If it is the correct subtle "inharmonisity" deliberately given to the best Steiway piano to sound correct to our brain then it is not.
An octave slightly less than x2 in frequency sounds horrible.
An octave x2 in frequency sounds bad to semi acceptable if one has affinity with robots.
An octave x2.02 in frequency may sound great or bad depending on how high the notes are. High notes need larger ratios? It is very easy to find out by playing with an online sine wave geanrator.
The title of this post is wrong.
Who cares about frequency? Well we all care but it is not frequency that our brain measures!
Frequency measured in Hz is what a measuring equipment measures.
Pitch measured in Mels is what our brain feels.
The best "inharmonisity" is the one that gives the right pitch to our brain.
This is Harmony.
References:
Sound and Hearing - Stevens, Warshofsky, Time Life science series
Hearing its Psychology and Physiology - Stevens, Davis - John Wiley & Sons
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