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Jun 17, 2020 at 8:26 history edited CommunityBot
Commonmark migration
Mar 27, 2020 at 20:01 comment added PJTraill @badjohn: phi now replaced by ψ
S Mar 27, 2020 at 12:46 history suggested PJTraill CC BY-SA 4.0
Copy-edit: use Greek letters and italics to match the equation; nice apostrophes, etc. Link Wikipedia.
Mar 26, 2020 at 21:18 review Suggested edits
S Mar 27, 2020 at 12:46
Mar 26, 2020 at 16:39 comment added Dave You’ve misinterpreted the graph: 40 is at about-3dB/s. 110 is about -20dB/s. That means that the lower frequency sound drops by a factor of 2 per second, while the higher drops by a factor of 100.
Mar 25, 2020 at 0:36 comment added Acccumulation Shouldn't it be $e^{-\kappa t}$?
Mar 24, 2020 at 14:49 comment added user50691 @Alan, as much as I like your answer I think one point is that "the instrument" is more than a string. One of my pet peeves about this question is that it is not clear if the OP is asking about an isolated string, or the acoustics of the piano body. Even if they claim it isolated this is not in general possible. So it's string+plate(s)+air+everything else simulation.
Mar 24, 2020 at 14:32 comment added badjohn Minor point, you say phi(x,t) but actually it is psi.
Mar 23, 2020 at 20:24 comment added user50691 I like this answer. +1. I am quite frankly disappointed that incorrect information is being promulgated and up voted so much.
Mar 23, 2020 at 15:17 comment added leftaroundabout The second half of this answer is pretty good (in particular the graph you showed is highly relevant), but please do something about the part before. That equation you show is merely a generic eigenmode of a d'Alembert-style operator with damping, it doesn't explain anything without linking the coefficients to physical phenomena. (And you don't do a good job of explaining the equation.)
Mar 23, 2020 at 14:00 history edited Alan CC BY-SA 4.0
added 17 characters in body
Mar 23, 2020 at 13:59 comment added Alan Thanks @ggcg, I mixed up the words "shorter" and "longer" throughout my answer, though the intended sentiment was right. I'll update now.
Mar 23, 2020 at 13:30 comment added user50691 Based on your first paragraph I think you flipped the OP's statement. They are asking about high pitch notes lasting shorter, not longer. Unless I misread your answer.
Mar 23, 2020 at 12:47 history answered Alan CC BY-SA 4.0