12. Using the velocity of sound at 343 m/s and given the frequencies of a piano

Question

12. Using the velocity of sound at 343 m/s and given the frequencies of a piano scale. compute the wavelengths of that scale.

 

 

Note:      Frequency       wavelength       note         freq        wavelength

 

C4            261.6                                    G4           392

D4            293.6                                    A4           440

E4            329.6                                   B4             493.9

F4            349.2                                    C5            523.2

 

13. Wht is the relationship of the frequencies of notes C4 and C5?

14. what is the relationship of the wavelengths of notes C4 and C5?

15. what happened to the wavelength as frequency increased between notes C4 and C5?

Explanation / Answer

the relation between frequency and wav elength is                      f = v /                       = v   /f        where f is frequency                 v is speed of sound                is wavelength    Note         Frequency    Wave length   |   Note     frequency    wavelength                                                               |                                                      C4               261.6          343/261.6    |      G4        392              0.875 m                                            = 1.3116m |     D4               293.6           1.168 m      |      A4        440              0.7795m     E4                329.6           1.040 m      |      B4        493.9           0.6944 m     F4                  349.2          0.9822m    |     C5        523.2           0.655 m         13. Two notes with fundamental frequencies in a ratio of any power of two (e.g. half, twice, or four times) are perceived as very similar. Because of that, all notes with these kinds of relations can be grouped under the same pitch class   

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