music piece creation with matlab

I am carrying out a project where I should synthesize a piece of music where each musical note can be represented by a specific frequency.

where each note has a frequency equal to 2 ^ (1/12). assuming that the notes are in the octave which contains the frequencies in the range (220hz-440hz)

the question is how I can construct a discrete time signal of the notes of a piece of music. Use a sampling rate of 8000 samples per second and insert rests between notes.

and also how do I digitally shift up or down an octave, adjusting the duration of each note accordingly.

finally I should convert the volume of each note to a decrease over time, to make the music more realistic.

Answer 1

[Star Strider]

I provided an outline on how to do exactly that in my Answer to your previous question: music piece with matlab .

Just change to :

A3 = 220;
A4 = 440;
A5 = 880;
Notes = A3*2^(1/12).^linspace(0, 11, 12);               % Note Frequencies
Fs = 8000;                                              % Sampling Frequency
t = linspace(0, Fs-1, Fs)/Fs;                           % Time Vector
NotesMatrix = sin(2*pi*t(:)*Notes);                     % Matrix Of One-Second Notes
for k = 1:size(NotesMatrix,2)
    soundsc( NotesMatrix(:,k), Fs)
    pause(1.1)
end

The code works. You will need to make the appropriate changes to make it work with your project.

.

Answer 2

[Jan]

You create the signal using sin() or cos() commands. 220Hz at 8000 Hz sampling frequency:

F = 8000;
t = linspace(0, 1, F);   % 1 second
f = 220;
A = 1.0;  % Amplitude
y = A * sin(2 * pi * f * t);
sound(y, F)

Shifting up by an octave means multiplying f by a factor of 2.

Decreasing the volume over the time:

A = linspace(1.0, 0.5, F);      % From full to half
y = A .* sin(2 * pi * f * t);   % .* is elementwise multiplication

"insert rests between notes" - I'm sure you are able to implement this.

[Giovanni Scamardo]

I have these notes to reproduce: F_A = 220; F_Asharp = 233.08; F_B = 246.94; F_C = 261.63; F_Csharp = 277.18; F_D = 293.66; F_Dsharp = 311.13; F_E = 329.63; F_F = 349.23; F_Fsharp = 369.99; F_G = 392; F_Gsharp = 415.3; how do i put rests between notes?

[Jan]

Rests can be implemente by a pause command or by a signal with 0 values.

Answer 3

[Image Analyst]

I attach a demo where I create a warbling sound. Adapt it as needed, or ask a question about it if you have any.