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I am working on a guitar/piano synthesizer for my own interest. When a string is plucked or struck, tension increases causing a slight pitch bend and change in the inharmonicity. This change then settles as the note quiets down. Thus it is important to model how the tension rises above baseline when a note is struck and evolves.
I have put a lot of thought into it and my presumption is that the tension increase from excitation must vary in some fairly direct manner with the amplitude of the total audio output signal of the string.
Let's say a string has a resting tension of 70 N with a resting audio signal output of amplitude 0. Let's say you then calibrate the simulation so an output amplitude of 1 corresponds to a tension increase to 72 N. Would there be a linear relationship between the tension and the amplitude changes, so that at an output of 0.5 there would be 71 N tension expected?
If not, how would the relationship likely work?
Thanks.
I have put a lot of thought into it and my presumption is that the tension increase from excitation must vary in some fairly direct manner with the amplitude of the total audio output signal of the string.
Let's say a string has a resting tension of 70 N with a resting audio signal output of amplitude 0. Let's say you then calibrate the simulation so an output amplitude of 1 corresponds to a tension increase to 72 N. Would there be a linear relationship between the tension and the amplitude changes, so that at an output of 0.5 there would be 71 N tension expected?
If not, how would the relationship likely work?
Thanks.