Wave propagation speeds depend on shape beyond simple strings

Evidence

As all of these different ways of moving will have different spring constants, they will be affected differently by external factors such as shape. This means that for any shape more complicated than a thin string, the velocity of propagation of transverse modes of vibration becomes extremely complicated. This becomes important when one considers the operation of percussion instruments. — David Howard, Jamie Angus, coustics and Psychoacoustics, 86

Categorization

• XREF: Grounds why percussion instruments (tuned bars, drumheads, cymbals) resist simple harmonic analysis — relevant to the reader’s interest in how material shape shapes perceived sound quality.
• corroborated: 2 independent passages support this claim — David Howard, Jamie Angus, coustics and Psychoacoustics, 86