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

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Table C.1.

Comparison of the frequencies F_k and amplitudes A_k of the first five peaks $Z_{in}^{†}$ $Z_{\mathrm {in}}^\dagger$ and Z_in.

k	1	2	3	4	5
$F_{k}^{†}$ $F^\dagger _{k}$ [Hz]	112.376	169.574	226.772	286.661	341.84
$A_{k}^{†}$ $A_{k}^\dagger$ [dB]	147.867	146.212	146.63	147.294	145.778
$F_{k}^{†} - F_{k - 1}^{†}$ $F^\dagger _{k} - F^\dagger _{k-1}$ [Hz]	×	57.198	57.198	59.889	55.179

F_k [Hz]	108.339	172.939	228.117	290.698	343.858
A_k [dB]	171.039	174.805	172.307	152.902	182.28
$F_{k}^{†} - F_{k - 1}^{†}$ $F^\dagger _{k} - F^\dagger _{k-1}$ [Hz]	×	64.6	55.178	62.581	53.16

$\frac{F_{k} - F_{k}^{†}}{F_{k}^{†}}$ $\frac {F_{k}-F^\dagger _{k}}{F^\dagger _{k}}$	−3.59%	+1.99%	+0.59%	+1.41%	+0.59%
$\frac{A_{k} - A_{k}^{†}}{A_{k}^{†}}$ $\frac {A_{k}-A^\dagger _{k}}{A^\dagger _{k}}$	+15.67%	+19.56%	17.51%	+3.81%	+25.04%

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