FWIW, I’m an engineer, although not a sound engineer.
Half life is simply a mathematical term used to describe any kind of decay, so yes it could be used to describe the characteristics of a string’s vibration.
But is it useful as a practical objective comparison between two instruments? Meh. Not even remotely, in my opinion.
One issue you’d encounter is terminology. Technically, there are four phases in an envelope: attack, decay, sustain and release. On a plucked string instrument, there is an abrupt attack phase, a somewhat equally abrupt decay, followed by what is basically merged sustain and release phases.
I disagree that this wave would remain a constant shape regardless of the initial energy put into it, particularly across the full range of an instrument. There are far too many variables at play.
I would be interested in seeing the curves for various strings, at various points in their lives, but simply to satisfy my own curiosity.
Half life is simply a mathematical term used to describe any kind of decay, so yes it could be used to describe the characteristics of a string’s vibration.
But is it useful as a practical objective comparison between two instruments? Meh. Not even remotely, in my opinion.
One issue you’d encounter is terminology. Technically, there are four phases in an envelope: attack, decay, sustain and release. On a plucked string instrument, there is an abrupt attack phase, a somewhat equally abrupt decay, followed by what is basically merged sustain and release phases.
I disagree that this wave would remain a constant shape regardless of the initial energy put into it, particularly across the full range of an instrument. There are far too many variables at play.
I would be interested in seeing the curves for various strings, at various points in their lives, but simply to satisfy my own curiosity.