Electro-acoustic control of radiation impedance for brass instrument timbre shaping: design of a vocalizing mute

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Table 1.

Numerical values of parameters used in the model of Z_R. r_bell is measured on a trombone Jupiter JVL 528. The value of θ₀ comes from [26].

Symbol	Value	Unit
ρ₀	1.2	kg.m⁻³
c₀	340	m.s⁻¹

r_bell	8.0·10⁻²	m
θ₀	72.4	°
$r_{0} = \frac{r_{bell}}{sin (θ_{0})}$ $r_0 = \frac {r_{bell}}{\sin (\theta _0)}$	8.39·10⁻²	m
$S_{0} = 2 π r_{0}^{2} (1 - cos (θ_{0}))$ $S_0 = 2\pi \,r_0^2 (1 - \cos (\theta _0))$	3.09·10⁻²	m²
f_c	893	Hz

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