To avoid ending up with a 4 meters long instrument, in modern pianos the mass per unit length is increased
(using wound strings that have a steel core with a copper winding)pic.twitter.com/ONDq2eGnCy
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To avoid ending up with a 4 meters long instrument, in modern pianos the mass per unit length is increased
(using wound strings that have a steel core with a copper winding)pic.twitter.com/ONDq2eGnCy
fundamentally they're so similar with acoustic guitars, if you listen well you can almost hear a piano from a guitar and vice versa
What about the shape of the bell on brass instruments? I guess it would be some conic curve (hyperbolic?) because it involves reflection, but I couldn't find anything on the subject
About exponential indeed (impedance match with zero reflection in). http://mafija.fmf.uni-lj.si/seminar/files/2013_2014/The_physics_of_the_trumpet_(Bostjan_Berkopec).pdf … See book by Fletcher/Rossing
The final A (880 Hz) is twice the frequency of the lower A (440 Hz), that is, one octave higher. Twelfth root of two was calculated in 1636 by the French mathematician Marin Mersennepic.twitter.com/Icq9blKiGi
There are a couple more A’s after that. 440 is A above middle C.
Link to source?
Hi Fermat, Physics Union here. We're revoking your card unless you complete some remedial study. Please approach the chalk/white/electronic board and start from first principles. Hint: why are the frets on a guitar unevenly spaced? 2nd hint: a piano is a guitar mapped to a ruler.
Ran out of room for snark. 3rd hint: assuming constant mass and constant tension makes it easier to understand, even if real pianos and guitars use many tricks such as variable mass and tension to keep to a manageable size.
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