to sing the fundamental.



Let's put it into practice, the haunting sound is very useful for coloring the music or tone painting. This is an actual application from my work, At Night for tenor and piano. The tenor sings the result of the combination of the piano. The timbre, and text painting the nighttime haunting atmosphere of the poem.
At Night for tenor and piano



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