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

APPENDIX B. PROGRAM LISTINGS 319
*/
complex holeInnerRadiationImpedance(double f, Hole hole);
/*
Calculates the inner radiation impedance of a hole.
Parameters:
f: the frequency.
h: the hole.
Returns:
The inner radiation impedance impedance of the hole.
*/
complex holeSeriesImpedance(double f, Hole hole);
/*
Calculates the series impedance of a hole.
Parameters:
f: the frequency.
h: the hole.
Returns:
The series impedance impedance of the hole.
*/
TransferMatrix embouchureMatrix(double f, EmbouchureHole h,
double entryratio, complex branchZ);
/*
Calculates the TransferMatrix for an EmbouchureHole.
Parameters:
f: the frequency in Hz
h: the EmbouchureHole
entryratio: the ratio of the input side radius (impedance head or
embouchure) to the outside radius of the embouchure hole
branchZ: the impedance of the impedance branch (upstream or
downstream section)
Returns:
the TransferMatrix relating the acoustic parameters on the input
side of the embouchure hole to those at the output side (inside of
the instrument)
*/
double embouchureLengthCorrection(double a, double b);
/*
Returns the empirically-determined embouchure length correction.
Parameters:
a: the bore radius at the embouchure hole
b: the inside radius of the embouchure hole
Returns:
the length correction
*/
complex embouchureSeriesResistance(double f, EmbouchureHole h,
double entryratio);
/*
Returns the empirically-determined embouchure series resistance
correction.
Parameters:
f: the frequency in Hz
h: the EmbouchureHole
entryratio: the ratio of the input side radius (impedance head or