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Give the time it takes for a vocal tract to open and close (5.5ms), the speed of

ID: 2004677 • Letter: G

Question

Give the time it takes for a vocal tract to open and close (5.5ms), the speed of sound (332m/s) and the length of the vocal tract (11cm), calculate the first three Formants.

My professor calculated the fundamental glottal frequency (1/.0055s = 181.82Hz) but then I didn't write down what to do afterwards.

I think I'm supposed to divide the velocity by the wavelength (332/[4*.11m]) which gives me 754.55Hz, and that the second and third Formants are multiples of 3 and 5 of that frequency, but I'm not sure.

Thanks.

Explanation / Answer

vocal tract is open closed tube then first harmonic f1 = v/4L = 332m/s/ 4 * 11m = 7.54Hz third harmonic f3= 3f1 = 22.63Hz fiftn harmonic f5 = 5f1 = 37.7Hz

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