Missing Harmonics in FM Spectrum

For $ N_2 > 1$, every $ N_2^{\mbox{th}}$ harmonic of $ f_0$ is missing in the spectrum.

This can be seen in the plot below where the ratio of the carrier to the modulator is 4:3 and $ N_2=3$.

Figure 15: Spectrum of a simple FM instrument, where $ f_c = 400$, $ f_m = 300$, and $ I = 2$.
\scalebox{0.8}{\includegraphics{eps/fmspec4_3.eps}}

Notice the fundamental frequency $ f_0$ is 100 and every third multiple of $ f_0$ is missing from the spectrum.


``Music 270a: Modulation'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).
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Copyright © 2019-10-28 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>