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Flute acoustics: measurement, modelling and design - School of ...

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136<br />

Appendix A<br />

Impedance spectra<br />

A.1 PEARL MODERN FLUTE<br />

The following graphs show the magnitude <strong>of</strong> the measured input impedance spectra for a modern<br />

(Boehm) flute (Pearl PF-661, open hole with C foot) for all recommended fingerings. The<br />

tuning slide was set at 4 mm <strong>and</strong> the cork at 17.5 mm. The impedance spectra were measured<br />

using an impedance head <strong>of</strong> diameter 7.8 mm. The inertance <strong>of</strong> a stub <strong>of</strong> air <strong>of</strong> length 5 mm<br />

<strong>and</strong> diameter 7.8 mm was added to the <strong>measurement</strong>s <strong>and</strong> simulations in order to approximate<br />

the effect <strong>of</strong> a player’s face impedance <strong>and</strong> to facilitate comparison with earlier <strong>measurement</strong>s<br />

(Wolfe et al. 2001a). The <strong>measurement</strong>s were made at T = 21.6 ± 0.5 °C <strong>and</strong> relative humidity<br />

37 ± 1 %.<br />

Measurements were also made with a B foot <strong>and</strong> for several alternate <strong>and</strong> mutiphonic fingerings.<br />

For brevity these are not reproduced here. For a complete set <strong>of</strong> <strong>measurement</strong>s together<br />

with sound files <strong>and</strong> comments for each note see .<br />

C4 — XXXXXXXXXXXXXXXX<br />

10 8<br />

10 7<br />

|Z| (Pa s m −3 )<br />

10 6<br />

10 5<br />

model<br />

experiment<br />

10 4<br />

0 1 2 3 4<br />

f (kHz)

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