Inharmonic sounds like bells can produce multiple simultaneous pitches

Evidence

Pitch perception becomes an even more complex phenomenon if the sound consists of partials that are not necessarily whole number multiples of a common fundamental frequency. For example, church bells and other vibrating bars and plates generate tone complexes with partials in more or less inharmonic succession. There may be one or more pitches perceived from the bell sound, and the pitches may correspond to some high-level partials in the spectrum, or they may be virtual pitches generated by some partials. — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 1118