måndag 6 maj 2013

Piano Tuning and Black Body Radiation

The theory of blackbody radiation based on near resonance under finite precision computation presented on Computational Black Body Radiation, has an acoustic analog as a theory analyzing the interaction between strings and soundboard of a piano.

I recently had my piano tuned and noticed the following experimental support of the theory:

The tones with frequency higher than 207 Hz are generated by three nearly equally tuned strings, those between 130 and 207 Hz by two strings and those below 130 Hz by only one string.

An expert piano tuner deliberately offsets the tuning in the case of two or three strings with (depending on taste) 0.1 - 0.2 Hz in order to get a desired sustain (which is relatively short).

An amateur however may not by ear do better then 1 Hz, which results in a too long "singing" sustain characteristic of an old mistuned piano.

There seems to be a direct connection from this experience to the aspect of near-resonance in my theory of black body radiation.  

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