Table A7

Order of magnitude of equivalent reed parameters (mass, damping, stiffness, resonance frequency, quality factor) of reed + lip system in simulated or real playing situation.

Instrument Clarinet
Tenor saxophone
Reference [107]
[28]
[24]
[42]
Conditions Measurements Simulation Measurements
Effective area Sr = Sd (m2) [3–8] 10−5 1.77 · 10−4
Equivalent stiffness Ka (N m−3) 1.24 · 107 [7–21] 106 1.24 · 107 4.8 · 106
Equivalent mass Ma (kg m−2) 0.0231 0.05 0.056 0.269
Resonance frequency (Hz) 3687.4 [1883–3262] 2368.3 672
Equivalent resistance Ra (kg s−1 m−2) 67 145 25.4 1 · 103
Equivalent damping g (s−1) 2900 2900 453 3717
Equivalent quality factor Qr 8 [4.1–7] 32.8 1.13
Equivalent damping factor qr 0.125 [0.14–0.24] 0.03 0.88
Nonlinear stiffness kc (N m−4) 3.7 · 1011 7 · 1011

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