A free-edged cymbal plate produces inharmonic, mixed modes

Evidence

Like a string, a thin membrane has little resistance of its own to bending and so derives its resistance to deformation from the tension that is applied at its extremities—for example, a rim in the case of a drum. Even if the rim is a simple shape (circles, ovals, squares, and the like, all lying in the same plane), the partials are not harmonically related. The frequencies of the particals depend on the tension and the shape of the rim. — Eric J. Heller, Why You Hear What You Hear- An…, 1357 (#corroborates, via linked claim)

Categorization

• XREF: connects to: Marimba-like instruments with joined bars and resonators arose independently on three continents; A hammer strike excites every mode an instrument can support simultaneously — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1266; Where you strike a percussion instrument governs which modes sound (+5 more)

Broader Connections

• Dispersive waves in stiff bars produce inharmonic modal frequencies #expands (0.90)
• Nonharmonic natural modes give struck percussion instruments their clangy identity #expands (0.85)
• Drum membrane modes are not harmonically related #corroborates (0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 1357
• Differing tensions on paired drum heads deliberately spread nonharmonic modes to sound nonpitched #exemplifies (0.75)