3f395904c6
generate_arcoStrings, generate_bassoon, generate_clarinet, generate_flute, generate_horn, generate_oboe, generate_organ, generate_saxophone, generate_shepardsCarillon, generate_shepardsOrgan, generate_shepardsStrings, generate_trumpet, generate_tubularBells
42 lines
1.9 KiB
Matlab
42 lines
1.9 KiB
Matlab
function x = generate_horn(amplitude, frequency, phase, fs, duration, duty)
|
|
% GENERATE_HORN: returns a matrix of sampled waveform similar to
|
|
% a horn.
|
|
|
|
% CONTRIBUTORS:
|
|
% Brandon Roberts: Original author
|
|
% MuseScore: Reference source for overtone information
|
|
|
|
% DOCUMENTATION:
|
|
% phase shift is in number of periods
|
|
% fs is the sampling frequency: how many sample points per second
|
|
% duration is time in seconds
|
|
% duty does not apply for instruments
|
|
|
|
|
|
% setup needed variables
|
|
n = fs * duration; % total data points
|
|
dt = 1 / fs; % space between samples
|
|
|
|
% initialize template time scale
|
|
t = [1:n].*dt - phase;
|
|
f = frequency .* (1 + 0.0002 .* sin(4.*pi.*t)./t); %frequency vibrato
|
|
|
|
% generate proper fundamental and overtones
|
|
x = (0.21707879.*amplitude .* sin(2.*pi.*f.*t)) ... %fundamental (first partial)
|
|
+ (amplitude .* sin(4.*pi.*f.*t)) ... %second partial
|
|
+ (0.234667056.*amplitude .* sin(6.*pi.*f.*t)) ... %third partial
|
|
+ (0.088606568.*amplitude .* sin(8.*pi.*f.*t)) ... %fourth partial
|
|
+ (0.0864485981.*amplitude .* sin(10.*pi.*f.*t)) ... %fifth partial
|
|
+ (0.0275181724.*amplitude .* sin(12.*pi.*f.*t)) ... %sixth partial
|
|
+ (0.0472968588.*amplitude .* sin(14.*pi.*f.*t)) ... %seventh partial
|
|
+ (0.0246462876.*amplitude .* sin(16.*pi.*f.*t)) ... %eighth partial
|
|
+ (0.00816134476.*amplitude .* sin(18.*pi.*f.*t)) ... %ninth partial
|
|
+ (0.00691199377.*amplitude .* sin(20.*pi.*f.*t)) ... %tenth partial
|
|
+ (0.00494872793.*amplitude .* sin(22.*pi.*f.*t)) ... %eleventh partial
|
|
+ (0.0048026999.*amplitude .* sin(24.*pi.*f.*t)) ... %twelth partial
|
|
+ (0.00335864486.*amplitude .* sin(26.*pi.*f.*t)) ... %thirteenth partial
|
|
+ (0.00262850467.*amplitude .* sin(28.*pi.*f.*t)); %fourteenth partial
|
|
x = x .* (1 + 0.05 .* sin(2.*pi.*t)); %volume vibrato
|
|
end
|
|
|