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Arthur Lu 3f395904c6 implemented instruments:
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
2021-12-11 00:43:24 -08:00

39 lines
1.6 KiB
Matlab

function x = generate_clarinet(amplitude, frequency, phase, fs, duration, duty)
% GENERATE_CLARINET: returns a matrix of sampled waveform similar to
% a clarinet.
% 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; %clarinets play without vibrato
% generate proper fundamental and overtones. Note that the clarinet has
% heavily suppressed odd-numbered partials
x = (amplitude .* sin(2.*pi.*f.*t)) ... %fundamental (first partial)
+ (0.00290397158.*amplitude .* sin(4.*pi.*f.*t)) ... %second partial
+ (0.368654023.*amplitude .* sin(6.*pi.*f.*t)) ... %third partial
+ (0.0733323309.*amplitude .* sin(8.*pi.*f.*t)) ... %fourth partial
+ (0.299729339.*amplitude .* sin(10.*pi.*f.*t)) ... %fifth partial
+ (0.0483901284.*amplitude .* sin(12.*pi.*f.*t)) ... %sixth partial
+ (0.0941300303.*amplitude .* sin(14.*pi.*f.*t)) ... %seventh partial
+ (0.033165423.*amplitude .* sin(16.*pi.*f.*t)) ... %eighth partial
+ (0.00803526117.*amplitude .* sin(18.*pi.*f.*t)) ... %ninth partial
+ (0.0131383569.*amplitude .* sin(20.*pi.*f.*t)); %tenth partial
x = x .* (1 + 0.05 .* sin(10.*pi.*t)); %slight volume vibrato added for character
end