Bar vibration modes are spaced by squares of odd integers, far apart

Evidence

The intervals between the modes are very wide compared with harmonic spacing, as they are essentially related by the square of odd integers (i.e., 32, 52, 72, 92, …). — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1285

Categorization

• XREF: connects to: A vibrating bar’s higher modes fall outside the musical scale and harmonic spacing. — David Howard, Jamie Angus, coustics and Psychoacoustics, 1309