Re:Valproate reopens critical-period learning of absolute pi...
by dr_dshiv on Monday August 10, 2020 @06:08PM
(#24114611)
But pianos are tuned with 2:1 ratios. That is preserved in equal temperment.
Re:Valproate reopens critical-period learning of absolute pi...
by klodolph on Monday August 10, 2020 @07:38PM
(#24115517)
No, pianos are not tuned in 2:1 ratios.
From the article you cited:
> This list of frequencies is for a theoretically ideal piano. On an actual piano the ratio between semitones is slightly larger...
For more details, see:
https://en.wikipedia.org/wiki/Stretched_tuning
Or,
https://en.wikipedia.org/wiki/Piano_acoustics#The_Railsback_...
Not true in general. There is no reason to expect the 2nd harmonic to be louder than the others. Some instruments produce mostly odd-numbered harmonics, such as the clarinet.
> This is not some artificial construct but a fundamental part of how things vibrate.
That's only true in a one-dimensional world. Instruments in the three-dimensional world are either mode-locked (not freely vibrating) or have some amount of inharmonicity. This is why the octaves on a piano are not tuned to 2:1 ratios, as I mentioned.