Higher drum modes self-compensate and leave kettle volume unchanged

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 (#complicates, via linked claim)

Categorization

• XREF: connects to: The kettledrum bowl lowers its head modes toward harmonic ratios; Drum membrane modes are not harmonically related — Eric J. Heller, Why You Hear What You Hear- An…, 1357; Differing tensions on paired drum heads deliberately spread nonharmonic modes to sound nonpitched (+4 more)

Broader Connections

• The kettledrum bowl lowers its head modes toward harmonic ratios #corroborates (0.82)
• Strike placement on a drum excites modes by their amplitude at that point #expands (0.78)
• Drum membrane modes are not harmonically related #complicates (0.75) — Eric J. Heller, Why You Hear What You Hear- An…, 1357
• Percussion bars are shaped to tune their modes toward harmonic ratios #exemplifies (0.75) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1287
• Differing tensions on paired drum heads deliberately spread nonharmonic modes to sound nonpitched #complicates (0.72)