Find the first five harmonics of the string A, C#, and E and find the nearest equality of the harmonics of each string.

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Chapter 18, Problem 60P

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Find the first five harmonics of the string A, C#, and E and find the nearest equality of the harmonics of each string.

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A violin string of length L=31.8 cm and linear mass density u=0.64gm/is tuned to play an A4 note at 440.0 Hz. This means that the string is in its mode of oscillation fundamental, that is, it will be on that note without placing any fingers on it. From this information, D. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string. The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down from the headstock: What would be the new fundamental frequency, that is, the frequency of the new note that is being produced assuming it has the same tension as in part A? ii. i. What would be the new frequency of the note, if instead of using the technique described above for violin playing, the technique called artificial harmonic is used, where the string is only partially…

A violin string L = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information: When playing the violin, different notes may be produced depending on the position of the the fingers of one hand on the string. The usual technique forcefully presses the string against the fingerboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for a La4 note, and a finger is placed one third of the length, down from headstock: i. What would be the frequency of the new note being produced assuming a tension of 50,26N?