Pictured below the first three harmonics of sound waves in a closed-open ended pipe.

If the pipe length is 50cm or 0.5m long (rough size of a ‘normal’ clarinet), what are the wavelengths and frequencies of the 3 pictured modes (m= 1, 3, 5), assuming it is filled with air?

a. l =f=b. l =f=

c. l=f=

d. Can the relationship between any two of these modes be described as an octave?

pur-new-sol