Physics Help Forum Fundamental frequency of guitar string vs fundamental note of sound
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Aug 8th 2014, 06:23 AM   #1
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Fundamental frequency of guitar string vs fundamental note of sound

how to solve this? the ans is 352, 704 and 1056hz i have no idea. can someone help ? thanks!
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 Aug 8th 2014, 09:55 AM #2 Senior Member     Join Date: Apr 2008 Location: Bedford, England Posts: 668 1/4 length of string gives 4* frequency the string is divided into two portions, the longer bit is 3 times longer than the short bit.
Aug 8th 2014, 07:51 PM   #3
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 Originally Posted by MBW 1/4 length of string gives 4* frequency the string is divided into two portions, the longer bit is 3 times longer than the short bit.
why the fundamental frequency of note isnt equal to fundamental frequncy of string?

 Dec 21st 2015, 03:58 PM #4 Banned   Join Date: Dec 2015 Location: Tintagel,.Cornwall, UK Posts: 48 Fundamental ? frequencies. You have posed a tough one here. Remember first of all that we don't actually hear sound at all. That which our Brain registers is the result of a mysterious computation which takes place in a very mysterious process. It is usual to take (mathematically) an octave to be a doulbling of frequency. I had a collaegue who got roped into a scheme to build an electronic organ for their church. The construction work finished he borrowed a load of equipment from the laboratory and spent the weekend meticulously setting-up the whole legion of oscillators. Then they called in the organist! On Monday morning he reported to me that: "It sounded b**** awful!" He had set his oscillators on a linear scale whereas in Nature everything works on logarithmic scales; i.e. each note is related to the last, not by a fixed interval, but by a percentage of the last. Think about it and you should discover why it takes constant practice to play a vio!. It also explains the extreme difficulty of independent navigation in Space. In Nature, no matter the discipline, everything operates on log scales. Talk to a piano tuner and ask why he does not use an electronic tuner instead of constantly bashing keys together so making a most boring noise. The instrument does not have to BE right - it has to SOUND right. I stand to be corrected but I believe Mozart championed the "even-tempered scale" which enabled construction of the modern piano and such things as the pipe organ. Ken Green
 Dec 22nd 2015, 08:53 AM #5 Physics Team   Join Date: Feb 2009 Posts: 1,425 The question is ambiguous. 1/4 th from which end? The bridge or the nut? If we assume from the nut end, then it is the remaining length of the string that is 3/4 L (L is the original length ) which is responsible for the frequency generated . Thus 3/4 L corresponds to lambda/2 as the string is now clamped at two ends, the fret and the bridge. Thus lambda corresponds to 2 x (3/4) L or 3/2 L. Since the wave speed in the string is the same say v, v = f1 x lambda1 = f2 x lambda 2. Now L = lambda / 2, or lambda = 2L for the frequency of 264 Thus, 264 x 2L = f2 x (3/2) L. Thus f2 = (264 x 2 x 2) / 3 which gives you the required answer of 352 Hz. The next overtone will correspond to half the current length or twice the current frequency. The one after will correspond to 1 / 3 of the current length or thrice the current frequency, giving you the required 705 and 1056 Hz.
 Dec 25th 2015, 07:23 PM #6 Banned   Join Date: Dec 2015 Location: Tintagel,.Cornwall, UK Posts: 48 Frequency of string instrument. As a follow up on my last post y ou might consider making measurements on a viol. It appears to produce wavelengths which it cannot support physically. In his later years it was said that Sir Henry Wood lost much of his high-frequency hearing and yet he was known to tick-off one of his violinists for being a fraction of a tone flat! I believe that the snswer to this perplexity lies in the fact that, similar to seeing, we do not hear anything directly. It is a matter of serious computations in the Brain honed over many generations by the urge to survive. Kn Green

 Tags frequency, fundamental, guitar, note, sound, string

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