The seventh harmonic of a one end closed pipe organ has a frequency of 732 Hz, on a day when the temperature is 10 degrees Celsius. How long is the pipe? How long would it be for 732 to be the first harmonic?

1 answer

speed of sound in air at atmosphere
v = 331 m/s + (0.6 m/s/C)•T
v=wavelength * Frequency
=> wavelength= v/Frequency = 0.46 m if 732 were first harmonic

=> Length being 7th harmonic
= 7 * 0.46 m = 3.22 m