Adding localized nonlinear losses at the open end of a modeled clarinet raises the oscillation threshold and lowers the extinction threshold, narrowing the playable blowing-pressure range.
and Frappé, C.The Journal of the Acoustical Society of America122(2), 1173–1179 August (2007)
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Oscillation threshold of a Raman clarinet with localized nonlinear losses at the open end
Adding localized nonlinear losses at the open end of a modeled clarinet raises the oscillation threshold and lowers the extinction threshold, narrowing the playable blowing-pressure range.