Adding mass at a node leaves a vibrating string’s mode unchanged
Evidence
When a string is plucked, it is pulled a small distance away from its rest position and released. The nature of the sound source it provides to the body of the instru ment depends in part on the position on the string at which it is plucked. This is directly related to the dis placement component modes that a string can adopt. For example, if the string is plucked at the center, as indicated by the central dashed vertical line in Figure 4.6, modes which have a node at the center of the string (the 2nd, 4th, 6th, 8th, 10th, etc., or the even modes) are not excited, and those with an antinode at the center (the 1st, 3rd, 5th, 7th, 9th, etc., or the odd modes) are maximally excited. — David Howard, Jamie Angus, coustics and Psychoacoustics, 1107 (
#expands, via linked claim)
Categorization
- XREF: connects to: Plucking a string at a node suppresses every Nth harmonic; A tiny extra mass ruins a string’s harmonic spacing and makes it sound sour; Plucking position on a string determines which harmonic modes are suppressed — David Howard, Jamie Angus, coustics and Psychoacoustics, 1107
Related
- Plucking a string at a node suppresses every Nth harmonic (similarity 0.93)
- Plucking position on a string determines which harmonic modes are suppressed (similarity 0.91)
- Striking near a string’s fixed end cancels the sound (similarity 0.89)
- Plucking position on a string suppresses modes with nodes there (similarity 0.86)
- Adding mass at a node leaves that mode unchanged (similarity 0.85)
- A tiny extra mass ruins a string’s harmonic spacing and makes it sound sour (similarity 0.84)
- Only exact integer-fraction plucking positions completely suppress harmonic modes (similarity 0.83)
- A stringed instrument’s pluck position can be read from harmonic amplitude dips. (similarity 0.81)
- Attaching mass to a string lowers odd harmonics and can trigger chaotic screech (similarity 0.79)
- Plucked strings vibrate autonomously after excitation, simplifying their modelling. (similarity 0.78)
Broader Connections
- Plucking a string at a node suppresses every Nth harmonic
#expands(0.95) - Plucking position on a string determines which harmonic modes are suppressed
#expands(0.92) — David Howard, Jamie Angus, coustics and Psychoacoustics, 1107 - A tiny extra mass ruins a string’s harmonic spacing and makes it sound sour
#complicates(0.85)