Vocal tract behaves like a stopped pipe.
The fundamental frequency for a stopped pipe is given with the following formula:
[tex]f_0=\frac{v}{4L}[/tex]
Higher harmonics are simply:
[tex]f=nf_0; n=1,3,5,7,9...[/tex]
Keep in mind that the stopped pipe produces only odd harmonics.
Lenght of a human vocal tract is 17cm(for males, females have slightly shorter vocal tract). We can now calculate the answers.
[tex]f_0=\frac{344}{4\cdot 0.17}=505.88$Hz[/tex]
Now we can calculate higher harmonics:
[tex]f_3=3f_0=1517.64$Hz[/tex]
[tex]f_5=5f_0=2529.4$Hz[/tex]
