Timeline for When we press a piano key, why does a high pitch note not run for as long as a low pitch note?
Current License: CC BY-SA 4.0
14 events
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Jun 17, 2020 at 8:26 | history | edited | CommunityBot |
Commonmark migration
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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.
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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
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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 |