Only exact integer-fraction plucking positions completely suppress harmonic modes

Evidence

Thus if the plucking point is a third of the way along the string, the modes not excited are the 3rd, 6th, 9th, 12th, 15th, etc. For a component mode not to be excited at all, it should be noted that the plucking distance has to be exactly an integer fraction of the length of the string in order that it exactly coincides with nodes of that component. — David Howard, Jamie Angus, coustics and Psychoacoustics, 1111

Categorization

• XREF: connects to: Plucked-string spectra reveal the plucking point through nulled harmonics — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1127