3 ms·
The amount of space needed for a certain frequency in air is different to the length needed for that same frequency in a wire. It might help to see the formula
by Nition 4y ago
The amount of space needed for a certain frequency in air is different to the length needed for that same frequency in a wire.
It might help to see the formula, which is:
Frequency = sqrt(tension/(mass / length)) / (2 * length)
So length, tension, and mass are all factors. Modern upright pianos also string the bass strings diagonally to give them a bit of extra length.
Having said all that, the same bass notes on longer pianos that can fit longer strings sound more sonorous. I'm not sure exactly why that is. For an extreme example see for instance the Alexander Piano[0], or the Klavins 370[1].
[0] https://youtu.be/PcP8UMgsmFo?t=132 https://youtu.be/PcP8UMgsmFo?t=132
[1] https://www.youtube.com/watch?v=LPGw-Va5xPU https://www.youtube.com/watch?v=LPGw-Va5xPU
- dehrmann 4y agoI can almost imagine seeing the low bass string on the longest piano vibrating. The frequency is so low you can pick hear the peaks and valleys.