If a 220-Hz sinusoid sampled at
Hz is played
back at
Hz (
), then the
- period between the samples will be twice as long:
- and the period of oscillation will double:
![$\displaystyle T_2 = 2T_1 = \frac{2}{f_1} = \frac{2}{220}$](img32.png)
s
- and the corresponding frequency will be halved (sound an octave lower):
![$\displaystyle f_2 = \frac{1}{T_2} = \frac{220}{2} = 110$](img34.png)
Hz
``Music 171: Fundamentals of Digital Audio''
by Tamara Smyth,
Department of Music, University of California, San Diego (UCSD).
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Copyright © 2019-10-15 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>