Finding Fundamental Length

Now we will proceed to find the Fundamental Lenth, i.e., Theoritical length

Note that this is a length from the Blowhole center to the open end. First we have to find the wave length for the fundamental, for that the equation is

C = Y x F

                       Where, C = Velocity of the sound
                                   Y= Wavelength
                                   F = frequency

Suppose i want to make the A flute with frequency = 440 Hz . The Lowest Frequency will be Pa (G), frequecny = 440x2/3= 293 Hz

So the wavelength is Y = C/F

Taking the velocity of the sound =330 m/s

Y = 330/293

Y=1.12 Mtrs

Now this is the wavelength of our first harmonics,
To find length L = Y/4
So this will be 1.12/4 =  0.28 mtrs = 28 cms.
 so the distance from blowhole to end of the other flute will be 28 cms, not considering the corrections.
Hence the length will be kept slight more to do practical tuning and finding K1 and K2, which is explained in the earlier posts.