/usr/share/puredata/doc/3.audio.examples/F10.sweepable.FM.pd is in puredata-doc 0.46.7-3.
This file is owned by root:root, with mode 0o644.
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#X text 167 6 APPLYING TWO-COSINE CARRIER TO FM;
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#X text 106 207 fundamental;
#X text 106 227 (= mod freq);
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#X text 21 3 This subpatch computes the spectrum of the incoming signal
with a (rectangular windowed) FFT. FFTs aren't properly introduced
until much later.;
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#X text 31 30 We can apply the two-cosine method to FM synthesis to
get FM spectra which slide up and down: we just treat the cosines like
carrier signals in an FM instrument. This doesn't work as well as you'd
wish \, because the phases of the partials of the two FM instruments
don't line up \, so that \, for indices of modulation above about 20%
\, you get beating effects as the center frequency goes up and down.
;
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